diff --git "a/data/dm_maths/full_data_2/11234_11255.jsonl" "b/data/dm_maths/full_data_2/11234_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11234_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k = -4.3 - -4.2. Let d be (2\/5)\/((-11)\/5). Let t = 2 - 1. What is the closest to t in d, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Suppose u*x = 2*x. Suppose x = -l + s + 7 + 2, 5*s = l - 13. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*h + 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003925 rounded to 7 dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880657.\nAnswer: 1880657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3\/4 (c) 1\/5 (d) 1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - m + 206 + 36, 0 = 3*m + 12. Let a = p + 29. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3*3 + sqrt(153))**2 + -4.\nAnswer: 9788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(24)\/sqrt(2)) - ((sqrt(77) - (-3*sqrt(77) + sqrt(77)) - sqrt(77))\/sqrt(7) + sqrt(11)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 4*l**7\/105 - l**4\/12 - 9*l**2\/2 - 10. Let c(m) be the second derivative of b(m). Find the second derivative of c(i) wrt i.\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n**2 + 2*n + 1. Let y be (-1*120\/(-6))\/(-2 - -6). Calculate i(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/60456 and -12\/2519.\nAnswer: 60456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -1\/4 (b) -2\/131 (c) -1116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 327.6 + 1748.4. Let h = -2076.00002274 + v. Round h to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026304005 divided by 8077?\nAnswer: 127065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 39535356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -q. Factor -5*z**5 + 3*z**3 + 2*z**3 - z**q + z**5.\nAnswer: -4*z**3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/6 (b) -6\/11 (c) 476 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3314792557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 167?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 97767*v - 1564249. Give d(16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 503.9 + -508.9. Which is the nearest to 0? (a) 3\/14 (b) g (c) 0.09 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/15)\/(-2) - (-4)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 149980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 + 633226*n**4 + 5065924*n**3 + 3799532*n**2 - 25329730*n + 15831050 = 0.\nAnswer: -5, 1, 316621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a factor of 18796863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ab3c2a (base 13) in base 6?\nAnswer: -1205224422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 + -127. Let b = -198 - -200. Put b, 2\/5, l in descending order.\nAnswer: l, b, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*o - 1, -4*o - 5 = -3*z - 0. Let c(a) = -a**2. Let q(v) = -1 + 4 - 13*v**2 + 14*v**2. Calculate z*c(i) + q(i).\nAnswer: -2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -191, -307 in increasing order.\nAnswer: -307, -191, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - sqrt(72)*-2)*-6.\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 + 87*w - 91. Let r be (0\/(-3))\/(-5) - -6. Let k(z) = z**2 + z + 1. Let t(i) = r*k(i) + 2*q(i). Let t(p) = 0. What is p?\nAnswer: 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -16*p**2 - 134*p - 28. Determine k(-7).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 172.\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3144 = 5*l + 3*c, -l + 5*c + 572 + 40 = 0. Let d = l - 625. Let u(m) = -m + 1. Let g(w) = 2*w + 2. What is d*u(n) - g(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from spvsphhhvhjhssssp.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**7\/21 - 3*f**5\/20 - f**3\/3 - 151*f**2\/2 - 18*f - 9. What is the second derivative of v(s) wrt s?\nAnswer: 40*s**3 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -161608, -161636, -161664, -161692?\n\"Answer: -28*r - 161580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y. Suppose -4*r + y = 4*v - 8, 0 = -5*r + 2*v + 45. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5773, -11546, -17319, -23092?\nAnswer: -28865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2786 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3501 - -5332?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22799292 take away -192991?\nAnswer: 22992283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w - 12*w - 12*w + 30*w**3.\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1727 + -780. Let j = n - 3717\/4. Find the common denominator of -49\/16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwfwwswysy. What is prob of sequence ww?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 32. Let v = -72 + 73. Let c = j + v. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 7*w**2 + 6*w - 4. Let b be ((-16)\/(-6))\/((-5)\/15). What is the units digit of q(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 17024*m - 17026.\nAnswer: 2*(m - 8513)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 23*f - 2320. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/5)\/(-10*306\/1700))\/((-2)\/(-42))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 6:19 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + (3 - 0) - (81 + -93)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) 5\/33 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*l - 414*l = 3*j + 12, -4*j = 2*l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - b**2 + 4*b - 24. Let v be s(-4). Calculate the greatest common divisor of 152 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 15. Let f be j(-12). What is the derivative of 1 - 4*y**4 + 3*y**2 + 0 - f*y**2 wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = t + 5 - 7, 5*t = -4*z + 10. Solve 4*p + 11 = 3*p + 5*u, z = -4*p + 2*u + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74 and 4.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.109 rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 16*q + 1\/12*q**4 - 21\/2*q**2 + 0 - 1\/3*q**3. Let u be l(-4). Put 1, u, -3 in descending order.\nAnswer: u, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 235*s + 7 + 12 + 16 - 38. Let r = 0 + 2. Is p(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32637.87m to micrometers.\nAnswer: 32637870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 471688 and 70.\nAnswer: 2358440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 296 divided by 1\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 14, j: 5}. What is prob of sequence jrr?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28653194?\nAnswer: 2, 17, 89, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-16)*(-12)\/(-63). Sort 0.1, i, 4 in ascending order.\nAnswer: 0.1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/37? (a) 0.08 (b) -4 (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6631720 + 356?\nAnswer: -6631353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -3 - 14) + 2 + -1 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 2:07 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 730\/(-10950) + (-6 + 3 - -301*4\/60)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4885, -4879, -4869, -4855, -4837, -4815, -4789?\nAnswer: -4759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 35 = 36. Let l(b) = 1662*b - 8. List the prime factors of l(z).\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63699, -127177, -190655?\n\"Answer: -63478*n - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6 + 2. Let a be r\/10*15\/10. Put 0.4, -2, a in ascending order.\nAnswer: -2, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {p: 6, a: 4, j: 1}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**4 - n - n - 8*n**3 - 14*n**2 + 12*n**3 + 15*n**2 as w + f*n**4 + o*n + c*n**2 + h*n**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6585926.\nAnswer: 2, 37, 61, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 - 816*f + 774*f - 3 + 2*f**2 in the form r*f**2 + t*f + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*t - 103. Suppose t = 18*b - 9. Find the second derivative of 2*g - 20*g**b - 5*g + 4*g wrt g.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 3068*t\/3 - 9222.\nAnswer: 2*(t - 4611)*(t + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*i - 83754 - 61987, 0 = 3*i - n - 145735. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5136 and 19260?\nAnswer: 77040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 5 - 7*i + 6*i - i - 4*i + 4*i + 2*i - 3*i + 0*i + 0*i + 0*i + i + 0*i - 4*i + 3*i + (3 - 3 - i)*(-2 - 3 + 6) to a*i + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -5 in descending order.\nAnswer: 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1088384*v**4 + 28*v**3 + v**2 + 26*v - 1969 wrt v.\nAnswer: -26121216*v + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -443*(-3)\/(-6)*-2. Suppose -7*z = -1451 + w. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33068 and -0.01.\nAnswer: 330.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:48 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/652 and 73\/12?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -0.3. Put 0.2, 3\/5, z in decreasing order.\nAnswer: z, 3\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 544248 and 30236.\nAnswer: 544248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*d - 35620 = 0, -4*p + 7*p = -2*d - 21370. What is p rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269.79 + 3.79. Let m = 266.07 + u. Let c = -1 - 4. What is the nearest to m in 0.5, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -1\/2, 5 in decreasing order.\nAnswer: 31, 5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 - 2) - (-5 - (-19 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 4)*(-11*g**2 + 9*g**2 + 50259*g**3 + 414 - 179 - 235) to n*g**3 + p*g**2 + b + q*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 b, and 1 z when three letters picked without replacement from {m: 3, z: 1, b: 1, w: 1, c: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f**3 + f**2. Let l be k(-1). Let v = l - -21. Is (5829\/v + 2)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141*c - 3*x = 1137*c + 44 - 23, -4*c + 23 = -x for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*m = -6*z + 2994, z = -3*m + 2990. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -63. Sort 6, f, -4 in descending order.\nAnswer: 6, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -32, -51, -56, -35?\n\"Answer: 2*o**3 - 11*o**2 - 2*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*d + 7*d**2 - 90*d**2 + 100*d wrt d?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376125408?\nAnswer: 2, 3, 17, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - s + 17 = 0, -u + 23*s - 28*s = -49. Suppose 7*h**3 + 17\/2 + 25*h - 1\/2*h**u + 24*h**2 = 0. Calculate h.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 2*n**2 + 41. What are the prime factors of l(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*b + 57*b - 4*a = -32, 4*b - 22 = -a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 232342, 464700, 697056, 929410, 1161762, 1394112, 1626460?\n\"Answer: -q**2 + 232361*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 370.54 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-996*p + 2456*p + 1223*p)*(-6*p**3 + 5*p**3 + 6*p**3) as y*p**3 + g + u*p**2 + c*p**4 + n*p and give c.\nAnswer: 13415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 3*d**2 + 9*d + 3. Let y be s(6). Let a = 20 - y. What are the prime factors of a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 7*n + 10. Let t be j(8). Let h be (44\/t)\/(2\/(-10)). Let m be -33*((-4)\/(-12))\/(h + -3). Calculate the greatest common factor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**4 + 1056814*h**3 - 46535571540*h**2 + 683041363091496*h + 170763249262608 = 0. Calculate h.\nAnswer: -1\/4, 44034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8636 and 44.\nAnswer: 94996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 844.432134 and 11?\nAnswer: 833.432134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*w + 36*w + 0*w**3 - 64*w - 12*w**3 - 4*w**4 - 2 to the form u*w**4 + j*w**3 + p + q*w**2 + z*w and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1079464 - -36.068066.\nAnswer: 36.1760124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from dudrrrurrrru.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 + -0.08. Which is greater: -1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10103 (base 8) to base 16\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 1.6, -1\/3, -0.5 in decreasing order.\nAnswer: 5, 1.6, 0.5, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1845.21 + 1858. Let y = 0.49 - c. What is y rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -141341, -141272, -141203?\n\"Answer: 69*x - 141410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.222219 + 1.2127. Round u to 4 decimal places.\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + 2*m + 1 + 2*m)*(188*m**2 + 851*m**2 - 143*m**2).\nAnswer: 3584*m**3 + 896*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 7 = 3*f. Solve 0 = 31*b - 28*b - f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 5*f + 10. Calculate k(-6).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 871736*k - 4358683. Give d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35304 equal to 35304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + -12. Round y to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - 59. Let m = 881 + -798. Let f = o + m. What is the third smallest value in 2, -19, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -356 - -409. Calculate the remainder when p is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1739142 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - -0.2. Let t(s) = -s**3 - 5*s**2 + 3*s - 3. Let h be t(-5). Let g be (1 + h\/10)*(-6)\/(-24). Which is the second biggest value? (a) 9 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4 = -21. Let c(b) = -4*b**2 - 53*b - 95. Let l be c(-11). Solve l*f + 4 = w + 1, -w + 5*f = -n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2636*m + 2620*m + 178624. What is the remainder when m is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(288)\/sqrt(6) + sqrt(3)) + ((1 + sqrt(300))**2 - (sqrt(432) - sqrt(432)*-1 - sqrt(432))**2).\nAnswer: -131 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 938 - 379. Let d be (1\/(-2))\/(y\/52 + -11). Solve -3*n - 30 = -5*o, 0 = -4*n + 3*o + d*o - 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Let m be (-2 - x)\/(-1) + 0. Let y = 3 + 10. Solve -p + y = -5*v, -p = -m*p - 2*v - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 12*x + 6. Let h be p(12). Let v = -11 - -21. What is the remainder when 10 is divided by v\/3 + (-2)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.63166 litres to millilitres.\nAnswer: 5631.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/12 and -55\/163046.\nAnswer: 978276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.251 + -17.551. What is the third smallest value in -2, d, -8, 1\/6, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvjgmppgijgj. Give prob of sequence pm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:08 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d - 4, -b + d - 15 = 0. Suppose 4 = -2*n - 2*s, 2*n = n - 4*s - 14. List the prime factors of (796\/8)\/(n - b\/(-8)).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48647.\nAnswer: 48647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 2177975 = 30130259. Let w = -939252 - i. What is w rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:28 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - 460482?\nAnswer: -460513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 3 = -53*d - 22 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 11:27 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 114\/9*(-1642365)\/(-10). Suppose -x = -v - 2600003, v - q = -x + 519668. What is x rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 5*t + 8. Let x be ((-20)\/(-12) - 1)*6 - -1. Let i(a) = -a**2 - 4*a + 7. Calculate x*p(v) - 6*i(v).\nAnswer: v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = 5*h + k, -8 = -4*h - 4*k. Suppose q + z - 2*z + 4 = 0, -2*q + 16 = 4*z. Solve q = h*x + x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -359212.1 - -8551.26\nAnswer: -350660.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 4. Let j(h) be the first derivative of h**4\/2 - 5*h - 1230. Calculate 3*j(f) - 4*u(f).\nAnswer: -2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81 + 15 - 102)*(2*g - 5*g + g) to the form u*g + f and give u.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55.2 + -55.31. Which is the nearest to 2\/3? (a) -1 (b) s (c) -54\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 232521876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by -3 + 52 + (-15)\/5*1?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x\/x**1))\/x))**(-28))**(3\/32) assuming x is positive.\nAnswer: x**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -142382126 * 0.5\nAnswer: -71191063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let c be 2\/w + (-18)\/4. Is c + 26 - (0 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*q**3)*(-5*q**2 + 3*q**2 + q**2) - 2*q**4 + 5*q**5 + 2*q**4 - 15*q**5 - 14*q**5 + 18*q**5.\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/7 (b) 16 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let c(m) = -3824*m. What is f(c(k))?\nAnswer: 3824*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 0*p + p + (-5*p + 2*p + 4*p)*(-4 - 2 - 4) + (p - 5*p + 3*p)*(-2 - 1 + 5).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1459368)\/(-16) + 0 + 0 + 12\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.982201 rounded to two dps?\nAnswer: -21.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 29. Suppose 2*i = -k*b + 212, 4*b - 2*i = 3*b + 106. What are the prime factors of b?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 + p - 1. Let b(x) = 286*x**2 + 66*x - 66. Let i(d) = -5*b(d) + 330*z(d). Let m(f) = 6*f. Give i(m(s)).\nAnswer: -3960*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 21*i. Let h(g) = -435 + 435 + 2*g**2. Calculate h(p(y)).\nAnswer: 882*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*r**2 - 77 + 136*r**2 - 47 - 11*r - 15*r - 141 wrt r.\nAnswer: -6*r - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27768236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 49893 - (-5 + 5 + 2). Suppose 5*h + d - p = 51508, h + d - 20283 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*f**2*y**2 - 31*f**2 + f*y - 71*y**2 + 16*y + 4 wrt f.\nAnswer: 128*f*y**2 - 62*f + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -f + 4*j + j, 5*f + j - 175 = 0. Suppose -44 = -9*d - f. Sort 7, d, 4 in descending order.\nAnswer: 7, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 16. Suppose -4*n + f + 53 = 0, n = -6*f + f - 13. Calculate the highest common divisor of v and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + 1 + (-23 - -24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + 3*f + 90*f**2 + 173*f**2 + 15*f**2 - 1 - 20*f**2 as i*f**2 + x + k*f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62210995 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2225967 = -974033. What is c rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761139 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 201401566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 4. Solve 0 = -v*w - 3*a + 12, 13 = 3*w - 3*a + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 2) + (-77)\/11. Let z(v) = -10*v - 121. Let c be z(x). What is the second smallest value in c, 0.01, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 705359, -7, -4, -9, -2, 1 in ascending order.\nAnswer: -9, -7, -4, -2, 1, 705359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13411 (base 9) to base 10.\nAnswer: 9082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3270270*b*q**2*r**3 - 7*b*q**2*r - 5*b*q + 74*q + 557*r**3 wrt q.\nAnswer: -6540540*b*r**3 - 14*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 15*i + 51. Let r be x(9). Let t(n) = 3*n**3 - 3*n - 9. Let z be t(-3). Let k be 2\/(-1)*z\/(-18). Put k, r, 3, 0 in increasing order.\nAnswer: k, r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5456086766 to the power of 1\/4, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 - 3*y + 2. Let t(i) = 6*i**2 + 4*i - 3. Let k(n) = 7*c(n) + 5*t(n). Let a be 5*(-2)\/(20\/(-6)). Is k(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 332 + -329. Let w = 360 - 233. Let a = 511\/4 - w. What is the nearest to u in -1\/6, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(16\/(-20)*-5). Solve 0*x - 3*x = o, 5*t = -5*x + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/198*(-3)\/2*-12. Is g at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106951 is divided by 2781?\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 762 - 760. Which is the nearest to -1.9? (a) 0 (b) -1 (c) 0.4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 9:06 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -5, 10 in decreasing order.\nAnswer: 10, 7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 42*j**2 + 2*j - 3. Let q be m(-4). Suppose -q - 896 = -3*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*l = 3*t + 230, -10 = 5*l. Let s = t + 107. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -6 + 0*g**3 + 0*g**5 + 0*g + 2\/3*g**6 - 3\/2*g**2 + 0*g**4. What is the second derivative of j(f) wrt f?\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(0 + -3 + 2) - 8\/((-640)\/(-952)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-20)\/(-6))*725\/725\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 382 - 263. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 5*u - 3*u)*(4 - 2*u - 4) + (0 - 4 + 5)*(-53*u**2 + 218*u**2 - 103*u**2) as g + n*u + q*u**2 and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 5*t**2 - 14*t - 37. Suppose 7*z = 3*z + 4. Calculate the lowest common multiple of z and g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1706*i - 203*i**2 - 9 + 845*i + 861*i in the form z*i + c + k*i**2 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5 + 9*r**3 + 6*r**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-4)*(-1)\/((-3)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -62?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a**3 + a. Let z be d(1). Let b = z - 5. Calculate the least common multiple of 9 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 - (82 + -26 + 68)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990 bigger than 770350\/387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5406712*m**4 - 3895*m**2 - 26*m wrt m.\nAnswer: 129761088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3782584 or -3782467?\nAnswer: -3782584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*k - 31, 32 = -3*w - 2*w + 4*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*s**3 - 22*s**3 - 53 + 77 to the form q*s + t*s**2 + x + u*s**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21021211102202 (base 3) in base 12?\nAnswer: 136a03b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/16*(-17 - -25). Let i(u) = -1 - u**2 + 0*u + 0*u**2 - u**3 + 2*u. Calculate i(o).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 + 93. Is 10 a factor of 67 + 2\/(-2 + v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(w**3 - 5*w**3 + 2*w**3) + 5*w**2 - 6*w**3 + w**3 + 7*w**3)*(-5*w + 43 - 4*w - 45).\nAnswer: -54*w**4 - 57*w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/13)\/(-30)*80\/(-72).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1\/(2\/6*3) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 411, -5, 13, 2 in descending order.\nAnswer: 411, 13, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1156.004 + -250.565. Let m = -899.8 + g. What is m rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 2. Let l(k) = 2*k**2. Calculate l(x(a)).\nAnswer: 2*a**2 - 8*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 474266 divided by -34?\nAnswer: -13949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03368281 rounded to 4 dps?\nAnswer: 0.0337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/58 + 36\/145. Let f = u + 2\/35. Calculate the common denominator of -1 + (-106)\/40 - -3 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 40.42. Let g = 2.1692 + 0.0308. Let t = a + g. Is t bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f. Let x(r) = 2*r. Give x(s(q)).\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43672 and 0.0994.\nAnswer: -43671.9006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2164710162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 8. Suppose 0 = 2*c + 2*h + 4, j*h + 12 + 4 = 4*c. Solve c = -2*y + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340157102?\nAnswer: 2, 170078551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 0*l - l + 6*l + 2*l. Calculate h(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**6 - 2*c**6 + 3*c**6 - 4*c**2 - c**2 wrt c.\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -14.153. Let l = 0.553 - k. Sort 0.2, l, -3, 2.\nAnswer: -3, 0.2, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Let l be 3\/2 + (-4)\/(-8). Let z be -3 - 4\/(4\/(-7)). Solve v = -l*y - 0*v, 4*y = -g*v - z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77833 + -9806879\/126. Calculate the common denominator of -41\/198 and r.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n + 454232 = 909720 - 459838 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2. Suppose 6*g - 27 - 27 = 0. Let a(x) = -8*x + g*x - 86 + 86. Give t(a(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {v: 2, g: 3, i: 2, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34015493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.111 + -0.001. Let z(r) be the second derivative of r**4\/12 + 5*r**3\/6 + r**2\/2 + r. Let x be z(-5). Is x less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1*(-6)\/(-9)*(-10)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55339, -442647, -1493903, -3541081, -6916155, -11951099, -18977887, -28328493?\n\"Answer: -55329*x**3 - 5*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 13. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-132)*6\/(-360)*-108.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10 = -5*d + 7, 4 = -2*j + 2*d. Let w be 1 + (-20)\/(-2) - j. Let o be (-20)\/3*9\/(-6). Solve -4*b = w + o, -23 = i + 4*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 - (-598 - -559).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -43. Suppose d = l - 2, -d + r = -3*l - 3*d. Is 4\/19 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7078 and 9454?\nAnswer: 16532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/9 - 347*d**3\/3 + 3116*d**2\/9 - 692*d\/3.\nAnswer: d*(d - 1038)*(d - 2)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -35736250?\nAnswer: -35736250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1204.136+-0.25\nAnswer: 1203.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a century in months?\nAnswer: 24800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -51*p**3 + 8*p**2 + 8*p + 8. Let m(y) = -34*y**3 + 5*y**2 + 5*y + 5. Let a = -511 + 519. Give a*m(v) - 5*q(v).\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49123 * 1784.\nAnswer: 87635432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-5)\/((-210)\/(-24))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.57 and 17.\nAnswer: -9.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 22\/(((-8)\/(-18))\/(88\/36)). Which is greater: 136 or t?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12429*d - 2 - 6215*d - 6214*d - 283*d**2 in the form v*d + n*d**2 + z and give n.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 5\/9, 0.4, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + 0. Let g = -2.2 - -3.2. Which is the nearest to g? (a) 0.3 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1390.2 - 1390. Let u = 59.1 + -59. What is the nearest to -5 in u, 0.5, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*n - 16 = 0, 4*b - 3*n = 8*b + 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 716665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33320220113 - 11?\nAnswer: 33320220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12503*i**2 + i**4 + i**3 + 12503*i**2 + 21*i to h*i**3 + n*i + p*i**4 + v + w*i**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, w: 3, n: 7, q: 1}. What is prob of picking 1 q, 2 n, and 1 e?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (497 + 56 - 3\/(-3))*(-1)\/2. Is a smaller than -275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -4. What is the units digit of k - (-2 + 0 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6841, 13546, 20251, 26956, 33661?\n\"Answer: 6705*i + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6678 - 6678.03. Is t greater than or equal to 534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 25, 94, 209, 376, 601, 890?\nAnswer: 1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Suppose -7*j = -17*j - 11*j. Suppose j = 4*c - 4*g - h, -5*c - g + 9 = -4*g. Calculate the remainder when 11 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 4 - 4)*(-3*w + 5*w + 1 - 9) + 2 + 3*w**2 - 2 + (-1 + 3 + 0)*(2 - w**2 - 2) + 2*w**2 - w**2 + 0*w**2 - w**2 + w**2 + 3*w**2 - w + w + 2*w**2.\nAnswer: 9*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -58.442905.\nAnswer: 292.214525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 523594846153 and -12.\nAnswer: 523594846141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 4, 45.59, 0.5, 3\/4, 0.045, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/125*-15 + (-434944)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170 - 93. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 6:53 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(490) + (sqrt(490) - (sqrt(490) + sqrt(490)*-1)))\/sqrt(5))**2.\nAnswer: -140*sqrt(2) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 115, 216, 333, 472, 639, 840, 1081?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1203*a**4*v - 10*a**4 - 11189*a**2*v + 13*v wrt a?\nAnswer: 28872*a*v - 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 12075?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (204 - -16)*(0 + (-6)\/(-15)). Let r be -2 - (-77 + (-54)\/(-6)). What is the highest common divisor of i and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 6. Solve -v = -0*v - j*m - 8, -4*v = 4*m - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**3 - w**2 + w. Let n be o(1). Let v be 55\/15 + (-2)\/3. Let k(x) = -3 - x**2 - 6*x - 4 + v. Calculate k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -89. Which is the smallest value? (a) -21 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -507 + 1459. Does 68 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16330 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -30992\nAnswer: -309.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 12*x**2 - x - 8. Let d be b(-12). Let p(s) = -d*s + 0*s - 4*s + 4*s. Let i(w) = -w**2. Give p(i(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 + 289.00000148. Round n to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35*-3.256356\nAnswer: -113.97246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 17, w: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 53 = -62. List the prime factors of 67 + (c + 5 - 2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 737 - 312. Suppose 2*k - 4*h - 39 + 231 = 0, 0 = 5*k + h + u. What are the prime factors of 61 - (k\/30 + 14\/(-105))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -970 + 986. Suppose -h*i + 17 + 47 = 0. Solve 2*k + 14 = i*c, 2 = -4*k - 3*c - 2*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2931 by -3.\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160 is divided by 471.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7814 divided by 2\nAnswer: -3907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - (-472)\/(-24). List the prime factors of (9\/12 - 1) + (-965)\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 6. Let g(n) = n - 8759. What is t(g(o))?\nAnswer: 8*o - 70078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 5. Suppose 0 = -4*c - 20 + 36. Let o(j) = -3*j + 6. What is c*o(s) - 5*d(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*l*t*w**2 + 2330*c*l*w**2 + 2*c*t*w - 482*c*w**2 - 5*w**2 wrt l.\nAnswer: -2*c*t*w**2 + 2330*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -13*n**4\/2 + n**2 - 3. Find the second derivative of o(g) wrt g.\nAnswer: -156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**3 - d**3 + 2*d**3)*(d + 6*d - 108 + 116) to the form q*d**3 + r*d + s*d**4 + c*d**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 8, o: 8}. What is prob of picking 1 a and 2 q?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15\/103 - 6643\/2472. What is the common denominator of (-35)\/(-64)*2 + 1 and v?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 10*s = 120, 17*s - 150 = 4*n + 19*s for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(112) + sqrt(112) - ((sqrt(112) - (sqrt(112) + 1 - sqrt(112)))*3)**2.\nAnswer: -1021 + 68*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 553, 0.1 in ascending order.\nAnswer: 0, 0.1, 1, 553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15775\/14 - 1128. What is the common denominator of (21*11\/(-1925))\/((-12)\/1090) and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 3*s**4\/2 - 5*s**2 - 195*s + 63. What is the derivative of w(n) wrt n?\nAnswer: 18*n**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 4*w**2 + w - 3. Let l be a(-3). Solve l*b + 2*b - 3*q = 31, -30 = -4*b + 5*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -0.2, 17\/4, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + 14 + -8 - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/5 + 85784*r**2\/5 - 257316*r\/5.\nAnswer: -4*r*(r - 21443)*(r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(4 - 4 - s**3) - 206*s**2 + 206*s**2 - 19*s**3.\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {a: 1, s: 2, o: 4, z: 1, b: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = y - 2*c + 1, -10 = -2*y - 3*c. Solve -3*j + y*j = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*f - 13. Suppose 4*a - 14 = -3*z, -f*a = 5*z - 9*a. Solve -8 = -0*o - z*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*a**2*f*n + 2923*a**2*f + a**2*n - a*f*n + 9*a*f + a*n - 14*a + 3*f*n - 47*n wrt a?\nAnswer: -88*f*n + 5846*f + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1*((sqrt(28) + (sqrt(448) - (-1 + sqrt(448))) - sqrt(28)) + sqrt(28)))*5)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 6*c - 3*c)*(-2*c + 3*c + 1 + 2*c)*(c**2 + c**2 - 3*c**2) as d + b*c + h*c**2 + o*c**4 + z*c**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 26*l**3 + l**2 + l - 2. Let f be w(1). Suppose p + o + 4*o = 16, 5*p = 5*o + 80. Let v = f - p. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/296 and -55\/592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07857 + -0.17857. What is the fifth smallest value in 0.4, 0.1, 16, j, 3\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81, -162, -247, -336, -429, -526?\n\"Answer: -2*a**2 - 75*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1595940 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1039590.3?\nAnswer: -1039590.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x - 5*k - 150 = -15, 18 = -2*x - 4*k - 0*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3297 - 3296.9996117. What is r rounded to 5 decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/361, -0.1, -3, -25, 1\/14, -1\/6, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(4080\/34))\/((-9)\/(-297))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13625, -13609, -13583, -13547?\n\"Answer: 5*b**2 + b - 13631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(1080)\/sqrt(6) + sqrt(5))**2*3 - -4*(sqrt(5) + 1)*-5.\nAnswer: -20*sqrt(5) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*875.556.\nAnswer: -3502.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 267829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51156172185.7799968 - 51156335488. Let m = k + 163302. Let o = m + 0.22. Round o to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/8 of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 15. Suppose -s = -5*d + 4, s + 3*d - 44 = -s. Let f = s + t. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-16)\/(-20)))\/((-2)\/(-8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 15. Let i be q(25). Suppose 0 = 2*j + 52 - 632. Suppose 2*p + 29 - 204 = -x, 0 = 3*p - 4*x - j. Calculate the greatest common divisor of p and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 4*l**3\/3 + 91. Let r(f) = 3*f + 3. Let s(c) = -c**2 + 8*c + 8. Let j(a) = -8*r(a) + 3*s(a). Give 6*j(d) + 4*q(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11285 < 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 95064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 11719763?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2*14\/4*12\/(-42)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 5, c: 3, l: 7, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 + 2 + 3*k**3 - 15*k**3 + 4*k**4 + 5*k + 0*k**3 + 3*k**3 to s + i*k**4 + u*k**3 + o*k + p*k**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-16) - (4 + 0)) + 30\/6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-457)\/(-22850))\/(3\/(-6)))\/(10\/4).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.5214157 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354a (base 11) to base 14.\nAnswer: -19a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 11*w - 26. Let r(z) = z**2 - 4*z + 4. What is r(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*a**3*u**3 - 164*a**3*u - 4*a**3 + 184949*a**2*u + 6*a*u**3 wrt a.\nAnswer: 834*u**3 - 984*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, 0.1063, -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -4, -7, -189 in increasing order.\nAnswer: -189, -7, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 1:36 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:49 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1015 + 5?\nAnswer: 101a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -71347, -71346, -71345?\n\"Answer: o - 71348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3100.3277 to zero dps.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 126. Calculate the remainder when a is divided by (-182)\/(-6)*1668\/3892.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**3 - 2*z**3 - 8*z**3 - 15*z**3 - 7*z**3 + 49*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 3*x + 20. Suppose 252 = 4*c - 47*c + 37. Give w(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*j + 40 + 66 = -93 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -34216*-189\nAnswer: 6466824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 - 5. Let n(l) = l**2 - 10*l - 5. Let k be (-21)\/(-14)*(-4)\/(-6). Let v be 8 + (k*-9)\/(-3). Let u be n(v). Give p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 35 - (-78 + 196 + -96)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1838 - 1135. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010011100000100001 - -1?\nAnswer: -10000010011100000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 9:53 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292*c - 14 = 4*x - 1294*c, 5*c - 14 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180849193387.9 minus -102?\nAnswer: 180849193489.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 5*f**7\/42 + f**4\/6 - 20*f**2. Find the second derivative of i(x) wrt x.\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -0.01, 0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 170*h**2 + 85*h - 35. Let z(c) = -10*c**2 - 5*c + 2. Let u(i) = 2*b(i) + 35*z(i). Factor u(p).\nAnswer: -5*p*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 528011256 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 30954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -633, -631?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 3*n + 3, -5*n + 15 = -h. Suppose n*u - 38 = -5*p, -3*u + 3*p - 5*p + 44 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfl when three letters picked without replacement from {g: 1, l: 1, y: 1, f: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -58, -88, -138, -214, -322, -468, -658?\n\"Answer: -c**3 - c**2 - 6*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17253 or -103517\/6?\nAnswer: -103517\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61197278?\nAnswer: 2, 59, 518621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (105\/15)\/(2\/6). Suppose 5*o = 41 - r. Solve 3*t + 4*d + 12 = -d, -t = d + o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 3. Let o be (6\/(-5))\/(6\/(-15)). Let g(d) = d + 2. Let q(w) = o*n(w) - 2*g(w). Determine q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6471 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3, -1\/5, 2.86 in increasing order.\nAnswer: -1\/3, -1\/5, 2.86, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (84 - 85)*(-1 + -1). Suppose -x - 2*f - 5 = -6*x, 3*f = 0. Solve x = -i - l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9806 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*f*r + 27473*f + 5092751*r + 2319 wrt r.\nAnswer: 46*f + 5092751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41987565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/9 - 26308*m\/9 + 86513858\/9 = 0. What is m?\nAnswer: 6577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -i + 8, 5*i + 4 = h + 23 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*l + 10, 1 = -h + 3*l + 3. Suppose 208 = h*t + 2*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, 1 f, and 1 h when four letters picked without replacement from {o: 4, m: 4, f: 1, b: 5, h: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 57 + 14)*(7 - 6 + 3)*(14*p - 14*p - 4*p**4).\nAnswer: -1152*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 8. Let a(j) = -7*j + 17. Let q(h) = -3*a(h) - 5*p(h). Let w = 1 + -1. Give q(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -87b - 2?\nAnswer: -87d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6879, -27686, -62357, -110892, -173291?\n\"Answer: -6932*z**2 - 11*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bb (base 15) to base 13.\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Let p be f\/(-2)*1 + (-21)\/(-9). Let h = 22\/21 - p. Which is smaller: h or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 317223894*g**3*i**3 - 963243204*g**3 wrt i?\nAnswer: 951671682*g**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)*b\/(b\/b**(2\/19)*b*b*b)*b)\/(((b**(3\/7)\/b)\/b*b)\/(b*b**(-3\/5)\/b)) assuming b is positive.\nAnswer: b**(-1146\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10362 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyuuyyfyyii. What is prob of picking 1 u and 2 y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 10116042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 94230805 divided by 1249?\nAnswer: 75445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 2*i**3 + 2*i**2 + 0*i)*(-2 + 3 - 3) + 194*i**3 + 125*i**3 - 190*i**3 to the form x*i**2 + z*i + s + y*i**3 and give y.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-48)\/(-133632)*638?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 724.91 + 1.09. Let l = -725.999999223 + v. What is l rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -1\/8*x**2 + 1\/12*x**3 + 1\/16*x**4 + 0*x - 1\/20*x**5 + 5. Factor k(j).\nAnswer: -j*(j - 1)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 2, w: 4, x: 1, u: 1, s: 2}. What is prob of picking 1 b and 1 g?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*j + 3 = 5*v, -13*j = 3*v - 39 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/120 + 10547\/(-7208)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.78 - 0.12. Let a = -180 - -181. Let u = z + a. Which is bigger: u or -14?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -100?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*w**3 - 8*w**3 + 4*w + 10*w**3 + 2*w**2 - 5*w - 46*w**3 as j*w**2 + p + s*w + t*w**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45\/8 (b) -3\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24757 - 465?\nAnswer: 24272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l + 18 - 11 - l + 23. Let m be a(-6). Let r be 72\/(-20)*-5*(-3)\/m. Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 2*z - 2*z)*(-2 + 0 + 6)*(-629*z - z**2 - 215*z - 155*z) to q*z**3 + j + r*z**2 + x*z and give r.\nAnswer: -11988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 111582*w - 1037545227.\nAnswer: -3*(w - 18597)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3580 - -229095\/64. What is the common denominator of 51\/28 and p?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*l = -13 + 16, 0 = -2*g + l - 5. Let m(i) = -286*i - 21. What is the hundreds digit of m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/14))**(-24) assuming k is positive.\nAnswer: k**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 49\/(-273) - (2 - 14\/6). What is the nearest to 2\/19 in l, 0.1, 4\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*v = -29, 30 = -439*p + 441*p + 3*v. Solve -28 = a - 4*b - p, 4*b - 31 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 15?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16342353 divided by 3\nAnswer: 5447451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-64)*-6*4\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 57.7. Sort -0.3, -1\/3, w, 2 in decreasing order.\nAnswer: 2, w, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 times 35874?\nAnswer: 86097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3654?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129 and 430.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 1\/2, 4, -18, 3\/2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28782*u - 57568*u + 28782*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.79 - 29.790001035. What is z rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 65, 3, 216, 29.\nAnswer: 2, 3, 4, 29, 65, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1607 = 693. Suppose y*h - 576*h = -184. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 2:02 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 - 126. Suppose i*f - 152 = -2*f. Let s = f - 52. Which is smaller: -13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2 - -6) + 11 + -27 + -13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1230\/(-1435))\/(2\/14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vupap. Give prob of sequence av.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*18\/12 + -232. Let d = w + 222. Let y(h) = h - 1. Let a(i) = -7*i + 8. Let q(s) = a(s) + 6*y(s). What is q(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from {v: 15, h: 5}.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -97 + 57 + 658 - 2*k**2 + 417 - 1032*k - k**2 = 0.\nAnswer: -345, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4400.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5917593 and -7\/225.\nAnswer: 443819475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 - -4.07. Let o = -3.4 + v. Let a = o + -1.66. Round a to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((14 - 25) + 21 - -3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i**2 - 46*i + 35. Let z(t) = 7*t**2 - 23*t + 18. Let q(h) = 6*u(h) - 13*z(h). Let n be q(16). Calculate the highest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 1\/4 (b) -0.5 (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5625 divided by 5?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 367, 17, -3 in descending order.\nAnswer: 367, 17, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/5)\/8*(-16)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(-5*(sqrt(27) + (sqrt(27) - sqrt(54)\/sqrt(2)) + sqrt(27) + sqrt(27)) + sqrt(216)\/sqrt(72))\/(3*sqrt(900)))**2.\nAnswer: -968\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13321023110 (base 4) to base 11.\nAnswer: -1193695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -59*o**3 + 5*o + 1 - o**2 - 3*o + 55*o**3. Let s be m(-1). Suppose 2*b = 136 - s. List the prime factors of b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -430*y**3 - 124*y**2 - 118*y + 6. Give v(-1).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132.2 * 1.1.\nAnswer: 145.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 26*j + 27*j + 15, -3*j = 5*y + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433458?\nAnswer: 2, 13, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-8))\/(7\/((-28)\/(-1))). Solve b*n**2 + 0 - 3\/2*n**3 + n = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 3*q**2 - 4*q. Let z = -60 + 56. Let v be w(z). Suppose 24*t - 29*t + 220 = v. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217.7 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 25 + 75. What is the remainder when 48 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:57 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58720 and 146800.\nAnswer: 293600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3477274 = 2*z + 4*j, 5*z - 8*j - 8693157 = -4*j. Suppose z = -k - 3051367. Round k to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 301241965 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2431, -4851, -7271, -9691, -12111, -14531?\nAnswer: -16951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-3))\/(2\/(-6)). Let y be ((-63)\/27)\/(10\/(-3) + 3). Let f be 3\/y - (-1 + 265\/(-35)). Is f >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 21*k**2 + 5. Let o(y) = -7243*y**2. What is g(o(p))?\nAnswer: 1101682029*p**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21aa - -11c?\nAnswer: -208c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Let x(z) = z**2 - 8*z + 6. Let o be x(8). Suppose -4*q + o = -22. List the prime factors of n(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35777 - -35776. Let j = 22\/7 + -19\/7. What is the nearest to r in 0.05, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -2 - 0) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 48. Let i = 84 + -115. Let p be ((-3)\/5)\/(i\/465). What is the tens digit of u(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -34. Let o = -19 + 135\/7. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (262\/(-8))\/((-2)\/(-16)). Find the second derivative of -1 - k + 0*k - 111*k**5 - k + 14 + a*k**5 wrt k.\nAnswer: 3040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2 = -2*l + 7*z, -3*l + 3*z = 0. Solve -2*w + 17 = -3*d, l*d + 2 = 4*d + 2*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:41 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 20*v**2 - 1. Let b = -8 + 6. Let w be o(b). Let k = w - 37. What is the greatest common divisor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/11 - 280*r\/11 - 282\/11 = 0.\nAnswer: -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(3\/4))**(1\/7))**(1\/4))**32)**(-20) assuming o is positive.\nAnswer: o**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1867 - 1130 = -9*x. What are the prime factors of x?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 355 - 7*o**4 - 4*o**3 + 11*o**4 - 2*o - 181 - 176 as s*o**4 + j*o + g*o**3 + r + l*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 551.7631kg?\nAnswer: 551763100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-7)*d)\/(d*d*d**(-3)*d*d))**(-28)*(((d\/d**(5\/3))\/d)\/(d*d**(-7\/3)))**(-4\/13) assuming d is positive.\nAnswer: d**(-8732\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1327 divide 509730743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4 - 0. Suppose 5*b = 3*q + o*b - 651, -2*q = -b - 430. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10797757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 3:22 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33586.\nAnswer: 2, 7, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185333424.\nAnswer: 2, 3, 3861113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -61. Let p be (h + 15\/(-6))*(-4 + 4). Let n = 0.03 + 0.07. Put n, 3\/13, p in descending order.\nAnswer: 3\/13, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 25*b + 40 + 46 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/1 - (-6 + 5). Let z = 14 + s. Solve -h + z = -2*q - 1, 4*h - 4*q - 16 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -34*i + 31*i + d, -8*i - 54 = -3*i - 3*d for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = 0, -12*p + 3*l = -15*p + 9. Suppose -2*r - 3*i + 1079 = p, 3*r + 4*i = -0*i + 1621. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-567)*-14 + 0.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-14)\/21)\/((-3)\/(-9)))\/((-3)\/336). Calculate the highest common factor of 1708 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6341 and 744881.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3 - 6 - 7 - 11 + 22*f as c*f + w and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 80 = 20. Suppose -2*v + 23 = -2*i + 3*i, 3*i = -3*v + 60. Suppose -y - i = 5*x - 179, -x + k = y. What is the remainder when x is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-22)\/c)\/(c\/(c\/((c\/((c\/((c\/(((c\/(((c\/c**(-5\/7))\/c*c*c)\/c))\/c*c)\/c*c))\/c))\/c))\/c))) assuming c is positive.\nAnswer: c**(-166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -14*s**2 - 22. Let k(d) = -6*d**3 - 3*d**2 - 2*d + 4. Let y = 96 - 98. Let f be k(y). Let c(p) = 2*p**2 + 3. Determine f*c(h) + 6*z(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68876 is divided by 11395.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482811*w + 19 = 482812*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.59739 to two decimal places.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9111221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 33.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21384561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000188633 rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 4. Suppose 8*k + 50 - 90 = 0. What is i(k)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -4*d, 9 = -d + 6*d + 3*i. Solve 3*u - j + 17 = 0, -4*u + 4 - 5 = d*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11364872 by -46.\nAnswer: -5682436\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07256399 rounded to 4 dps?\nAnswer: -0.0726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*o = -20*o + 60*o + 66*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 3:32 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a century in months?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 40066 + 48750 + 3334. What are the prime factors of g?\nAnswer: 2, 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -79.0000225. Round z to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2077 - 20753\/10. Find the common denominator of (-292)\/32 + 2 + -4 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215862658.\nAnswer: 2, 607931329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4*s + 18, 0 = -3*g - 62 + 47 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -5*c**8\/84 + 4*c**7\/15 + 4*c**6\/15 - 14*c**5\/15 - c**4\/2 + 138*c**2 - c. What is r in v(r) = 0?\nAnswer: -1, -1\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -904355.4891 + 8?\nAnswer: -904347.4891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -361773, -361767, -361769, -361785, -361821, -361883?\n\"Answer: -f**3 + 2*f**2 + 7*f - 361781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/5, -1\/4, 7\/2, 0.4, -22?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {q: 3, n: 9, b: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10623 + -7451. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 75 = 5*y. Suppose t = 5*d - 4*d - 6, -3*d + y = -4*t. Suppose -4*g = m + m + d, 4*m - 10 = 3*g. Sort 0, 2, m in decreasing order.\nAnswer: 2, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 15 = 7. Let u(j) = -245*j - 27 + 123*j + 84*j. Let w be u(-1). What is the greatest common factor of w and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 766 and 184.89881.\nAnswer: 950.89881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 943661.2 weeks?\nAnswer: 570726293760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/6035 and 37\/63971.\nAnswer: 319855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 429.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6597400127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:58 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 32 - 40 = 0. List the prime factors of 424\/h*((-2 - 7) + 3).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*r - 16*r - 5508 = 11*r + 13*r for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/(-135))\/(-26)*3\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -556355 + 3?\nAnswer: -556352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = -8*l + 1340. Calculate the greatest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6408.33 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/64 of a millimeter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -4993*w**7\/105 + 11*w**5\/20 - w**4\/24 + 61*w**3\/6 + 4*w**2 + w + 9. Find the third derivative of m(s) wrt s.\nAnswer: -239664*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -6024?\nAnswer: -6028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**3 - 3*y**3 + 26*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 3*c**4\/2 + c**3 - 12*c**2 - 12*c - 13. Factor s(p).\nAnswer: 3*(p - 2)*(p + 2)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-252*g + 5*g**3 + 252*g)*(3*g - g - g)*(-3 + 1 + 1) in the form u*g + x*g**2 + c + h*g**3 + a*g**4 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 821846160 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3361430 + 3361430 - 770*m**2.\nAnswer: -770*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 909081.2 centuries in decades?\nAnswer: 9090812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -752, -6094, -20586, -48800, -95308?\n\"Answer: -762*h**3 - 3*h**2 + h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28195, -57829, -87463?\n\"Answer: -29634*r + 1439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 14*u**2 + 11*u - 29. Let o(p) be the first derivative of -5*p**3\/3 - 2*p**2 + 10*p + 131. Calculate 6*m(i) + 17*o(i).\nAnswer: -i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/40 + (-26)\/(-140). Solve -4\/7*m**2 + 2\/7 + o*m = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -s - 3*o + 2, -s = 3*o + 3. Let k = 4 + s. Let t = 7108 - 7107.95. Are k and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*i - 84*i + 122*i in the form x + j*i and give j.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-197)\/168 - ((-90)\/(-48))\/5 and (-65)\/660 + (-2)\/(-11)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -204 + 203?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c + 23*c + 17*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*m + 289*m = -o + 77, -5*o + 4*m = 95 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**5\/70 - 4*u**4\/21 - u**3\/3 + 8422*u. Let b(n) = 0. What is n?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 19822*n - 3904934. What is x(197)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1. Let k be d(-14). Solve -j = 3*y + 18, 0 = -4*y - k - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 207. What is w(-12)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 13*g**2 - 13*g - 21. Let y be c(-12). Let n(o) be the first derivative of -o**3\/3 - 7*o**2\/2 + 18*o + 59. What is n(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/10 and -59\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11*w**2 - 30. Let l(g) = 7*g**2 + 20. Let b(f) = 3*l(f) + 2*t(f). Let s(a) = a + 69. Determine b(s(j)).\nAnswer: -j**2 - 138*j - 4761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a3c37 - 0?\nAnswer: a3c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 21881.76 to the nearest one hundred.\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 17.2073\nAnswer: 5.16219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1134)\/294 + (-1)\/7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 242 = -144 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 1\/5, -7\/157, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177133333 to the nearest integer?\nAnswer: 13309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -13 + (-99)\/(-11). Let t(w) = -172*w**3 - 6. Is t(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66905644 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20887465, 20887474, 20887497, 20887540, 20887609?\n\"Answer: m**3 + m**2 - m + 20887464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 2*s - 4, -3*q - 4*s - 49 + 27 = -24 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*u**3 + u**4 + 4*u**3 + 2*u**2 + u**4 + (u + 3*u - 2*u)*(-3*u**3 + u**3 + 0*u**3).\nAnswer: -2*u**4 - 8*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 213*s**2 + 843*s - 1462. Determine t(209).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -247*(6 - -2)\/8. Let m = -206 - v. Find the common denominator of m and 67\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 5*q + 6. Let c = -1 + 7. Let k be m(c). What is the third derivative of 2*j**6 + 0*j**2 - j**2 + k*j**6 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.5. Let b = i + 3.9. Let k = b + -4. Put k, 4, -0.2 in increasing order.\nAnswer: -0.2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10349*j**3 + 168895*j**3 + 24*j**2 - 24*j**2.\nAnswer: 158546*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 84*b + 5. Give n(-1).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*2\/(-8))\/2. Let v be (-1 - 3)*60\/(-16). Suppose i = 2*a - a - v. Solve -f + 3*q = q - a, 5*f + 3*q = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6326 = -5*y, 57*y - 53*y = 3*s + 5065. What are the prime factors of y?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11610060 - -2?\nAnswer: -11610055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 304\/30 - ((-64)\/(-30) - 2). Suppose 3*c - p + 0*p = o, p - 2 = 0. Solve -c*u + 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764427?\nAnswer: 3, 19, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 2 - 2 - 24 + 8 to r*l + j and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 4, u: 1}. What is prob of sequence eku?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5 (c) 0.05 (d) -285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000714838 rounded to 6 dps?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 8. Let f be i(4). Let t be -1 + 0 + 5 + 0. Solve -4 = b + 3*l, -t*l - f = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-5 + 5) - 5) + -1 - 17\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3314764, 6629532, 9944300, 13259068, 16573836?\nAnswer: 19888604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f**2 + 9*f + 17. Let b(q) = -3*q**2 + q - 1. Let r(x) = 6*x**2 - x + 3. Let w(u) = -5*b(u) - 3*r(u). Give 2*s(v) + 9*w(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 16) to base 2.\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**26*(c\/c**(-2\/5))\/c*c**1*((c**(-1\/3))**6)**(-1\/30) assuming c is positive.\nAnswer: c**(802\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9128 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535651 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 147690466831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.38, 2, -47.086?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 41224.9 years in months?\nAnswer: 494698.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h + 1007 - 2021 + 1009 in the form l*h + b and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 3, 3*t = -x + 10. Suppose -4*i = -t - 25. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 18. Suppose 5*u - 6 = 4. Solve 4*w + u*l = -2, -s*w - 5*l + 9 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7333140.\nAnswer: 2, 3, 5, 122219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1277*z**2 + 3*z - 14. Let f(u) = -3830*u**2 - 8*u + 39. Give -4*f(k) - 11*g(k).\nAnswer: 1273*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - (6 + -7 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*d - 182, 9 = -4*d + 2*p + 255. Calculate the greatest common divisor of 31 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 26959.89 millilitres?\nAnswer: 26.95989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49026 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(418\/4 - -3). Let b = -52 - x. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -5\/10001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Suppose 71 = 2*p + 17. Let o(n) = 30 + p - 52*n**2 + 29 - 86. Determine o(b(a)).\nAnswer: -208*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**3 - g**2 - 19*g**3 + 12*g**3.\nAnswer: -g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-26 + 55)) + (1 - -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**3 - o**2 + 5*o - 3. Let z(s) = 10*s + 6. Let v be z(-1). Let b(j) = 5*j**3 - j**2 + 4*j - 2. Calculate v*m(u) + 5*b(u).\nAnswer: u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -607 - -603. Put 4, j, 6 in descending order.\nAnswer: 6, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10780)\/(-1176)*(-1)\/25*-15\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g - 10*g = 912. Is 2 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-5\/4)\/v)\/v*v*v\/(v*v**8))**(-7))**(-46) assuming v is positive.\nAnswer: v**(-6601\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32034 is divided by 1524?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 3*u**2 + 3. Let o(f) be the first derivative of f**4 - 8*f**3\/3 + 8*f + 27. What is 3*o(c) - 8*z(c)?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 2*(0 + 1). Let s = 16 - 24. Let o be s\/(-36)*(-3)\/(-2). Which is bigger: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - q + 1. Let m(t) = 158*t**2 - 2*t + 2. Calculate 2*j(h) - m(h).\nAnswer: -156*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 258 + 282 + 509)*(3*t**4 - t**4 - 8*t**4) + (-4*t + 4*t - t**3)*(-t + t + 2*t).\nAnswer: -2726*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*t - 3. Let v = 2 + t. Suppose 0 = -5*p + v. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1292\/7 + 185. Suppose -10*g + 15*g - 5 = 0. Suppose 5*i + g + 4 = 0. Does i = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20))**2 + sqrt(5))*-1 + 5 + sqrt(5) + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/34604190 and 179\/41220?\nAnswer: 69208380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8864*q - 1645. Is a(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 313, 132, -49, -230?\n\"Answer: -181*d + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 - -0.06. Suppose -s + 3*v - 3 = 0, -s = -4*s - 4*v + 4. Let u be -1*(s + (-4)\/(-18)). What is the third biggest value in u, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.79405 kilograms in tonnes?\nAnswer: 0.01179405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89622, -85005, -80400, -75813, -71250, -66717, -62220, -57765?\n\"Answer: -n**3 + 4624*n - 94245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/12 and 2 - 10\/(-16)*1629\/(-540).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7198.241? (a) -0.8 (b) -0.08 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1896923 + 1?\nAnswer: -1896922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -31. Suppose 2*m + l = 7 + 42, -87 = -y*m + 3*l. Suppose -m*a + 30*a - 168 = 0. Calculate the greatest common divisor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 2*c + 24 + 22. Let f be y(0). Let d = -24 + f. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7930 is divided by 3043.\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65247 and 294?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 5:41 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128837094 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-8*r - 6 + 6)*(-2 + 1 - 1)*(98 + 39 - 30 + (-5 + 4 - 1)*(-2 - 3 + 6)) to q*r + l and give q.\nAnswer: 1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297660 is divided by 453?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4) + -1 + (-2 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.048, 2, -30925\/19.\nAnswer: -30925\/19, -0.048, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 10) in base 14?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -55627 divided by -11\nAnswer: 5057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.3 + 38. Which is the second biggest value? (a) 1 (b) m (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -682. Let s = 960 + t. Is 4\/10 - s\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-4 - -5) + -3. Suppose i = -0*w + 4*w - 5*p - 17, -3*w = -p - 10. Factor -13*f**w - 29*f**2 + 15*f**3 - 2 + 7*f - f**5 + 21*f**2 + 2*f**4.\nAnswer: -(f - 1)**4*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**3\/3 - u**2\/2 + 128*u - 1. Let t(k) = 4*k. Calculate t(y(g)).\nAnswer: 8*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -1\/2*d**2 - d + 9. Calculate u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*v = 4*f - 4, -5*v + 10 = -2*f. Let p = f + 5. Factor -u**4 + 5*u**3 + 3*u**4 - 7*u**3 + 2*u**p - 2*u**2.\nAnswer: 2*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (99 - -1) + -39?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -91 - b43?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 36*z - 40 = 0. What is the third derivative of -62*k**5 - 17*k + 176*k**z - 58*k**5 + 4*k**2 - 58*k**5 - k**4 wrt k?\nAnswer: -120*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 3*n - 3*n + 2*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5486 - 8403 = -4*x, -z = -5. Suppose 0 = -5*t + 2*t + 3*d + 2610, -4*t - 5*d + x = 0. Is t a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680025546 to the power of 1\/2, to the nearest integer?\nAnswer: 26077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133803 - 69885 = -82*d. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86030567\/4 at least as big as 21507643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.5, 28, -1 in ascending order.\nAnswer: -1, -0.4, 0.5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174*c - 2 + 173*c + 5*c**2 - 3*c**2)*(-c**2 + c**2 + c**2).\nAnswer: 2*c**4 - c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 56*i**2 + 52*i - 157. Let m be d(-55). Let j(c) = -5*c - 9. Let p(s) = -2*s - 3. Determine m*p(u) - 3*j(u).\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 481986294 a multiple of 1010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -17020.4 to the nearest 100.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-4)*((-1055655)\/(-10))\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 494*n**2 - 498*n + 2469. Determine p(493).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(-15 - -20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) 0.23 (c) -478\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 5.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 311*m**2 + 9*m - 7. Let l be h(-7). Is 33 a factor of 4\/18 - 2\/((-126)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3944, 6474, 8980, 11462?\nAnswer: 13920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149240 - -319240. What is v rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/5 + 30*r**4 + 3248*r**3\/5 + 15096*r**2\/5 - 18496*r\/5 = 0.\nAnswer: -34, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4212005*k**3 + 25960*k**2 + 35*k - 5. Let n(s) = 2106003*s**3 + 12980*s**2 + 18*s - 2. Let g(j) = -5*n(j) + 2*z(j). Factor g(v).\nAnswer: -5*v*(649*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 10. Let n = -37 + 53. Let l be z(n). Suppose 0*p = -5*p - l. What is p rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -19. Suppose q*t + 3*t - 3*r - 15 = 0, 4*r = 2*t - 2. Calculate the least common multiple of t and 39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16234709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1480*l - 1600 - 1604 + 4806 - 1602.\nAnswer: 1480*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {r: 5, d: 1, j: 3, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*p - p**3 + 5*p**3 - 215*p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -98*j + 16. Let d be m(-4). Suppose l + l = d. Suppose -q - l = -3*w, 6*w = 3*w - 3*q + 216. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -12) + 52 + 10 + -20\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 3*d**2 - 9\/5*d**5 + 5\/2*d**6 + 0*d + 5 + 3*d**3 - 21\/4*d**4. Solve z(g) = 0 for g.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150792?\nAnswer: 2, 3, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 24*d - 34. Let r be o(2). Calculate the greatest common divisor of r and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 0 - (-68 + 52) - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*p - 40, -2*i + 1 = 5*p + 21. Let h = i + 19. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 + 3520*l**3 - 10567*l**2 + 7046*l.\nAnswer: l*(l - 2)*(l - 1)*(l + 3523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -417 (b) 1\/3 (c) 19 (d) 4 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010000 + 10?\nAnswer: -11000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 8*t + 9. Let l be n(8). Suppose f - l = -2*f. What is the second derivative of -x**f + 4*x**3 + 0*x - 5*x + x wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*q**2 + 15197*q**3 + 42*q**2.\nAnswer: 15197*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 225 + (-1)\/(3\/(-18)*2). Let z = d - 216. Solve 0*h - 3*h - x = z, -2*h = -2*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.5, 13, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -521, -5\/7, -6?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h\/(h**(-1\/3)*h)*h))\/h*h**(1\/3))\/(h**(2\/7)*h*h)**20*((h\/((h\/h**(1\/3))\/h))**(16\/7))**50 assuming h is positive.\nAnswer: h**(317\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/22400 and 117\/52640?\nAnswer: 1052800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21101021000 - 12?\nAnswer: -21101021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from ktxttytx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.21057943 - 46.25058. Let t = m - -0.04. Round t to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -233*i**4 + 128*i**2 + 4*i?\nAnswer: -5592*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Let q(j) = -4 + 16*j + 2 - 23*j. Let g(c) = c + 1. Let w(t) = a*q(t) + 5*g(t). What is the derivative of w(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -393, 313 in descending order.\nAnswer: 313, 16, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 1721 = 4*o + 3*r, 2*r - 1718 = -4*o. List the prime factors of o.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*c + 2*c**4 + 2*c**3 - 6*c**3 - 1 + 0*c**3 + c**3 - 2*c**2 + 16*c**2 as o*c**4 + k*c**3 + u*c + f + i*c**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -6 - (6 - 1). Let l be 4\/m*6\/6. Which is the second smallest value? (a) -4\/5 (b) 7\/3 (c) l (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10*(-96)\/40)\/((-6)\/4). Let x be (-2)\/(-2) + (-10 - 3 - y). Solve -x*a - 18 = -2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 55890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 102592*u - 205207*u + 102747*u.\nAnswer: 132*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.1, -1\/2082?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/21*896\/256?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -57, -3, -181, 3.\nAnswer: -181, -57, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1455440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2 - 10*a + 7. Let q be ((-14)\/(-4))\/(2\/4). What are the prime factors of j(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 1:19 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**2. Let o(a) = 0*a + 4*a - 5*a. Let u(x) = 4*x. Let j(m) = -14*o(m) - 3*u(m). Give p(j(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5393494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -5, -319 in increasing order.\nAnswer: -319, -89, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144 - 133) + (-1 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/12, 0?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 10*f + 3*f + 4*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*v - 346*v + 86*v as h*v + f and give h.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/11 (b) -43 (c) -2\/3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339175331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(385)\/(-1*sqrt(7))*-5)\/((1*sqrt(20)*-2)\/(5*sqrt(16))))**2.\nAnswer: 27500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {n: 1, u: 1, i: 2, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 8*y**2 + 5*y - 21. Let q be i(-7). Let j(c) = c**3 + 9*c**2 + 12*c + 6. Does 12 divide j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 2:05 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let r be 8\/20*(5 - 0). Solve m*v = r*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d*n**3 - d*n**2 + 104*d*n + 8*n**5 - n**2 wrt n?\nAnswer: -54*d + 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -849?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2 - 3*v + 4*v)*(v - 3 + 3) + 1504*v**2 + 1464*v**2 - 2008*v**2.\nAnswer: 958*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i**2 - 5*i**2 + 12*i**2 in the form x*i**2 + v + f*i and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Let r(a) = a**2 + 18. Let b be r(x). Suppose 5*l = -3*s + 3*l + 46, 3*l = -12. Calculate the highest common divisor of s and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 29*s + 5. Let h(l) = 30*l + 4. Let k(n) = -4*h(n) + 3*t(n). What is the remainder when k(-2) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*y + 1 + 8, 9 = 2*y - 3*b. Suppose -6*o + o + 55 = y. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 21, -8, -57, -132, -239, -384?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/65? (a) 1 (b) 3\/7 (c) -1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g - 11*g + 4*g)*(-2 + 2 - 2) + (-57 + 12 - 8)*(0*g + 0*g + g + (-2*g + 2*g - g)*(-2 - 4 + 4)).\nAnswer: -125*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19359 and -0.54.\nAnswer: -19359.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3237 - 8443 - 577*j**2 + 2*j**4 + 5320*j**2 wrt j?\nAnswer: 8*j**3 + 9486*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5706943.\nAnswer: 11, 518813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100\/3 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbbw when four letters picked without replacement from {w: 7, b: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/32 or -2\/9?\nAnswer: 19\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -20*(12\/8 - 2). Suppose -h*u + 8*u = 12. Let n(m) = 4*m + m**3 - 4 + 2 - 2 + 7*m**2. Determine n(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8. Let u = 6.8 - 1.8. Put 0.2, r, 3, u in descending order.\nAnswer: u, 3, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159 - -3082044?\nAnswer: 3081885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j + 8. Let u be b(-8). Suppose 0 = -6*i + 272 - u. Calculate the remainder when i is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336774 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 161692300 to the nearest one million.\nAnswer: 162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 1)\/((-9)\/(-48)). Let a(i) = -i**3 + 16*i**2 - 26*i - 8. Let r be a(14). What is the tens digit of (-30)\/((r\/s)\/5*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 14, 713, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -44 - (7 + -5 + 5 - (-2 + 4))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2. Let c(h) = 9792*h**2. Determine c(i(y)).\nAnswer: 39168*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j + 3*z + 64, 8*j - 4*z - 40 = 6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -49*a**6\/60 + 49*a**3\/6 - 102*a**2. Differentiate i(f) wrt f.\nAnswer: -294*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342754 divided by -1?\nAnswer: 342754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (830\/6)\/((-1)\/(-3)).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*f**2 + 7*f**2 - 18*f**2 + (2 - f - 2)*(f + 4*f - 3*f) - 40*f**2 + 181*f**2 - 66*f**2 to the form h + i*f + z*f**2 and give z.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3 + 208 + 31*n**4 - 197 + n**3 wrt n?\nAnswer: 124*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.592 - -0.0095. Round b to two dps.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -6*h - 4*x - 20, -5 = 3*h + 2*x. Let q be 2\/h*-3*1\/(-6). Which is greater: q or 3\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3113 - 0?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 27*k - 17. Calculate z(18).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 1, c: 4, l: 1}. What is prob of sequence ir?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91113260\/3 or 30371086?\nAnswer: 30371086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/650*15\/(12\/4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 11927?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 7*s**2 + 6*s - 9. Suppose -5*b = -2*p - 31, -2*b + 39 = -3*p + 3*b. Calculate the lowest common multiple of g(p) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67874868 by -471.\nAnswer: 144108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 98. Solve -5*u + u + f = -3*c, 3*c + 21 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i + 168 = -21*i - 19*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414047991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -7*g - 3. Let p(q) = 22*q**2 - 18*q**2 + 3*q - 1 - 2. Let z be p(g). What is the greatest common divisor of 84 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 1 b when three letters picked without replacement from tigbigbbbmfitgi?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/22 + 77\/3267*-3.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3325020 (base 7) in base 8?\nAnswer: 1440453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/10*(-8)\/32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071858 to five decimal places.\nAnswer: 0.00719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avvvaavfaa. Give prob of sequence fvva.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21154, -21226, -21294, -21358, -21418?\nAnswer: -21474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - j - 46, -5*k + 2*j + 214 = j. Suppose 55*o - 1040 = k*o. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-20 - -16 - 10)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5694, -10845, -16002, -21165?\nAnswer: -26334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75311586503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38836 and 319466.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + y = 6, 3*y - 22 = 4*w + w. Let f = -4 - -6. Let j = 1.051 - 0.051. Put f, w, j in descending order.\nAnswer: f, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - 4.5. Let n = -6 - r. What is the biggest value in n, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 84*b + 747*b - 68*b.\nAnswer: -b**2 + 595*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(5\/(50\/4)). Let g = -28 + 28. Let j(f) = 2 + g - 16*f + 4 + 17*f. Give j(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -183 - -235. What is the units digit of t - -93 - 1\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/3 - s**2\/2 - 9. Calculate r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0) + (-5 - 1) + 29. Let q be (-10)\/(-6) + y\/(-33). Suppose -5 = -2*w + 1. Sort q, 2, -1, w.\nAnswer: -1, q, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 8*u**2 - u + 10. Let k be q(8). Determine g so that -2*g**5 + 7*g**3 - 2 - g**3 - k*g**3 - 2*g + 4*g**2 - 2*g**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12260226851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3714252, -3714258, -3714268, -3714282, -3714300, -3714322?\n\"Answer: -2*o**2 - 3714250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*g - 36 + 7*g**3 - 117*g - 3*g**3.\nAnswer: 4*g**3 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 5. Let v = -32 - -42. Let j = w + v. What is the second smallest value in 1, -10, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6521927, -0.3, -1\/4.\nAnswer: -0.3, -1\/4, 3, 6521927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -44728645 to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j**2 - 13*j. Let g be q(-2). Let y be (-3 + -1 - g)*(-252)\/(-8). Round y to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*m**2 - 15 - 31 - 4*m - 47.\nAnswer: 32*m**2 - 4*m - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**3\/5 + 56*h**2\/5 + 96*h\/5 = 0.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/12 + 5*y**3\/6 + y**2 - 12*y - 40. Calculate s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 11*u + 5. Suppose 2*r - 154 = -12*r. Calculate o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**3 - 2*t**4 - 10*t**3 - 42*t**2)*(-5 + 4 + 10) + 2 - 2*t**4 + 6*t**4 - 2*t**4.\nAnswer: -16*t**4 - 378*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -23174*d**2\/15 - 301264*d\/3 - 130\/3 = 0. Calculate d.\nAnswer: -65, -5\/11587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112807 and -0.1.\nAnswer: -11280.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.056? (a) -1\/43 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*r - 88*r + 236 + 208. Solve -r + 51 = 24*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, f: 4, i: 2}. What is prob of sequence feii?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 285839 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = 25. Suppose -d*n + 77 = f, -3*f + n = -2*n - 213. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -8*g**5\/5 + 414*g**4\/5 - 1064*g**3\/5 - 708*g**2\/5 + 1072*g\/5 + 294\/5 = 0.\nAnswer: -1, -1\/4, 1, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 2)*(-19*q + 173*q - 25*q) + (-2 + 0 + 3)*(-1 + 6*q + 1) to w*q + g and give w.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2474035 is divided by 309239.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-16)*4)\/1. Solve -f - m = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 30 = 2. Suppose l*x = -13 + 61. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 27*u - 125. Calculate r(15).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 11 = -6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/3)*w*w*w*w*w*w**(-2\/27)*w*w*w*(w*w*w*(w\/w**10)\/w*w)\/w*w*w\/(w**(-4\/11)*w) assuming w is positive.\nAnswer: w**(1076\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-12))\/((-3)\/8). Let l(f) = 19*f**2 + 10*f**2 - f**2 - f**z. Let t(b) = -3*b. Give l(t(u)).\nAnswer: 243*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - g + 7691 = 0, 2*z = z + 2*g + 7691. List the prime factors of z.\nAnswer: 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34536 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9)\/(v**(2\/15)*v)*(v\/(v*v**(-6))*v)**(-42) assuming v is positive.\nAnswer: v**(-4562\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 13*z + 2 = -11, -122 = -6*y + 8*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27991, -27863, -27649, -27349, -26963, -26491?\n\"Answer: 43*h**2 - h - 28033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192420663 and 1114?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/15400 and -69\/101750?\nAnswer: 2849000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 406.5903 * -22.8\nAnswer: -9270.25884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -23\/3*h**2 + 10\/3*h + 5\/3*h**3 + 0 + 2\/3*h**4 = 0.\nAnswer: -5, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443669 (base 10) in base 5?\nAnswer: 103144134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680753040 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 825123.5 litres to millilitres.\nAnswer: 825123500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -2 + -2 + -12. Let o = d - -19. Suppose -g = 4*g - 20. Solve -4*j + 2*x - g*x = -o, -2*j + x + 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36304038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 4556294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -291302584 divided by -8?\nAnswer: 36412823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, 12\/7, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80)\/sqrt(4) - 4*(sqrt(20)*2 - sqrt(20)))\/(sqrt(30)\/sqrt(3)*6*2).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1844*x**3 + 8*x**2 - 4*x - 1. What is the remainder when l(1) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.869173g?\nAnswer: 3869173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 - l**2)*(-l - 3 + 3) + (5*l - 3*l + 0*l)*(-3*l - l**2 + 3*l) + 26*l**3 + 16*l**3 - 6*l**3 - 2*l**3 + 3*l**3 - 3*l**3.\nAnswer: 33*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/3 - (-1352 - -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Let t be i(-3). Suppose 7*r - t*r = 557. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/15)\/((-6)\/30). Suppose 2*m - d - 1 = r, 4*m - 4*d = 8. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1145, -0.014, 16\/7?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 17*a + 10259. List the prime factors of o(0).\nAnswer: 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -490, -1066, -1858, -2860, -4066?\nAnswer: -5470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 10*t + 13. Let j be p(-9). Suppose j*s + x = -s - 311, -s - 5*x = 67. Does 10 divide (-6)\/4*s\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410935.\nAnswer: 5, 7, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 104, 5, -1\/8, -0.064, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204128 and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 426 - 264. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 363, 866, 1381, 1914, 2471, 3058, 3681, 4346?\n\"Answer: y**3 + 496*y - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -6, -4, 98?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 64*t**2 - 38*t + 744.\nAnswer: -2*(t - 3)*(t + 4)*(t + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 912167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z - 37*z = 20. Solve n + 1 - z = 4*w, -5*w = 4*n + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22838565007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/21816506 and 137\/14394?\nAnswer: 65449518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257 >= 2916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + g**3 - 3)*((0*g - 2*g + g)*(5*g - 2*g - g) + 14*g**2 - 70 + 139 - 71).\nAnswer: 12*g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 6. Let l(w) = 3*w + 11. Suppose 0 = 2*s + 3*b + 214, -2*b + 331 = -3*s - 4*b. Let m = s - -124. Calculate m*x(n) - 6*l(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5\/2 - 440*u**4 + 625*u**3\/2 + 1510805*u**2 + 32159550*u + 30649500 = 0. What is u?\nAnswer: -30, -1, 98, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*h**4 + 75*h**4 - 3*h**3 + 7*h + 3*h**3 wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*x**2 + 17*x**2 - 11 + 20*x**2 - 44*x**2 as n*x**2 + w + q*x and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1768 is divided by 573.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 881170137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4753605 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -22*k + 6. Let q be n(-2). Suppose 3*z + 77 - q = 0. Let c(o) = 2*o + 10. What is c(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (6 - -18) + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -172, -256, -358, -490, -664, -892?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (30\/(-45))\/(2\/(-42909))?\nAnswer: 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.609078 + 0.099137. Let v = d + 0.51. Round v to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0.014, 30359 in decreasing order.\nAnswer: 30359, 0.014, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85758?\nAnswer: 2, 3, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 - 22?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((12\/32)\/((-2)\/(-8)))\/(-3)*0. Solve -2*g + 7 = 5*s - 2, o = 3*s - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-10)*15\/(120\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 7*q - 2. Suppose m - 2*w + 6*w = 2, -m + 2*w + 8 = 0. Let h be r(m). Suppose -h*a = a - 25. What is the highest common factor of a and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134595027?\nAnswer: 3, 7, 67, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 16*x**2 + 799*x**3 + 10*x**2.\nAnswer: 799*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28426076752\/2317 - -12268484. Let v = -2\/331 + m. Let f = 2848 + -2844. Sort -0.4, v, f.\nAnswer: -0.4, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/7 + -25\/91. Which is the nearest to u? (a) 4 (b) -3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3755827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from prknnur.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.06646 + -14478983\nAnswer: -14478982.93354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 1 + (80 - 23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 21*o = 0. Let r be 4\/2*(1 - 0). Sort r, 8, o.\nAnswer: o, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*t - 355 - 338 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3\/3 - 172*j**2\/3 - 509*j\/3 - 338\/3 = 0?\nAnswer: -169, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 88*w + 285. Let i be s(-26). Solve l - 61*q = -65*q + i, 5*q = 3*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*(-6*(sqrt(5445) - (-2 + sqrt(5445))) - (sqrt(5445) + -1 - sqrt(5445))*5) + 3)**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33709 divided by 2?\nAnswer: 33709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 21*z - 10. Suppose z = -15*s + 825 + 375. Calculate the remainder when 231 is divided by s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 1 = p, m - 41*p + 36*p - 5 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490112 to the power of 1\/2, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13393613 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5.7, -9, -0.025?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 27 + 18 - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-146757)\/(-24) + 15\/120 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 282 = 3*r, 36*u = 4*r + 39*u - 391. Solve -r*k + 214 + 59 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 46 = 152. Solve -7*u = -b*u - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4008483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13295*v + 170408.\nAnswer: 13295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 291047.3 years?\nAnswer: 291.0473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29947257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -207793997*a**2*l + 99*a*l - a + 9992*l + 1 wrt a?\nAnswer: -415587994*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/4 - 10*k**3\/3 + 21*k**2\/2 + 15*k + 18. Is 6 a factor of t(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.22688610766 and 0.4.\nAnswer: 6.62688610766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w + 20. Suppose 3*s + 1 - 11 = w*n, -2*n - 18 = 5*s. Let j = 29 + s. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2\/5)*x*x))**(-2\/9)\/(x**(-2\/19)*(x\/x**(1\/6))\/x)*((x\/(x\/(x*x**1))*x)**(-25))**(-47) assuming x is positive.\nAnswer: x**(6028823\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/(-30) - 6)\/(268\/(-34170)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000126302 rounded to six decimal places?\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 7. Let g be f(-2). Let a be 4 + -1 + 17 + g - 1. Suppose 0 = o - 19 - a. What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 15 = 5*p, 3 = -p - 2*k + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((9\/6)\/((-9)\/(-24))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 597\/3 - 0\/(-6). Let w = -76 + y. Let z = 141 - w. Calculate the lowest common multiple of z and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:16 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 15*j**2 + 8*j + 4. Let d be v(8). Suppose 5*k = d*k + 2, -24414 = -4*b - k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -11*w + 744. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 13518*l - 365742. Calculate f(-27).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-22\/3)\/h*h\/(h*h**(-5)))\/(h**(-23)*h*h**(-2\/3)) assuming h is positive.\nAnswer: h**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 66*n - 59. Let u be r(-32). Let h = 0.07 - -0.13. Let c = -1.8 - -2. What is the closest to h in 2, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 7*r + 8. Let g be i(-6). Let n(y) = y**2 - 4*y + 3. Let l be n(g). Does 10 divide -7*l\/((-21)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/(-15))\/(-7)*(-9)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*o + 5, o + 25 = -34*v + 36*v. Solve v*j - 101 = -91 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**7\/84 + h**6\/30 - 3*h**5\/40 - h**4\/3 - h**3\/3 + 10*h + 6. Find n, given that u(n) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 - 97792*c**2\/5 - 2390525413*c\/5 + 14346673206\/5.\nAnswer: -(c - 6)*(c + 48899)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040512 rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 + 151*x**3\/2 - 367*x**2 + 292*x.\nAnswer: -x*(x - 146)*(x - 4)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3665 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 699.3 + -699. What is the second smallest value in 0.01, 36, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1.9. Let s = t + 0.004. What is s rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4108737183.\nAnswer: 3, 73, 191, 98227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0 + 0*k + 0*k**3 + 17\/24*k**4 + 9*k**2 + 1\/30*k**5. Let q(a) be the third derivative of a**5\/30 - a**2. Calculate c(q(i)).\nAnswer: 8*i**4 + 34*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 5089018?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**3 - 2*d**2 + d. Let u be z(1). Solve -3*j + 2*g = -9, 4*j - 19 = -u*g + 9*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - ((12 - 46) + 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p - 11 + 11. Calculate the common denominator of (p + (-414)\/320)\/((-183)\/244) and 103\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7)\/v*v\/(v\/(((v**(-3)\/v)\/v)\/v)))\/((v**3*v)\/v*v**0\/v) assuming v is positive.\nAnswer: v**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -39) + (17 - 48 - -24)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = j - 2, 0*j + 5*j = -g - 18. Differentiate 2 - 9*y + g + 3 - 3 wrt y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = -5*k. Let z be k\/7*14\/6. Let v be (284\/(-72) + (1 - -3))*-8. Which is the biggest value? (a) v (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8438683 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:26 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from jzjjjz?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 46 = 42 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 26*l - 442. Calculate w(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*o + 32, 3*v - 11 = o - 2. Let b(z) = -13 + 7 - 22 - o + 84*z. Is b(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 4. Let w be (-2)\/4 + v\/2. Suppose y - 2*y + w = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1\/d*(d\/d**6)\/d*(d*d**(-4)*d)\/(d*d**(-1\/4)*d)*(d\/d**(-1\/3)*d)**(5\/14)\/(d**0\/d)**40 assuming d is positive.\nAnswer: d**(373\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -3 - 4*v**3 - 1\/4*v**4 - 13\/2*v**2 - 2*v. List the prime factors of c(-11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + 2*sqrt(171)*-1 - sqrt(171)))*-2)\/(sqrt(900) + -1*-1*sqrt(900) + sqrt(900)).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102530 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 201110011222 (base 3) to base 16\nAnswer: 5d78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 8:42 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -188, -2, 0.1, -0.4, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 155*l**3 + 200460*l**2.\nAnswer: 5*l**2*(31*l + 40092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/18823 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13322 divided by -6661?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.41122 and -18.\nAnswer: 223.40196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 18*o**2 - 33*o - 59. What is t(17)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 507000 and 5250?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - f + 1. Let m(h) = -580*h**2 - 4 + 4*h + 557*h**2 + 0*h. Let n(r) = m(r) + 4*q(r). Let u(l) = 22*l. Calculate n(u(s)).\nAnswer: -3388*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/(-9)*210\/700. Sort -57, 8, z, 5.\nAnswer: -57, z, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -296454, -592908, -889362, -1185816?\n\"Answer: -296454*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-7)\/(-28))\/(-1)*4\/35?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21.7 at least as big as -5\/15799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385647?\nAnswer: 3, 128549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561 is divided by 89.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4216393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m. Let o(h) = 2309*h. Calculate g(o(c)).\nAnswer: -11545*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b + 4. Let y(v) = 4*v - 3. Let k(d) = -3*q(d) - 4*y(d). Let s be k(7). Is 2192\/28 + 2\/s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13805 + 0.5.\nAnswer: 13805.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05914 + 3.94086. What is the closest to 1 in q, 7, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*s - 0*s. Suppose 6*m = s*m + 122. Let b be (-1)\/4 + m*(-2)\/(-16). Calculate the greatest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 238 (b) 1\/5 (c) -162 (d) -0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 37 - 21. Calculate the remainder when 31 is divided by 171\/(-38)*w\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -52. Calculate the least common multiple of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720766237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h - 71 + 0*h + 96. Let g be b(9). Let f = 74 + -961\/13. Which is bigger: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131633910 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2. Let n(g) = 1196634*g. Calculate n(y(m)).\nAnswer: -4786536*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21\/4 of a second?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 24*t + 88. Calculate o(-16).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, -3, 14\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1612, -1605, -1598, -1591, -1584, -1577?\n\"Answer: 7*n - 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 167216*c**2 + 3*c + 7. Let w be f(4). Let b = -1563385 + w. Suppose -3142090 = 7*m - b. What is m rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2992.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40022266741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 7*a - 4. Let i be l(-5). Suppose -3*r + 35 = -4*t, 4*t + 2 - i = 0. Calculate the remainder when 98 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1156 - 1127. Calculate the remainder when 403 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232 by 116.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 979734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence impp when four letters picked without replacement from nlpimmp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*c = 99, 3*v = 4*c + 23 + 76. Solve -12*j + j = v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y + 2. Let w be l(-3). Suppose 4*c - 3*q + 1 = 0, 4*c - w = -q - 2*q. List the prime factors of c + -2 - 2*-8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t. Suppose 6*c - 24 = -t*c. Suppose 2*k = 4, -5*x + c*k + 43 = 3*k. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -737, -1492, -2247, -3002?\n\"Answer: -755*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (856\/13482)\/((-12)\/(-2394))?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*l + 1035, -684 = -5*l + 5*b + 311. Let a = l + -191. Calculate the least common multiple of a and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/6 and 91\/119424.\nAnswer: 119424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(90)\/sqrt(5))\/sqrt(6))**2 + (3*1*sqrt(3))**2)*6 - (5 + (sqrt(108) + 1 - sqrt(108)) + -3)**2) + -4.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8 + 0.2. Suppose -x - 5*f + 12 = 0, 0 = 3*x - f + 4*f - 24. Suppose -5 - x = -3*z. What is the biggest value in -5, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 3*h - 3*h - 2*h**3 + 2*h**3 + 3*h**3 + (3*h**2 - h**2 - 6*h**2)*(h + 5 - 5) to c + f*h + p*h**2 + k*h**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21923, 87445, 196645, 349523, 546079, 786313?\nAnswer: 1070225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13161 - -34575. What is the ten thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 13, 31, 45, 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvu when three letters picked without replacement from vvvvvuuuvuuuu.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1\/24 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1160360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*v + 227 = 0, -82*v + 164 = 2*p - 77*v. What is the highest common factor of 847 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/8256 and 83\/2387360.\nAnswer: 14324160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 0*k**2 + 115*k**2.\nAnswer: 114*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1984632 or 1984631?\nAnswer: 1984632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1 + 3 = z, 0 = 5*z - 3*a - 20. Suppose -p - 2 = -z*r, 12 = r + 3*r. Suppose -2*k + 82 = 3*k + 3*s, -k + s = -p. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 588*z - 121680\/7.\nAnswer: -2*(z - 2028)*(z - 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 22. Suppose 0 = 2*j + 5*v + y, -4*j + 4*v - 6 = 6. What is the units digit of j - -12 - (-2)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19\/56 + 5\/7. Which is the closest to 1\/4? (a) -1\/2 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -4, 6, 18, 32?\n\"Answer: n**2 + 5*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - -3*sqrt(65)*3)\/(4*(sqrt(125) - sqrt(5))))**2.\nAnswer: 325\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -544 divided by 4.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**2 - 1\/2*f**4 + 2\/3*f**3 - 1\/4*f**5 - 1\/30*f**6 + 0*f + 0. Suppose u(i) = 0. What is i?\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15204262793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00695 rounded to 4 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14960*z - 194476. What is d(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.64 + -0.06. Let i = p - -0.2. Let l = 412 - 416. What is the closest to 0.1 in 2\/9, l, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9639 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2148547102.\nAnswer: 2, 13, 82636427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 + 4*p**2 - 3*p**2. Let o(f) be the second derivative of 0 + 0*f**3 + 2*f + 0*f**2 - 1\/12*f**4. Calculate g(o(u)).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14067 and 1086285?\nAnswer: 9776565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7789 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9292 + -6108. What are the prime factors of m?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206942 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/9 - 134*d**2\/9 + 388*d\/9 - 256\/9 = 0.\nAnswer: 1, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890675118 to the power of 1\/2, to the nearest integer?\nAnswer: 53765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -3*n + 2. Let t(w) = w + 12. What is -9*j(a) - 2*t(a)?\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + m = 5*m - 8, 5*i - 2 = -m. Let j be (-8)\/(-6)*(i + 15). Calculate the highest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 869, 642, 97, -922, -2571, -5006, -8383, -12858?\n\"Answer: -26*u**3 - 3*u**2 - 36*u + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.63 in 0, -676, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30447 + 30446.9. Put 12, 246, y in descending order.\nAnswer: 246, 12, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from bxffxxfxxb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 + 485*x**2 - 2 + 987*x**2 - 165*x**2 to n + r*x**2 + c*x and give r.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, i: 1}. What is prob of sequence hi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112998 and 11544?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*6.15\nAnswer: 1.0455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 38 - 106. Let z = -24 - c. Suppose 2*t = z + 2. Solve 4*j - t - 2 = 5*d, -4*d = -j + 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.04, -1\/7, -229?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1712 + 149*l**4 - 145*l**4 + 201*l**4 with respect to l.\nAnswer: 820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 - 6)*(-3 + 7 - 2 + 3 - 1 - 1 + (-2 + 1 - 1)*(-4 + 4 - 1))*(5 + 5*p - 5).\nAnswer: -300*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48174649?\nAnswer: 3761, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -529221*h**2 - 27*h + 8509.\nAnswer: -1058442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - 83?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 244 = -229 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-2) - (79 - (0 - -3)). Let a = 89 + j. Calculate the greatest common divisor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from {s: 4, j: 6}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 308 (b) -29 (c) 4 (d) 1\/3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 10\/101, 5814?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.018 - 10.8840639.\nAnswer: -10.9020639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {a: 4, x: 6, p: 4, q: 4}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/3))\/(l\/l**(-4)))\/(l*(l*(l\/(l*l\/l**(-2\/7)*l))\/l)\/l)**18*((l**1)**(1\/14))**37 assuming l is positive.\nAnswer: l**(1643\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 1, i: 5, z: 1, r: 5, s: 6}. Give prob of sequence ib.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4360.5234 rounded to the nearest 10?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1092253762 to three dps.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + (-124)\/(-3) - ((-1372)\/(-84) - 17) is divided by 2\/1*(-18)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.8 + 7.8. Let x(s) = -s + 6. Let c be x(8). Sort 0.2, c, 7, r.\nAnswer: c, r, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l**4\/17 + 384*l**3\/17 - 1366*l**2\/17 - 336*l\/17 = 0 for l.\nAnswer: -3\/13, 0, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 18 = 0. Suppose 3*t - z*t = -18. What is the least common multiple of 1 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101221110002 (base 3) to base 2\nAnswer: 110111001110100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times -197061?\nAnswer: 47294.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1064 - -6.7936. What is the closest to 0.1 in n, 1.3, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31\/2 + 209\/14. Let k be 2 + (0 + -2)\/(-28). Let u = k + m. Which is the closest to -2? (a) u (b) 0 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*j**3 - 14593*j**2 + 3*j + 18437 wrt j?\nAnswer: 156*j - 29186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3020*h - 6090*h + 10 + 2733*h wrt h.\nAnswer: -337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 3:59 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 478348 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16854526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 31 - 6. Suppose 2 = -2*a, w - g*a - 13 = -0*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*p**3 - 11*p**2 + 11*p**2.\nAnswer: 75*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20837 and 37631.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 4*sqrt(833)*-4 + sqrt(833) + sqrt(833) + sqrt(833) + sqrt(833))**2 + (sqrt(153) + 2 - 2*(1 + sqrt(17)))**2.\nAnswer: 100810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7964434 to the power of 1\/2, to the nearest integer?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/3)\/(10\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/7 and 151\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8\/r**(-5))**(10\/9))**48 assuming r is positive.\nAnswer: r**(2080\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + u + 511 = 2*u, 0 = 2*u - 2. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(117) + -1)**2 - (sqrt(13) + (3 + sqrt(208))**2))*-3 - (3*sqrt(52)\/sqrt(2))\/(6*sqrt(14)\/sqrt(7)).\nAnswer: 1188 + 743*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(125) + (sqrt(125) - -1*sqrt(125)) - (sqrt(125) - (sqrt(125) + (sqrt(125) + -4)*-5)))*4)**2 + 3.\nAnswer: -7040*sqrt(5) + 15747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995667 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2)*(-44)\/(-363). What is the second biggest value in -0.06, y, 1\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/2)\/((750\/(-15))\/(-50))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*3\/6*1. Let m be -8*((-2)\/2)\/n. Suppose -m*y - 4*a + 132 = 0, 2*a - 81 = -2*y - 3*a. Calculate the remainder when 111 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 0.17 (c) -4 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r - 52. Let q be j(7). Which is the third smallest value? (a) -3\/2 (b) -6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/301 - -181\/6020. Let l(k) be the second derivative of 0*k**2 - 1\/2*k**4 + 39*k + 0 + s*k**5 + 7\/6*k**3. Calculate l(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*k + 16*k + 17*k + k - 2*k + 2*k + (-3 + 0 - 4)*(3 + 2*k - 3).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 12:03 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 671 + -666. Let l(s) = -s**3 + 7*s**2 - 7*s + 9. Let p be l(6). Solve p = q - 3*t - 9, h*q = 4*t + 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2203 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/8 - -8*15\/(-160). Calculate the remainder when ((-585)\/30)\/(x\/(-90)) is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90, -546, -1714, -3930, -7530, -12850, -20226?\n\"Answer: -56*h**3 - 20*h**2 - 4*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 16. Suppose q - 1 = p. Solve -7 - q = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*m + 16 = 0, -4*t = -m - 7 - 15. Let i be 2 - (0 + -2 - -4). Solve t = -i*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18436*m - 35 - 5827*m - 8422*m + 35.\nAnswer: -32685*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-646)\/(-34)*56\/16*(-8)\/14.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 17*s + 4. Let k be l(8). Let d = 23 + -22.9. What is the nearest to d in 1, k, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101.00000059 - 101. Round g to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 - 2*q**2 + q - 2. Let l(t) = -t**3 + t - 1. Let x(k) = 5*d(k) - 10*l(k). Determine r so that x(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/3 - 6*r**2 + 31*r - 54. Let g be k(-14). Solve 6*q - 3 = g*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 4)*(0 - 1 + 2)*(6*f + 3*f**3 - 6*f) + (3*f - 3 - 4*f + 2*f)*(-f - 3*f**2 + f) to i*f**2 + h + y*f**3 + u*f and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*c + 2427, 12*c - 9*c + 2*b - 3638 = 0. What is the highest common factor of 494 and c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (0 + 1)) + -11 + (-6 - -24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 51\/2*x**4 - 103\/2*x**3 - 9\/2*x**5 - 16*x + 89\/2*x**2 + 2 = 0. Calculate x.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y + 20*y - 11541*y**3 + 24*y + 11529*y**3.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*p - 203*p = -3468. Calculate the remainder when p is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 648244.\nAnswer: 71306840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.2 - -10.2. Let h = 8 - 5. Let p = 26 + -25.8. Which is the closest to s? (a) h (b) -12 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1760 and 44704?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 3*m - 10. Is d(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -0.2. Let u = -1482 + 1484. What is the second smallest value in -3\/11, l, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0111194 to five decimal places.\nAnswer: -0.01112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 12:58 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1)*18 + 3. Let i = 24 + w. Suppose -t + 0*t + 2*d + 25 = 0, -3*d - i = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-5)*325\/39. Solve 0 = c + 14 - r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1397 - -1397. Let z(m) be the third derivative of a*m**3 + 0 - 7*m**2 - 5\/12*m**4 + 0*m. Let j(r) = 3*r**2. Calculate j(z(g)).\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1172\/77 < 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -85. Which is the closest to 2? (a) 2 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 779 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 5. Let o be t(-5). Let d(m) = m**2 - 16*m + 4. Let b be d(15). Let h be (b - -1)\/(14 + -6 + -6). Sort o, -2, h in decreasing order.\nAnswer: o, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w. Suppose 4 = -5*b + 14. Let o(d) = 15 - d**b - 15. What is o(c(y))?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29819.08 + -29824. What is the nearest to z in 3, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b3951 (base 16) to base 7\nAnswer: 6152342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 84 - 54 + 34)*(s**3 - 98*s**2 + 303*s - 303*s)*(0*s + 4*s + 0*s).\nAnswer: -516*s**4 + 50568*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -86*45\/(-36)*8\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45*-6\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 563275*z**2 + 68*z + 1. Let r be n(-7). What is r rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1843 (base 13) in base 14?\nAnswer: -1456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -38. Let w(b) be the second derivative of -b**3 - 3*b**2\/2 + 2*b. Let u(a) = -1 + 5*a - 7*a + a. Determine y*w(j) + 3*u(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 11. Let g be (5\/10)\/(2\/16). Let v = l + g. Solve -v + 0 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbzbthzzhhzxhzz. What is prob of picking 1 x, 2 b, and 1 t?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 20*a + 95. Let t = a - -23. Let d(r) = 5*r**3 + 59 - t*r**3 - 66. What is d(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 567 - 152 - 48*d - 183 + 238*d wrt d?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - o + 6 = 0, 0 = 3*l - 7*l - 5*o + 8. Suppose 3 = l*g - 3. Suppose g*i + 3 = 30. Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q + 56*q + 838 = 0. Let b = q + -151. List the prime factors of b.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8 + -0.2. Let s = 0.212 - -4.788. Which is the nearest to -1? (a) p (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l. Let f(x) = -1. Let t(a) = c(a) - 6*f(a). Let d be t(6). Let r be ((-27)\/(-18))\/(d\/(-20)). Calculate the highest common divisor of r and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 3:10 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 4 - 3*c**3 + 10*c + 4*c**3 + 9*c**2 + 0. Let h be b(-8). Suppose -h*l - 1 + 21 = 0. What is the remainder when 12 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81287 (base 9) to base 10\nAnswer: 53458","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1)**(-6\/11))**(5\/7)\/((h**(-1\/3))**(-2\/15)*(h*(h\/h**(1\/4))\/h)**(3\/25)) assuming h is positive.\nAnswer: h**(-121\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1195, -2383, -3557, -4711, -5839, -6935?\nAnswer: -7993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2074, -2072, -2070, -2068, -2066?\nAnswer: -2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1, 20, 4670, -3, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 6:39 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -105, -234, -449, -750?\n\"Answer: -43*h**2 - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + u = 6*q - 9, -3 = -2*q - u. Calculate the remainder when 25 is divided by (14\/2)\/(1\/q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786649883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0*r**4 + 0 + 10*r**2 + 0*r**3 + 1\/15*r**5 + 0*r. Let c(s) be the first derivative of 3*s**2\/2 + 1. Determine x(c(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 18751*t**2. Let r(w) = 15*w. What is r(s(b))?\nAnswer: 281265*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*-1 - sqrt(77) - 2*(sqrt(77) + sqrt(77)*-2 - sqrt(77)))\/(1*1*sqrt(11) + sqrt(77)\/(sqrt(14)\/sqrt(2))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 32*v = -34532 + 34289. Suppose -2*w + 3*w - 2 = 0. Let s(y) = 5*y - 2. Let c(u) = 20*u - 9. Give v*s(f) + w*c(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m - 1 + m)*(3 - 9 - 6).\nAnswer: -24*m + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*z - c - 10 = 61*z, -2*z + 8 = 4*c - 6*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - (-9 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -3*p - 11*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 130847703, 130847694, 130847685, 130847676, 130847667, 130847658?\n\"Answer: -9*w + 130847712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 40 = -4*m + 56, -j = 8. Let l = 0.1 + 0.9. Let p = l - 1.4. Sort -2\/13, m, p.\nAnswer: p, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/10 (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7723?\nAnswer: 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3\/15 - 17*u**2\/10 + 38*u\/5 - 736. Find j such that c(j) = 0.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82372737?\nAnswer: 3, 2179, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - f - 1. Let b(z) = 18*z**2 - 10*z - 8. Calculate b(x) - 8*r(x).\nAnswer: 26*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.68 + 0.68. Let v = m + 44.11. Let q = 417 + -1253\/3. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011101101101010111 (base 2) to base 13\nAnswer: -198045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 29 - 22) + -13 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1155)\/308 + (-1)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 121 in 1\/16, 5, 4\/3, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13256f + -67?\nAnswer: 132508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i**3 - 48*i**2 + 75*i + 5. Let n(o) = -20*o**3 + 98*o**2 - 149*o - 11. Let q(u) = -11*k(u) - 5*n(u). Factor q(b).\nAnswer: b*(b - 2)*(b + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -144, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*((-76)\/(-16) + -4). Let y be (-2 - 1)*2\/w. Suppose r + 94 = g, -3*g + 3*r + y*r = -282. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-11)*11\/(330\/12).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4699 = -4*h - 4747 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2445301 is divided by 1222635?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*o = 2*x - 100*o + 1, -3*x + o = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 180 = 3*i, -2*m = 5*i - 131 - 143. Calculate the greatest common factor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 0. What is the tens digit of 0 + c\/(10\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89.7 + -94.7. Put y, -23, 0.5 in increasing order.\nAnswer: -23, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deneceepcednperpecee. Give prob of picking 3 e and 1 p.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (104 - (106 - -71)) + -25\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 71*o + 991. Determine f(-15).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, -5, -1992, 3.05, -1\/3?\nAnswer: 3.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 6*n**2 - 2*n - 8. Suppose 0 = 2*m + m - u + 19, -3*u + 3 = 0. Let d be k(m). Solve w - 2*w + d*g = 13, 12 = 4*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4 and (-2*2\/182)\/((-36)\/(-1113))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 2:10 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2066695*w**2 - 15418619 wrt w.\nAnswer: -4133390*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -296 + 671. Let x = q + -368. Solve -x*a + 10*a = -12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -10.63. Let z = -6.53 + k. Which is bigger: z or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5946\/5 - -1189. What is the nearest to -0.4 in 0, -2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*x = -6*n - 415, -3*n = -4*x + 350. Let b(f) = 5*f**3 - 55*f. Let y(q) = q. Calculate n*y(v) - 2*b(v).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 23*d**3 + 47*d**2 + d + 15. Let q(u) = -10*u**3 - 22*u**2 - u - 7. Let n(v) = -3*i(v) - 7*q(v). Let j(z) = -z**3 - z - 1. What is -4*j(b) - n(b)?\nAnswer: 3*b**3 - 13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19522 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 >= 405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 48 and 0.0494948 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-9 + 26)) + 3 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_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: Sort 2951.2, -4, -4.81.\nAnswer: -4.81, -4, 2951.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -5c1?\nAnswer: 5c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 334 (b) 13 (c) -4 (d) -1\/2 (e) -18 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.9912 plus 0.0397?\nAnswer: 604.0309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -774*d - 658*d**4 - 2*d**2 - 2 + 388*d - d**5 + 74*d**2 + 386*d wrt d?\nAnswer: -60*d**2 - 15792*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 4*g + (5 - 4 + 1)*(-2*g + g + 3*g) + 3*g + 2*g - 6*g + (-3 - 2 + 6)*(0*g + 0*g - g) as z + f*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = 2*u + 2, l - 1 = u. Solve -l*m = -7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -116\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1513 + -4?\nAnswer: -1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66 and -5.72.\nAnswer: -377.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 25389 = 9*q. Is 48 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i**(2\/13)\/i)\/i)\/i*(i**(-1)\/i)\/i)\/(i**(2\/5))**(-1\/13))\/((i**(-2\/7)*i)**49)**6 assuming i is positive.\nAnswer: i**(-13963\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 3 (c) -0.0384\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 940565, -0.1 in descending order.\nAnswer: 940565, -0.1, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) -430 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6176, 24706, 55590, 98828, 154420, 222366, 302666?\nAnswer: 395320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 6*q**2 + 434*q - 23. Calculate o(24).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215\/1271 equal to 2\/933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/60 + c**5\/15 - c**4\/24 - c**3\/6 + 46*c**2. Calculate i(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -10. What is the remainder when 1\/(-3)*(67 + -166) is divided by 9\/v*(4 + -12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -433*h**3 - 2*h**2 + 297*h wrt h.\nAnswer: -2598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**2 + 1325*g - 62930 = 0?\nAnswer: 62, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((5 + -2 + sqrt(76))**2 - ((sqrt(171) - 2*sqrt(171)) + 2)) + -5).\nAnswer: -156 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4322940 divided by 6\nAnswer: 720490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19417 (base 13) to base 14.\nAnswer: 13c22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4049423 is divided by 6017.\nAnswer: 5999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 6592640.\nAnswer: -9\/6592640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*u + 7*u - 16, 3*u - 4*b - 2 = 0. Let p be 1 + -4 - ((1 - u) + -1). Suppose 2*n - 2*i + 8 = 0, 7*n - 5*i = 4*n - 22. Solve 2*t + n = p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3524038 < 3524037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1345055\/174 - -30406\/435. Let b = 7793 - p. Find the common denominator of ((-36)\/30)\/(9\/160) + 2 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24544 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.12 + -0.22. Sort b, 1\/6, -3 in descending order.\nAnswer: 1\/6, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 - 2200*j**3 + 32*j**2 - 132140*j.\nAnswer: -12*j**2 - 13200*j + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 2*a - 1. Let h(x) be the second derivative of x**4\/3 - 5*x**3\/6 - 3*x**2\/2 - 9*x - 5. Determine 5*d(k) - 2*h(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + (-39 - 22) - (-1 - 3 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164 + -246. Let r = -68 - b. What is the highest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 76, -1.37, -2\/45, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10939.95 + 10940. Which is the second smallest value? (a) -12\/35 (b) -2\/13 (c) -1\/6 (d) -0.1 (e) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.4? (a) -5 (b) 134881 (c) 3\/2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 7*f**2 + 7 + 8*f**3 + 2*f**2 - 4. Let t(z) = -14*z**3 + 9*z**2 - 7. Let o(s) = 7*g(s) + 3*t(s). Find the third derivative of o(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1417976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + 0.0818\nAnswer: -0.5182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12272339*j**4 - 9727419*j**2.\nAnswer: 294536136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 3, g: 4, a: 1, m: 1}. What is prob of picking 1 q and 3 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*k + 224 = -190*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 106 - -33289?\nAnswer: 33395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -31*k**2 - 310*k - 132. Suppose -2*w = 4*r + 3*w + 100, 0 = 5*w. Let g(q) = 125*q**2 + 1240*q + 530. Let u(x) = r*o(x) - 6*g(x). Factor u(f).\nAnswer: 5*(f + 12)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, h: 7}. Give prob of sequence sh.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*f + 16*f + 16*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*b = -331*b + 154. Let r(a) be the second derivative of 1\/2*a**3 - 9*a + 0 + b*a**2. Find the first derivative of r(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14236457 - -30951757. What is x rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m - 5. Let f(i) = -7*i - 3. Let t(j) = 6*c(j) - 11*f(j). Let o(h) = -2*h + 2. Determine 3*o(g) - 2*t(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9333 a factor of 931872051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3865?\nAnswer: 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20996\/150 + (-3710)\/(-139125).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12*b - 7*b = -2489, 0 = -2*w - b + 1255. Calculate the remainder when w is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 l when four letters picked without replacement from lmlldllpppml?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -687?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/45207234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three quarters of a millennium?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0047 - -203.9953. Let h = -202.5 + f. What is the biggest value in 4\/7, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let f(m) = 15*m**2 + 6. Let u(r) = 2*r - 9. Let d be u(4). Let x(h) = d*f(h) + 9*v(h). Let a(p) = -p**2. Give x(a(z)).\nAnswer: -6*z**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let j(s) = 2*s. Let c(k) = 2*j(k) + 3*n(k). Let y be c(7). Differentiate -v - 1 + v + 20*v**y - 15*v**4 with respect to v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.867 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21167 divided by -2.\nAnswer: -21167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448724*w - 224400*w - 224325*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -96.8873 - -295204.42\nAnswer: 295107.5327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 + 2*j + 11. Let a(t) = -t**2 + t + 1. Let v(x) = 4*x**2 - 5*x. Let d(u) = -6*a(u) - v(u). Determine -7*d(y) - 4*o(y).\nAnswer: 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2828, -5672, -8528, -11396, -14276, -17168?\n\"Answer: -6*d**2 - 2826*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 8. Let v(f) = f + 9. Let z(p) = -6*r(p) + 5*v(p). Let m be z(-8). Solve 0 = -m*l + 14 - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*n + 0)*((-1 + 2 - 3)*(0*n**3 - 3*n**3 + 2*n**3) - 43*n**2 - 159*n**3 + 43*n**2).\nAnswer: 628*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4029757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**5 - 8*q**4 + 32*q**3 + 44*q**2 - 30*q - 36 = 0?\nAnswer: -6, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = z - 1269, 559 = 2*a - z - 74. Let r = a + -177. What is the highest common factor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5099898 - 91764823\/18. Let j = q + -1855. Calculate the common denominator of j and 95\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145 - 6*v**3 + 4*v**3 - 13*v**3 + 7*v**2 - 2*v**2 wrt v.\nAnswer: -45*v**2 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 163, 0, -4.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13466 by 106.\nAnswer: -6733\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 280585.05 months in decades?\nAnswer: 2338.20875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 329\/(-49) - 3*(-2)\/(-21). Let b be (q - -11)*3*1. What is the highest common divisor of b and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 5*a**2 - a**3 + 3*a**3 + a**3 - 2*a**3 + 1. Let t be (-10)\/(-5)*-1 - -7. What is n(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008357504 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + h**4 - h**4 + (4*h**3 + 2*h**3 - 2*h**3)*(-263*h**2 - 4*h**2 - 58*h**2) + (-2 + 2*h + 2)*(2*h**4 - 2*h + 2*h).\nAnswer: -1294*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1179 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -d15 (base 16) to base 15\nAnswer: -ed4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4\/2 - 1607*a**3 - 2520661*a**2\/2 + 49646658*a - 477219618 = 0?\nAnswer: -1626, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 + -12*(-24)\/270.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73591*i - 22519*i - 77777*i + 33392*i.\nAnswer: -140495*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -156*b**4 + 949*b**3 - 7783463 wrt b?\nAnswer: -624*b**3 + 2847*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 0*c + 140 = 0. Solve c*i = 0, 3*u + 2*i = 2*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:41 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4106 divided by -129.\nAnswer: -4106\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 - a + 18*a**2 - 45 - 2*a**3 + 41 - 17*a**2 as d*a**4 + x*a**3 + n*a**2 + c*a + j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/9)\/(q*q\/((q\/q**2)\/q)))\/(q\/(q*q**0)*q*q**(-10)\/q*q))**(1\/23) assuming q is positive.\nAnswer: q**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 42 + -50 + 100 + 0 + 3?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-58430))\/(327\/(-84) + 4). Let b = z - 637223\/140232. Calculate the common denominator of -19\/18 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26829\/46 and 584 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8409 + -9286. Which is smaller: j or -2629\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.0999255 - -19.1. What is s rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from igueset?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-440))\/((-37)\/(-444))*50\/(-18).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 2*u, -179*u + 4 = -y - 182*u - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 118. Let x be u - (4\/(-4) - 2). Let b = x - -72. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 + 13*z + 224. Give a(8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.300421 litres to millilitres.\nAnswer: 4300.421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -64046?\nAnswer: -64046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*z + 36 = 153. Suppose 5*l = -3*o + 3035, -3*l - 3039 = -z*o - 6*l. List the prime factors of o.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -26830930.\nAnswer: -134154650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78035*d**5 - 19643*d wrt d?\nAnswer: 1560700*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*n. Suppose -3*i + i - 12000000 = n. Round i to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 47 = -67. What are the prime factors of -20*(f + 2 - 4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.204 - 0.604. Let h(r) = r**3 - 5*r**2 + 3*r - 3. Let t be h(4). What is the second smallest value in n, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*m - 9*m + 213520 = 0. What are the prime factors of m?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2333*n**3*r*v - n**3*v**3 + 5110*n**3*v**2 - 2*n**2*r - 2*n*v**2 + 327899849*r*v**3 wrt v?\nAnswer: -6*n**3 + 1967399094*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 + 106. Suppose 3*u + 46 = 5*u - 2*h, -3*u = -f*h - 75. Suppose 10*c + 10 = 12*c. What is the highest common factor of u and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + sqrt(1331) + 0 + sqrt(1331))**2 + -2*(sqrt(1331) + 0).\nAnswer: -242*sqrt(11) + 5347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - (-87)\/(-9). Let t(s) = -s**3 - 10*s**2 - s - 1. Calculate the least common multiple of t(u) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(252\/15)*8\/20?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*m + 17, -2*m - 3 - 11 = -5*p. Solve -4*i + 4*d = -28, p*i + d = 7 + 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3550*p + 2. Let j(z) = -17146*z + 12. Let u(f) = 29*g(f) - 6*j(f). Let a(h) = 15*h + 3. Let o be -4 - (0\/2 + -1). Give o*u(y) - 14*a(y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*v**2 + 256794*v - 256794*v.\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2500 divided by -25.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -1000101011111000?\nAnswer: -1000101011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d + 12 + 53. Suppose -d*w - 4*z + 84 = -256, 2*z = 0. Calculate the highest common factor of w and 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 78. Calculate the remainder when 63 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 13. Let f be r(0). Suppose 3*q + 10 + 9 = -d, d - 2*q = 6. Let i = f + d. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5122 is divided by 349?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 61. Let y(z) = -z**2 - z + 41. What is y(k)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -15 + 3. Solve g*h = h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 5\/37, 3 in descending order.\nAnswer: 3, 5\/37, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - -201?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/5 - 4*j**3\/5 + 8*j**2\/5 - 147. Factor k(c).\nAnswer: -4*c*(c - 1)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgj when three letters picked without replacement from {j: 7, m: 2, p: 3, x: 6, g: 1}?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 18*w + 18*w - 627 = 0 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48249055022.500000587 + 48249055074. Let f = -51.5 + m. What is f rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 14. Let p(i) = i**2 - 3*i - 6. Let a be p(5). Let v = a + y. Solve v = -4*g + 6*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -3491, -3, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(16\/(-14) + 1). Let m(i) = 6*i**2 - 2*i - 4. Let x be m(3). Let z = x + u. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/41166 and 37\/288.\nAnswer: 658656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-21) - (-660)\/700)*(-4 - (-9018)\/72)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 + 2*f**2 - 4*f - 14. Determine h(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21729 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43457 and 5.\nAnswer: 43462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 2\/5, -1127 in decreasing order.\nAnswer: 4, 2\/5, -2, -1127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 28629920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/7 of a week?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:53 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -13*d**5\/20 - 25*d**4\/12 - 2044*d**2 - d - 1892. Differentiate x(q) with respect to q.\nAnswer: -39*q**2 - 50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 963 + -741. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:28 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 5 - (-30 + 30)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-114133)\/95 + (-6)\/10. Calculate the remainder when 19\/133 - b\/14 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -10, 3*k + 0*u - 380 = -2*u. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 3*a + 1. Let v be s(-3). Let w be (((-4)\/24)\/((-3)\/(-8)))\/((-2)\/36). Put w, 5, 2, v in decreasing order.\nAnswer: w, 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181813 + 584?\nAnswer: 182397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z - 41 = -3*m, -2*m - z = -18. Let s(c) = -2 - m*c**2 + 3*c**2 - c**2. Suppose 4*h = 9*h + 20. Let l(d) = d**2 + 1. What is h*l(j) - s(j)?\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 12*q**2 - 6*q + 158. Determine u(-11).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 621 + -626. Suppose -5*n + q = -20, -7*n + 3*n + 2*q = -16. Suppose -n*i = i. Which is the nearest to -5\/4? (a) -1 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 4*u - 96. Let k = -34 - u. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31180)\/(-2478) - (-17064)\/(-6636)) + -8*1 - 2.\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-21)\/15 + 1). Suppose -n*j + 2 = -2*i - 8, 0 = -j. Suppose -442*h = -429*h. Sort i, h, 2 in decreasing order.\nAnswer: 2, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.46 - -19.24. Let m = -2.7 + y. Let z = -40765.3 - -40765. Which is the third biggest value? (a) m (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 8 = 29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 13 + 0 + -3 + (45 - 28)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010001010100 (base 2) to base 12.\nAnswer: -12a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1075775, 1075917, 1076059, 1076201?\n\"Answer: 142*t + 1075633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485 divided by -146771.\nAnswer: -485\/146771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or 3452510?\nAnswer: 3452510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 + 3.358. Let s = v - -0.041828. Round s to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -5.5. Let s be (5\/4 - 1)\/(20\/(-32)). Put s, 5, y in descending order.\nAnswer: 5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 616*f\/9 + 47432\/9.\nAnswer: 2*(f - 154)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 + 7*h + 25. Let b(o) = 3*o**2 + 4*o + 12. Let n(m) = 5*b(m) - 2*r(m). List the prime factors of n(-4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/((sqrt(20) - sqrt(5)) + sqrt(5)))\/(sqrt(20)\/(sqrt(4)\/sqrt(2))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 3*v. Suppose -v*z = -9*z + 25. Is 27 a factor of 268\/z + (-22)\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3601922 * -2\nAnswer: 7203844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 3*d**5 + 10*d**5 + (-2 + 2 + 2)*(-34*d + 18*d**4 + 2*d**5 + 34*d).\nAnswer: 19*d**5 + 36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 + 164. Let s = j - 74.026. Let q = -3.026 - s. Put -1, q, 1\/12 in decreasing order.\nAnswer: 1\/12, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19080 is divided by 2119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898542*u - 898542*u + 4344*u**3.\nAnswer: 4344*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*y + y - 15, -5*u - 5*y = -200. Let k = u - 173\/5. Let f = -316\/1547 + 6\/119. What is the second biggest value in -2, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 3 - 3 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 5*g + 2*i, 5*i - 10 = 2*g. Suppose 2*q + 2*s - 444 = g, -4*q - 5*s + 401 = -486. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 33*v**2 + 4*v + 427*v**2 + 2*v + 1324*v**2.\nAnswer: 1784*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 1. Let c(i) = 3*i - 2. Let p(z) = 3*c(z) - 5*y(z). Let d be p(-3). Suppose -d*h = -h. Solve 4*a + x - 23 = -a, h = -x - 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15076 <= 2\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2 - 34. Let a = l + 37. Suppose -5 = z, a = 5*y + z - 2*z. Solve -k = -b - 2, y*b = -2*b + 3*k - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9*y**5)**(1\/2) assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j. Let b(c) = 1048*c**2 - 89*c - 86*c + 175*c. Give b(m(r)).\nAnswer: 4192*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*((1*(6*sqrt(880))\/sqrt(11))**2 - (sqrt(20)\/(sqrt(4)*3) + (6*(sqrt(5) - sqrt(25)\/sqrt(5)))**2)).\nAnswer: -sqrt(5)\/3 + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 685*w + 3434. Calculate d(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -684.56 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5 = 1. Let z be (3\/(-2))\/(a\/(-2)) + 0. Suppose -9*g = -z - 15. Put g, -1, -5, 6 in decreasing order.\nAnswer: 6, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -10. Suppose -5*u + c + 27 = w*c, -25 = -3*u + 2*c. Let g(l) = -l + 22. What is the remainder when g(u) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -111, -251, -447, -699?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23\/2, -18, -0.2, 0.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 175 + 97. Calculate the remainder when o is divided by -19 - 8734\/(-462) - (-382)\/42.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37656*q + 15558.\nAnswer: -37656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/4)\/(2\/(-8)). Suppose 0 = -b + 3*j + 7, -35 = -3*b + 5*j - w. What is the remainder when 35 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*v - 5, 3 = 4*w + v + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(39)\/sqrt(3) + 1 + -1*sqrt(39)\/sqrt(3))**2 - (-5*(0 + sqrt(13))*-1)**2*6.\nAnswer: -1949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.94793 - 0.05207. Which is the second smallest value? (a) t (b) -2 (c) -18\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85 and 2627333.\nAnswer: 13136665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 19. What is the derivative of -r**y - 16*r - 11*r - 50 + 64 wrt r?\nAnswer: -2*r - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7975, 29900, 66443, 117604, 183383?\n\"Answer: 7309*k**2 - 2*k + 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwffvvvfffwvfffvfv. Give prob of sequence fffv.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813398 is divided by 392?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 163 = 4*p, -9*s - 2*p = -14*s + 65 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-4))\/((-1)\/2). Let p = -3 + j. Suppose -4*d + 8 = -3*o, 3*o - 6 = 6*d - 9*d. Solve o = -7*r + p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 3160892 and -0.1.\nAnswer: 3160891.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/28 and -37\/49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**2\/i)\/i)\/i)**(1\/36)\/(i**(-1\/3)*i)**2)**(-39) assuming i is positive.\nAnswer: i**(637\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 + 4)*(-78)\/(-8). Let n = -33 - i. What is the greatest common factor of 30 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 78 = 8*n. Find the second derivative of 16*j + 2238*j**2 - 2198*j**2 - n*j - 29*j wrt j.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.324724kg to micrograms.\nAnswer: 324724000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 7*m**2 + 7*m + 2. Let c be x(-6). Let r be 301\/63 - c\/18. Solve -1 = 2*a + r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-10)*(-25)\/10. Let p = 9 + -6. Suppose -p*t + 24 = -0*t. Solve -t = -2*f - x*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 + b**2 - b. Let f be s(1). Let o be 28\/(-21)*f\/2. Suppose -3*r = -d - 2*r, 3*d - 2*r + o = 0. Which is greater: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191.999998985 + 192. Round m to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 23. Let w = -41 - -52. Let u be o(w). Let v = -1\/166 - 287\/7470. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 2*h**3 - 2*h**3 + (3*h**2 - 4*h**2 + 3*h**2)*(-5*h + 2*h + 8*h) - 2*h**3 - h**3 + 10*h**3)*(-2*h - 1 + 1).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 22210*n**2 - 1664075*n - 30912020.\nAnswer: 5*(n - 4516)*(n + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 2\/5 (c) 2\/13 (d) 765 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281496 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:30 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417667 is divided by 92?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 130 = c. Let x(y) = -c - 148*y + 74*y + 68*y. Let l be x(-12). Solve -2*g - 3 = -4*q + l, -4*g + 5*q - 17 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -3*r**5\/20 - 17*r**4\/4 - 8*r**3 + 68*r + 4. Solve n(y) = 0 for y.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265 (base 12) to base 5\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-12) + (-2868)\/(-9)?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 231, 178, 125, 72?\n\"Answer: -53*t + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {r: 1, u: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-15)\/(-24))*29\/(-870)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -141\/2, 2\/7, 69, 0?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - j)*(374*j**2 - 2*j - 7*j**3 - 375*j**2 + 0*j**3) to b*j**4 + a*j**2 + q + u*j**3 + p*j and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -2*m + 12*k + 68, 0 = -5*m + 2*k + 130. Suppose -3994 - 1382 = -m*x. Is 32 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 + 231721*y\/3 - 231724.\nAnswer: (y - 3)*(y + 231724)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 28. Let s(f) = -f**3 - 15*f**2 + 14*f + 20. What is the tens digit of s(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 3*j + 5. Let v be u(2). Suppose -v*k + 30 = 3*w, 0*k = 4*w - 4*k. Let l = -1.8 - -5.8. What is the biggest value in w, l, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - 153\/(-21). Suppose -s*a + 5*a - 32 = 0. Let n = -4 - a. Solve 2*r + 2*o = 5 + 1, 2*r = o + n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 12 + 2*s - 4 - 2141*s**2 + 2152*s**2 as w + d*s + m*s**2 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -1*(sqrt(245) + 2 + sqrt(245)) - ((sqrt(245) - (-2 + sqrt(245))) + -2))**2*3.\nAnswer: 84*sqrt(5) + 747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*u - 58 = 0, -u = -3*c + 10 + 71. Is (-3*(-1)\/12)\/(c\/939016) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 173, 221, 231, 191, 89, -87, -349?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -19 + 85 - 23 - i - 20 - 15. Let j(t) = 1. Let l be -8 + (1 - 0) + 3. Calculate l*j(x) + k(x).\nAnswer: -x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/13)*d\/(d*d\/(d*d**(-1\/3))*d)*d*d)**45)**(1\/5) assuming d is positive.\nAnswer: d**(213\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67636896.\nAnswer: 2, 3, 704551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/38 - 2\/(-4). What is the greatest common factor of 9 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 1}. What is prob of picking 2 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 147.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*f**3 + 635*f**2 - 2*f - 109*f**3 - 312*f**2 - 323*f**2.\nAnswer: -481*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 275*y - 271*y - c, -21 = -25*y - 4*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4483000 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*l + 689 + 72, -4*p = 5*l - 963. Let d = p - 151. Let z = -35 + d. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250670?\nAnswer: 2, 3, 5, 47, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 29*n = 33*n - 6, -12 = -3*p - 2*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388*-238107.\nAnswer: 92385516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1011109322 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262223553 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 + 2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + 24. Let t(q) = 7*q**2 - 3*q + 3. Let s be t(2). Let i = v - s. What is the greatest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 11:20 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2. Let a be -2*(-7 + 22\/4) - 0. Let q(s) be the third derivative of 0 + 0*s**a + 0*s - 8*s**2 + 1\/8*s**4. What is q(g(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 12*f - 9. Let r be y(-11). Suppose -6*x = -2*d - r*x + 14, d + 3*x = 17. Solve d = 3*m - 5*s + 2, 4*s + 9 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3674340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/498 and -125\/3151842.\nAnswer: 3151842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -9 - 11. Let a(w) be the second derivative of 0 + 1\/54*w**4 - 2\/9*w**2 + 1\/9*w**3 + 3*w + 1\/135*w**6 - 1\/30*w**g. Factor a(i).\nAnswer: 2*(i - 2)*(i - 1)**2*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + 50. Solve -p - x = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 458903, 458123, 457343?\n\"Answer: -780*q + 459683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 3*b - g, -4*g + 191 = 2*b - 29. Which is greater: b or 109?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 551011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 776608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/(-20) + (-2)\/10. Let z be 5 - (2*-1 - -2). Let f be (-2)\/z + (-4)\/(-10). Solve f = -4*o + k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 6. Suppose -3*l + 17 = 5*d, -l - 1 = -3*d + 12. Give y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/30)\/(31\/(-1550))*(-234)\/(-208).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -176328540*t - 349046639 with respect to t.\nAnswer: -176328540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z + 61*z + 2565 = 22*z for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.10834*0.027\nAnswer: 0.00292518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 divided by -3?\nAnswer: -136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 5*v**2 - 2*v - 4. Let y be x(-5). Suppose k + 11 = -0*k - 3*c, 0 = -4*k - 5*c - 51. Let w = k + 21. Solve -4*z = -w*z - y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2995736 is divided by 1068.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.6 + -36.6. Is t != -1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3*s**4 + 7*p**3*s + p**3 - 3041*p**2*s**4 - 15*p*s wrt s.\nAnswer: 24*p**3*s**2 - 36492*p**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5285, 10638, 15991, 21344, 26697?\n\"Answer: 5353*q - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - m + 0*m + 0*m + m + 0*m - 2*m + 3*m - 3*m + (2 - 3 + 3)*(-5*m + 2*m + m) + 3*m - m - m + (-3*m + 2*m + 2*m)*(3 - 4 + 3).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 6*u + v - 17, 0 = 3*u - 5*v. Let f = -42 - -38. Put 0, f, u in descending order.\nAnswer: 0, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 + 248. What is the remainder when i is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - b)*(-1174*b**2 + 3311*b**2 + 4621*b**2 + 2564*b**2).\nAnswer: -9322*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567 = -2*v + 4*w - 559, 2*v = -w + 4*w + 6 - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 3*c - 458. Solve a = -c + 192 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1224*s**3 + 15478*s**4 - 2426*s**3 + 1202*s**3 - 8090*s wrt s.\nAnswer: 185736*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**2 - d**2)*(-1 + 1 - 2*d) + 0*d**3 + 4*d**3 - 5*d**3 - 4348*d**3 + 857*d**3 - 1711*d**3.\nAnswer: -5207*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8258394 to the nearest 100000.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/3 - 6. Let w(f) = -f**3 - 10*f**2 - 8*f + 10. Let r be w(-9). Let j be (-1 - 1)*(r + 2\/(-4)). Is t at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 + -2.44. Let c = 3.06 - s. Sort -120, c, -2.\nAnswer: -120, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*i + 62 - 148*i + 3350*i**3 + 56*i wrt i.\nAnswer: 10050*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*m - 1293491 - 27807 = 0. List the prime factors of m.\nAnswer: 2, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1484, 5, 1, -1, -4 in increasing order.\nAnswer: -1484, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 0. Let u(l) = -l**5 - l**2 + l. Let p(n) = -11*n**5 - 9*n**2 + 6*n. Let a(x) = c*u(x) - p(x). Find the third derivative of a(b) wrt b.\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p. Let g(i) = 6*i + 7. Let y(u) = 12*u + 15. Let n(b) = -5*g(b) + 3*y(b). Let r(k) = k + 1. Let v(d) = n(d) - 10*r(d). What is v(h(q))?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*i - 66 = -84, 2*j + 10 = i. What is the fourth biggest value in 1, j, 1\/7, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/3 + -1 + -1. Let k = 263.99 + -264.3. What is the third smallest value in g, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -26. Suppose 5*n - l = 132, 4*n - u*n - 4*l + 18 = 0. Calculate the remainder when n is divided by 6\/2 + -10 + 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 1\/7, -0.11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -5 (c) 2.6 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5048*c**4 + 9*c**2 - 904. Let z(k) = 15144*k**4 - 24*k**2 + 2712. Let h(x) = 8*l(x) + 3*z(x). Differentiate h(d) wrt d.\nAnswer: 20192*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 21 - 12 - 19*k - 7. Let m(v) = -9*v + 1. Determine -6*f(z) + 13*m(z).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5088 is divided by 2534.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let g(l) = 15*l. Let d(t) = -5*t. Let x be (10\/20)\/((-1)\/(-2)). Let m be x\/((-3)\/9 - 0). Let q(u) = m*g(u) - 10*d(u). What is v(q(c))?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (3 - 4\/1). Suppose 2*u + s = 75, -2*s - b = -7. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 8) to base 6.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1094872600 to the nearest one hundred thousand.\nAnswer: 1094900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1060805538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 49, -5, 1954 in decreasing order.\nAnswer: 1954, 49, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1009444.\nAnswer: 5\/1009444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 743348114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = 3*s, -s + 0*p + 3*p = -15. Suppose s*w + w - 10 = 0. Suppose 0 = -6*z + z - d + 13, 0 = -2*z - 2*d + w. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -2419.40274755.\nAnswer: -2419.60274755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 + 2*b**2 + 3*b - 3. Let r(f) = 6*f**3 - 2*f**2 - 3*f + 5. What is -5*d(x) - 3*r(x)?\nAnswer: -3*x**3 - 4*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 16. What is u(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86963 and 1482?\nAnswer: 6783114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14192 - 14192 - 2475*k**3.\nAnswer: -2475*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from {a: 10, c: 1, q: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4 = -2*k. Let p(d) = 1 + k + d - 3. Let v(z) = -4*z**2. Calculate p(v(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7499645 centimeters in nanometers?\nAnswer: 7499645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 4*j - 94 + 109, 2*j + 5 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167671 or 167667?\nAnswer: 167667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119\/645 - 2\/129. Let x = 0.41 - 0.21. Put -1\/4, x, d in increasing order.\nAnswer: -1\/4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21561*y**2 + 6455*y**2 - 2874*y**2.\nAnswer: 25142*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -293.7*5\nAnswer: -1468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -435*i**3 - 193*i + 2?\nAnswer: -2610*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42721 + -45754222\/1071. Let t = 1\/357 - l. Suppose 3*a + 0*o - o = 0, 0 = 3*a - 3*o - 6. Is a bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/60 - 3*m**2. Let n(k) = 454*k - 447*k + 0 + 0. Calculate n(r(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 119 - 112 - (-1 - 0)\/(3 + -4). Let c(l) = 6*l**3 + 2*l**2 + 8*l - 9. Let n(x) = 5*x**3 + 2*x**2 + 7*x - 8. Calculate i*c(q) - 7*n(q).\nAnswer: q**3 - 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (0 - (-1 + 0)) + (36 - (75 + -38))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 90513445 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277682415.\nAnswer: 3, 5, 18512161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404432?\nAnswer: 2, 7, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3790*b - 109851 + 109851 to u + t*b and give t.\nAnswer: -3790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 4*d - 7*d + (3 + 2*d - 3)*((-2 + 0 + 3)*(2 - 2 - 1) - 2 + 4 - 3) to the form m*d + p and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 2 + (4 - 4 - 2)*(-3 - 4 + 6) - 180 - 196 + 89)*(5*k**2 + 4*k**2 - k**2) to r*k**2 + y*k + d and give r.\nAnswer: -2264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {w: 1, p: 2, h: 1, t: 1, r: 2, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 8*a + 7. Let t be b(-7). Suppose -w - 19 = -3*z, -z + w + 9 = -t*z. Solve -4*c + 5*c - z = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(2548) + -6*-3*sqrt(2548))*-3)\/(((1*sqrt(288) - sqrt(288)) + sqrt(288))\/(sqrt(8) - sqrt(128)*3)))**2.\nAnswer: 83474391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gppr when four letters picked without replacement from ggpgrgprrgpgppe?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 493304, 493367, 493430, 493493?\nAnswer: 493556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/7)*j*j\/(j*(j*j\/((j*j**(-7\/4)\/j*j)\/j)*j)\/j*j*j)*j)\/((j\/(j*j**(5\/3)))\/j**(2\/19)) assuming j is positive.\nAnswer: j**(-2245\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 10) to base 7\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + m = g - 6, -4 = -4*g + 2*m. Let v(r) = 2*r - 1. Let f be v(9). Suppose k + 1 - f = 0. Calculate the smallest common multiple of k and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50100 to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 2*x + 9. Suppose 44192*g - 44194*g = -6. Let d(a) = a**2 - 2*a + 9. Give g*d(s) - 2*v(s).\nAnswer: -s**2 - 2*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67817 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 682321, 682316, 682311?\nAnswer: 682306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43390975 rounded to three decimal places?\nAnswer: -0.434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -14580 - 1970. What is s rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26729*d**2 + 53408*d**2 - 26719*d**2.\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18b7 + -269?\nAnswer: 164a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163 + 232. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = 15. Let o be (-17)\/f + 5\/(-10). Is (-236)\/(-8)*(-4 + 1 - o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, q: 1, o: 3, f: 2, m: 2}. What is prob of picking 1 q, 1 g, and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 1572*b**2 - 18492*b + 30720.\nAnswer: -3*(b - 512)*(b - 10)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*w - h, 20 = 5*w + 4*h + 1. Let r be ((-6)\/(-2) - -1)\/(-2). Let x be r\/(-8)*-10*-2. Solve -x*y + 8 + w = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179.9 - -180. Is 182 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 + 30. Let w be t\/(-35) + 9\/(-21). Solve -v + 4 = -0*v + 3*h, -3*v + 12 = -w*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000420313 rounded to seven dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = 249. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-13 - -8 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -8. Suppose 44 = a*l - 2*l. What is the remainder when 13 is divided by 9 - l - -7*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from dodddoddddoddd.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146968912 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 205510474 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 at least -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert b98d (base 15) to base 4.\nAnswer: 21211303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1777 (b) -2 (c) -1 (d) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -1\/8*s**2 - 1\/120*s**6 + 0*s**3 + 0*s**5 + 0 - 5*s + 1\/24*s**4. Solve w(z) = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:00 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 + 76 = -5*m + 239. Solve -124 = 23*h - m*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -2*d. Suppose d*m = 2829 - 497. Suppose 5*v = m + 232. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*c**2*i**2*k + 59*c**2*i*k + 22*c**2*k + 2069*c*i**4*k - 14*c*i*k + 4*c*k wrt i?\nAnswer: 164*c**2*k + 24828*c*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*a**5 + 290*a**4 - 81*a**2 + 106.\nAnswer: 1860*a**2 + 6960*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = 6*z - 11*d + 6, -3*d = 2*z + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395 and 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8376899*v - 145568 wrt v.\nAnswer: -8376899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015099711 to 7 decimal places.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -440315 times 0.3?\nAnswer: -132094.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -7 + 27. Differentiate -17 + 8 + 6*m**q + 5 wrt m.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - (-33)\/(-24))\/((-108)\/1200) and 37\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -623, -629, -635, -641?\n\"Answer: -6*c - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 708.343 millilitres to litres.\nAnswer: 0.708343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24485 is divided by 851?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/18253463?\nAnswer: 3\/18253463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-110)\/(-55)*(-49719)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 + 27336 + 2*m + 2*m - 29387 + (-m**2 + m**2 + m**2)*(-4 + 1 + 4) to k + r*m + i*m**2 and give k.\nAnswer: -2051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3534 or 3564?\nAnswer: 3534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.056.\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - y + 2 = 1, -2*r = 2*y - 10. Find the third derivative of -15*i**r - 3*i**4 - 12*i**2 - 7*i**4 + 17*i**4 wrt i.\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 67.884kg?\nAnswer: 67884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*i + 3*s, 4*s = -4*i + 44 + 28. Suppose 56 = -i*o + 82. What is v in 6*v**o - 21\/2 - 81\/2*v = 0?\nAnswer: -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12148202\/19 >= 639378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*n + 322\/5*n**4 + 322\/5 - 2\/5*n**5 + 4\/5*n**3 - 644\/5*n**2 = 0. What is n?\nAnswer: -1, 1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5264343 divided by -584927\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 21\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -0.1312629982141.\nAnswer: 10.8687370017859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = -23*x, 10*j + 7*j = 18*j - 3*x - 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/5390 and 9\/26675110.\nAnswer: 26675110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16871, -16806, -16743, -16688, -16647?\nAnswer: -16626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10*80\/16. Let i be z\/(-33)*(-12)\/8. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l + 2 = 0. Let t(s) = -l + 2*s + 2 - 2*s + s. Is t(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, 12 = 3*q + 3*m - 2*m. Suppose -3*u = 0, -2*u + 796 = q*i - 0*u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 256 - 128. Suppose -o = -2*h + 78. Let m = -65 + h. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 - 964\/7. Let h = -9\/13 - -21\/143. Which is greater: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a + 4. Suppose 3*l - 276 = -3*i, 0 = 5*i - a*l + 3*l - 425. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2329*w - 723*w + 27468 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2831 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -r - 3, -5*r - 9 = 5*z - 6*r. Let n be (z\/7)\/(2\/(-14)). Suppose -4*c + 80 = n*v, -75 - 73 = -4*v - 2*c. Is 36 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1606 and 149\/264.\nAnswer: 19272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -5, 0.44, 2\/7?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 30 = 6*t. Let p(b) = 12981*b**2 - 5*b - 9. Let z be p(t). Suppose 4*k - 11337 = -z. Round k to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069 = 51*v - 308. Calculate the highest common divisor of v and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:27 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122044*b + 122044*b + 136*b**3.\nAnswer: 136*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8928 and 24419?\nAnswer: 21801.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 - 0.647. Let i = -0.005 + -0.575. Let v = j - i. What is v rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 11*c - 9*c - 5*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 8*l - 192. Determine t(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343 and 100968567.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + (2*sqrt(1377)*-2 - sqrt(1377)) - 6*(1 + sqrt(1377))) + 2)*-3)**2.\nAnswer: 6480*sqrt(17) + 1239444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. Let v = -2.4 - o. Let k = v - 4.6. What is the third biggest value in 2\/13, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14173 - 4022. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = h - 73, 2*t - 154 = -2*h + 4*t. What is the tens digit of (h - 79)\/((-2)\/236)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/5890 and 67\/7440?\nAnswer: 141360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146539223 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -29) + (-1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106968856 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -4471 + 4327 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*y - 4. Suppose 3*o - 5*o = -y. Suppose -2*j - 5 = -t - 13, -3*t = 5*j - 9. Solve j*i = -4 + o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 7 = v, 79*v - 75*v + 3*f - 28 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 10\/(-15)*6 + -2. Let h(x) = 4*x + 6. Let g(a) = -3*a - 5. Let v(d) = -5*g(d) - 4*h(d). What is the units digit of v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, -479, -1645, -3277?\nAnswer: -5375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 13. Find the second derivative of -15*x - 9*x + 18*x + g*x**3 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (111*(-4 + 5))\/(1 + 9) and 53\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 10. Let h be a(-12). Let z be ((-1)\/h)\/(16\/292). Let s = 115\/8 - z. Calculate the common denominator of s and 131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/7 - 2938*a**2 - 784124*a\/7 - 2807312\/7 = 0. Calculate a.\nAnswer: -34, -4, 10321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 107991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127229973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -12*m**3 - m - 1. Determine i(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 4*k**2 + 3*k - 27. Suppose 2*w - 4*a + 6 = 0, -6*w = -3*w + 4*a - 31. Let y be h(w). Which is greater: 14 or y?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -143, -227, -329, -455, -611, -803, -1037?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 29116*z**3.\nAnswer: -2*z**3*(z + 14558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -28*s**2 - s - 1. Give h(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p + 74*p - 42 = 59*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3600716 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 2781 - 3048 + s + s.\nAnswer: s - 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - (-20 + 8 - 7))*(0 - 2 - -4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1065731, 2131453, 3197175, 4262897?\n\"Answer: 1065722*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74.4 - 75.4. Put -1\/4, g, 7\/5 in descending order.\nAnswer: 7\/5, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -769 + 245. Let j = 766 + t. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72209 or 72009?\nAnswer: 72209","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 236*6\/60 + 2\/5. Let j be (-2 - q\/(-15)) + 22\/5. Solve 16 = 4*v + j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let t be x(4). Let k = t - 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.399 and -867?\nAnswer: -345.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4\/7 (b) -66 (c) -1\/4 (d) 184 (e) 1 (f) -7 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11756200*n**5 + n**4 - 1181374*n wrt n.\nAnswer: -235124000*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 2. Let k(f) = 2*f**2 - 3*f + 6. Let m be (910\/20)\/(-13) + (-2)\/(-4). Let u(t) = m*a(t) - k(t). Let s(c) = 7*c. Give s(u(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7857733.\nAnswer: 13, 604441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 11, f: 5}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 6*n**3 + 2 - 10*n**3 + 4*n**3 - 43*n to the form x*n**3 + h + y*n**2 + i*n and give i.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z**2 - 73. Let v(g) = 7*g**2 + 37. Determine -4*f(u) - 9*v(u).\nAnswer: -3*u**2 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + 1*(sqrt(190) - -2*sqrt(190)) + sqrt(190) + sqrt(190) + (sqrt(190)*2 - sqrt(190))*6)\/((sqrt(80) - (sqrt(80)*1 - sqrt(80)))\/sqrt(2)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i - 10*i - 9*i - 6*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 1, q: 7, j: 2, i: 1, p: 2}. What is prob of sequence bp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/40 and -31\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 11 - 1606. What is the highest common divisor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73, -236, -377, -490, -569, -608?\n\"Answer: x**3 + 5*x**2 - 185*x + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2113 + -2113. Let q(m) be the first derivative of -16\/3*m**3 + m**5 + s*m + 2 + 0*m**4 + 0*m**2. Find the third derivative of q(v) wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 284*m*y**2 - 85*m*y + 6*y**2 + 38*y + 62 wrt m.\nAnswer: 284*y**2 - 85*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -46\/7, -1\/10, -1.7752 in decreasing order.\nAnswer: 2\/7, -1\/10, -1.7752, -46\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 59010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 2006473*a + 2*a**2 - 2006468*a + 4*a**4 + 163 in the form x*a**3 + g*a**2 + y*a**4 + u*a + s and give s.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9 and 3372 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 10 - 1)*(2*n - 2*n + n) + 6*n - 8 + 8 - 24*n.\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60284, -59947, -59600, -59237, -58852, -58439, -57992, -57505?\nAnswer: -56972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 6:58 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-2) - 5) + 162\/12. Calculate the highest common factor of n and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, f: 4, r: 9, h: 2, g: 3}. Give prob of picking 1 f, 2 h, and 1 g.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5251.9861 rounded to the nearest one hundred?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -1\/3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 16, -10, -0.3, 3\/7, 105 in ascending order.\nAnswer: -10, -3, -0.3, 3\/7, 16, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*w - 69 = 0, 4*q - 34 = 3*w - w. What is the greatest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.2 (b) -1\/3 (c) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 3, -0.13, 2\/35.\nAnswer: -0.13, 0.04, 2\/35, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-2 - 2) + 17. Let z = -8 + n. Suppose 0 = -4*k - 7 + 19. Do z and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7418?\nAnswer: 2, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r**2. Let h(f) = -3*f - 5. Let b(v) = -2*v - 4. Let l(x) = -5*b(x) + 4*h(x). What is a(l(t))?\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(51) + sqrt(102)\/sqrt(2))\/sqrt(3) - (-1 + sqrt(2448)))**2)*6.\nAnswer: -120*sqrt(17) + 10212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.55675 months in decades?\nAnswer: 0.09630625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a micrometer in nanometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.521 + 2.581. Which is the closest to w? (a) 0.3 (b) -2\/35 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4*f + 0*f)*(15 - 26 + 8 + 35*f).\nAnswer: -70*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 52 = 133. Suppose 0 = -8*q + z*q + 17. Sort 1, 0, 2, q in descending order.\nAnswer: 2, 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = -4*u, 0 = 5*u - 0*u + 3*j - 3. Suppose -3*i + 1680 = b - 4*b, i = -u*b + 572. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -768*t**2 + 2134*t**3 + 768*t**2 - 6848*t**3 + 3734*t wrt t.\nAnswer: -28284*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 10)\/(-1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -34. Let n = u + 34. Suppose 0*z = 3*s - 5*z - 36, 4*s - n = -3*z. Solve -s*g + 2*g + 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99267, -397044, -893337, -1588140, -2481447, -3573252, -4863549?\nAnswer: -6352332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 5*n - 3*n + 2 - n + 0*n. Let o be j(-2). Which is the third smallest value? (a) -1 (b) o (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 501656541 or 501656540?\nAnswer: 501656541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -345*c**4 + 115*c**3 - 7*c**2 - 20784*c wrt c.\nAnswer: -8280*c + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4\/7 (b) -0.5 (c) 886 (d) 5 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 44504*d - 19715266. Give p(443).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 68053?\nAnswer: 3\/68053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 4, -4 in ascending order.\nAnswer: -4, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.11 (b) -8 (c) 1\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -105, -210, -367, -582, -861, -1210?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 8. Let r be t(-6). Suppose -5*s - 3 = -2*j - 15, -3*s = -r*j - 24. Let w = j - -10. Solve -2*o + 22 = -4*g - 4*o, -5*g - w*o - 32 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 12*h - 32. Let n be c(-7). Suppose -34 = -2*o + 4*a + 8, -n*a = -3. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1688160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 69?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359798 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -5 - (9 - (-1 - -6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ffvggy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:50 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24387 + 19086 = 122*p - 66789. Calculate the highest common factor of p and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 908*u**2 - 192*u?\nAnswer: 1816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 + 12*r**2 - 12*r. Let z(a) be the third derivative of a**5\/60 - a**4\/24 - 6*a**2. Suppose -10*t - 84 = -3*t. Give t*z(g) + j(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -16 + -2 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 0, 0 = -2*y + 2*x - 38 + 4. Let r = 28 + y. Solve 3*t = 2 - r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*g - 56*g = -3*a + 53, 4*a - g - 70 = 0. Solve a*q - 19*q + 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 + 3*k**2 - 4*k**2 + (-4*k + 0*k + 3*k)*(-53 + 18 + 18)*(0 + 0 - 5*k)*(2 + 0 + 0) to the form p*k**2 + d*k + i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 478 + 4?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340 by 4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/168 and -145\/102?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43.97107 centuries?\nAnswer: 439.7107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x - 28*x + 21 = 0. What is the biggest value in 3\/2, x, 1, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -13. Let a = -0.6 - -0.8. Let l = -11.2 + 11. What is the smallest value in l, o, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*c + 40 = 476*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k - 3*k + 3*k + 1. Let r be l(-1). Let n be 1099998\/5 - (-2)\/r. Round n to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -26 + (-37 + 234 - 83).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/15 + 31864*b**4\/15 + 126627212*b**3\/15 - 152469240*b**2 + 686886750*b = 0. Calculate b.\nAnswer: -7975, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*z - 39*z + 168. What is the highest common factor of 525 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (74971\/(-52) + -5)\/(3\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*(-8)\/(-6). Let o(y) = 12*y**2 - 2*y - 3. What is the remainder when o(l) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 648*p**2. Let a(u) = 66*u**2 - 3. Give a(t(n)).\nAnswer: 27713664*n**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 28642130.68?\nAnswer: -28642126.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 916.0043 decades?\nAnswer: 109920.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:44 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5648670101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2342528 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**8)\/(f\/(f**(2\/9)\/f)))\/(f**2)**(-2\/55)*f\/(f\/(f*f**1))*(f*f\/(f*f**(-1)))\/f*(f*f**(-2\/11))\/f*((f*f**(1\/8))\/f)\/f*f assuming f is positive.\nAnswer: f**(-22817\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4 + 8)) + -2 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24ebe3 (base 15) in base 11?\nAnswer: aaa7a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4587 and 228987?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94896791 is divided by 14622.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -1. Let v(k) = -k**2 - 5*k + 7. What is the units digit of v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + (4 - (14 + -7 + 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 500*a**3*q**4 + 1448*a**3 wrt q?\nAnswer: 2000*a**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*u - 3*p, 2*u = -4*p + 12 + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 16*k + 19. List the prime factors of f(-14).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 1:18 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n = -2*z + 40*n - 40, -2*z - 22 = -2*n for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4307 + 4315.756. Let d = 0.044 + f. Round d to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:46 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and 1\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -28*n**2 + 0*n + 0 - 4\/3*n**4 - 2\/3*n**5 + 58\/3*n**3 = 0.\nAnswer: -7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14048 and 5548082.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f*y**2 - 36*f*y - 17835*y**2 + 5263*y wrt y.\nAnswer: -12*f - 35670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 41\/5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5271\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/(1216\/(-38))*(-387)\/(-90)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnw. What is prob of picking 1 w and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f + 128. Suppose -3*l = -6, -4*l = -3*y - 0*y + 313. Calculate the remainder when y is divided by u(-20).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-104)\/(-6))\/(3\/9*1) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 4*s**2 + 4695*s - 2 + 3 - 4696*s - 3*s**2 + 250*s**4 to the form k*s**4 + z*s**3 + m*s + y + c*s**2 and give k.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43401637469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g**3 + 47*g**2 - 3*g + 9. Let t(k) = -23*k**3 + 95*k**2 - 5*k + 15. Give 5*j(s) - 3*t(s).\nAnswer: 9*s**3 - 50*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (370\/(-1665))\/((-40)\/18)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2202212200122 (base 3) to base 6\nAnswer: 51331112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 770713155 divided by -5\nAnswer: -154142631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1001 + 0.198391.\nAnswer: -1000.801609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 15) to base 5.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.457 + 0.157. Which is the second smallest value? (a) 3 (b) 0.03 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(6\/7))\/((s*s*s\/(s\/s**(-1\/4)))\/s)*s**(-8)*s**(3\/22)*s assuming s is positive.\nAnswer: s**(-1773\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 13\/126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1029\/(-245)*15\/6\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 58*y + 434. Calculate b(-49).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6283089 < 6283088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87822.\nAnswer: 2, 3, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 3. Let g be n(-4). Suppose 5*i + 5*p = -20, g = -3*i - p - 3*p. Factor 2 - 5*t - 3 + 5 + t**2 - i + t**3.\nAnswer: (t - 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 428 - p + 167.\nAnswer: -p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*c - 0*z + 3*z, -4*c + z + 20 = 0. Let d be 6\/(-28)*c\/(-6). What is the third biggest value in 2\/23, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(198) - (2*sqrt(198) + sqrt(198))))\/(sqrt(9)*1*-1))\/(sqrt(77)\/(sqrt(7) + sqrt(7) + 3*sqrt(21)\/sqrt(3))*4).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(-1)*(3540\/1475)\/(2\/(-5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3082783\/40 - 77050. Let l = -1897\/120 + n. What is the common denominator of 29\/9 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 43 = -118 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 147 + 26*x - 17*x + 147.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 20. Calculate the highest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a2 + 3b069?\nAnswer: 3ada7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 - 22*i\/3 - 16.\nAnswer: -2*(i + 3)*(i + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -207, -192, -165, -120, -51, 48, 183?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - r - 3 + 2)*(40*r**2 - 21*r**2 + 3*r**2).\nAnswer: -22*r**3 + 132*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 6*p**3 + 2*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124.823675 + 6.825155. Let u = -118 - h. What is u rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 7:01 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1125)\/(-39) - 6\/(-39) - 1. Solve 0 = -5*o + k - 28 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 1 h when three letters picked without replacement from {h: 2, a: 1, p: 2, u: 5, r: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20760 = -3*x, -91*x + 25 = -96*x. Calculate the remainder when n is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*c - 10. Suppose -c*f - 2 = -3*v, -4*v - 2*f + 10 = -5*f. Factor -3 - 12*h + 3*h**v - 18*h**3 - 18*h + 12 + 41*h**2 - 5*h**2.\nAnswer: 3*(h - 3)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12*l - 4. Let v be m(-3). Suppose 4*f = -n - 15, 4*n + v = -2*f - 0*f. Let x = n - -16. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/2)\/(50\/10))\/(51\/136).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467145549 to the power of 1\/2, to the nearest integer?\nAnswer: 21614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7228593259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 5*u**8\/1848 + 2*u**7\/1155 - u**6\/132 - u**5\/165 + 5*u**2. Find k such that h(k) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15904671?\nAnswer: 3, 5301557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 1. Let z = -57 + 56. What is f(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84944 is divided by 21234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {l: 8, j: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 11) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 0*a + 6*a**2 - 2 + a**3 + 3*a + 2. Let c be (-12 + 3 - -3)\/(-2). Let f be -2*(c\/(-2) + 4). Calculate h(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + -0.07. Let y = t - -0.31. Let j = -0.04 - y. Which is the closest to 1? (a) -0.5 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.39 in 0.13, 0, -4766, 5, 1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -877820, -877821, -877822, -877823, -877824, -877825?\nAnswer: -877826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h + 7*h + 5*h)*(2 + 2 - 3) + (14*h + 7*h + 13*h)*(0 + 1 - 5) as q + t*h and give t.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5810 = 6*s - 5678 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10931825 = -5*u - 2*k + 72481642, 5*u = 3*k + 83413487. Let a = u - 9767115. Let c = a - 12615580. What is c rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 368 + -188. Suppose 326 + j = 11*i. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1314557, 221.\nAnswer: -1314557, 2, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 8*j**2 - j - 2. Let h(r) = 2*r - 34. Let q be h(15). Let i be m(q). Solve i - 1 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/9 - 84*i**3 - 10946*i**2 - 568512*i - 10179072.\nAnswer: -2*(i + 48)**2*(i + 141)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 49*t**2 - 286*t - 78. Determine s(-42).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - c**2 - 30 + 0*c**2 in the form b*c + f*c**2 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -160, -242, -366, -538, -764, -1050, -1402?\nAnswer: -1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 157448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -3*i - 2*l - l, 176 = -4*i - 3*l. Let f = 43 + i. Suppose 0 = -2*r + 5*r + f*t - 923, -5*r = -t - 1534. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 6391 = -7*b - 10773. What is the remainder when b is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01729 + 50526.\nAnswer: 50526.01729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 7063*k + 6*k**2 + 1909*k + 5*k**2 + 5154*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = -4*r + 4*m, 3*r + 3*m + 317 = -319. Let k = r - -629. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 4) + -7 - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 2*s - 5. Let c = 1126 - 1132. Give n(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 5. Let q = -4 - y. Let b be ((0\/3)\/(-1))\/q. Solve p + 2*t - 2 = b, p - 5*t + 35 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/4)\/((-1)\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 - 2394*r - 477603 = 0 for r.\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 - 1030\/(-6). Find the second derivative of -172 - 4*y + z + 18*y**2 wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001100000 + 10001001?\nAnswer: 11111011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:35 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61539865*n**3 + 33897061*n**2.\nAnswer: -369239190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6881543 divided by -3?\nAnswer: -6881543\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8946504 by 54.\nAnswer: -165676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -49. Suppose -2*d - 2*d - v = -i, -5*v + 17 = 4*d. Suppose -3*o + 56 = d. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 11*r = -6. Solve 4*x = r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 15*o + 5*o - 4*o - 18*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1550.9 - 1551. What is the second smallest value in 14\/11, -2, v, 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, -1\/11, -0.1, 955, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*c - 494, 747 = 3*z + 4*c - 0*c. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -139, -137, -137, -139, -143?\n\"Answer: -o**2 + 5*o - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)*2*-3. Let x = -9 - -20. Calculate the smallest common multiple of (-6 + -3)\/(p\/(-4)) and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*5)\/(3 - 4). Suppose -2*u - 33 = -z*u. Calculate the smallest common multiple of (1 - 1\/(-4))*4 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -218*(-11)\/((-66)\/(-5)). Let h = 181 - z. Let s = 0.6 + -0.2. Which is the nearest to h? (a) 5 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from {n: 1, w: 1, v: 2, b: 1, m: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -d481 (base 16) to base 9\nAnswer: -82555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5573754 to the nearest integer?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9701775 millimeters to meters.\nAnswer: 0.0009701775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 38 = -3*p, 12 = -2*p + 2*s - 10. Let u be p\/(-4)*(-4)\/(-42). What is the closest to -0.1 in 1\/9, u, 2\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (0 - 1)*1. Let u = 170.8 - 26.8. Let h = -141 + u. What is the second smallest value in 0.3, d, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l - 5. Determine u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -14420 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5.5. Let l(x) = -8*x + 28. Let m(c) = 2. Let p(a) = l(a) + 12*m(a). Let w be p(6). What is the closest to w in o, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvkekllrkvkvr. Give prob of picking 1 l, 2 k, and 1 v.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -m - 5, -3*n + 5*m = -4 - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9346 to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2721*c**2 + 11544*c**2 - 2*c**3 - 8823*c**2 + 360*c - 360*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 5*w**2 + 4*w + 156. Let s(u) = 2*u**2 + 2*u + 78. Determine -2*r(o) + 5*s(o).\nAnswer: 2*o**3 + 2*o + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131915.63 take away 0.4?\nAnswer: -1131916.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.8, -0.06, -2, -5 in descending order.\nAnswer: 0.8, -0.06, -0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6053 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s + 3. Suppose 3 = n + 7, 4*r + 4*n = -20. Let w be x(r). Let a be (21\/(-6))\/(w\/4). Solve 12 = -3*c - 3*o, c - 2*c - 2*o - a = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3426 = -3448 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/243 and -161\/30?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 9. Determine i(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**3 + 10*d**2 - 6*d + 4. Suppose 20*z = 25*z - 15. Let y(k) = k**3 + 3*k**2 - 2*k + 1. Calculate z*n(u) - 10*y(u).\nAnswer: 2*u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8164427627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 + -130. What is the least common multiple of ((13 + 2)\/(-5))\/s and -12*-1*(3 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -11*k**6\/120 + k**4\/3 + 4*k**3\/3 - 20*k**2. Let t(v) = -7*v**3 + 5*v + 5. Determine 8*t(r) - 5*w(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/258551, -3\/26, 5 in descending order.\nAnswer: 5, -2\/258551, -3\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 13*t**2 + 14*t + 9. Let d be f(14). Suppose -4*a + d*a = 0. Solve 5*v = 4*x - 15, v + 3*v + 4*x - 24 = a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 3*f - 5*f + 2*f. Let n be -1 + 4 + 0 + -1. Let o(m) = -m**2 - 4*m**n + 4*m**2. Calculate z(o(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jrjrrjj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562168726 to the power of 1\/2, to the nearest integer?\nAnswer: 39524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 702.4 - 705.4. Which is the third smallest value? (a) 1 (b) n (c) 471\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4112, 5716, 7320, 8924?\n\"Answer: 1604*s + 2508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -20499*k - 4. Let l(h) = 215*h. Calculate v(l(b)).\nAnswer: -4407285*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, 0, 27, 76, 153, 264?\n\"Answer: k**3 + 2*k**2 - 2*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2627 + 2550. Sort 0.2, s, 0.5, -0.1, -3 in increasing order.\nAnswer: s, -3, -0.1, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 333, 0, -11, 4 in decreasing order.\nAnswer: 333, 5, 4, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {s: 4, h: 2, u: 4, g: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvj when four letters picked without replacement from vvvhjvvnnjhv.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*y - 1118727 = -3*y, 0 = -2*y - 14. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193.9 + -194. Let c(b) = -b**3 + 5*b**2 - 5*b + 3. Let k be c(4). Let p be (0 - k)\/(2\/(-6)). Sort h, 0.3, p in decreasing order.\nAnswer: 0.3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - -1 - (-17 - (6 + -15)) - 8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/4 - 3)*(-24)\/10. List the prime factors of (9252\/(-7))\/(-4) + c\/14.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.54641 centuries in decades?\nAnswer: 85.4641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 + -5.3. Let k = t + 8. Which is the biggest value? (a) 5 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223210103331 - 103?\nAnswer: 223210103222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**3*v**3 - 2*f**3*v + 6*f**2*v**3 - 257*v**2 wrt v.\nAnswer: -24*f**3 + 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + sqrt(13))**2 + sqrt(13)) + -3 + (sqrt(325) + 1*sqrt(325))**2 + -4.\nAnswer: 25*sqrt(13) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1719356351 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 2*h - 1. Let m be d(-2). Let i be (44\/10)\/((-4)\/5 - m). Factor s - 2*s**3 - i*s**2 + 34*s**2 - 19*s.\nAnswer: -2*s*(s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-90)\/12)\/(9\/(-481323))*(-8)\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**4 - 857584*y**3 + 45959641272*y**2 + 643574771280*y + 1517064387300 = 0.\nAnswer: -11, -3, 107205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.143771923 rounded to 4 decimal places?\nAnswer: 0.1438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5783403713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 308759990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**2. Let h be (-9)\/((495\/30)\/11). Let m(g) = -6*g**2. Give h*m(l) + 7*k(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37515 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*b, 10 = -4*o + 4*b + 2. What is the remainder when 29 is divided by (-129)\/(-21)*o + 8\/(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 3974*a - 7952.\nAnswer: (a - 2)*(a + 3976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4004478 divided by -17\nAnswer: 4004478\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*a = -2*p + 206, 5*p - 259 = 3*a. Calculate the highest common factor of 550 and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6180154, -6180152, -6180148, -6180142, -6180134?\n\"Answer: f**2 - f - 6180154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6402?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 781104408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 16, 352, 73, 0, -3, 3 in ascending order.\nAnswer: -3, 0, 3, 5, 16, 73, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*l = 0, 3*w - 2*l = l - 6. Let f be (-4 - (3 - 3))*-1. Let z(o) = -5 - 2*o + f + 0*o + 2. Determine z(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30761 divided by -1173.\nAnswer: 30761\/1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - k + 22. List the prime factors of f(0).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/4752 and -63\/664.\nAnswer: 394416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 8491\/2 and 4246 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 + 1 - 1)*(-1 + 5 - 2) + 5 - 5 - a**2 + (a - 2*a + 2*a)*(-5*a + a + 2*a) as c*a + t*a**2 + o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 5 + 6*g**2 - 14*g + 2 + 5 - 10. Differentiate c(u) with respect to u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y - 8, 0 = 5*b - 4*y + 4. Put -5, -0.3, 0.5, b in increasing order.\nAnswer: -5, b, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -939\/3043189 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-78 + 44 + 40)*((-1 + 1 + d)*(-1 + 6 - 2) + 3 - 2*d - 3) as y + g*d and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogoo when four letters picked without replacement from ggggoooooooog?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 336\/5 + (-4)\/20. What is the greatest common factor of 96 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32 - 1)*(-5 - -3). Let h be r\/(-22)*(-1 + 0). Suppose h*n - 45 - 21 = 0. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9)*-9 - 1. Suppose -1096 = l - v*l. Is 2 + (-3)\/(-6)*l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 204851375?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 349 = j + 9*t, 0 = 5*t - 10. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 1.07. Let k(h) = -h**2 - 20*h - 40. Let f be k(-18). Which is the biggest value? (a) -1 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**6 - 11*m**5 - 31*m**2. Let c(o) = -o**6 + 6*o**5 + 16*o**2. Let i(f) = -11*c(f) - 6*t(f). Find the third derivative of i(y) wrt y.\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48919661003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190*c**4*g - c**3*g - 4*c**2*g + 3*c**2 - 3*g wrt c?\nAnswer: 4560*c*g - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -768*q**2 + 2284*q**2 - 68*q - 758*q**2 - 756*q**2.\nAnswer: 2*q**2 - 68*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w**(-1\/6))\/((w\/w**2)\/w**(-1))*(w\/(w**(-2)*w*w))\/(w**(-1\/3)*w)*(w*(w*w\/((w**2\/w)\/w))\/w)**(-42) assuming w is positive.\nAnswer: w**(-503\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * -28.\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p + 2. Let i(z) = 28*z + 7. Let d(n) = -2*i(n) + 7*o(n). Let t(l) = -57*l**2 - 33*l**2 + 83*l**2. Calculate t(d(h)).\nAnswer: -343*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -5\/2*l**3 + 1\/40*l**5 + 0*l**2 - l - 1\/24*l**4 + 15. Factor r(k).\nAnswer: k*(k - 6)*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j - 5. Let k(u) = -2*u - 1. Let z(b) = c(b) - 5*k(b). Let h(m) = 28*m. Let w(p) = 7*p. Let q(l) = 2*h(l) - 9*w(l). Determine q(z(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 8*u**2 + 4*u - 1. Let a be d(-7). Suppose -a = -4*i - 28. Let x(k) = 4*k. Calculate x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897925?\nAnswer: 5, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 9*b + 12. Let m be f(-10). Suppose -2*n = -3*n - 5, -m*n - 10 = 4*x. Suppose x = 4*r + r. Are r and -1\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3 = 0, 5*x + 4*m - 65 + 94 = -0*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + (3597 - 3587).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 362393*l**2 + 362398*l**2 - 46*l as c*l + y*l**2 + o and give c.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1092*i - 2. Let p(g) = g - 1. Give -o(j) + 5*p(j).\nAnswer: 1097*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42347, -42152, -41849, -41444, -40943, -40352, -39677, -38924?\n\"Answer: -y**3 + 60*y**2 + 22*y - 42428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0*s)**(-49) assuming s is positive.\nAnswer: s**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4\/6)*54\/27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31502310\/17 <= 1853078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72776 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -111839330 divided by -5\nAnswer: 22367866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -874 + 4374\/5. What is the biggest value in -4, 1.2, r, 0.4?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/609 and 79\/2146?\nAnswer: 45066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62536531571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -59764*f - 956220. Give b(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + n**2 - n. Suppose 4*z = -7 - 1. Let a be m(z). Suppose 0 = 3*u - 5*r - 50, -3*u - 2*r = -0*r - a. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 12. Calculate d(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07139 - -0.18557.\nAnswer: 0.25696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*a + 6 = 74*a. Let y be 5\/4*(-4)\/(-10)*a. What is the units digit of (856\/12)\/y + (-4)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 11*y - 6*y. Let b be (-6)\/(-21)*y\/(-4). Solve 3\/7*g**2 + b*g + 6\/7 = 0 for g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11620 divided by -415?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, -135, 0, 57, -1.\nAnswer: -135, -3, -1, 0, 9, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470668729 and 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (20 + (6 - 10) + 8).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26722, -43096, -59470?\nAnswer: -75844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/(-52)*1\/(-3))\/((-12)\/9).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1d78 (base 16) to base 14\nAnswer: 2a6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*v**4 + 1639592*v**2 - 34556232*v?\nAnswer: 156*v**2 + 3279184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189323*g**2 + 265992*g.\nAnswer: 378646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 2423 + 4645 + 0*m**3 - 2222.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4 + 0 - 2*g + 0. Let x be t(3). Let l(v) = -8*v - 2. Let h be l(x). What is the greatest common divisor of 21 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrzzlc. Give prob of sequence zcr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025423 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 + t**2 + 2*t - 3. Let d be z(2). What is the highest common divisor of d and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 25. Calculate h(-17).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -714\/11 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -799.229 and 184137.\nAnswer: 183337.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - 111. Let z = 139 - d. Let t = -1 + z. Does 26 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -323011 * -0.2.\nAnswer: 64602.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - 2*x**4 + 0*x**4 + (16*x**2 + 21*x**2 - 32*x**2)*(-6*x**2 + 16*x**2 + 16*x**2).\nAnswer: 128*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*q**2*v - 4*p*q*v**2 + 206*p + 106*q**5*v + 9*q**2*v**3 - 3*v**3 - 2 wrt q?\nAnswer: 4*p*v + 2120*q**3*v + 18*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -11742334?\nAnswer: 11742329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17668, 35348, 53046, 70768, 88520, 106308?\nAnswer: 124138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1296, 1277, 1258?\nAnswer: 1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69344\/7 - 9904. Which is the smallest value? (a) -2 (b) -21\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90507?\nAnswer: 3, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 774502 and 167692?\nAnswer: 574680484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**5 - 1103*l**4 + 1392*l**3 + 1937*l**2 - 554*l = 0?\nAnswer: -277, -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 30 - 6 = -4*p, -3*l = 3*p - 9. Calculate the least common multiple of p and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 358, -1\/4?\nAnswer: 358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56.9 and 14?\nAnswer: -796.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 - 0.531821.\nAnswer: -31.531821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m + 1. Let c(l) = 25*l - 18. What is c(a) + 6*g(a)?\nAnswer: 7*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/51 + (-2466)\/(-2448))*8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 743*b - 60*b = 99*b + 35150 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiiioeeiieieooioeovo. What is prob of sequence eiiv?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-16 + (-4 - -15)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1. Let j(u) = 4*u + 15. Let i(q) = -q - 4. Let a(b) = 18*i(b) + 4*j(b). Let g(d) = a(d) + 12*z(d). Let p(c) = 32*c. Calculate g(p(f)).\nAnswer: -64*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133201 is divided by 1143.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 103*l + 98. Let s(q) = -13*q - 5. Give s(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1328 and 5478.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.7237 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8447.74 millilitres?\nAnswer: 8.44774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*s**3 + 8040*s**2 + 197925*s - 206045 = 0 for s.\nAnswer: -203\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331189, -331227, -331289, -331375?\nAnswer: -331485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 17. Let d be r(-15). What is the second derivative of 7*o - 2*o**d - 3*o**2 - o - o wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + -6.15. Let k = w - -8. Let s = -2.4 + 2.9. What is the closest to k in 2\/11, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 41*m + 3*m**3 + 41*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/40 + g**5\/12 + g**4\/24 - g**3\/6 - 2*g**2 + 27*g. Solve n(t) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y + 0*y)*(-1 - 2 - 10).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 + 106*x**4 - 1124*x**3 - 184*x**2 + 19056*x - 17856 = 0.\nAnswer: -62, -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3510 - 9a6?\nAnswer: 2615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 53770983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41379396*t**5 + t**2 + 1093*t - 705 wrt t?\nAnswer: -2482763760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 18*j**2 - 33*j - 12. Let b be k(-16). Suppose -b*u = -10*u + 48. Solve -3*m = -7 - u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = j + 4*j. Suppose o = -o + j. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/3)*p*p*p**(1\/5)\/p*p)\/(p\/((p*p\/p**(-1\/7))\/p)*p\/p**7))\/(((p\/p**1)\/p)**(-40)*(p*p\/(p*p**1\/p*p*p*p*p*p))**(1\/13)) assuming p is positive.\nAnswer: p**(-39607\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose 165 = 4*n + 37. Let z be n\/64*2\/23. Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1482 >= -28140\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9761 divided by -77509\nAnswer: -9761\/77509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n - 9655 + 9723 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -38. What is the greatest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 15917 + 15912 = 5*c, -3*c - 4*a + 14 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 244842, 490351, 735860, 981369, 1226878?\n\"Answer: 245509*a - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/7 and -608\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 113*w. Let r(s) be the first derivative of s**2\/2 + 65. Calculate l(r(t)).\nAnswer: 113*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**3 - 1. Let y be l(-1). What is the tens digit of (-2)\/(-4) - (-54)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.54 + -1.51. Let w = 1.03 - p. Sort w, 2\/5, 0.5, 4 in ascending order.\nAnswer: w, 2\/5, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, k: 5, d: 3, r: 7}. Give prob of sequence dy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(36\/2))\/((-431)\/1724). Let z be 0 + (-1)\/16*2. What is the nearest to t in z, 1, -3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(637) - (sqrt(39) - sqrt(39)*1)\/sqrt(3).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6609, 6610, 6611?\nAnswer: 6612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -1100221110?\nAnswer: -1100222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qadh when four letters picked without replacement from {h: 1, a: 1, q: 2, d: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p*(p\/p**(-12\/7))\/p)\/p))\/p**(1\/47) assuming p is positive.\nAnswer: p**(87\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 0*t**2 - 5\/3*t**3 + 0*t - 47 + 89\/4*t**4. Find the third derivative of j(y) wrt y.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137 * 71147\nAnswer: -9747139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 3)*4\/24. Suppose -v = -5*v + 8. Which is bigger: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 14*f**2 - 3*f - 19. Let r be (-1)\/((1\/1)\/(-1)). Let d be (37 - r)\/4 + 1. Is l(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 53 and -31.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 12002?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 12:51 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 887922 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, 17, -5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 913013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -778 + 772. Let o(n) = -4*n - 9. Let f(h) = 3*h + 8. Give y*f(m) - 5*o(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4*j*j*j**(1\/8))\/((j\/j**7)\/j**(1\/7)))\/(j*j**4*j**7*j*j**(-2\/13)\/(j\/j**5)) assuming j is positive.\nAnswer: j**(-3333\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221201222000 (base 3) in base 13?\nAnswer: -42c507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, l: 1, e: 1, o: 7, p: 3}. What is prob of sequence plo?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, 3\/5, -11\/12, 1\/2, -2\/5, 0.3?\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6908 - -329952.7327.\nAnswer: 329955.4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 766303440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*f + 7*f - 50. Let k(b) = 8*b**3 - b - 1. Let t(v) = 9*v**3 - v - 1. Determine f*t(g) + 6*k(g).\nAnswer: 3*g**3 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -29*n**3 - 4*n**2 + 196*n + 197. Give v(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 1. Let p(o) = 2*o - 3. Let u(s) = 7*l(s) - 3*p(s). Let n be u(4). Suppose -v + 2 = -n. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*z + 161*z + 215*z.\nAnswer: 625*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13871 - 10439.\nAnswer: -10438.86129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 29. Let p be ((-4)\/10 - (-86)\/(-10))*-1. Let t be k(p). Find the first derivative of -38*r - 15 + t - r wrt r.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 9. Let o be x(7). Suppose 51 = -5*c - o*n, 0 = -0*c + 2*c - n + 15. Suppose 8*t - 36 = 12*t - l, 0 = -2*t - 3*l - 18. Is c less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 20576*j + 1096146.\nAnswer: -2*(j - 53)*(j + 10341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2955890 and 2170?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/((-3)\/45). Let u = n + -3. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12691301, -25382608, -38073915, -50765222?\nAnswer: -63456529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2387169.856 + -0.1\nAnswer: -2387169.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.29 to 0 dps.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 334 - 329. Suppose -q*f - 2056 = -4*l, -12*l + 9*l - 3*f = -1569. What are the prime factors of l?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + -0.02. Let w = -0.01 + -1.99. Let z = b + w. What is the closest to 0.1 in -0.1, 5, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 - 8316 + 3360 + 4956.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4) - 2\/(-4). Let j(r) = -r**2 + 2. Let x(p) = -3 - 3 + 6 + 1. Let a = -18 + 17. Determine a*j(y) + w*x(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.09? (a) 15 (b) 0.36 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4200 - 25141\/6. Calculate the common denominator of 7\/54 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 102 = -5*c. Let u = c + -48. Solve u = -3*g + 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q\/(q*q*q\/q**(-2\/5)))\/q))**(-3\/16)\/(q*q**1)**4*(q**(1\/19)*q**(-1\/2)\/q)**28 assuming q is positive.\nAnswer: q**(-75299\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-39) - (-270)\/65. Let a be (i\/(-8))\/(1\/(-18))*2. Suppose a*l = 21*l - 411. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265 - -268. Let a(n) be the second derivative of p*n + 1\/15*n**3 + 7\/60*n**4 + 0*n**2 + 0 + 1\/20*n**5. Suppose a(q) = 0. Calculate q.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -659, -1329, -2225, -3347, -4695?\nAnswer: -6269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7756.8ml to litres.\nAnswer: 7.7568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -18, -57, -114, -195?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 56, 92, 132?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62261, 249335, 561129, 997643, 1558877?\n\"Answer: 62360*j**2 - 6*j - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(2\/7))\/(r\/(r*r\/(r\/r**(8\/7)))) assuming r is positive.\nAnswer: r**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19102690 or 19102692?\nAnswer: 19102690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.1, 0.5, 17, -1.9, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/31)*o\/((o*o**(3\/4))\/o)*o)\/(o\/o**4*o\/o**(-2\/35)) assuming o is positive.\nAnswer: o**(14137\/4340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 178*n**2 - 179*n - 89. What is u(90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002306113453 to 5 dps.\nAnswer: 0.00231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 5*q + 4*q - 2*q - 2*q + 3*q - 3 + 3 + 2*q + q + 3*q - 3*q + (-7*q + 3*q + 3*q)*(3 + 1 - 5) - 1 + 1 + 2*q)*(13*q - 10*q + 9*q).\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41\/3 + -14. What is the closest to f in 2\/11, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12589679 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {l: 1, t: 4, h: 10, e: 4}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.1346 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 679 + -706.1. Round t to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 476*s - 396. Let w(q) = 5*q**2 - 957*q + 790. Let m(a) = -7*u(a) - 3*w(a). What is the derivative of m(r) wrt r?\nAnswer: -2*r - 461","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(1\/11)\/u)\/u))\/(u*u*u**(-9)\/u)*u**(1\/3)*(u**(-3)*u)\/u*((u*u**(5\/3))\/u**(3\/13))**(-46) assuming u is positive.\nAnswer: u**(-44534\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 555589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26703 is divided by 13312.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.4 (c) 0.5 (d) -4 (e) 4 (f) -9\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 - 303 = 43*u - 704 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -92, -79, -50, 1, 80, 193?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 3) to base 5\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 4 = -m. Put -3, 5, -5, m in ascending order.\nAnswer: m, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5828621.1 rounded to the nearest 100?\nAnswer: -5828600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjfjf. Give prob of sequence jjff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -99, -109, -123, -141?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14a (base 11) to base 6\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13903675?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 11*k + 16. Let c be o(-8). Let l(s) be the first derivative of s**3\/3 + 4*s**2 + s + 1. Determine l(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 85\/(-102) - 34\/(-48). Let d = -6.3 + 1.3. What is the closest to -0.2 in d, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 30*f - 244. Let a be r(-37). Let w(u) = u**2 - 22*u + 27. Give w(a).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 + 4?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1536\/1664)\/((-2)\/(-39)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.00557847 times 53\nAnswer: 0.29565891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934773495.\nAnswer: 3, 5, 19, 173, 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -646 - -655. Calculate the least common multiple of o and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19798853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.4 + 5. Let q = f + -0.2. Let v = -0.6 + 0.9. Which is the second biggest value? (a) 0.2 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452032 divided by 5.\nAnswer: -452032\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*i + 95*i = -2*y + 2, i - y = 14. Solve -i*q + 35 = -u, -96*q + 40 = -91*q - 2*u for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72*2818\nAnswer: 202896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*y + 3*k**3 - 1168*k**2*y - 4588192*k*y wrt k?\nAnswer: -12*k*y + 18*k - 2336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 8276*s\/5 - 2006256.\nAnswer: 2*(s - 5118)*(s + 980)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/13 + 2602*o\/13 + 15540\/13 = 0. Calculate o.\nAnswer: -1295, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6784484 kilograms in grams?\nAnswer: 678.4484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 6*r**2 + 9*r - 2. Let x be t(4). Let j(u) = -5*u - u**x - 7*u + 6*u + 2. Let d be j(-6). Solve -3*n + 4*o + 0 = -5, 3*o + 5 = d*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*r**4 + 2*r**3 - 150 + 750616*r**2 + 150 + 9*r - 750616*r**2 in the form w*r**3 + x*r**2 + q*r + t*r**4 + y and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 367062 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000697116 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:39 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -877 + 1247. Suppose -4*i + 6*i = l. Is 1\/(38\/i + 5\/(-25)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 + 123. What is the greatest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/27 and -85\/37317.\nAnswer: 335853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(0\/1 - 1). Let l be (-2)\/(0 + -2)*1. Let j be (o\/2)\/(l\/(-6)). Do -3 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 2\/7, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 3.7 (c) 3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226963080 a multiple of 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*z + 13*z - 13*z + z in the form h*z + q and give h.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 5*d**2 - 2*d**2)*(-2*d**3 + 16 - 7 - 3).\nAnswer: -12*d**5 + 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, n: 2}. Give prob of sequence nn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/4295?\nAnswer: -2\/4295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-41598)\/(-62) + (-2)\/(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:08 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 3*m - 19. Let z be q(-7). Let g(p) = 2*p**2 - 14*p - 24. What is the units digit of g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 361\/4 - 74. Suppose 0 = 5*j - j + 60. Calculate the common denominator of (j + -2)\/(-2 + -2) and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 14*p + 18. Let n be z(-15). Suppose -4*l = 2*g - 4, 4*l - 2*g = n*l + 6. Let 3*c - 250*c**l + 251*c**2 - 6 - 4*c = 0. What is c?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2 + 4*u + 4. What is a(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -5. Let a(l) = -l**3 - 10*l**2 - 6*l + 37. What is the remainder when n is divided by a(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1029) - 2*sqrt(1029))*3)\/(-5*sqrt(147)*4).\nAnswer: 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1793, 3594, 5397, 7202, 9009?\nAnswer: 10818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55\/2 of a micrometer?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s + 5. Let w be f(6). Let n be (24\/5)\/((-2)\/w). Suppose -r = 2*g - 31, -3*r = -0*g - 5*g - n. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 - 8 - 11 - 2*q**3 + 38 - q - 18 to the form m + v*q**4 + l*q**2 + b*q**3 + j*q and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 27*d - 5. Let v be a(1). Suppose 4*w - 5 = 7, 0 = 5*s + 3*w - 144. Let f = s - v. Let o(n) = -n - 2. Calculate o(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 4*f + 3. Let t be (225\/(-5))\/(-5)*(3 + 2). Let m = t + -42. Give n(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7566, -15122, -22680, -30240, -37802, -45366?\n\"Answer: -j**2 - 7553*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -14*x**3\/3 - 21*x**2\/2 + 20. What is the second derivative of j(u) wrt u?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1125055 (base 6) to base 3.\nAnswer: -2221202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -4812.\nAnswer: -4812.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 21*h - 10*h - 13*h - 944*h**2 - 1 - 949*h**2 + 1888*h**2. Determine p(3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53355590 is divided by 579952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5\/4, 1\/3, 17?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -872b + -9?\nAnswer: -8735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 2*x - 30 = 0. Let t(u) be the third derivative of u**x - 5\/8*u**4 + 0 + 0*u - 1\/10*u**5 + 1\/8*u**6 - 2*u**2. Factor t(c).\nAnswer: 3*(c - 1)*(c + 1)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1372*w = l + 1354*w + 64, -l + 3*w - 4 = -2*l - 47 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1298*a**3 + 5*a**2 - 2*a. Suppose 0 = -5*c - 3*n + 11, 2*c = 3*c - 2*n - 10. Let l be z(c). Round l to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 66 = 3*c - 3*i, 4*c = -2*i - 98. Let z = c + -51. What is z rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 1, y: 4, t: 2, a: 1, v: 3}. What is prob of sequence rtyt?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m. Suppose 6 = 3*t - 0*t. Let f = 4 - t. Let a(w) = f*w - w - 5*w + 3*w. What is u(a(b))?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -1\/6*h**3 + 1\/12*h**4 + 3\/20*h**5 + 0*h - h**2 + 0. What are the prime factors of i(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.95. Let i = f + 76.05. Let b = i - 75.67. Round b to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:37 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*35\/(-75)*21. What is the tens digit of -5*(-6)\/15 - (i - 12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - (-3 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5)*(-45)\/(-6). Suppose r - m = -4*q, -2*r - 1 = -3*q - 3*r. Suppose 4*z - 152 = -4*u, q*z = 3*u + 39 + 12. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5640 divided by 705.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110011011 (base 2) in base 13?\nAnswer: 1a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 17. Let a be x(-12). What is the highest common factor of a and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlllmlllmmmlllmm. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -5*k - f, 4*k = -5*f + 6. Let x be (6\/24)\/(k\/(-12)). Solve -4*t - 5 = -4*i + x, 5*t + 18 = -3*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/147 in -0.5, 3\/10, 4, -9\/7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, l: 1, z: 6, y: 6, x: 2}. Give prob of sequence zxzb.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*n**2*p - 4*n**2 - 39*p**4 - 33 wrt p.\nAnswer: 6*n**2 - 156*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 23*x**2 - 215*x - 61. Let i(z) = 45*z**2 - 430*z - 120. Let d(y) = -5*g(y) + 3*i(y). Solve d(w) = 0.\nAnswer: -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 227, -0.3, 15 in ascending order.\nAnswer: -0.5, -0.3, 15, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -154479 divided by -221?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120.7769361 and -4.\nAnswer: 483.1077444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) + 2 - 5\/15. Suppose -157 = -6*y + 2*y - 3*r, -r + 79 = c*y. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 13907635?\nAnswer: -5563054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1476, -14.\nAnswer: -1476, -14, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 25*c. Let z(r) = -65*r - 56*r + 119*r. Give z(x(q)).\nAnswer: -4*q**2 - 50*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 60?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -78, -0.07 in decreasing order.\nAnswer: -0.07, -8, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152.085*-0.6.\nAnswer: 91.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4, 69, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 5*q**3 + 0*q**3 + (-2 + 5 + 0)*(-2*q**3 + 2 - 2).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43225*i - 6*x = 43228*i + 126, 4*i - 84 = 4*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*b - 8 = -6*q, 3*q - 9 = -3*b. Suppose 5*x - 13 - q = 0. Suppose 67 = x*t - 38. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/99*-44)\/((-9)\/6)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.78 - 21. Let s = n - 1.74. Let x = -0.86 - s. Put -5, -1, x, -0.2 in descending order.\nAnswer: x, -0.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -0.5\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -63611916.3 minus 426885?\nAnswer: -64038801.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + ((-13 - -12) + -5 - (-26 - 6)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*u = 7*u + 8, -4*a = -u - 2. Suppose a = 3*d + 5 - 2. Let z = d - 3. Put 5, 0.5, z in descending order.\nAnswer: 5, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {l: 5, s: 1, v: 4, y: 3, k: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*q + 3120 + 6485 = 0. Let a(r) = 11*r**3 - 6*r**2 - 6*r - 6. Let t(g) = 85 + 2*g**2 - 44*g**3 - 111*g**3 + 85*g + 83*g**2. What is q*a(i) + 6*t(i)?\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(288)\/(sqrt(56)\/sqrt(7)))\/(sqrt(12) + (sqrt(12) - (sqrt(132)*5)\/sqrt(11))).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 1 = -55*k + 56*k, -8*d = -2*k - 22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/11))\/w)**40\/(w**(3\/4)*w**9) assuming w is positive.\nAnswer: w**(-109\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39213.\nAnswer: 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5045011?\nAnswer: 5045011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 2. Let q(u) = -u**2 + 5*u**2 - m*u**2 + 3*u**2. Let o(k) = 2*k**2. What is q(o(g))?\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 101*k + 11. Let o(f) = 34*f + 4. Let w(m) = 11*o(m) - 4*t(m). What are the prime factors of w(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 2\/5 (c) 2634 (d) 1.7 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -487*w. Let q(z) = 49*z. What is u(q(d))?\nAnswer: -23863*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l - 1. Let b(h) = 3*h + 3. Let x(u) = -b(u) - 2*n(u). Let r(k) = -3*k**2 - 2*k - 1. Determine 6*r(d) - 10*x(d).\nAnswer: 2*d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 12354*p - 24700.\nAnswer: -2*(p + 2)*(p + 6175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2835521 (base 11) to base 6\nAnswer: -252353132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 27*d + 7)*(4 + 1 - 3)*(-3 - 2 + 0)*(4 - 4 - 4)*(-1 + d + 1).\nAnswer: 1080*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 26978*n - 26975*n + 3, -4*p + 5*n = -14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + q**2 + 0 + (0 - 4 + 3)*(2 + 2*q**2 - 2) + (q + 3*q - 5*q)*(-2*q + 2*q + 2*q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11)\/(4\/(-3 + -13)) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -885562*v**3 - 8*v + 33829 wrt v.\nAnswer: -5313372*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 53\/2. Which is the closest to 1\/3? (a) -3 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Suppose 2*p = 2*w + w - 8, 16 = 4*w. Let h(y) = 2 - p + 6*y**2. Give h(a(n)).\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 11 = 5*d + 18, -u - d - 5 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -66*k**2 + 45*k - 2. What is s(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let g(j) be the second derivative of j**3\/2 + 5*j**2 + 221*j. Give k(g(w)).\nAnswer: 9*w + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 1\/4*-75*(-14)\/(-105)*-80?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7065*k + 392*k**4 + 7065*k)*(3 - k - 9 + 0*k).\nAnswer: -392*k**5 - 2352*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/3 + m**4\/3 - 230*m**3\/3 + 674*m**2\/3 - 667*m\/3 + 221\/3 = 0.\nAnswer: -17, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**0*h)\/h*h)**(2\/109)*(h**(-4\/5))**(-6\/13))**(-2\/29) assuming h is positive.\nAnswer: h**(-5752\/205465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40287 divided by -65?\nAnswer: -3099\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -5, 3, 5, -13, -3.\nAnswer: -13, -5, -3, 1, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 7. Let y be u(14). Solve -y*i + 2*i + 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94.23 - -95. Let k = m + -1.03. Round k to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-35)*(-7)\/9 + 530431\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1977993850 rounded to the nearest 100000?\nAnswer: -1978000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-3 + 6 - -4). Let u(m) = -m**3 - 2*m**2 + 7*m + 1. Let n be u(a). Solve -n*w + 2*l - 7*l - 20 = 0, -5*l = w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.69 + 335.821.\nAnswer: 361.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-11\/6)*z**26*z assuming z is positive.\nAnswer: z**(179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -6 + 24\/7*c**3 + 4\/7*c**4 - 71\/7*c - 1\/7*c**5 - 10\/7*c**2 = 0.\nAnswer: -3, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -2122?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15060 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-203)\/522)\/(1\/3))\/(14\/(-168))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5559 - -3610. Which is smaller: -3897\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22104361.\nAnswer: 263, 84047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6)*l*l**2*(((l**0*l)\/l)\/l*l)**23)\/((l*l**(-1\/12)*l)\/(l\/l**(2\/7)))**38 assuming l is positive.\nAnswer: l**(-300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4594263228 to five dps.\nAnswer: 0.45943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 5, e: 1, h: 2, k: 4}. What is prob of sequence fhf?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2975280 to the nearest integer?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 498\/187 + -28\/11. Sort 5\/2, -5, -1, a in decreasing order.\nAnswer: 5\/2, a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = -2*h + 642, -4*h - 2580 = -4*y. Let b be (y\/10)\/((-1)\/(-20)). Factor 16 - 37*a - 187*a + 1111*a**2 + 65*a**2 + 1113*a**4 + b*a**4 - 2744*a**3.\nAnswer: (7*a - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*r**4 + 8*g**2 + 8582*g*r**5 + g*r - 990*g - 1 wrt r?\nAnswer: 12*g**2*r**2 + 171640*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92.4 + 27.9. Round s to 0 decimal places.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.93 + 5.3. Let o = -0.63 - i. What is the nearest to -1\/2 in 0.3, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*210\/84*(-1)\/(-2). What is the smallest value in -1, -65, c?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*h = 18, -7 = 2*i - 3*h + 14. Let d = 1 + i. Let y = 5 + d. Let l(r) = -r**3 - 7. Give l(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 - 708\/7. Let q(b) = -b**3 + 15. Let d be q(0). Find the common denominator of v and ((-3)\/d)\/((-2)\/(-26)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4\/7, -4, -323 in decreasing order.\nAnswer: 4\/7, 0.4, -4, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + 4536?\nAnswer: 4520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3150, -133, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0849686853 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/6 smaller than -539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-12)*(-6)\/(-9)*-3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.7760017 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23044, 49197, 75350, 101503?\n\"Answer: 26153*x - 3109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = 34. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142664286 - 1329*c**2 - 4*c**3 - 3309168*c - 3651*c**2 - 143229214 + 1242468*c = 0. Calculate c.\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*r, 74580693*t - 74580696*t = -5*r - 4 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*x + 68*x - 1 + 4*x.\nAnswer: 119*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (-1*(-4 + sqrt(50) + sqrt(50)) - sqrt(250)\/(-1*sqrt(5)))).\nAnswer: -30*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -26*t**6\/5 - 68*t**3\/3 - 15*t + 6. Find the second derivative of l(v) wrt v.\nAnswer: -1872*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(150*n**4 - 4*n**2 - 94*n**4 + 2*n**2).\nAnswer: -56*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, 29, 104, 219?\n\"Answer: 20*g**2 - 25*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 994965455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {r: 4, p: 6, f: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 t, and 1 s when four letters picked without replacement from {t: 3, z: 4, s: 2, x: 1, q: 2, l: 2}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + 2*n**4 - 3*n**4 + (-14*n + 8*n + 19*n)*(2*n**2 - 2*n**2 - n**3) to z*n**4 + f*n + p + a*n**3 + u*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 3686 = -4134 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, r: 7}. What is prob of picking 3 i and 1 r?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 3*j**3 - 2*j**3)*(0 + 3 - 1) - 468*j**2 - 3*j**3 + 468*j**2 + j**3 + 4*j**3 - j**3 + (1 - 1 - j)*(-2*j**2 + j - j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/54 and 67\/3.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 443963774 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/1)\/(3 - 18\/9). Find the third derivative of -70*f**5 + 4*f + 8*f**2 + g*f - 2*f**2 - 5*f - 2*f**4 - 4*f**2 wrt f.\nAnswer: -4200*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y - 5*h + 37, 15 = 3*h. Suppose y*m = -d + 30, -4 = -4*m + 8. Let w be (1*2)\/((-12)\/d). Is w at least as big as -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r**3 + 2*r**2 - r + 5. Is c(2) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2059*379.47.\nAnswer: 781328.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, -8, 42, 17, 0.3, -9?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1490 in 4\/5, -33\/16, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, m: 7}. What is prob of picking 2 o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1877844 is divided by 156487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8257341 less than -8257387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(34)\/(sqrt(18)*2) + (1 + (sqrt(2057) - (sqrt(2057) + -3)))**2 + -1).\nAnswer: sqrt(17)\/3 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.022, 173, 0.1 in descending order.\nAnswer: 173, 0.1, -0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68207*j**5 - 2222*j?\nAnswer: 1364140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 11*s**2 + 11*s - 14. Let z be h(-12). Is (z - (0 + -3))*317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 604511 - 311*j - 604511 + 476*j**2 wrt j.\nAnswer: 952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 9 (c) -210.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 21*g**2 + 20*g + 25. Give u(20).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -168c2 + -19?\nAnswer: -168db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.54 + -3.36. Let d = -0.1 + b. Let g be (3 + -1)*(-3)\/12. Sort 1, g, d in increasing order.\nAnswer: d, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(19)*2 - sqrt(19)) + (sqrt(19) - sqrt(684))*3.\nAnswer: -14*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 36*l**3 - 39*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 10*j + 34. Let z(y) = -2 + 1 + 0 + 3*y**2 + 2*y - 4*y. Determine z(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 6*r**2 + 12*r + 10. Let k be q(-8). Let h = k + -25. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 18*c + 35. Let f be i(-16). Let a be (-18)\/27 + (20\/f - 0). Solve -q - 20 = -a*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2 + o + 13. Let s be g(-6). Let p(z) be the first derivative of -z**4\/4 + 7*z**3\/3 - 10*z + 55. Determine p(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498*v = -1501*v - 5*a - 15, -5*v - 3*a - 41 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 22*p**2 + 2*p + 4. List the prime factors of r(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 18967960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34937*k**3 + 248747*k**2.\nAnswer: 209622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwfwfwqaaoqf. What is prob of sequence qaa?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.1, 0.11 in increasing order.\nAnswer: -0.1, 0.11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*g + 20 = 0, 7*l - 4*l + 2*g - 8 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**3\/3 + 3*s**2\/2 - 4*s + 4. Calculate v(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r - 2*r. Suppose 5*s - 2*w + 13 = 0, -s - 4*s + r*w = 25. What is the remainder when s - -1*46\/2 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760) - (sqrt(5760)*2 - sqrt(5760)))\/sqrt(8) - ((-1*sqrt(50))\/sqrt(10) - (0 + (sqrt(5) + -1 - sqrt(5))))**2.\nAnswer: -6 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 900619365 a multiple of 8659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -341334 by 59.\nAnswer: -341334\/59","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 z when four letters picked without replacement from jjzjzzzzzjzzjzzzzzzz.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 2}. What is prob of picking 1 w and 1 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i - 5*i = 24*i + 31*i - 5512 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 2\/21, -2\/7, 35.\nAnswer: -2\/7, 2\/21, 1, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376.2239l to millilitres.\nAnswer: 376223.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 8. Let m be u(11). Put m, -6\/11, 2 in descending order.\nAnswer: 2, -6\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 52.8.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*u - 1148, 0 = -4*u - 8*j + 7*j + 919. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 326948 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245257 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:52 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 0. Suppose -25*l + 27*l = w. What is the remainder when 22 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:48 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 93*z**2 + 74*z - 75. What is v(1)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -2*r + 0*r**2 + 0 + 1\/6*r**3. Let t(f) = 4*f**2. Calculate t(s(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 66 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-15)*10\/2. Let c = r + 8. Suppose -69 = o + 5*v - 1199, 5696 = 5*o + c*v. What is o rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u - 12. Let r be (3 + -30)*(-1)\/3. Suppose 5*w - 2*k = 33 + 10, -3*k - 24 = -3*w. What is the remainder when s(r) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-3 + -3 + (0 - 3))) + 24?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16.4 times 0.1726\nAnswer: -2.83064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3532009*k**3 + 25901490*k**2 wrt k?\nAnswer: 21192054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 748*d + 6731. Let p be j(-9). Let v(x) = -12*x**2 + 8*x + 6. Calculate v(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 274 and -35320725.3.\nAnswer: -35320451.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2\/13, -0.1, -5, 1\/2, -2\/55 in ascending order.\nAnswer: -9, -5, -0.1, -2\/55, 2\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737021181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b1 - 16?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5\/49, -31, 1\/6?\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -577 less than -4528?\nAnswer: -3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94912359?\nAnswer: 3, 31, 89, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -0.3 (c) 2\/35 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 38*v - 1147. Let k be g(30). Let f(z) = z**3 + 3*z**2 + 2*z + 3. Let t be f(-3). Put 1, k, t, -1 in ascending order.\nAnswer: k, t, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose -1 = 2*t - 9. Let x = t - 2. Solve -3*s = x*s - 3*r - 16, -s - g*r = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116929\/153000 + -3\/8500. What is the common denominator of -127\/216 and v?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*d = 96, -83 = t + 2*d - 91. Calculate the remainder when 541 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -724, -1444, -2164, -2884, -3604, -4324?\n\"Answer: -720*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - 2.04. Let o = -215.3 - -215. Which is the closest to 0? (a) o (b) x (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*x - 2*x = -11, 3*x = -6. Suppose 4*o - 51 = 9. Suppose s*m - o = 12. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5574694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 243744295 + 6?\nAnswer: 243744301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 4*p + 31 - 66 + 25 - 2*p**2 + 26. Let v(m) = 7*m - 7. Give 5*i(w) + 3*v(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**2 - 74*q - 83*q + 4*q**2 + 170*q.\nAnswer: -12*q**2 + 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, i: 4, j: 1, x: 12}. What is prob of sequence cccj?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87594120 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71738342939\/4303068 - -5129\/55884. Let l = -16672 + b. Find the common denominator of l and -57\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + -5*(sqrt(171) - (sqrt(171)*1 - sqrt(171))*-6)*1*1 + 3)**2.\nAnswer: 30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -53. Solve 6 = 4*p + n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 14*f - 21*f + 21 = j, 15 = 5*j for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.770246 decades in centuries?\nAnswer: 0.6770246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -548*r**3*s + 27*r**3 + r**2*s - 1061*r**2 - 40*s wrt s.\nAnswer: -548*r**3 + r**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117448.\nAnswer: 2, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**3 - 2*m**3 - 12*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:25 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353 (base 7) in base 11?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.3 - -11. Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 6:24 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 146134334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 29*i**3 + 2*i**2 - 1. Let x be h(1). Suppose 95 = o + 2*l, 5*l = 2*o - 370 + 135. Calculate the greatest common factor of o and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-22)*-4*(-10)\/(-80).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 14 + (-1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 285099 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1140\/(-3325))\/(8\/10)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*p - 9430 = -42*p - 45*p for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (sqrt(363) - (-1*(4*sqrt(363))**2 + sqrt(363)))) + 1 - 4*(sqrt(363) + (-4*(sqrt(363) + sqrt(363)*-5))**2).\nAnswer: -377519 - 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184515 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212064 is divided by 466?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173098 and 56304.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 - 38*i**3 - 44*i**3 - 85*i**3 + 25 - 31*i**3 + 4*i.\nAnswer: -189*i**3 + 4*i + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9071.75 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194*h**3\/9 - 8918*h**2\/9 - 102350*h\/9 + 1058\/3.\nAnswer: -2*(h + 23)**2*(97*h - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327737300?\nAnswer: 2, 5, 11, 401, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(16)\/(sqrt(4)*3)))\/((sqrt(768)*-1 - sqrt(768))\/sqrt(3)).\nAnswer: -3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -640*k**4*l**3 + 3*k**4*l - 2*k**2*l**3 + 17*l**3 + 2*l**2 + l wrt k.\nAnswer: -15360*k*l**3 + 72*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1385*t + 1385*t + 24*t**3.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g + 491. Let n be u(-59). What is the greatest common divisor of n and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 608 - 194 = 0. What is the remainder when z is divided by 118\/(-649) - 1\/((-22)\/312)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -438*s + 2631. Let z be k(6). Solve 80*g - 75*g + 30 = 2*u, -4*u = z*g - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 833.202 - 834. Let k = 0.688 + v. What is the nearest to -1\/6 in k, -1\/7, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/12 - 62\/(-8) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56767105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obpqmvp. Give prob of picking 1 b and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44524746 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 - 53 = -4*r, -42 = -5*r - m. Find the third derivative of -r*y**2 - 71*y**3 - 9*y - 29*y**2 + 9*y wrt y.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 19*x + 98. Let n be r(-5). Solve 7 = -n*a - g, -2*a + 0 + 2 = -g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(349*r + 332*r - 543*r)*(r**3 - 3*r**3 + r**3) as n*r**4 + b*r + h + w*r**2 + m*r**3 and give n.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -269951 - -7222085.\nAnswer: 6952134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 3439634.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 11*t - 20. Let z be x(8). Suppose -z*u - 139 = -899. What are the prime factors of u?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39314 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b - 1. Let m(t) = t - 1. Let s be m(3). Suppose -q + 4*v = s*v - 15, 0 = 5*v + 20. Suppose 15 = -q*i + 8. What is k(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let q(d) = 13*d**2 + 0 - 3 + 32*d**a + 4*d. Is q(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81 - 81 + 15*t**2 + (25 - 137 + 71)*(-23 + 4*t + 23)*(-3*t + 4 - 4 + (-t + 3*t - 3*t)*(5 - 5 - 2)).\nAnswer: 179*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 l when four letters picked without replacement from llkkkll?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -11\/9*w**2 - 49 + 1\/27*w**6 - 2\/45*w**5 + 28\/27*w**3 - 1\/3*w**4 + 2\/3*w. Factor k(a).\nAnswer: 2*(a - 1)**4*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6542.647 millilitres?\nAnswer: 6.542647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2214 - 4468 + 2254 - 5371*f in the form p*f + c and give p.\nAnswer: -5371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*g + b + 2*b, 1 = 5*g - b. Solve -2*p - 4 = -g*c + c, -2*p - 4 = -5*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q. Suppose -2*b - 4 = -6. Suppose -4*x + 3 + b = 0. Let l be i(x). Solve -l*k + 27 = -3*k - 5*p, k - p - 7 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*o + 38, 0 = -2*y + 3*o + 16 - 92. Let a(j) = j**3 + 39*j**2 + 34*j + 30. Let l be a(y). Calculate the greatest common factor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c**2)\/((c\/(c**(5\/2)\/c))\/c**(2\/7)))**(-2\/15) assuming c is positive.\nAnswer: c**(-11\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8943741 and -0.5?\nAnswer: 4471870.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14438, 28888, 43336, 57782, 72226?\n\"Answer: -y**2 + 14453*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21620 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 53*b**3 - 35*b**2 + 0*b**2.\nAnswer: 53*b**3 - 35*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39+766064671\nAnswer: 766064710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-12423)\/(-164))\/101 + 55*(-2)\/168\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*p - 92, -76 = -4*p - 2*k - 0*k. What is the units digit of p\/(-27)*3\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1970068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9.315 * -0.1002\nAnswer: 0.933363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2 = -q. Let f be (5\/(-5))\/(q\/10). Suppose f*w - w - 1 = s, s = -w + 9. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*(w*w*w\/w**(-15))\/w*w**(1\/4)*w assuming w is positive.\nAnswer: w**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 4 - (-11)\/5. What is the closest to 1\/3 in -1\/3, f, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*r - 411 = -8*k, -2*k + 262 = 2*r. Calculate the remainder when k\/(((-6)\/(-4))\/(30\/8)) is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -275 + 298. What is the remainder when 64 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-300)\/(-40))\/(2\/4) and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 448174902.123.\nAnswer: 448174896.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**7\/490 + d**6\/140 - d**5\/140 - d**4\/28 + 3*d**2. Find r, given that l(r) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = o + 3, s = -3*o - 5 + 16. Suppose 6*x - x + 4 + 9*x + x**s + 9*x**2 = 0. What is x?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 548859, 1097769, 1646679, 2195589, 2744499?\n\"Answer: 548910*g - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-5\/6))\/h)\/((h*h\/h**(-7)*h)\/h))\/(h\/((h\/((h*h**(1\/2)\/h)\/h))\/h))**(-5\/3) assuming h is positive.\nAnswer: h**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1295 and 1480?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - 1\/(-2)*-6. Suppose -b*z = 5*z - 45. Suppose -z*q - 4*f = -559, -3*q + 5*f + 127 + 201 = 0. What are the prime factors of q?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 132636?\nAnswer: 132636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -36. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2\/5 + 55344*t\/5 - 255246528\/5 = 0. Calculate t.\nAnswer: 9224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 55*r + 177. Let u be n(3). Solve l + u = 2*p - 0, 4*p = 4*l + 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*y\/(y\/(y**(1\/5)*y*y)))**12\/(((((y\/y**(-2))\/y)\/y*y)\/y*y*y*(((y**(-5)\/y)\/y)\/y)\/y*y)\/(y**(-2\/13)\/((y*(y*y**3*y)\/y)\/y))) assuming y is positive.\nAnswer: y**(3331\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a + 15*a = 238245. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133\/(-42) + (-3751)\/(-2046)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -684 - -670. Which is greater: j or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69438971 rounded to the nearest 10000?\nAnswer: -69440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.85 + -0.15. Which is the closest to 1\/4? (a) 0 (b) h (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/(105\/75)*((-2646)\/(-44))\/21\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132*d**3 - 6*d**4 - 132*d**3 + (-2 - 1 - 2)*(d**4 + 2*d**4 + d**4).\nAnswer: -26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 9*s + 4*s = 0. Which is smaller: s or -8\/19?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 11*u**2 + 14*u + 23. Determine b(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2 - 1, 5*t - 5*o - 90 = 0. What is the highest common divisor of t and 627?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -259.87 - -259.807892. What is x rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38934938?\nAnswer: 2, 7, 2781067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301011003 + -233?\nAnswer: -301011302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**5\/60 - p**4\/8 - 5*p**3\/6 - 10*p**2. Let t(z) be the first derivative of k(z). Calculate t(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -787\/7 + 112. Let j = 2 - 3.2. Let a = j - 1.8. Sort a, f, 4\/3 in descending order.\nAnswer: 4\/3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 483987 + 151065. Let l = -2348763 - b. Round l to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * 1.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 21. Let a be p(9). Sort 0, -1, a.\nAnswer: -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -4, 23, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9099 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-6)*(-33)\/(-22). Solve -c*d + 2 = 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.78 + -0.78. Which is the third smallest value? (a) -1 (b) s (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 19 - 19 - 4*w**2 to r + o*w + g*w**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -292 + 295. Factor -2\/9*o**4 + 2\/9*o**w - 2\/9*o**5 + 0*o + 2\/9*o**2 + 0.\nAnswer: -2*o**2*(o - 1)*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (25 - (-16 - -34))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -1899?\nAnswer: -30384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32220, -64447, -96674, -128901, -161128?\n\"Answer: -32227*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.47501329 to 4 decimal places.\nAnswer: -2.475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70780 and 3450?\nAnswer: 24419100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c**2 - c**2)*(0*c - 3*c + 5*c) + 2*c**3 + c**3 - c**3 + c - c**3 - c - 78*c**2 - 14*c**3 + 78*c**2 + 3*c**3 - 5*c**3 + 2*c + 0*c**3.\nAnswer: -13*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000 (base 3) to base 13.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*2*sqrt(125) - sqrt(125)) + 5 + 3 + sqrt(125))*6)**2 + -5.\nAnswer: -17280*sqrt(5) + 164299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 9. Let j = c - -13. Put 1, j, -1\/3 in decreasing order.\nAnswer: 1, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {f: 9, s: 1, v: 1, d: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 57242*p**3 - 2*p**2 + 3*p - 2. Is y(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**2 - 7674*k - 84182. Determine u(-11).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-215)\/((-2663850)\/(-944)))\/(4\/(-9))\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69523357?\nAnswer: 107, 649751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1\/6 (c) 1\/8 (d) -2\/9 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 21. Calculate the remainder when 67 is divided by i(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3342*c**5 + 8*c**4 + 57310*c wrt c.\nAnswer: -66840*c**3 + 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -4*n - 4*s + 140, 3*n = 5*s + 241. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (16 - 34) + 12507.\nAnswer: 2, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 4052070 - 238623 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2002 and -89\/561?\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32939\/6 or -5491?\nAnswer: -5491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p = -59*p + 4*a - 32, 14 = -2*p + a for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1188, -2386, -3584, -4782?\n\"Answer: -1198*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 18*m - 60. Let j(i) = 0 - i**2 - 17*i - 4 - 2 - 9. Calculate the least common multiple of j(-15) and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -3*r**4\/4 - 9*r**3 - 45*r**2\/2 - 21*r - 108. Factor k(x).\nAnswer: -3*(x + 1)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -597431, -597315, -597199, -597083, -596967, -596851?\n\"Answer: 116*p - 597547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -5*q**3\/6 - 50*q**2 - 12*q + 1. Let p be v(-20). Solve p = 4*u + a - 3, 3*u + 1 = -4*a - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21702\/27115 + -2\/5423. What is l in y*l + 4\/5 + 1\/5*l**2 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78569.58 centimeters in meters?\nAnswer: 785.6958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzuzzzuzuzuzu. Give prob of sequence uz.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 15539*d**3 + 13*d**2 + 69*d + 11. Is a(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 62, 77, 92, 107, 122, 137?\n\"Answer: 15*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.46*4.\nAnswer: 5.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5215879457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3036 = -j. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 19. Solve -5*x - 2 = p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4725380 and 120.\nAnswer: 28352280","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 55365*p + 8661297. What is x(156)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 0 + 5)*(-4*h**3 + 3*h**3 + 3*h**3)*(-4*h**2 + 0*h**2 + 5*h**2).\nAnswer: -26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(((z*z**17)\/z)\/z)*(z*z**(-12)*z*z)\/z assuming z is positive.\nAnswer: z**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 2*x**2 - 3*x + 2. Give r(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34532 (base 6) in base 10?\nAnswer: 4952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 14) in base 12?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 123968 to the nearest one thousand.\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 886715 and 3254?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-15)*24\/84.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.41 or -476\/143?\nAnswer: -476\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 125332940 = -y - 44192937, -2*m + 2*y + 162279994 = 0. Round m to the nearest one million.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109637796 times 3?\nAnswer: -328913388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 2*v + 0*v)*(-2 + 0 - 1)*(11*v + 21*v - 23*v) to g + p*v**2 + m*v and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in seconds?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*s**3 + 2*g*s + 192*g - 59*s wrt s.\nAnswer: -6*g*s**2 + 2*g - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002 (base 4) to base 12.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6615*m**3 - 6601*m**3 + 0*m**2 + 0*m**2.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -55. Suppose n = s + 18. Suppose d - 4 + 6 = 2*r, 0 = -2*r + s*d - 6. Solve -r*y = 3*y - 4*o + 6, 4*y - 3*o = -5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -63, 3, 0.\nAnswer: -63, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -13, 165 in increasing order.\nAnswer: -13, -0.4, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**2*s + 12*i**2*t - 37882*i**2 + 85*i*s*t - 1633*i*t - 5*t wrt i.\nAnswer: 10*s + 24*t - 75764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/20 + 7971\/15. Suppose -2709 = 4*f + z. What is the remainder when 57 is divided by ((-1)\/(-3))\/((-18)\/f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/470 and -29\/658.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -762*x - 3. Let p(q) = -254*q - 1. Determine 6*b(w) - 17*p(w).\nAnswer: -254*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**5 - 23*t**4 + 46*t**3 + 1556*t**2 + 312*t - 22176 = 0.\nAnswer: -22, -6, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y + 272 = -28 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - -13. Calculate the greatest common divisor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j = -15. Let i be -2*-1*j\/6. What is the derivative of 3*o + 3 - i + 2 - 1 wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -122704.244 and 1495027?\nAnswer: 1617731.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/4*(-31)\/(-589). Let g = 11.85 - -0.15. Let m = g + -45. What is the third smallest value in p, -4, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 853471739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = -2*i. Let n = i + 11. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16124189 - 13?\nAnswer: 16124176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -486, -1317, -2690, -4599, -7038?\n\"Answer: k**3 - 277*k**2 - 7*k - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.182 - 31.6. Let o = v + 0.108. Let y = o + -0.657. Round y to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-15))\/(12\/(-2790))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(10\/(-5466)) + -37 + 38 is divided by 171.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -5 + 5\/10*-2. Let w be (1*(-2)\/r)\/((-32)\/(-180352)). Is (1\/(-5) + 24\/20)*w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 10685, -163, 3.\nAnswer: -163, -2, -1, 3, 10685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g. Let p(z) be the third derivative of z**6\/360 - 43*z**3\/6 + 50*z**2. Let h(m) be the first derivative of p(m). Give c(h(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/5 + (-1)\/5. Let y be (7 + (-1030)\/150)\/((-102)\/(-10)). Which is bigger: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 43 - 2 = 0. Suppose z + 105 = 6*z. What is the remainder when z is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199094 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*f + 62. Let y be 931\/42 - 2\/f. Solve 5*o - 4 = d - 14, 2*d + y = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2297?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -257*r + 10. Let o(l) = 32384*l - 1265. Give 759*f(b) + 6*o(b).\nAnswer: -759*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 222188768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 8:14 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -133.1 and -0.1?\nAnswer: 13.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 887 - 881. Sort y, -0.2, 3, 0 in decreasing order.\nAnswer: y, 3, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3635?\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 16*a = 5*a - 10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13164*j = -5705 + 13451 - 86730 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {d: 7, g: 5, j: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100031\/4 - -25008. Factor -1\/4 + p*i**2 - 1\/4*i + 1\/4*i**3.\nAnswer: (i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391 and 1403.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 2588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvvvvvvvrvrvv. Give prob of sequence rrvv.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 9*c**2 + 3073245*c\/2 + 5890254 = 0.\nAnswer: -170732, -23\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14600, -14598, -14596?\n\"Answer: 2*b - 14602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97029 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h - 18 + 73*h - 74*h to the form f + k*h and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 7*d**2 + 4*d + 11. What are the prime factors of x(6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**3 - 7*k**3 - 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.961 + 0.039. Which is the nearest to -2\/9? (a) -0.1 (b) p (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -85, -279, -653, -1267, -2181, -3455?\n\"Answer: -10*s**3 - 4*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20702826 and 5384.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.247 and -1.36.\nAnswer: 3.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21.8 in -5, 2\/5, -2\/7, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 2. Let p = 54 + -60. Let o = p + 25. Suppose -o*r - 4 = -18*r. What is k(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gygg when four letters picked without replacement from yggggyggyg.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -27*j**4 + j**3 + 2*j**2 - j - 63. Let a(s) = 2*s**4 - s**3 - s**2 + s. Let t(b) = a(b) + k(b). What is the first derivative of t(g) wrt g?\nAnswer: -100*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/80669 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 - 6*r**2 + 2*r - 6. Let g(i) = -i**2 - 1. What is -6*g(m) + o(m)?\nAnswer: 3*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4 - 1170482*b + 1170481*b - 1 + 5. Let m(l) = 1464*l**2 + 2*l. Give n(m(d)).\nAnswer: -1464*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 divided by 89.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44225610 divided by -10?\nAnswer: -4422561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -152, 53?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2655*h = 2663*h. Let k = 3 + 1. Let q(s) = 6*s**2 + 4*s - 9. Let y(a) = -5*a**2 - 3*a + 8. Let u(b) = k*q(b) + 5*y(b). Give u(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*d + 4 = 0, 4*i - 5 = -3*d + 2. Suppose 5*f - i - 4 = 0. Is f + 29 - (-3 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 3\/(-12) + 4. Let s = 3 + -5. Let o be ((-3)\/2 - -2)\/(-4). What is the biggest value in s, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -640 - 290. Suppose 4*r - f = -t, 3*r + 4*t - 66 = 60. Let a = 86 - r. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/3 - 10*u**4\/3 - 8*u**3 - 2*u**2\/3 + 23*u\/3 + 4 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(72))\/(sqrt(28)\/(sqrt(21)\/sqrt(3)) + sqrt(4)).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/3)*(l**(-18)*l*l)\/l assuming l is positive.\nAnswer: l**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3147 + -32387?\nAnswer: -28240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/11417 - -11414\/34251. Factor 3 - m**4 + 2*m**3 + 10\/3*m**2 - b*m**5 - 7*m.\nAnswer: -(m - 1)**3*(m + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 7*u - 6. Let s be j(-5). Let k be (-2)\/(-1) + s\/(-8). Let z = -28.7 - -32.7. Which is the closest to 0.1? (a) z (b) k (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1541 + -1540. Let w(a) be the first derivative of -2 - 1\/2*a**2 + a + 4*a**3. Calculate w(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 424\/11 + -15775\/22. Let h = 12305\/18 + v. Find the common denominator of 22\/23 and h.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose 2 = -5*y + 2. What is the remainder when 25 is divided by (-18)\/(-2 - (y + n))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/3 - 7*v**2 + 15*v + 675 = 0.\nAnswer: -15, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**4\/12 + p**3\/6 + p**2\/2 - 261*p. Let c(m) = -80*m**2 + 96*m + 96. What is c(d) - 96*o(d)?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 - 435. Let j = h - -889\/3. Which is bigger: -54 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-15)\/42*-2. Sort 22, -0.5, f.\nAnswer: -0.5, f, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408740 and 59?\nAnswer: 24115660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:22 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/15 and 169\/946440.\nAnswer: 946440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:57 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12 - (1 - (-185)\/(-120))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78952.\nAnswer: 2, 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23013997.\nAnswer: 19, 31, 41, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (364\/(-70) - 8\/(-2))*(-1628)\/(-3663)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 55?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/25*1100\/440 + 160\/(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 0.1 (c) 2 (d) -6 (e) -2 (f) 4.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 m when four letters picked without replacement from mpppfmmmffffmfpmm.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 5. Let v be y(0). Solve 5*r = 3*r + 5*a - 29, v*a = -5*r + 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.81 - 9393.9.\nAnswer: -9430.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - v**2 + 2*v. Let d(q) = -265*q**2 + 274*q**2 - 4*q - 2*q. Let n(y) = 5*y**2 - 3*y. Let b(j) = -4*d(j) + 7*n(j). Give 3*a(s) - 2*b(s).\nAnswer: -3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -289 - -286. Which is smaller: 10 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 7*q**2 - 7*q - 4. Let h be f(5). Suppose 0 = h*r - 6*r + 90. What is the tens digit of 18\/(-15)*300\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-21)*r**(-24)*r*r assuming r is positive.\nAnswer: r**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(2\/7))**32*s*s**(1\/3)*s*s*s\/s**(-1\/6))**(-16\/7))**(-33\/7) assuming s is positive.\nAnswer: s**(101112\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 + 5*c + 26. Let y(p) = -4*p**3 - 4*p**2 + 21*p + 104. Let g(r) = 9*q(r) - 2*y(r). What is the hundreds digit of g(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10220 divided by -5110.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 5. Suppose 0 = -32*b + n*b + 600. Suppose -4*j + b = -144. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y - 13. Let q be j(-6). Suppose -7*o = -2*o + 4*x - 25, o = -2*x + 5. What is the second derivative of -o*u - 2*u**q - 7*u + 9*u wrt u?\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4316b - 91a?\nAnswer: 42551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/52*224\/(-42) + 198\/(-15)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 56. Let c = -36 - b. Let m be 3 + -3 - (-92)\/c - 4. Sort m, 4\/5, 1\/4 in ascending order.\nAnswer: m, 1\/4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q - 16. Let i(u) = 5*u - 29. Calculate the remainder when c(5) is divided by i(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 6*j**2. Let g be u(-6). Let l = 4 - g. Solve 4*x = -4*v + l, -2*v - 1 + 3 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3467 is divided by 408?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25724 + -231512\/9. Let w(m) be the first derivative of 4\/3*m + 5\/3*m**2 + y*m**6 - 8\/9*m**3 - 11\/6*m**4 + 30 + 8\/15*m**5. Determine r so that w(r) = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 10849328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 != 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 5. Let i be z(5). What is the units digit of (i + 4)*(-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/14175 and 93\/4450.\nAnswer: 2523150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.1 + -17. Let o be (-2)\/6*(-152)\/(-684). What is the smallest value in o, 1\/3, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 0*r + 0*r**2 + 8*r**2 - r. List the prime factors of p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -z + 3. Let r = 33 - z. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 10:43 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v - 125869*v**2 + 251743*v**2 - 125873*v**2. Let u(b) be the third derivative of b**4\/24 - b**2. What is u(k(r))?\nAnswer: r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2. Let z(w) be the first derivative of -795*w**2\/2 + 62. Give t(z(y)).\nAnswer: -1264050*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + 6. Suppose -20*s = -18*s + a. Let z be 0 + 5 + s + 18. Solve -3*m - t - 7 = 0, -z*m = m + 3*t + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 - 52) + (1 - 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/5 less than or equal to 126\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 7.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 14*n - 20 + 17. Sort 2\/13, -4, n, -39, -2\/5.\nAnswer: -39, -4, n, -2\/5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 2. Let m be r(-2). Let y be 0*(2 - 0)\/4. Is (-1 - (y - m))*-263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:31 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*f + 104 = 349*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29604*n - 29604*n - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - -15. Calculate the remainder when x is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/(q\/(q\/q**5)))\/q))\/(q**(-1)\/q))**24)**31 assuming q is positive.\nAnswer: q**5952","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 359824 and 2444.\nAnswer: 219852464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = y - 8 + 9, -5*y = -5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 2*c + 3. Let x(w) = -20*w**2 - 5*w - 9. Let p(n) = 7*n**2 + 2*n + 3. Let a(b) = 11*p(b) + 4*x(b). Let k(i) = -4*a(i) - 5*v(i). Give k(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + 3ca?\nAnswer: 3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03680237 to 5 dps.\nAnswer: 0.0368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*z**2 - 8*z**2 - 54*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 36*g**2 + 139*g**2 - 39*g**2 - 29*g**2 - 32*g**2 - 3 to f + p*g + x*g**2 + v*g**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 8*w**2 + 492*w + 4945. What is d(-10)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11475\/3060)\/((1\/(-10))\/(2\/5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -3*n**4\/4 + n**3\/3 + n**2\/2 - 2*n - 1. Let u(j) = -j - 12. Let b be u(-9). Is p(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209\/3 + -69. Let f = -48 + 53. What is the nearest to g in 0, -1\/6, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 12*z**2 - 2*z + 33. Let q be u(12). Suppose -6*k - 15 = -q*k. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**3\/6 + z**2 - 8*z. Let v be f(2). Suppose -3 = b - v. Calculate the lowest common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 - (-234)\/(-8). Let u = q - -42. Suppose -66*l = -4*w - 71*l + 87, 4*w - 3*l - 95 = 0. Calculate the remainder when w is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32402\/(-15248))\/((-58)\/8) + (-3)\/10.\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610\/8 + 3\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*d**3*h - 90*d**2*h - 2*d*h + 113*h - 145 wrt d.\nAnswer: -504*d*h - 180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-348*t + 896*t - 450*t - 6)*(-2*t**2 - t**2 + 0*t**2) to v*t**3 + l*t + u + a*t**2 and give v.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5753 is divided by 935.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7604\/21 - -1088\/3. What is the third smallest value in l, -4, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (119*y + 35*y - 14*y)*(-3 - y**3 + 2 + 2*y**3) as d*y**4 + m*y + q + w*y**3 + v*y**2 and give d.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 87 = -4*m - 60, 2*x = 3*m + 1. Which is the nearest to 3? (a) 0.3 (b) -2 (c) -0.03 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*f = 125*f. Sort 3, -6, -4, f in ascending order.\nAnswer: -6, -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-12441))\/((-3)\/3*(-9)\/((-99)\/(-1)))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1 and 1.6000453801.\nAnswer: 2.7000453801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/2*182\/(-35). Let b = g + -17. Suppose -5*d = -3*u - 6*d + 110, -2*u = -d - 70. What is the greatest common divisor of u and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from qqlhqqggghhgqgh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = -2. Let h be (y\/(-16))\/(1\/(-6)). Let r = -112\/3 + 38. What is the second smallest value in 8\/7, h, r?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 25*m**3 + 3*m**3.\nAnswer: -29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 58, 278, 712, 1432, 2510, 4018?\nAnswer: 6028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3237 - -21365. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26316 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from jtgjtjrrrr.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*x**2 - 11*x**2 + 10*x**2)*(0 - 1 + 2) + (-3*x - 5 + 5)*(2*x + 1 - 1) - x + 0*x + 4*x**2 - 2*x**2 - 1 to o*x**2 + r*x + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + 9*b**2 - 10*b - 18. Let x(n) = -2*n**3 - 6*n**2 + 7*n + 12. Let c be 7 + (-4)\/(-8)*-4. Let i(k) = c*s(k) + 8*x(k). Calculate i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 - 2211?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l. Let h(y) = 15*y - 7. Suppose -2*k = 2*s + 20, -s + k + k = 1. Let d(w) = -7*w + 3. Let i(f) = s*d(f) - 3*h(f). Calculate i(q(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 4*w + 5. Let i(k) = -k**3 + k. Let f(c) = -12*i(c) - 3*v(c). Differentiate f(d) with respect to d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 126*w**2 + w. Is p(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1605 - 1607. Let k(z) = -z**3 - 2*z**2 + 3*z + 3. Let m be k(-2). Let y = 2 - m. Which is the closest to 3? (a) y (b) 1\/6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 5830 + 0*t + 5828 - 2*t**3 + t**2 to the form s + c*t + m*t**3 + j*t**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**6\/40 - 3*d**5\/20 - 3*d**4\/8 + 3*d**3\/2 - 12*d**2. Let j(m) = m**2 + m - 1. Give 9*j(b) + n(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(768))\/sqrt(3))\/(3*sqrt(512)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m. Let x(d) = 15 - 16*d - 15. Suppose 4*r + 2 = 2*k, k + 123 = 4*r + 134. Calculate k*c(t) - 2*x(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 387 - -16c?\nAnswer: 4f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 3*p - 9*p - p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 5, q: 3, r: 3, o: 1}. Give prob of picking 2 b and 1 o.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256233, -256215, -256163, -256059, -255885, -255623, -255255, -254763?\nAnswer: -254129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 266 in 45, 2, 3?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(0 - 3\/3). Let o(s) be the second derivative of 0*s**3 - 2*s - 1\/4*s**4 + i + 0*s**2. Let t(w) = w**2. Determine t(o(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17094 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 36*o**2 + 224*o + 57. Calculate b(-11).\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162574449.\nAnswer: 3, 227, 238729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3016*c*p*z**3 + 2*c*p*z**2 - 3*c*z - 1560*p*z**2 + p*z - 2*p + 6*z**3 wrt c?\nAnswer: 3016*p*z**3 + 2*p*z**2 - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 104362*p**2 - 626200*p + 834944.\nAnswer: (p - 4)*(p - 2)*(p + 104368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - k + k**2)*(-2*k**2 - 4*k**2 + 7*k**2) - 14*k + k + 9*k**4 - 6*k**4 as g*k + p*k**3 + x + v*k**4 + l*k**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29628*l - 29637*l + 63 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12388137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146815 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 2*s - 2. Let v be f(3). Let k be ((-6)\/4)\/((19 + -34)\/(-30)). Sort k, 4, v in ascending order.\nAnswer: k, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3445 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-1056)\/32)*33\/22*(-10)\/(-24).\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 29 - (-7 - 1) - (34 + -24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/10*8\/(-6))\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -cbe7 (base 16) in base 15?\nAnswer: -106ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -843056.1\nAnswer: -84305.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v + 121 + 114 - 232 to w + s*v and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (25 - 14) - -33) + -14 + (106 - 11)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1013.2 - -928. Let l = s - -85.1999764. Round l to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 183 - 1649\/9. Let y = -0.2 + -0.3. Let m = -0.1 + 0.4. What is the nearest to m in y, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*((sqrt(135)*2*-1)\/sqrt(9))\/(-3*(sqrt(108) + sqrt(108)*-2 + sqrt(108) - sqrt(108))))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-7 - 5) - -4 - -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**5\/80 + 65*r**4\/48 + 101*r**3\/12 + 17*r**2 + 738*r. Factor o(g).\nAnswer: -(g - 68)*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + q - 2*q**3 + 28*q**2 + 12*q**4 - 5*q**4 + q**2 to the form k*q**2 + n*q + f*q**3 + s + o*q**4 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 23)*3\/(-18)*-6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -96, -448, -1034, -1854, -2908, -4196?\n\"Answer: -117*i**2 - i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11 + 3 + 8*d - d**2 - 4*d. Let j be t(6). Suppose j*v - 7*v - 3*a + 34 = 0, -3*v = 5*a - 30. Let z(b) = b**3 - 6*b**2 + 5*b + 4. What is z(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 1. Let x(q) = 0 - 2*q**2 - 3*q + 3*q**2 - 4 + 2. What is the units digit of x(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 74, 76, 72, 56, 22?\n\"Answer: -n**3 + 3*n**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/20)\/((28\/(-4))\/140)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7449*-1957\nAnswer: -14577693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000309360266 to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/90*2013\/22 - 9) + 13?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, h: 1, d: 2}. What is prob of sequence wdhw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 16.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -314, -624, -932, -1238?\n\"Answer: r**2 - 313*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 24. Let d(h) be the first derivative of 14*h**2 + 6 - 21*h**2 + z*h**2. Let i(g) = 3*g**2. Calculate i(d(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 27*p - 9. Let v be b(-14). Let n(w) = 10*w + v*w - 22*w + 0*w. Let t(a) = 9*a. Give n(t(o)).\nAnswer: -63*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*q + 1329, 1008*a - 5342 = 1004*a - 5*q. What are the prime factors of a?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000000000 - -10?\nAnswer: 100000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (450\/(-975))\/(132\/21164)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 151?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 120. Determine p(-51).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3 + 23*f**2 + 590*f - 2664 = 0?\nAnswer: -18, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 315\/(-6) - (-3)\/(-6). Suppose o + 53 = 2*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) - (-14)\/(-6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24639*(0 - (-400)\/72)*-6. What is n rounded to the nearest ten thousand?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 536 and 73901.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*l**2 + 2)*(-4 + 58 + 0).\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 7*r**2 - 6*r + 5. Let l be s(-6). Put 15, -2, l in descending order.\nAnswer: 15, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/(-1166)*67067\/67.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -0.15 (b) 0.5 (c) -1 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -6\/5, -3539, -0.5, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4260*t - 4261*t + 2 = 0. Solve 1 = -v, 0 = -3*a + 2*v + t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 40. Suppose 12 = 2*z - 2*c, 3*z - 14 = z + j*c. Solve 6*x = 2*x + z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 2*c**2 - 3*c**2)*(34705*c**3 + 2*c**2 - 35158*c**3 + c**2).\nAnswer: 453*c**5 - 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2 - (22491\/18)\/(-119).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 1242838727248\nAnswer: 1242838727292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6 + 0*b + 4*b - b - 2*b. Determine a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*(1 + (-12)\/7 + -1). Let p be (j\/40)\/(3\/15). Solve 5*s + 16 = s, 4*s + 28 = p*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109546 is divided by 1428.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4078 - 18128. What are the prime factors of l?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 18. Determine q(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2))**2 + 0 + sqrt(14)\/sqrt(2)*3 - (((sqrt(140)\/sqrt(5))\/sqrt(4))**2 + sqrt(7) + sqrt(28) + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(1\/6))\/i*i)\/i*i)\/i**(-3))**40 assuming i is positive.\nAnswer: i**(500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3449570256 and 44.\nAnswer: -3449570212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000138942 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*t + 176 = -2724, -3*t - 2900 = -5*k. Calculate the greatest common divisor of 5365 and k.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, -18, -47, -86, -135, -194?\n\"Answer: -5*c**2 - 4*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = -1. Let z(i) = 3*i + 2 - y*i + 2*i. What is the units digit of z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 2*d**2. Determine r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6207808\/9906585 - 14\/32695. Let v = k - 4\/101. Let y be 5\/15 + (-386)\/6. Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 85432480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 7. Let g be c(-5). Let w(l) = l + g*l - 5058 + 1458 + l**2 - 5*l. Let o be w(0). Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 18. Let a(z) = -z + 6. Let h(r) = 14*a(r) + 4*v(r). Let c be h(-7). Let i(n) = 8*n**2 + 4*n + 3. Is i(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 361 - 421 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 852264.1 meters in nanometers?\nAnswer: 852264100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -24693926.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.023 + -28641.\nAnswer: -28640.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125455093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 397 - 397 - 126*a**2 - 30*a**2 + 4*a**2 + 4*a**2 + (0*a + 0*a - 2*a)*(-2*a + 2 - 2).\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 499.\nAnswer: -3992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/156, -99, -7156.\nAnswer: -7156, -99, -1\/156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 30953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/2 + 2*r. Let w be l(3). Solve 4*h + w = -7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 2*n + 0 + 0*n**2 - 1\/36*n**4 + 1\/18*n**3. Factor m(o).\nAnswer: -o*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + 6.9. Let k = d - 5. What is the second biggest value in 0, k, -4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -35, -56, -79, -104?\n\"Answer: -n**2 - 16*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, s: 1, w: 1, q: 5, r: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2057) - (-1 + (sqrt(2057) - sqrt(2057)*-2)) - (3 + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + -3)) - sqrt(2057))) + -2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 446523.651 nanoseconds?\nAnswer: 0.0000000007382996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 - -2.7. Let w(s) = 2*s**3 - 1. Let j be w(1). What is the third biggest value in -2\/17, j, q?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 = -p - 15, 2 = p. Solve -l - c*l - 2 = -3*n, 0 = -2*l - 4*n - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318982367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*d**2 - 1 - 3569*d + 2 + 69*d**2 - 126*d**2 + 0 to the form c*d**2 + f + x*d and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -378 + 377. Does 17 divide 26994\/55 - a\/((-20)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = -3*r + 10, -2*d + 12 = 2*r. Suppose 0*z = -a + 3*z - 16, -3*a + z = d. What is the units digit of (1 + -3 - 4)*a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 11) in base 12?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3 = 3*w, -5*w + 2*z = -91 + 110 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 + -36. Calculate the remainder when p is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89 or 312300?\nAnswer: 312300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -210 - -2740207?\nAnswer: 2739997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 + 9*c**2 + 3. Suppose -2*o - 12 = 4*l, 5*o + 2*l = -0*o - 14. Let u(p) = p**3 + 4*p**2 + 1. Calculate o*b(d) + 5*u(d).\nAnswer: -d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 478\/3 - 160. Which is the smallest value? (a) 0.1 (b) q (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.6 (b) 4 (c) 1\/118 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - o + 4 = -2, -o + 14 = 3*w. Let t(m) be the first derivative of 1\/12*m**w + 1\/3*m**3 - 4 - 2\/3*m - 1\/15*m**5 - 1\/6*m**2. Solve t(v) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*o + 120 + 56 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 44*g**2 - 16*g + 122. What is the smallest common multiple of u(46) and 20?\nAnswer: 36180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 232019392*q - 13458249566012416.\nAnswer: -(q - 116009696)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g. Let x(h) = 4*h**3 - 6*h**2 + h. Give 3*i(v) - x(v).\nAnswer: -7*v**3 + 6*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsbke. Give prob of picking 1 e and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24844056 at least 24844055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-14) - 3\/(-7). Suppose 4*q = -i*s + 8, q + q = 4*s + 4. Suppose -3*g - 2 + 110 = s. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1*7\/(-2). Let o be (24\/5)\/6*5. Solve q = o*a + y, -13 = -0*q + 2*q + a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547469 is divided by 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 11:40 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6999\/68 + -103. Are d and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 8*u**3)*(12 - 44 - 33).\nAnswer: -520*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 405 (c) -23 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -882, -914, -970, -1062, -1202, -1402?\n\"Answer: -2*q**3 - 18*q - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 - 95. Which is smaller: -12\/7 or i?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3348 divided by -372?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82585 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 177 * 3\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-20) + (-3)\/(-12). Suppose -912 = -4*h - 2*i, -3*h - 5*i - 394 + 1064 = b. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15953*x**2 - x**4 + 15951*x**2 - 70*x + 0*x**3 + 2*x**3 to the form j + q*x**2 + n*x**4 + k*x**3 + m*x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 6. Suppose 0 = -3*q - 6, 2*w + 2*q - u - 3 = 0. Solve -w*i + 2*n + 23 = 0, -4*i + 2*n = n - 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 32 + 135 - 43 - 3*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11240 and 0.5.\nAnswer: -11239.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 7\/3, -26 in decreasing order.\nAnswer: 7\/3, -0.2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231*x + 9*x**3 + 23*x**3 - 275*x wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**2 + 5*o - 16. Let f(j) = -7*j**2 + 8*j + 11. Let l(i) = 4*i**2 - 5*i - 6. Let y(s) = -3*f(s) - 5*l(s). What is -2*v(m) + 11*y(m)?\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 14742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.0872 - -1.9128. What is the closest to 0.11 in 158, r, -1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/379728 and -56\/223479?\nAnswer: 1047669552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {c: 4, l: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130214142 (base 5) to base 7.\nAnswer: 5242540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (470 - 469) + -1 + 3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**5\/210 - 22*u**4\/21 + 68*u**3 - 7296*u**2. Let n(y) = 0. Calculate y.\nAnswer: -102, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.26714 to one decimal place.\nAnswer: -23.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 473 divided by 21.\nAnswer: 473\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.3, -0.5, 3, 0.29, -7\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 less than 810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/33*8\/(-192)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 28. Suppose -45 + 30 = a. Let y be d(a). Solve -2*b - u - 1 = -b, -b + y*u - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(684) + -3)**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2262, -2252, -2222, -2160, -2054?\nAnswer: -1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wccfcwwwcwfwcwcwww. What is prob of sequence wfww?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18168 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: Calculate the remainder when 38533 is divided by 188.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29181 is divided by 72.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v + 4*v + 3*v)*(-v + v - 3*v) + (1 - 3*v**2 - 1)*(0 + 4 - 3) - 4*v**2 + 3*v**2 + 4*v**2 as o*v**2 + c + n*v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 13*o - 119 - 1456 = 0. Solve 0 = c - 3*s + 10, 71*s + 10 = -2*c + o*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 2)*(-i**2 + 5*i**2 - i**2) as t + w*i**2 + g*i and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = w + 24. Put -1\/2, w, -3\/5, 0.5 in decreasing order.\nAnswer: w, 0.5, -1\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k. Let s(v) be the second derivative of -5*v**4\/4 - 36*v. Determine w(s(l)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 9*z - 16. Let q be i(4). Which is bigger: q or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/1507 and -33\/217556.\nAnswer: 2393116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*h**4 + 10154564*h**3 + 2864312535180*h**2 + 269314440061703916*h + 179541687016351288.\nAnswer: 4*(h + 282071)**3*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 151 and 7.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v**2 + 2*v**3 + 64*v - 4*v**3 - 18*v - 33*v + 0*v**3 as q*v + f*v**2 + i + w*v**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -47. What is the highest common factor of g and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 8 in descending order.\nAnswer: 8, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*i - 5524611 = -695*i. Does 104 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 4*h + 7. Let l be z(4). Suppose l*f = 10*f + 12. List the prime factors of (2 - 0)\/(1\/((-110)\/f)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4786896 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:58 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3376.8 (b) -2\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l + 12471 = -1840*l - 95223 + 2582 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 3 (c) 6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1060 and 515244005.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u. Let d be q(-1). Suppose -4*v + k = -12, -v + 1 = k - 7. Sort 3, d, v in descending order.\nAnswer: v, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 432159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -1 - 15. Suppose -u - 32 = -88. Suppose -13*k = -17*k + u. Calculate the highest common divisor of h and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -39, 1757 in increasing order.\nAnswer: -39, 43, 1757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26906, 53923, 80940?\nAnswer: 107957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*l + 161 + 281, -447 = -4*t + 3*l. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 - 3*t**2 + 14*t + 33. Give d(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 10. Suppose -2*j + s*l - l = 20, -36 = 5*j - 3*l. Let f be j\/(-4) - (-95)\/(-50). Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -60682*i**2. Let w(p) = p**2. Calculate h(w(d)).\nAnswer: -60682*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 40 = 4*j, -9*j - 22 = -12*j - r. Solve -5*h + 1 = t + 10, -4*t = -h - j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(84\/(-28)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, c: 2, x: 2, e: 1, p: 1, y: 1}. What is prob of sequence eec?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5620 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 46*j + 333 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 10, n: 1, q: 1}. What is prob of sequence np?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 take away 154382.146?\nAnswer: -154378.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (126\/(-15))\/((-4)\/10)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1174*j**2 - 3 + 590*j**2 + 7 - 1)*(-11 + 11 + 13*j) as d*j + a + p*j**3 + l*j**2 and give p.\nAnswer: 22932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 e, and 1 w when four letters picked without replacement from {e: 2, p: 5, m: 2, r: 4, w: 1}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1632 and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5)*1)**2 + (-2*(5 + sqrt(11) - sqrt(11)))**2.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(162)\/(-2*sqrt(9)) - sqrt(18))\/(sqrt(36)\/sqrt(6)*2) - -5*(0 + (1 + sqrt(243))*2))**2.\nAnswer: 1795*sqrt(3) + 388243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 + 20*j**2 + 47*j - 55. What is the tens digit of i(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let j = -13 + 8. Put 2, j, h in ascending order.\nAnswer: j, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/12)\/t*t*t)\/t)\/((t*t\/((t**3\/t)\/t))\/t)*(t\/t**(4\/3))\/t**(-5) assuming t is positive.\nAnswer: t**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**2 - 40*k - 25.\nAnswer: -5*(k + 1)*(3*k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9903.\nAnswer: 3, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -57*m**2. Let x(q) = 2*q + 19. What is x(f(l))?\nAnswer: -114*l**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10806 and 59\/109720.\nAnswer: 592817160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15326848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 8:42 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/7 - 47022*k**4\/7 + 276171892*k**3\/7 + 2488133808*k**2\/7 + 1027192320*k + 948326400 = 0. What is k?\nAnswer: -4, -3, -2, 11760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -34*y + 346 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22305\/(-1155) + 16 - -3 - 1\/7.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h. Let j(d) = -5472*d. Give j(c(m)).\nAnswer: -38304*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -w + 28, -20*r + w - 44 + 22 = -24*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -27\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 183084*x - 367284*x + 1 + 184200*x + 19*x**2.\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*j + 3. Let a(c) = 16*c**2 - 11*c + 11. Let x(f) = f**2 - f + 1. Let h(l) = j*a(l) + 22*x(l). Let r(i) = -i. Give h(r(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3.424364.\nAnswer: 1.3697456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024 and 384.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 3*v - 2. Let q be s(2). Let h be q - 0 - (-4620)\/4. Let a = -2215\/2 + h. What is the common denominator of a and 58\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13120 divided by 8?\nAnswer: -1640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1883 = 378. Suppose 2*z - t + 289 = 0. Suppose 5*r + 34 = 9, 3*v + 4*r + 2 = 0. What is the greatest common factor of z and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065 less than -262568228?\nAnswer: -262571293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/16 and (-894)\/(-2184) - ((-10)\/(-14))\/5.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5076 (base 14) to base 16.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13070.\nAnswer: 2, 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1613074 is divided by 39343.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1842 (b) -1\/6 (c) -1\/9 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 183+-0.13\nAnswer: 182.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 121421204 (base 5) to base 4\nAnswer: 2030232231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2291, -2290, -2295, -2312, -2347, -2406, -2495?\n\"Answer: -f**3 + 3*f**2 - f - 2292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 - 3555*g - 64962 = 0 for g.\nAnswer: -18, 1203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:05 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9*f*f**0 assuming f is positive.\nAnswer: f**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 169278*a**3 + 677076*a**2 - 677064*a.\nAnswer: 3*a*(a - 56422)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-7 - -11 - (6 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221 - -241. Let k = 31 - 15. Calculate the smallest common multiple of k and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14676, -58722, -132150, -234966, -367176?\n\"Answer: -x**3 - 14685*x**2 + 16*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1415 rounded to 2 decimal places?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002994 rounded to four dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14\/33, -0.5, -5, 25, 4\/3 in decreasing order.\nAnswer: 25, 4\/3, 14\/33, 0, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 44. Let k = m - 14. Solve -5*p = -p - k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 - 2*b**3 - 6*b**3 - 12*b**3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -800222*0.01.\nAnswer: -8002.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18156252 and 18156252.\nAnswer: 18156252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 9:48 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 + 42*z**3 + 8*z**3.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009641561 to 7 decimal places.\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + 1239\/(-15))\/((-2)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 731 - 488. Suppose -u - 5*q + 40 = -41, 3*u - l = -5*q. Calculate the highest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(16\/10) + 4\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3023, 3020, 3017, 3014, 3011, 3008?\n\"Answer: -3*b + 3026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5*(9 + 66). Let y(s) = 20*s**3 - 2*s**2 + 3*s - 1. Let q be y(1). What is the greatest common divisor of q and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.9 + 9. Let t = 0.48 - -2.52. Let s = l - t. Which is the third biggest value? (a) s (b) 0 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*s + 0 = 4, 3*s = t - 2. Let l(h) = -1 + 3*h + 5*h - 3*h + h**2. Let p be l(-6). Put 3, p, t in descending order.\nAnswer: p, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*w + 5*h, 723*w + 98 = 728*w - 4*h. Let c(o) = -4*o + 21. What is c(w)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 948 + (-1 + 5)*(65\/10)\/(-13). What is the greatest common divisor of 198 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*c + 15 = -0*h, 13 = -3*h - 2*c. Sort -7, 0, 2, h.\nAnswer: -7, h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 + (-1 - 0). Suppose -3*o + w + 0*w + 2 = 0, -o = -5*w + 18. Suppose l - 6 = -o*t - 2, -t = -5*l + 64. Put -4, s, l in descending order.\nAnswer: l, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a (base 16) to base 6.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1788 + -323?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 (base 13) in base 12?\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 7*b - 36, 498*b - 502*b - 7 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (44 - (-12 + 29 + 107))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 281, 418, 553, 686, 817, 946?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 1 - ((262 - 291) + -50)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 967, 2093, 3469, 5089, 6947, 9037, 11353?\n\"Answer: -k**3 + 131*k**2 + 740*k + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/((-7)\/(259\/2)). Let m = t - -845. Suppose m + 1720 = 4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 15*a - 30. What is v(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452)*-2 + sqrt(1452))\/((sqrt(72)*1)\/sqrt(12) + sqrt(6)).\nAnswer: -11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - t = 549, 0*u + 361 = 2*u + t. Suppose u = 4*z + 2*v - 46, 0 = 4*v + 8. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 103. Let y(k) = -k - 34. Let g(o) = 6*c(o) + 17*y(o). List the prime factors of g(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107\/5 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 - 97*b - 4. Let o be d(-7). Let r(u) = -u + 4. Let m(n) = n + 1. Let x(s) = 7*s - 20. Let q(l) = -m(l) + x(l). Give o*r(y) - 2*q(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 1)*(-1)\/(-2). Let d(u) = 20*u**3 - 2*u**2 + 2*u - 1. Let n be d(1). What is the smallest common multiple of 14 and b - (-4 - -3)*n?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/732 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((22\/4 + -6)\/2)\/((-2)\/(-40))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6 + -5 + 14)) + 25\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -1\/90*b**6 + 0 - 1\/6*b**3 - 28*b + 5\/36*b**4 + 1\/20*b**5 - 2\/3*b**2. Factor f(z).\nAnswer: -(z - 4)*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, f: 3, g: 1, c: 1, s: 2, v: 3}. Give prob of sequence pgfc.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -12. What is the smallest common multiple of 1 + -2 + 20\/2 and 5 + (-1 + 1 - g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -547, -841, -1597, -3043, -5407?\n\"Answer: -38*o**3 - 3*o**2 - 19*o - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 50, 0.072, -10, 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/3 - (-942)\/(-316). Let r = s + -349\/1738. What is the closest to 0 in -4, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 383, 933, 1767, 2885?\n\"Answer: 142*u**2 + 124*u + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1)\/(6 - 7). Suppose u = 4*d + 4916 - 15336. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1540185250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9830945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 22 = 4*i + 19, 0 = -5*u - i - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*s + 3 = 19, 0 = -2*j - 4*s + 12. Solve 18 - j = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/12)\/((-1155)\/726)*7\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - 25*p - 63. Give u(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2\/5, -2.1, 4?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10.89 (b) 0.8 (c) 0 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1434296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*b - 32, 4*b + 0*b = -5*w - 66. Let g = -7 - w. Suppose -8*s - 3*z = -g*s - 2, -1 = z. Solve 1 = l - s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 + 2*y**2 - 1. Let o be b(-1). Suppose o*l - 11 - 4 = 0. Solve -3*v = 3*w - 2 + 5, -4*v - 2 = l*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40\/(-28))\/(1\/(-7)). What is the units digit of c\/(-4)*594\/(-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.5894 to 2 dps.\nAnswer: 12.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1657.02ms to seconds.\nAnswer: 1.65702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16888331 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9751118 to the power of 1\/2, to the nearest integer?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 18. Let i(v) = -9*v**2 + v**2 + q*v**2. Let m(j) = 26*j. Give m(i(k)).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:50 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3280 = 473*r + 2927 - 8161 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1239968171?\nAnswer: 13, 463, 206009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3))**(-31)\/((k\/k**4)\/((k**(-1\/8)*k)\/k*k)) assuming k is positive.\nAnswer: k**(-961\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 41*o**2 - 2*o + 1. Let i = 21 + -20. What is the tens digit of x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 30*h + 127 - 111 + 134 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -0.2, -0.039 in increasing order.\nAnswer: -4, -3, -0.2, -0.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 7, -19, -45, -71?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/217 and -35\/85994.\nAnswer: 601958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -2, -2\/5, -179?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 21 = 3*n - 6, -d - 2*n = 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 3968272*c**2 - 11904780*c.\nAnswer: -4*c*(c + 3)*(c + 992065)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 262 by 9.\nAnswer: 262\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*d + 100990, h + 6*d - 11*d - 50492 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-2)\/(-1) + -1. Put n, 1, -4 in descending order.\nAnswer: n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452\/3729*12\/(-40)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288156 by 708.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + q**4 - 3*q**2 + (-4*q + q + 12*q)*(-5*q**3 + 11 - 11) to y*q + n*q**4 + i + t*q**2 + u*q**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431909 is divided by 47934.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*t = -13, 4*t + 6 = -h + 17. Let s = 0 - h. Let y = -7 - s. Let w(b) = b**3 + 4*b**2 + b - 4. Calculate w(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-63)\/(-1) + -1*18\/6. Suppose 60 = -12*h + l. Solve -4*a + 20 = 0, -4*a + h*a = 3*g - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = -0, 31 = -4*s - 3*v. Let y = 11 + s. Solve y = l - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.651031319 rounded to 4 dps?\nAnswer: -10.651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -70524 equal to 17\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1830 = -6*i + 9996. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5283 - -7077. Calculate the remainder when m is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 3*c + 2*c + (-2 + 6 + 0)*(c - 3*c + 25*c).\nAnswer: 95*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17735*h = -17724*h + 176 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -29*u**3\/4 - 941*u**2\/4 - 2675*u\/4 + 6525\/4 = 0.\nAnswer: -29, -5, 45\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 266\/31 (b) -1 (c) 0 (d) 1\/2 (e) -9 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + c - 2 + (5 - 1 - 2)*(-3*c + 5*c + 0*c) - 3 + 3 + c - 2 + 2 - 2*c - 2 + 2 + c)*(2*c - 12*c + c)*(-5 + 3 + 0).\nAnswer: 90*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 3*a - 7 + a**2 + 3*a - 5*a. Let p be s(7). Solve 15 = 3*f - p*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 - 2 - (14 + (-17 - -12))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10710306, -21420611, -32130916?\n\"Answer: -10710305*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113569 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from sexreerree.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13)*o*o)\/(o**(-19)\/o)*o*o**13\/o*o**(10\/3)*o assuming o is positive.\nAnswer: o**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2.7 (b) -0.1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -27704\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 157 = -31*p + 33 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a meter in centimeters?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*f = 34. Let z = 45 + f. Calculate the greatest common divisor of z and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50262184141 + 2.9\nAnswer: 50262184143.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d**3 - 2*d**2 - 45*d**3 + 2*d**2.\nAnswer: -81*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 z when four letters picked without replacement from {i: 3, n: 13, z: 4}.\nAnswer: 52\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90984924 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1090.5 + 1090. What is the nearest to 0 in 4, g, -0.4, -33?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from lsflnrfsrnslr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 79*a - 63*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*b + 2*b + 32 - 25*b - 59 wrt b?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*l - 50 = -7*m + 479*l, -4*l = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -240*i - 60. Let j be x(2). Let f be (-6)\/39 + j\/(-130). Factor -1\/6*g**f + 5\/6*g**3 - 4\/3*g**2 + 2\/3*g + 0.\nAnswer: -g*(g - 2)**2*(g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-45))\/((-42)\/30).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9107*n**2 - 9646*n**2 - 3*n + 2*n as z*n + b + p*n**2 and give p.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 - 160. Suppose 0 = -m*o - 22*o + 9880. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 70*f + 144. What is x(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, x: 2, r: 1, z: 3, w: 1, b: 1}. Give prob of sequence vv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66123778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8749 plus 56890.2?\nAnswer: 48141.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 5*l**3\/3 - 5369. Let t(a) = -443*a. Calculate d(t(w)).\nAnswer: 981245*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 6*s - 1. Let d be k(-6). Let c(g) = g**2 + 5*g + 6. What is the lowest common multiple of c(-5) and (18\/(-8))\/(d\/4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101121 (base 3) to base 7.\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*g + g + 5*o, -2*o = 4*g - 6. Solve g*x + 4*x + 12 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 61 = 47. Sort -3, p, 2 in descending order.\nAnswer: 2, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2951*b**2 + b + 8. Let i(s) = s - 22. Calculate h(i(y)).\nAnswer: 2951*y**2 - 129843*y + 1428270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46726 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 134\/8 - ((-30)\/(-8) - 3). Let t = r + -13. Let w(d) = -d**2 + 10. Calculate the remainder when w(0) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -100*h + 1030. What is the remainder when 289 is divided by y(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/22*181\/(-362)*(-8)\/8?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3483180211?\nAnswer: 7, 11317, 43969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-1)\/sqrt(7))**2 + (-5*sqrt(72)\/sqrt(9))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbxqjaxoq. What is prob of picking 3 q and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 746600533 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5\/6 - t**4\/2 - t**3\/2 + 11*t**2\/6 - t = 0?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + t**2 - 1 - 262 - 31*t**2 + 262 - 73*t + 7*t**2 + 73*t + (0 + 0 + 2*t)*(2 - 2 - 2*t).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 44. Solve -f - 9 = -4*f, -4*c + 2*f - 6 = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210.2 + 2.2. Let i = g + 205. What is the biggest value in i, 0.4, -0.4, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*l**4 + 43*l**4 - 68*l**4 + l**4 - l**4 - l**4 + (4*l**2 - 3*l**3 - 4*l**2)*(l + 0*l - 2*l).\nAnswer: -101*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 3*n - 17*n = -40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 288?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -250*c**2 - 4501*c + 15. Determine v(-18).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 487163834 to the power of 1\/2, to the nearest integer?\nAnswer: 22072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -6*o**2 + 1\/120*o**6 + 0*o + 1\/10*o**5 + 0 - 2\/3*o**3 - 1\/3*o**4. Determine k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**4 - 13116*i*j - 28860*j - 4 with respect to i.\nAnswer: 8*i**3 - 13116*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6268)\/8)\/(1\/2). Let h = -783 - r. Is 28 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2650 - -3982. List the prime factors of g.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 0*l + 2*l - 1109*l**3.\nAnswer: -1109*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52511, -105402, -158293, -211184, -264075?\n\"Answer: -52891*y + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r + 1908. What is the tens digit of r\/(-6) - 1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 401492 = 401652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.41 + 81.51. Round l to 0 dps.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-6)*(-1008)\/288*12\/(-14).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + (sqrt(931)*1 - sqrt(931)))*-1 - (sqrt(931) + 2 + 1 - (-5*-2*sqrt(931) + sqrt(931))))**2.\nAnswer: -2520*sqrt(19) + 93424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 - 2*m. Suppose -t - 4*y - 4 = 10, -t - y = -1. Let i be (t - 2)*1\/(-2). What is the remainder when d(i) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 4. Let h be x(-1). Let w(m) = 4*m - 5. Let t be w(4). Let j be (-144)\/66 + h\/t. Put 5, j, -1 in increasing order.\nAnswer: j, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829545118?\nAnswer: 2, 6143, 148913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197121.\nAnswer: 3, 65707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(m - 2*m + 2*m) + 2*m - 1 + 1 + 2*m + m - m - 2*m - 6 + 7 - 2.\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5315, 4.\nAnswer: -5315, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2954*l**2 + 81 + 2900*l**2 - l - l wrt l?\nAnswer: -108*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**3 + 11*f**2 + 3*f + 6. Let a(j) = j**3 - 4*j**2 - j - 2. Let l = -901 + 890. Give l*a(m) - 4*o(m).\nAnswer: m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 30. Let c = m - -19. Let b = c - 31.0006. What is b rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + -3 + 3 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 123. Let k be -1 - 0 - (8 + 0 + -9). Sort k, t, -2 in decreasing order.\nAnswer: t, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/75 and 117\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 109 = -204 - 277. What is the remainder when 278 is divided by n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 5*g - 3*g + (0*g - 3*g + 4*g)*(-1 - 1 + 1) + 0*g + 3*g - 5*g - g + 2*g + g + 22 - 22 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*s + 179*s + 117 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/19)\/(12\/76)*(-22)\/(-88)*-6?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 485594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12614509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 45*l**3 - 2*l**2 - 2*l - 1. Calculate w(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:51 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/47 + -79\/376. Let s = 74\/3 - 24. Let w = 0.079 - 0.579. Which is the nearest to s? (a) w (b) g (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116493?\nAnswer: 3, 13, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*m + 126*m - 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(637) + 0 + sqrt(637) + 5))**2 + ((sqrt(117) + sqrt(117)*3)*1)\/(sqrt(18)\/(sqrt(2)*-2)).\nAnswer: 3016*sqrt(13) + 92052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666482573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5457619.\nAnswer: 67, 81457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 5*v**2 + 2*v - 4. Let u be b(5). Let r(z) = u*z - 3*z + z. Let q(h) be the second derivative of -h**4\/12 - 12*h. Determine r(q(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) + (sqrt(198) - 1*sqrt(198))*-3 + (sqrt(198) + 1*sqrt(198))*-2 + sqrt(198))\/(-1*sqrt(14)\/(sqrt(28)\/(sqrt(16)\/sqrt(4)))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5415 - -3457.\nAnswer: 3456.4585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87558065 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1191\/4 - -308. Find the common denominator of 31\/16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, 8, 109, 4 in descending order.\nAnswer: 109, 8, 5, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -86. Let z(q) = -2*q**3 - 4*q**2 + 2*q + 7. Let r be z(-5). Calculate the greatest common divisor of i and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5947.\nAnswer: 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41 (b) -0.6 (c) 1 (d) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241864560.\nAnswer: 2, 5, 15523307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -35, -60, -101, -164, -255?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 185?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/18 and 97\/2418.\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 150533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -11. Let c = s + -2. Solve -2*g + c - 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 40 = 2*n. Let l(a) = -31*a + 2. What is the units digit of l(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 1 - 3. Let p(a) = -2*a. Let r = -11 - -5. Let i(x) = -x**4 + 2*x**3 - 8*x + 1. Let z(g) = r*p(g) + s*i(g). Factor z(k).\nAnswer: -2*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-6))\/5*0. Let t be z*(2 - 18\/12). Suppose -2*h - 2 = 5*m, 12 = -5*h + 3*m + 38. Solve 2*v - h + 12 = t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 6:53 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105455 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3757689\/212 - -17725. Are 1 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/7)*u**9*(u\/((((u*(u**(-4\/7)*u*u)\/u)\/u)\/u)\/u))\/u*u**4 assuming u is positive.\nAnswer: u**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001338933 to 7 dps.\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2\/2 - 4521\/4247)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 + 7 + 3487*i.\nAnswer: 3487*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + s - f - 18, 2*s + 14 = -3*f. Let j be (2\/(-5))\/(2\/s). Let a(y) = -y**2 + 2*y**j - 3*y**2. Let d(z) = -2*z. Give a(d(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + (-2)\/24*1. Let o = -0.2 - 0. Let w = -0.7 - o. What is the second biggest value in 4, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*p - 10*p**2 - 25*p**2 + 33*p**2 as y + t*p + b*p**2 and give t.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -105\/17, 2\/113, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/2 + 8118*g**2 - 324131*g\/2 - 1532412 = 0. What is g?\nAnswer: -7, 27, 16216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7551168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 33*z - 41. What is h(-32)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 51. What is the remainder when 21120\/340 - 2\/k is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 7*h**2 + 8. Let r(t) = -t**3 + 9*t**2 + 5. Let l be r(9). Suppose l*d + s - 32 = 0, d = -d + 2*s + 20. List the prime factors of c(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(405)*1 - sqrt(405))*-6)**2 + (-3 + sqrt(405)*-4)**2*2 + -4.\nAnswer: 432*sqrt(5) + 71294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/6*(-102)\/85. Suppose -z*n + 4*o = 0, 2*n - o + 5 = 10. Solve -3 = n*y - 23 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y - 5562 - 6*y + 10955 - 5395.\nAnswer: 12*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 5*t + 3. Let j = -4 + 1. Let q be m(j). Let k(f) = -f**3 + 2*f. Let g be k(-2). Solve -g*x - x - q = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/3)\/(2785\/3342)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3234 - 10?\nAnswer: -3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((33\/(-11))\/(-36)*-3)\/(7\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 66*k + 6. Calculate w(-1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*z + 516 = 0, -5 - 3 = -2*z. Let g = -14 - o. What are the prime factors of g?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.11 less than 1175000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r + 2168671 - 2168671. Let y(x) = 0*x + 2*x + x. Calculate u(y(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11265897\/523277 - -3\/30781. Let w = d + 4429\/306. Calculate the common denominator of w and 107\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/72*-8 + -4 + (-10700)\/(-963)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12435, -26176, -49077, -81138?\nAnswer: -122359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*-10*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41267677 divided by -4?\nAnswer: -41267677\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1132, 4434, 9932, 17620, 27492?\n\"Answer: -p**3 + 1104*p**2 - 3*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5566 (base 9) to base 7\nAnswer: 14661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4980432.\nAnswer: 2, 3, 19, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 - 4*f - 13. Let c(p) = 4*p**2 + 5*p + 13. Calculate -4*c(l) - 5*g(l).\nAnswer: 4*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 6 - 6)*(3*r**2 - 7 - 2*r**2 - 44).\nAnswer: -r**4 + 51*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1611207 decades to centuries.\nAnswer: 0.01611207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*-13736\nAnswer: -13736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1698826 bigger than -1698827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/21)*y*y**5 assuming y is positive.\nAnswer: y**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.4 + -17. Which is the closest to 3\/8? (a) -1 (b) m (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**5 + 3*o**5 - 92*o**2 + 17*o**3 + 2 + 25*o**2 wrt o.\nAnswer: -60*o**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 10. Let f be h(-5). Let b = -8 - f. Suppose -125 = -5*r + b*t, -5*t = -3*r - r + 100. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3303.417 nanometers to micrometers.\nAnswer: 3.303417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1. Let u be 2\/(4 - 2) - 0. Let c(x) = x. Suppose 1 = -g - 2*p - 0, 1 = -p. Let r(b) = 8*b - 5. Let a(f) = g*r(f) - 6*c(f). Calculate u*a(j) + 5*d(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 13909.\nAnswer: -13898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -281 - 249. Let b = w - -175. What is the remainder when 202 is divided by b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 1. Let u(x) = -6*x**2 - 30*x - 71. Let k(n) = -4*p(n) - u(n). Differentiate k(i) with respect to i.\nAnswer: 12*i + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2521574563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l + 1. Let z(b) = -4*b**2 + 1. Let x(y) = 3*w(y) - z(y). Suppose x(k) = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**2 - 5\/24*b**4 - 1\/15*b**5 + 0*b + 0*b**3 + 16. Let w(n) = -n. Determine w(u(h)).\nAnswer: 4*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -477 less than 0.1?\nAnswer: 477.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 2*i - 2)*(-1 + i + 1).\nAnswer: -2*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2531988.2 rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 9*k + 6. Let r(c) = 2*c + 19*c**3 - 11*c**2 - 21*c**3 + 4 + c**2. Let q be r(-5). Give a(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20298.9 - -20299. Which is the fourth smallest value? (a) h (b) -5 (c) 2\/5 (d) -12\/71 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -124*w**2 - 2452*w - 8844. Determine d(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (37 - -23) + -46 + -39\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + 100 - (5 - 0) - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + sqrt(54)\/sqrt(3) + (sqrt(16)\/sqrt(128))**2.\nAnswer: 1\/8 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*j**2 + 249*j**2 + 69*j**2.\nAnswer: 992*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1147225, 2294436, 3441647, 4588858, 5736069, 6883280?\nAnswer: 8030491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**5\/g*g)**10\/(g**(3\/2)*g**2\/g*(g\/((g**(-1\/2)*g)\/g)*g)**(-37)) assuming g is positive.\nAnswer: g**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**3 - 4*a**2 + 31. Let s be d(6). Let v = s - 689. What are the prime factors of v?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2609896 by -7957.\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1089, 11772, 40757, 97194, 190233?\nAnswer: 329024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + k**2 - 2*k**3 - 4*k**2 + k - 4 + 2 - 2 to o*k**2 + d*k + f*k**3 + m and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5874 times -704.4\nAnswer: 413.76456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 - -111. Let u = -3.9 + -24.1. Let z = -30 - u. What is the nearest to -2\/7 in t, z, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 8:10 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42149 and 1.\nAnswer: 42149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 0)*(1 - 2*i**4 - 1) + (-6*i - 3*i**2 + 6*i)*(0*i**2 + i**2 + 0*i**2) + 4*i**2 + 2*i**4 - 4*i**2 - 7*i**4 + 2*i**4 + 3*i**4.\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, -0.3, -21, -1, 5 in decreasing order.\nAnswer: 19, 5, -0.3, -1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(36)\/sqrt(100) - sqrt(9)))\/(5*-1*sqrt(3)).\nAnswer: -sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**26\/l*l*l\/l**25)**(4\/7))**(-2\/35) assuming l is positive.\nAnswer: l**(-16\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 193200 and 1304100.\nAnswer: 5216400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*h - 2*h = -10129, x - 5063 = h. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*v = 2778, 6*v + 1730 = 4*d - 1972. What is the remainder when d is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3700852\nAnswer: -1\/1850426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:54 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/30 + v**4\/12 - v**3\/6 + 13*v**2. Suppose 0 = 3*f - 5*h - 16, 2*h - 22 = 5*f - 36. What is r(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 2*l. Let m(u) = u + 1 - 1. Let q = -11 - 9. Let i = q - -18. Give i*m(x) + t(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1)**(-48)\/((y\/(y\/(y*y*y**6*y)*y))\/y**0) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 832\/(-442) - (-4)\/(-34) - -9. Solve 0 = -a*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18 + 15)\/((-6)\/4). Suppose 0*y = -d*z + 2*y + 932, 3*y - 1422 = -3*z. What are the prime factors of z?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)*d**(-4\/3) assuming d is positive.\nAnswer: d**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/6)\/(15\/(-10)). Suppose 10*o + n*o = 1001. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.4 + 0.4. Let u = 8.55 + -4.65. Let j = c + u. Which is smaller: j or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 = -3*x. Let p(u) = -u**x + 6*u + 2 + 6 + u + u. Does 10 divide p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -5. Is 2 - x - -3 - -119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2905 - -2906.602. Round a to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*h**6*m**3 - 2*h**6 + 3*h**2 + h*m**2 - 7*m**3 wrt h?\nAnswer: -2400*h**3*m**3 - 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683464 a multiple of 1304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**3 - 57*k**2 - 19*k - 23. What is the hundreds digit of l(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-25)\/5))\/(11\/(-440)*5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 1) + -47 + -14 + -3 - (5 + -1).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*b - 19598 = 125*b - 4*d, 3*b - 29391 = -5*d. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17740*r**4*z + r**2 - 9231*r*z + z wrt r?\nAnswer: -212880*r**2*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, e: 7, x: 2}. What is prob of picking 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19710 and 90120?\nAnswer: 59208840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = -3*g - 2*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d + 18751 = 37*d - 2*r, -4*r = -5*d + 93761. Does 47 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 22*p = -17*p. What is the nearest to p in -4, 5, 0.7, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39991700 divided by 228524?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -14*j + 10*j. Let u(p) = 58*p - 22. What is the hundreds digit of u(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 104. Is 4146\/(-54)*-15 - c\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11 = -3*d, 5*d + 7*s = 4*s + 27. Suppose 4*l = -4*g - 17 + 9, -5*l = d*g + 14. Solve -5*o + g*p - 36 = -2*p, 5*p = -4*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.01, 15\/4, 1092?\nAnswer: 1092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/8 + (-385)\/(-1100).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/14 + (-5)\/(-2). Let h = 5 - a. What is the highest common factor of h and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {g: 8, r: 5}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615720 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c + 0*c - 3*c. Let j be d(2). Let w(f) = -2*f**3 + 2*f + 1. Let m be w(-1). Solve -j*o - 11 = m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1308021 + -30860.\nAnswer: -1338881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -472*n**3 + 2*n**2 - 3113*n + 119775012 wrt n?\nAnswer: -1416*n**2 + 4*n - 3113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 at most 325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z**5\/5 - 1016*z**4\/5 - 4234*z**3\/5 - 4996*z**2\/5 - 984*z\/5 + 144 = 0.\nAnswer: -6, -1, 10\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**2 + 5*j + 1. Let h be q(6). Suppose u + u + 3816 = 0. Let a = h - u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 95.6. Let h = u - -0.1. Round h to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**3 + 11*i**2 + 9*i - 10. Let h(w) = -3*w**3 + 7*w**2 + 6*w - 7. Let o(r) = 7*h(r) - 5*p(r). Calculate o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001010 (base 2) in base 13?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13905*o - 1 + 65*o**2 - 13905*o)*(0*o - 2*o - 3*o)*(4*o - o - 6*o) to the form l*o**2 + t*o**4 + i*o + c*o**3 + b and give t.\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36\/5 - 14\/5. Suppose -3*z - 630 = 2*z. Find the common denominator of (8\/3)\/((-12)\/z) and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*j + 1978 = 277, 3*r + j + 5079 = 0. List the prime factors of r\/(-15) + 1\/5.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1123323 (base 4) to base 8\nAnswer: 13373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-637)\/51)\/(-13).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3 and -59\/113406.\nAnswer: 113406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 + -3)\/2)\/5. What is the nearest to -1 in o, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3*j + j + 4*j - 5*j + 2*j + (3 + 1 - 2)*(-1 + 2*j + 1) + 36 - 10*j - 14 - 14.\nAnswer: -4*j + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.1. Let d = -11.3 + -3.7. Let u = d - -19. Which is the smallest value? (a) -5 (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 7*a = 72, -17*n + 4 = -13*n + 4*a - 52 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 + 2)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c27 + -18746?\nAnswer: -1681c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.97. Let x = n - 0.07. What is the nearest to x in 4, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9773?\nAnswer: 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2622c + 5?\nAnswer: -26227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -1119, -2577, -4619?\nAnswer: -7245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2 + 874*q - 15147 = 0?\nAnswer: -891, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*v + 3*b, 54300 = 2*v - 4*b + 54292 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292.062 - -292. Sort 1, -3, n in descending order.\nAnswer: 1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-180\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6*-82 - (3 + -4) and 161\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2))\/sqrt(5) - (1*sqrt(121))\/sqrt(11) - ((sqrt(44) - (sqrt(44) + sqrt(132)\/sqrt(3))*6) + sqrt(44))\/(1*sqrt(12)\/sqrt(3)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 8*k + 3. What is a(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a + 23. Let x be k(6). Suppose 3*n - 70 = x*n. Let m = -35 - n. Solve -5*s - 25 = -m*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -452*s - 11. Let c(g) = -90*g - 2. Determine -22*c(p) + 4*w(p).\nAnswer: 172*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*u = -6 + 15, -4*u + 17 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296119 (base 12) to base 13.\nAnswer: 1b434a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3046645 (base 8) to base 15.\nAnswer: 10dd8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 335 divided by 218836\nAnswer: 335\/218836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.93. Let o = -0.07052 - z. Round o to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1799 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (171\/18)\/(2\/(-4) + 1). Let p = 37 - y. Calculate the smallest common multiple of 39 and p.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 4\/181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 15\/2*m**2 + m + 1. Determine v(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 189*i**2 - 5*i - 10. Let o(u) = 194*u**2 - 4*u - 7. What is -4*a(z) + 5*o(z)?\nAnswer: 214*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**3 + 3*k**2 + 8*k + 9. Let m be r(-4). Let y(b) = m*b + 35 - 25 + 48. Is y(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 118481 + 58?\nAnswer: 118529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 529297, 1058597, 1587897, 2117197, 2646497?\n\"Answer: 529300*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1774713, -1774693, -1774673?\n\"Answer: 20*s - 1774733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.8 - 27306.0556\nAnswer: -27302.2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f - 174. Let j be h(10). Find the common denominator of (-65 - 2)*(-2)\/66 and (-205)\/j*-1 - -6.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csc when three letters picked without replacement from {c: 2, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxxxmzxzxxxmzxx. Give prob of sequence xxxz.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c15c - -7231?\nAnswer: 16390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**5\/120 + l**4\/36 + l**3\/9 - 6*l**2 - 3*l. Let v(x) be the first derivative of f(x). What is o in v(o) = 0?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -28*q + 142, -4*k + 5*q - 2291 + 2258 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627678 is divided by 1768.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0047 and 0.08?\nAnswer: 0.000376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 244 + 5?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 105?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = 0, -5*i + 1 = 2*v - 2*i. Solve 3*r = -3*t - 9, -3*t + 3*r - 15 = v*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/33)\/((-1)\/((-11)\/(-12))*3373\/6746).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 39*a + 42. Let n(x) = 81*x + 100. Determine -2*n(c) + 5*r(c).\nAnswer: 33*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 111*o**2 - 1624*o - 328. Calculate the remainder when r(-94) is divided by 118.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.4. Let m = -9.2 - -10. Let p = t - m. What is the biggest value in -3, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeejgggeejjeggjgg. Give prob of sequence gj.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383.434 kilometers to meters.\nAnswer: 383434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/15)\/(356\/(-267)). Which is the closest to 308? (a) s (b) 1\/6 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517061213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 + 2*n**3)*(-18*n**2 - 96 + 96).\nAnswer: -36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*w + 36*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1147, 1203, 1303, 1453, 1659, 1927, 2263, 2673?\nAnswer: 3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 + 35*v**2 - 3*v + 1. Let u(t) = -11*t**3 + 105*t**2 - 10*t + 4. Give 7*s(i) - 2*u(i).\nAnswer: i**3 + 35*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 - 310. Let x = 254 + u. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58657526862 - -5?\nAnswer: 5.58657526862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-2))\/(1080\/432).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 39*f**2 - 166*f - 170. Give r(34).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 5*p - 13. Let t be y(-7). Let a = 44\/5 + -122\/15. Is a at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r - 137 = 178. Let l(c) = -13*c + 8. Let j(n) = 6*n - 4. Calculate r*j(d) + 3*l(d).\nAnswer: 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5042286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -228.52, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -4, 3, -13\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -5\/6*z**3 - 66*z**2 + 0*z + 0 - 29\/40*z**5 - 71\/48*z**4 + 19\/30*z**6 + 4\/105*z**7. Find l, given that r(l) = 0.\nAnswer: -10, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j + 1. Let d be a(3). Suppose -p - d = -36. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -2\/5 (b) -5 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) 1\/10 (c) -2 (d) 8 (e) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 20 - 17)*(9*y + 2 + 12*y - 5*y - y**2).\nAnswer: 15*y**2 - 240*y - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18898788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j + 3*j + 4*j + (-12 - 1 + 2)*(0*j + j + j) to the form f + q*j and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 3*w**3 + 11*w**4 + w**2 + 13*w**4 - 32*w**4 + 10*w**4 to d + o*w**3 + t*w + r*w**4 + g*w**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19.55 in 0.4, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 1, h: 1, r: 1}. Give prob of picking 1 k, 1 y, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -4, 2, -73 in increasing order.\nAnswer: -75, -73, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 9. Is -5 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2603 + -2607. Let u(y) = 8*y**3 - 2*y**2 - y. Let i be u(-1). Let z be ((-1)\/(-3))\/((-1)\/i). Put 5, z, b in descending order.\nAnswer: 5, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**6\/90 + r**5\/15 + 5*r**4\/36 + r**3\/9 + 132*r + 97. Let u(n) be the first derivative of d(n). Factor u(z).\nAnswer: z*(z + 1)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 1, k: 1, n: 2, d: 2}. Give prob of sequence nk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c - 14?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204 + 349. Let q be 4\/(-5) - j\/(-25). Solve 2*d = q + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j + 1. Let o be w(-6). Let m = -77 + o. What are the prime factors of m\/(-3) - (-4)\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-18))\/(1\/(-10)))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 - 558*i + 5*i**3 + 558*i - 8 - 9*i**3.\nAnswer: 3*i**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -11863*u + 11872*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 770\/(-330)*18\/(-7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38633 and 7.\nAnswer: 38633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 36*a - 198. Let n be k(6). Let b(c) = -c**3 + 20*c**2 - 35*c + 37. Is 9 a factor of b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 7 + 4. Let p(b) = 402*b**3 + 2*b**2 - 3*b + 2. List the prime factors of p(a).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45042*r - 733198?\nAnswer: 45042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/28)\/((-4)\/(-7)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 2 + 17 + (-84 - -35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 + 4*k**4 + 0*k + 2*k - 9 - k - 2*k + 8*k**3 to o*k**4 + v*k**3 + d*k + i*k**2 + n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -10*t, 53*k - 49*k + 2*t = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, b: 1, g: 1, j: 1, r: 1}. What is prob of sequence jfgr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0 - 1 + 5*b + 2 - 2*b. Calculate m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 - 159. Sort 16, -5, f, 0.\nAnswer: -5, f, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -732.01 rounded to the nearest 10?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.72325 * 0.01.\nAnswer: 0.0172325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77916*l**2 - 1808\/7*l**3 - 7869344*l + 7791686 + 2\/7*l**4.\nAnswer: 2*(l - 301)**3*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, 29, 28, 27?\n\"Answer: -v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*a - 52, a + 14 = 3*a - 5*p. Let s = -4364 - -4366. Solve a = -5*f - 3*y, -f - 7 = -s*y - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258921491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j + j + 3*j + (-6 + 2 + 3)*(-3*j - 4*j - j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6202087*-0.03.\nAnswer: 186062.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 871 - 874. Which is the biggest value? (a) 0.6 (b) s (c) -13\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from yyggyy.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 678046471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16535, 16537, 16541, 16547, 16555, 16565?\nAnswer: 16577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*(216\/(-9))\/(-12)*892\/4683\nAnswer: -16\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, w: 1, q: 2, t: 1, s: 2}. What is prob of picking 2 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let c = -2 - -2. Let h = -401.9 + 401. What is the biggest value in r, c, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*u - 68*u + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 12 + -1 + -103 + 52 + 75.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943638 is divided by 943598?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-21))\/((-6)\/(-42)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7550 + 13202. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 8\/2 + 0. Suppose -4*v - 47000 - 19800 = t. What is v rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l - 4876. Let p(v) = -35*v - 3. Give o(p(k)).\nAnswer: -175*k - 4891","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8 - (-72)\/(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12*i + 8*i - 23 = 0, -w + 4*i = -13. Solve -20 = -b - 3*k, -w*b + 4*k = 6 - 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 54 - (7 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -168 (b) 0.5 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1329912 divided by 664956.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 245.1019 meters?\nAnswer: 245101.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 476\/(-154) - 6\/(-66). Which is the closest to -0.4? (a) 1\/4 (b) 1 (c) o (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568749.05 less than -0.467?\nAnswer: -568749.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/49434*-22*(-1)\/2?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 + 3*q**5 + 5*q**5)*(-3 + 3 + 1).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142 by 1450.\nAnswer: -71\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1309100, 1309099, 1309098, 1309097?\nAnswer: 1309096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -13. Suppose h*s = -2*j + 4*j + 1740004, -4*s = -5*j - 4350004. Round j to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -2*k**2 + 9*k + 3. Let y(x) = 2*x - 4. Let b = -33 - -37. Determine b*q(t) + 9*y(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3*y**4\/2 - 3*y**3 + 9*y**2\/2 - 9*y + 101. Let m(o) = 3*o**3 + 5*o**2 - 5*o + 5. Calculate 5*d(i) + 9*m(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*f = 221*f - 3*x + 36, -4*f - 9 - 26 = -2*x - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*g. Let d = 10 - 5. Solve -d*q = -g*f - 10, q + 4 = 3*q + f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-9))\/((-5)\/((-100)\/(-10))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from {a: 2, v: 5, j: 4, u: 1, n: 2, z: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 341920650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:42 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((12\/(-42) - 0)\/2). What is the greatest common factor of 2002 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**2. Let g(d) = -42*d**2. Let k be ((-168)\/(-140))\/(2\/(-25)). What is k*c(a) - 2*g(a)?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*q - y, -5*y - 67 = 2*q - 60 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 6*d - d)*(80*d**2 + 5 - 200*d**2 + 2*d + 110*d**2) - d**3 - 1 + 1.\nAnswer: -81*d**3 + 16*d**2 + 40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 16 - 0. Let t = -16 + a. Find c, given that 2\/7*c + 2\/7*c**2 + t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -9 - 27. Let z be 318\/(-27) + (-4)\/h. Let p be 103\/3 + z\/(-18). Calculate the highest common factor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 20. Suppose l + 3*a - 20 = 0, l + 4*a = -2*l + 35. Suppose 6 = -0*m + m - v, l*v = 0. Calculate the least common multiple of q(0) and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2623 = -7*x + 28 + 4706. Calculate the remainder when x is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8605093 litres in millilitres?\nAnswer: 860.5093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7941954 (base 10) to base 13\nAnswer: -1850ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -63*n - 11. Let c be r(-5). Calculate the greatest common divisor of 38 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d + 3 - 12*d - 18*d. Let t be x(-3). What is the remainder when 52 is divided by 3\/2 - t\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293688870 divided by -48948145?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:31 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -339154 - 13946. Is f + 19 + -6 - (1 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-110*g - 147*g + 64*g)*(-152 + g**2 + 81 + 82) to m*g + r*g**3 + x*g**2 + n and give m.\nAnswer: -2123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*j - 3 + 13 = 0, 0 = -2*k + 5*j - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/38 and -11\/368.\nAnswer: 6992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4708 (base 12) to base 6.\nAnswer: 100412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.1 + 22. Let a = j - 1. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 11*t + 20. Let u be ((-5)\/(-1))\/(6 - t). Sort -2, u, -1 in decreasing order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011275 (base 10) to base 13.\nAnswer: 555606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -373 + -6378856907?\nAnswer: -6378857280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 11}. Give prob of picking 1 o and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 2*n**2 - 2*n - 7. Let c be f(6). Let y(p) = p**2 - p + 258. Let l be y(0). Let v = l + c. What is v rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 + 5*k - 2. Suppose 3*x = 3*y - 27, -3*x = 2*y + 6 + 6. What are the prime factors of j(x)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 39 (b) -1\/2 (c) 6\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196058 is divided by 2723.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 7*w - 1. Let l(b) = -b**2 + 4*b + 3. Calculate l(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by -5138.\nAnswer: 68\/2569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 26. Let q be (8\/56)\/((-4)\/y). Which is the closest to q? (a) 5 (b) 1\/6 (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 745648, 1491296, 2236944, 2982592?\n\"Answer: 745648*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -2.5. Let q = 151 - 149.26. Let w = q + -0.74. What is the second smallest value in p, 4, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i + 2*i)*(i - i + i)*(-1 + 1 - 2 + (4 - 1 - 5)*(2 + 2 - 2) - 3 + 6 - 2 - 2 + 3 + 1).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.425 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(504)\/sqrt(32)*-6)**2.\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v = -99*v + 5*q, 2*v = -5*q - 12 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1256859 - 3396124. Suppose -4*d + 3038530 = -2*i, -3*d = -4*i - 1490069 - 4586991. Let p = i - v. What is p rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 0*y**2 + 3 - 2*y**2 - 21.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504337 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 176*q - 172*q + 3*r - 117, 2*q - r + 64 = r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 - 106. Let v = -94 + j. Let y(r) = -r - 7. What is y(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17951 (b) -9 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (67 - 30) + -97.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 4*x**3 - 5*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-65))\/(2\/15*-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.257 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 4*y + y. Let c(v) be the first derivative of v**5\/60 + 2*v**2 - 2. Let o(n) be the second derivative of c(n). Give k(o(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -0*w - w - 4*k, -4*w - 2*k = 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000038844951 to 7 decimal places.\nAnswer: 0.0000388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5\/2 - 223*v**4\/2 + 159*v**3\/2 + 663*v**2\/2 - 448*v + 150 = 0. Calculate v.\nAnswer: -75, -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 8. Let v(b) = 12 + 3*b + 6*b + 2 - 12 + 3*b**2 + 19. Does 4 divide v(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 8*y - 1. Let r be g(-8). What are the prime factors of (r + -7)*(-4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**5 - 165545*y**4 + 116931675*y**3 - 20990167355*y**2 + 41630201840*y - 20756800620 = 0. Calculate y.\nAnswer: 1, 358, 32391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 621 divide 2200203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**5\/20 - y**4\/2 + y**3\/6 + 9*y**2\/2 - 9*y. Let t be d(-6). Solve -q - t*o = -6 - 5, 2*q + 6 = o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2717, 0, -5, 0.3, 2, -0.0554, -2?\nAnswer: -0.0554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7a (base 16) to base 3\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 4713.\nAnswer: 4712.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 106\/(-34)) + 136\/(-1156). Let u = 0.8 + -1. What is the closest to u in l, 11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2225346, -2225340, -2225320, -2225280, -2225214, -2225116, -2224980?\n\"Answer: u**3 + u**2 - 4*u - 2225344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 24. Determine t(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1141\/21 - 4\/(-6). Suppose 3*l + 2 + 0 = 4*u, -5*l - 5*u = -x. Find the third derivative of -l*a**6 + 3*a**6 + a**6 + 2*a**2 - 6*a**2 wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*i - 90*i - 393 - 1319 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - 423*p + 10919. Calculate y(107).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-15)\/(-50).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpwktwpttww. What is prob of sequence wkw?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 24*g**2 + 29*g - 96. Let p be h(25). Sort 1, -1, 5, 9, p in decreasing order.\nAnswer: 9, 5, p, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 - 7 - -3 - (-8 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 4, 5, 958?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3460 and 1260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9616201, -19232453, -28848705, -38464957, -48081209?\nAnswer: -57697461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/116 and 52\/319?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1162)\/830*24\/28)\/((-52)\/30).\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*w = -21. Calculate the common denominator of ((-27)\/(-12))\/(w\/24) and 19\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-1))\/(180\/24))\/(18\/5)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (-6 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133711.99930883 - -133712. Round i to five dps.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 15. Let k(r) = -r - 16. Let c(g) = 5*d(g) + 4*k(g). Let q be c(-7). Suppose 5*m + q*f = 779, -m = -f + 5*f - 143. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(432)*1 + sqrt(108)\/sqrt(16) + 3.\nAnswer: 1 + 27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2033832*b**4 - 3*b**3 + 4352944 wrt b.\nAnswer: -8135328*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -124009581 at least as big as -124009581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5 - 4*m - 6 + 51*m**2 + 9 + 2*m. Suppose -10*o + 7*o - 3 = 0. What are the prime factors of b(o)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (3 + -5) - (-4 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 82 = 3*l + s, -90 = -l - 3*s. Suppose -4*u + p + l = -p, -5*u - 3*p = -70. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 47*d**2 + 4*d - 4. What is the units digit of h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -2*c**5\/95 - 3*c**4\/19 - 8*c**3\/19 - 8*c**2\/19 + 180. Find z such that t(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212\/(-6)*(-363)\/22.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*u**3 - 834*u - 506597 wrt u.\nAnswer: -384*u**2 - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156750 rounded to the nearest 1000?\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {o: 5, b: 5, k: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 5*l + 6. Suppose x + 3*i = -x - 5, 4*i - 16 = 3*x. What is the smallest common multiple of 3 and z(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, r: 1, w: 6, d: 1}. Give prob of sequence rd.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 5*r**2 - 3*r - 3. Determine o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-39)\/130)\/((-2)\/(-4))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348 = -152*k + 210*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.96021km to centimeters.\nAnswer: 796021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 5 + 33 - 3*p to l + k*p and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 13209*r**2 + 26417*r\/2.\nAnswer: r*(r + 1)*(r + 26417)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-312)\/390*15\/(-234)*-3. Which is the smallest value? (a) 17 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 131*n**2 - 293*n + 56. What is i(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36996*c**3 + 18841*c**2 wrt c?\nAnswer: 221976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -0.2. Let s = -0.1 - c. Let j = -56640.2 - -56637. Do s and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + (4*(-1 + sqrt(1900)) + sqrt(1900) - (1*sqrt(1900)*2 - sqrt(1900)))*2 + -3)**2 + -5.\nAnswer: -2080*sqrt(19) + 121764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) 2\/405 (c) 1\/2 (d) -19.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 0. Let c be (0 + (-1)\/l)*2. Let w be (-12)\/(-56)*2 + (-85)\/35. What is the closest to c in -1\/5, w, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4263 - -4444. What is the remainder when 768 is divided by r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -25.00000019. What is l rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 10*r + 4. What is the third derivative of -5*f**2 + r + 3 + 5*f**5 - 5 wrt f?\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 32*r - 29. Let b = 101 + -98. Let d be (-2)\/3*b\/2 - 16. Let j be z(d). Sort -4, j, -2 in decreasing order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 4)\/((-1)\/(-31)). Let l = q - 16. Calculate the greatest common factor of 75 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 20*i**2 - 53*i + 36. Determine c(22).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)\/u)**10*u**(2\/3)\/(u*u*(u**(1\/17)*u)\/u) assuming u is positive.\nAnswer: u**(-836\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -713?\nAnswer: -713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10739.999981724 + 10740. What is u rounded to 7 decimal places?\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -965\/12 + 315\/4. Which is the biggest value? (a) 0.4 (b) 0.32 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2. Let u(y) = -28922*y. Calculate u(n(g)).\nAnswer: 86766*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*c + 943*c - 15712 = 1779 + 6869 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 13\/12*t**4 + 0*t**3 - 1\/20*t**5 - 8*t + 0 + 9\/2*t**2. What are the prime factors of f(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 25600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7447119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*q = -109*q - 56 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w - 15. What is the greatest common factor of w and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38350084.\nAnswer: 2, 107, 89603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 0. Suppose 0 = -5*i + 15, -5*j - i - 36 = -2*j. Let h(t) = -t - 12. Let z be h(j). Solve g*w - z = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.98 + -0.02. Let u = x - -8.8. Is -2 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhihjhihhrlhliw. Give prob of picking 3 l and 1 h.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16873.99990057 - 16874. What is y rounded to 6 dps?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-12))\/(i*i*i\/i**(1\/3)))**(-14)*(i**(-1)*i*i)**32*i**(1\/4)\/i**(-1) assuming i is positive.\nAnswer: i**(-1337\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25472.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 16*v + 18 = 0. Solve 4*p - 2 - v = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.918703us in seconds?\nAnswer: 0.000005918703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2. Let z be c(2). Suppose -3*w + 9 = -6*w, -4*b = -4*w - z. Solve b*v - 6*v = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) - 27\/(-6). Suppose 3 = -7*y + q*y. Let j = y - -23. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 282, 8, -4, 0 in ascending order.\nAnswer: -4, 0, 8, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -715, -628, -531, -418, -283, -120, 77, 314?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 3*d + 5, 2*d = 5*i - 8. Let b = -9 + 19\/2. Find k, given that -1\/4 + 1\/4*k**i - b*k + 1\/2*k**3 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 0, 2, 10, -4, -25 in decreasing order.\nAnswer: 10, 2, 0, -4, -25, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3 = -3*v, -4*v = 3*q + 5 + 5. Let w(y) = 56*y**2 + 2*y - 1. Calculate the remainder when w(q) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/9)*a)\/a)**(-1\/58))**(-10) assuming a is positive.\nAnswer: a**(-10\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1234343 - 7*z**3 - 2468721 + 1234378.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 2*q + 5, 8*i - 20 = 12*i + 2*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80506062 divided by -229362.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/32 + 15395\/(-40). Let v = x + 591. Calculate the remainder when v is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*z - 15*z + 166 = 0, 12*k - 3*z = 14*k - 43 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13*u + 76 - 34 - 42. Let t(q) = -9*q. Let j = 11 - 4. Let f(p) = j*t(p) - 5*z(p). Let b(x) = 3*x. Determine f(b(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-18)\/10)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58931a4 - 3?\nAnswer: -58931a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1942 - 1942. Is u at least 126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c - 26. What is o(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 226, -4, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13990, -13985, -13972, -13945, -13898?\n\"Answer: f**3 - 2*f**2 + 4*f - 13993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/977?\nAnswer: 6\/977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -38. Let v be z*4\/(3 - 1). Solve -n - v*n = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or -1271\/7?\nAnswer: -1271\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94948631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)*q*q**(-4))\/(q**(-1\/2))**(5\/2) assuming q is positive.\nAnswer: q**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*z + 2*z + 5, f + 3 = -5*z. Let r(w) = w**2 - 1. Let d be r(f). Find the second derivative of 4*c**4 - 4*c + 3*c**4 - c**d + c**3 wrt c.\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 53. Suppose 33*u - 75 = f*u. Solve -u*j + 2*j - 3 = 0, 5*r - 2*j = -14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39890507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -274674, -274754, -274834, -274914, -274994?\n\"Answer: -80*u - 274594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*h - 3126 = 169*h. List the prime factors of h.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5672, 5682, 5692, 5702?\n\"Answer: 10*q + 5662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 109425621 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 428 and 49006.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -14*s + 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 4 + -2)*1. Let d(q) = 4*q + 4. Let m(f) = 17*f + 17. Determine r*m(b) - 26*d(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8549 and 11122?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 + 10.8. Let p = u + -12.9993. What is p rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 + -114.91. Let d = 1.89 - -0.11. Let x = 634 + -634. Which is the nearest to x? (a) y (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 7, b: 2}. What is prob of picking 1 j, 1 f, and 1 b?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2144 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 13) to base 8.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 + 56 + 17*n - 17*n.\nAnswer: 11*n**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.761079 - 1.7516. Round z to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 3\/10*g**5 - g - 2\/3*g**3 - 11\/12*g**4 + 2*g**2 + 0 + 3\/10*g**6. Factor p(d).\nAnswer: (d + 1)**2*(3*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2. Let x(a) be the second derivative of a**6\/360 + a**4\/3 + 2*a. Let v(i) be the third derivative of x(i). Calculate g(v(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/1309*7*4\/4\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 43. Let y = -28 - -28.2. Which is the nearest to n? (a) -0.1 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22 + -8 - (-3 + -1). Let d be 306\/81 + 4\/b. Suppose 0*j = -2*j - d, 0 = -v + 5*j + 40. Calculate the greatest common divisor of v and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 25*q. Let c be u(-11). Calculate the greatest common divisor of c and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1076 times -4\nAnswer: -4304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -45*g**4 + 116304675*g**3 + 193841215*g**2 + 90459245*g + 12922750 = 0.\nAnswer: -1, -1\/3, 2584550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -222312301 (base 4) in base 11?\nAnswer: -10a97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*g - 25*g = 361*g - 85*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(176\/(-24)))\/((-5)\/2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2138 - 1.218841. Round g to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157680 and 6405750?\nAnswer: 51246000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/(-15))\/(4\/(-30))*(-60)\/9. Are -46 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163721.\nAnswer: 7, 103, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 16596?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + m + 124. Let r be g(11). Solve -19*i = -r*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 666107, 666091, 666025, 665879, 665623, 665227?\nAnswer: 664661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 25*w**3\/3 + 299*w**2\/2 - 1821*w. Determine v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -5*b + 10, 1441*b + 40*p = 1445*b + 176 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722107451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 475897550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 8519814?\nAnswer: 119277396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 29 = -169*u + 171*u, -3*j = 4*u + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -28.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + y - 4*y. Let g(d) = 122*d**2 - 167*d**2 + 23*d**2. Give g(n(o)).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26649809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8 = 0, -15*c + 13*c + 12 = -66*a + 70*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320 + -595. Let f be ((-11)\/(g\/30))\/(3\/(-20)). Let h(n) = -n**2 - 11*n + 6. What are the prime factors of h(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1. Let v = i + 5. Suppose -v = -2*g + 2. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 117252 = -24*a. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 27. Let u = -25 + z. List the prime factors of u\/7*(-4 - 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*j + 5635 = -1483*j + 682*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n. Let t(u) = -4 + 7 - 3 + 2*u**2. What is t(c(l))?\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46171 - -1?\nAnswer: 46172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 43, -228, -102 in ascending order.\nAnswer: -228, -102, 0, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 22. Let p(k) = -k + 33. Let r(n) = n**2 - 80*n - 329. Let u be r(-4). Give u*m(a) - 5*p(a).\nAnswer: -2*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2*b + 17, b + 8 = 2*v + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l - 3*l + 6*l + (-3 + 0 + 4)*(26*l + 4 - 4) to v*l + u and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 1. Let d(q) = 2*q**2 + 18*q - 28. Let h(z) = 2*d(z) - 4*p(z). List the prime factors of h(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 19*p - 490. Let l be a(26). Solve 0 = -2*q - 2, -2*t = 3*t + q - l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101952 is divided by 143?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(4\/11)*v))\/(v*v**(1\/8)*v*v))**(-9\/2)\/(((v*v*v**(2\/5))\/v)**(-8\/11))**(-2\/19) assuming v is positive.\nAnswer: v**(185453\/16720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-71133521.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2)\/r*r)\/(r*r**7)*(r**(1\/2))**(-21) assuming r is positive.\nAnswer: r**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 36 = -2*o + 4*r, -5*o + 33 = -2*r. Suppose 3*u - o*u = -208. What is the highest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -50d68?\nAnswer: -50d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from zzyiya.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = -c + 4*c, 4*t + 12 = c. Calculate the smallest common multiple of 7 and (t\/(-2))\/((-6)\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436 a factor of 142540104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let l(c) be the third derivative of 29*c**5\/60 - 17*c**2. Calculate l(q(j)).\nAnswer: 116*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 340 = 5*v, -5*v + 0*v + 4*w - 341 = 0. Let o = 968 + -3777\/4. What is the common denominator of (v\/(-150))\/((-12)\/(-30)) and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + y. Let u(l) = -3*l**2 - 5*l + 13. Let k(n) = u(n) - 4*w(n). What is the remainder when 12 is divided by k(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**32\/(k**33\/k))\/(k**(-21)\/k*k*(k*k\/k**(-1\/21))\/k))**(-1\/5) assuming k is positive.\nAnswer: k**(-419\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 - 14162?\nAnswer: -14213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46812.\nAnswer: 2, 3, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1037 - -263?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((168\/(-14))\/(-468))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2.1, 3753, -0.4, -1484 in increasing order.\nAnswer: -1484, -2.1, -0.4, 3, 3753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 - 12\/(-8)) + -1)*0. Let q(a) be the second derivative of 0 + 0*a**2 + 1\/66*a**4 - 4*a + m*a**3. Factor q(p).\nAnswer: 2*p**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126649050 divided by 844327.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.057\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 929.\nAnswer: 2\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 24*p - 49. Calculate the smallest common multiple of f(-26) and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-116))\/((-23 - -39) + -22)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -5*(sqrt(77) - (sqrt(77) - (sqrt(77)*5 - sqrt(77) - sqrt(77)))))\/(sqrt(21)\/(2*sqrt(3))).\nAnswer: -28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 1:52 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-6)*r*r)\/((r\/r**10)\/r*r))\/(((r\/(r**(3\/2)*r*r))\/r)\/r*r*r*r*r*r**3*r))**(1\/15) assuming r is positive.\nAnswer: r**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 2, c: 1, l: 3, d: 1, x: 8}. What is prob of picking 1 c and 2 l?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-10)*(-16)\/2. Let d = 8.69 - 6.69. Let g(x) = -x**3 - 6*x**2 - 6*x. Let n be g(-5). Which is the nearest to 0? (a) j (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5616 divided by -8\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1534566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6*y = 5*t + 30, -4*y = -2*t - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1463.9419 rounded to the nearest 10?\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -634, -1393, -2440, -3769?\nAnswer: -5374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 26.9. Let r = 0.055 - -1.045. Let i = r + q. What is the closest to 0 in 0.2, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/168*2\/(-24)*624\/117.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -50*x - 625. Determine o(-13).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 11:32 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45341, -90092, -134843, -179594, -224345?\n\"Answer: -44751*r - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51679.08 millennia in centuries?\nAnswer: 516790.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252050 (base 14) to base 12.\nAnswer: -514a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 m when three letters picked without replacement from crmbrrrm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75126\/(-5931)*2\/(-4)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8230 (base 12) to base 10\nAnswer: -14148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 3. Let o be y(6). Let i be 1\/(-2 + 1) - -4. What is the units digit of (5\/i)\/(o\/81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18480 - -10335. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -7 (c) -1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, i: 1, l: 1, c: 5, p: 1}. What is prob of sequence icp?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*v + 93*v + 676. What is the remainder when 120 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 151. Let o(v) = -1378*v**2. Calculate c(o(j)).\nAnswer: -2756*j**2 - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-39*1)\/(-1). Let q be 208 + (1\/(-3))\/((3 - 12)\/(-81)). What is the highest common divisor of m and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121545.\nAnswer: 3, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 208388 divided by -4?\nAnswer: -52097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 173*k + 35 = -170*k, -4*k = m + 30 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5\/3 + 754*n**4\/3 + 2272*n**3\/3 - 754*n**2\/3 - 757*n = 0.\nAnswer: -3, -1, 0, 1, 757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 494, -6, -5 in descending order.\nAnswer: 494, 4, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**4 + 13*a**3 - 35*a**2 - 77*a + 92. Let i(x) = -x**4 - x**3 - x + 1. Let f(j) = 2*i(j) - n(j). Find v, given that f(v) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 4 (c) 15\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/6 - (-11)\/((-1089)\/11)*-3. Solve -4*m = -9*w + 8*w - 4, 2*m - 2 = -g*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**3 - 2679*a**2 + 5*a + 14389 wrt a?\nAnswer: -9*a**2 - 5358*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*3 + sqrt(11) - (-3*sqrt(11) + 3) - ((sqrt(99) - (sqrt(99) - (sqrt(99) + 3))) + sqrt(11) + -3 + 3 + sqrt(11))) + 0)**2.\nAnswer: -168*sqrt(11) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 1:48 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/368 and 38.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*f + 2925, -3*m = 7*f - 2*f - 1751. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 = h + 2*g, -h - 3*g + 2 = 0. Let j = h - -2. Differentiate -j*s**3 + 1 - 2*s**3 + 5*s**3 with respect to s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 2*i**2 + 2*i. Calculate u(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 609 + -603. Let w = -70 + 115. What is the smallest common multiple of w and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94335 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*v**3 - 59*v**3 + 191*v**3 - 67*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*o - 5, -4*o + 0*o + x + 1 = 0. Calculate the common denominator of -4 - o - ((-306)\/48 + 5) and (-683)\/(-36) + (-4)\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37389\/5 + 100207\/15. Let d = p + 781. Find the common denominator of 131\/6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 403 - -15042325?\nAnswer: 15043132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10324 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(-6\/17))**(-32)*((o**(1\/3)*o*o)**(1\/45))**(4\/11) assuming o is positive.\nAnswer: o**(-113572\/25245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -9\/1552510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 30*j + 37. Let c be d(-11). Let k = c - -417. Solve -k*w = -5 - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - l - 2. Let g be p(-2). Suppose -i = g*i - 55. Suppose 0*k - 20 = -k. Calculate the remainder when k is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 12*w**2 + 12*w - 14. Let m be s(11). What is the second smallest value in m, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 76 = 4*b, 3*v + 2*v - 5*b = 175. Let l(r) = -r. Calculate the remainder when v is divided by l(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 49.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-3)*(-666)\/444)\/(-4 - 0). Let r be -2*((-27)\/(-2) + 2). Put i, -1, -4, r in ascending order.\nAnswer: r, -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747930310?\nAnswer: 2, 5, 74793031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = u - 6, 13 = 2*l + u + 2. Let z(k) = 2*k + 1. What are the prime factors of z(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2265*l + 252*l**2 - 2265*l.\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7907132 micrograms to milligrams.\nAnswer: 0.0007907132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26325512 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - m = 5*j + 104, 0 = -3*j - 4*m + 97. What is the remainder when j is divided by (1 - 3)\/(-2)*15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.8, -0.3, 1 in decreasing order.\nAnswer: 1, 0.8, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 5*i = 2. Let a be (i - -21)*6\/4. Let b be (50\/a)\/(2\/12). Solve -3*j + 2*g = -b, 3*g - 5*g + 22 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-4*p + 3*p - 2*p) - 2*p + 4*p - p + (0 - 1 - 1)*(-4*p + 3*p + 0*p) + 2*p - p + 0*p - 2 - 2*p + 2.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = -2*n, 0*q + 3*q - 3*n - 6 = 0. Suppose 0 = v - 5*v - q*u + 737, 0 = -3*v - 3*u + 549. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58536365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7913, -15895, -23877?\n\"Answer: -7982*p + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6060086 - 2373821\nAnswer: -8433907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -6, 0 in increasing order.\nAnswer: -6, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 105*i + 100*i - 2947 = 0, 2*m - 1923 = -5*i. Is 974 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + x = -4 - 1, 10 = -3*b - 2*x. Suppose b = 4*j + j - 115. Let q = j - 12. 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 y + 5*q = 36, 29 = 2*y + 5*q - 18. Let p(z) = z**3 - 12*z**2 + 12*z + 6. List the prime factors of p(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -168 (c) -15\/2 (d) -1\/4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -56260 * -1.426\nAnswer: 80226.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -2*l - 6*f + 18, 2*l - 5*f = 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5066*i + 4972. Give r(-1).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 56\/(-30)) + 1. Let p(i) = i**2 - 4*i - 1. Let o be (0 - -1)*8\/2. Let y be p(o). Is y smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 560, -15.8, -4, -203, 0.3 in descending order.\nAnswer: 560, 0.3, -4, -15.8, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -14.9. Let a = l + -14.0057. Round a to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543653647 less than -46496?\nAnswer: -1543700143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 1 + 2 - sqrt(448)*1*-2)**2 + ((-1*sqrt(189)\/sqrt(3))\/(sqrt(99)\/(2*sqrt(11))))**2.\nAnswer: 144*sqrt(7) + 4069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5793298, -11586580, -17379862?\nAnswer: -23173144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s**2 + 6*s**3 + 2*s**3 - 12*s**2 + 7*s**2 to the form p*s + o*s**3 + v*s**2 + j and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11354 and 17080.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 413*g**4*w - 2*g**4 - 3*g**3*w + 94*g**2*w - 2*g*w - 3*w wrt g.\nAnswer: 9912*g*w - 48*g - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a**3 - 76*a + 76*a.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 17. Let n be s(-5). Let f be n\/(4\/5)*(-8)\/10. Suppose 26999975 = f*a + 5*m, 4*a = -0*m - 3*m + 53999985. Round a to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 3124355?\nAnswer: -3124352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12364.6 and 176.\nAnswer: -2176169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*j + 189 = -515*j + 1022*j for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130641282 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7 - 11. Suppose 0 = -13*z + 17*z - 16. What is the least common multiple of l and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*p**2 + 8*p**2 + 22*p**2 - 2*p + 5 as h*p + u + s*p**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 1\/3, -3, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 10:42 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 2. Let q be r(-3). Suppose 0 = -q*j - 0 + 5. Let m(h) = -7*h**2 + j + h**3 - 2*h**2 + h + 3*h**2 - 4. Determine m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**2 + 11*a**2 - 2*a - 4*a - 20*a + 0*a**2 in the form d*a**2 + h*a + y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 469 + 132?\nAnswer: 59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 2. Let o be y(6). Suppose -f + 3 + 1 = 0. Suppose -f*k + k - s + 16 = 0, 36 = o*k + 5*s. What is the highest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 16031573?\nAnswer: -12\/16031573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 621412 - -157?\nAnswer: 621571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyyyyyyyyye. What is prob of picking 2 y?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 7. Let s = 2 - t. Find the common denominator of s and -31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5653 and -0.1?\nAnswer: -565.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 5*n**3\/6 + 369*n**2\/2 + n - 40. Differentiate v(a) wrt a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -4, 3, -229 in decreasing order.\nAnswer: 3, 2, -4, -5, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22486, -89696, -201626, -358276, -559646, -805736, -1096546?\n\"Answer: -22360*t**2 - 130*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*t - 2, -2*p + p - 3*t = 14. Let k be (-20)\/(-20) + (-25)\/(1 + p). Solve -s + 22 = k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8030497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y + 114. Let z be p(-11). What is the closest to -5 in -22, z, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 90*k - 192.\nAnswer: 3*(k - 32)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -139.329 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -5, 4\/7, -2\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 11:57 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = -56. Suppose -4*l = n + 10. Which is bigger: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -9. Let o be (3 + -3)\/y - 26. Let f = o + 41. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -4\/9 (c) -2 (d) 1 (e) -3\/4 (f) 404 (g) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/10 and 143\/3060.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 483d?\nAnswer: -4844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**2 - 2*h - 4. Let x(b) = -b**2 - 1. Give -o(m) + 4*x(m).\nAnswer: 3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 5*l**2 - 6*l + 9. Let r be x(-6). Let m be (-6)\/(-27) + 295\/r + 2. What is the highest common factor of m and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576855481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77543 (base 9) to base 16.\nAnswer: c912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 + -1 + 0)\/((-141)\/94). Let l be 10 + -2*(-1)\/(-1). What are the prime factors of (-1089)\/m*l\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121022000 (base 3) in base 6?\nAnswer: 402043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) - 30\/(-12). Solve 2*x**q + 3*x**3 + x**2 - 3*x**4 + x**5 - 4*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b - 30. Suppose -b - 4 = n. Is 13 a factor of (-8)\/28 + (-186)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4\/5*a**3 + 4\/5*a**4 + 0*a**2 + 0 + 0*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 270*s - 6089. Give j(25).\nAnswer: 1286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737 is divided by 907.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -472*c - 7. Let i(d) = 78*d + 1. Calculate -39*i(q) - 6*x(q).\nAnswer: -210*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 139 + 2\/3 + (-52)\/(-12). Let a = f + -17. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101433*g**2*z**2 + 14*g**2 + 224*g*z**2 + 4*g*z - 28*g + z - 1 wrt g?\nAnswer: 202866*z**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(238) - sqrt(238)*1)*-4 - sqrt(238) - sqrt(238)) + sqrt(238))\/sqrt(7))\/(-2*(-6*sqrt(50) - sqrt(2))))**2.\nAnswer: 17\/3844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + y. Let a be -2 - -7*1 - y. Suppose 4 = p, -p + 1 + 3 = -a*w. Is w greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167166 + -173852721\/1040. Calculate the common denominator of u and 19\/416.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d**3 + 4*d**2 - 664*d + 1318. Let a(s) = -3*s**3 + s**2 + 5. Let g(i) = 4*a(i) - b(i). Find the first derivative of g(w) wrt w.\nAnswer: -3*w**2 + 664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 4350, 4, 5, -4 in increasing order.\nAnswer: -4, -3, 4, 5, 6, 4350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - 40\/(-12). Let f = -10319 + 10323. Sort f, -106, p.\nAnswer: -106, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/5 (b) -27311 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = s + 390. Let j(u) = 14 - 20*u**2 - 18*u**2 + 14*u**2 - s*u**2. Let t be j(-4). Round t to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(1008) + 1*sqrt(1008)*5)**2.\nAnswer: 192*sqrt(7) + 16132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*p**2 + p)*((-5 + 0 + 3)*(-3*p - p + 2*p) - 2*p + 2*p + 3*p)*(1 - 4 + 1)*(232 - 454 - 434) in the form t*p**2 + j*p + n + b*p**3 and give b.\nAnswer: 18368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*i = 123*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 40, -1 in increasing order.\nAnswer: -1, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4520, -4550, -4578, -4604, -4628, -4650?\n\"Answer: n**2 - 33*n - 4488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**3 - 5*i**2 + 5*i + 5. Let m(c) = 4*c + 3 - 4 + 4 + 1 - 4*c**3 - 4*c**2. Give -5*m(j) + 4*n(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0212 * 1.64\nAnswer: 0.034768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 71819?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -13*s + 34. Solve -4*p + s*d + 21 = -3*d, -7 = 2*p + d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g**2 - 21*g + 7. Let z be f(4). Solve 45 = -6*i + z for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/48)\/((-2)\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 11. Let z = 20.6 + -20. Let i = z + o. What is i rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -18259\/19753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11334.\nAnswer: 2, 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235233?\nAnswer: 3, 59, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19164516 and 252?\nAnswer: 57493548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*1 + 247205\/(-70)*-62 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 10 = d, 3*z - 3*d + 2*d = 2. Suppose -5 = -0*y + 5*y, z*y - 638 = -5*o. Suppose p - 5*p = -o. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 14 + 1)*(c + 0 + 2*c - 1).\nAnswer: 27*c - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 36?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-429)*18 - ((-1240)\/(-47740))\/((-1)\/7)\nAnswer: 34\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -99*u**3 + 25*u**3 + 1480 + 37*u**3 + 92*u**2 - 706*u + 35*u**3 = 0. Calculate u.\nAnswer: 4, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*n - 484, -2*n + 4 = -0. Let o = -223 - b. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2 - 88*h**4 + 0 + 77*h**4 - 106*h**4 - 43*h**4 + 2 - 161*h wrt h?\nAnswer: -3840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 28*a + 19*a - 14 - 24*a - 6*a**2. Let t(f) = -2*f**2 + 8*f - 5. Determine -11*t(p) + 4*z(p).\nAnswer: -2*p**2 + 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 248*i**5 - 945*i wrt i.\nAnswer: 4960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3540*d - 28329. What is k(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 4 + 17 - 22\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c*c*(c*c\/(c\/((c**(-3\/4)\/c*c)\/c*c)))\/c*c)\/c))**(-40))**37*(c**(1\/10)\/c**(-2\/11))**(-35) assuming c is positive.\nAnswer: c**(-24637\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/(-630))\/((-14)\/(-2772))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/30*-3)\/(((-119025)\/4968)\/(-575))\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 494*c**3 + 514*c**3 + 1997*c**3.\nAnswer: 2017*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57790 rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v. Suppose -1 = 2*x + d, 3*d + 6 = -3*x - 3. Let b(t) = -4 - 7*t**2 - 13*t**x + 4. What is s(b(g))?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.12 (b) 7 (c) 0.5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4721?\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6548, -21642, -36736, -51830, -66924, -82018?\nAnswer: -97112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, -44\/9 in descending order.\nAnswer: 24, -1, -44\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/2 + 12375*a\/2 - 6185.\nAnswer: -5*(a - 2474)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1212105 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 7:12 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 340\/9*f**3 + 116\/3*f - 76*f**2 - 4\/9 = 0. What is f?\nAnswer: 1\/85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 4071004?\nAnswer: 4071018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/4 - (13 + (-7 - -8)). Which is smaller: -85\/11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 53) + 9 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2022657*k**2*n**3 - 28618756*k**2 + 10*n**4 with respect to n.\nAnswer: -6067971*k**2*n**2 + 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12637\/2 + 6322. Let n(l) be the first derivative of h*l**4 - 35 + 0*l**2 + 21*l + 0*l**3. What is the derivative of n(m) wrt m?\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - a + 0*a + 15497*a**3 - 16310*a**3.\nAnswer: -813*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 510180 and 4642638?\nAnswer: 46426380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j + 367. Let a be m(-32). Solve -a*i + 16*i - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (171\/190)\/(126\/35). Factor f*h**2 - 1\/2*h + 0.\nAnswer: h*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/326626 and -25\/2167?\nAnswer: 3592886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*v - 18*v + 43*v + 5*v**4 wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/20 and 3\/6 + -2 + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299014.071 + 0.2733.\nAnswer: -299013.7977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -46, 3, -596146.\nAnswer: -596146, -46, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3\/(-1)*(-2)\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01997 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 18 = 3*v - 29, -4*v - 343 = -7*a + 36 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 - (-2)\/(-9). Suppose o = q - 3*q + 26. Suppose 162 = 5*a - q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19235 + 19297. What is the remainder when 6444 is divided by n?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 740, 4477, 14620, 34373, 66940, 115525?\n\"Answer: 534*j**3 - j**2 + 2*j + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*-1*sqrt(70) + sqrt(70)))\/(1*sqrt(250)*-2).\nAnswer: 18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/(-8))\/(((-54)\/(-612))\/3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77965822 and 158.\nAnswer: 6159299938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/408*-4)\/((-9)\/12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let y = 12 + -12.2. Put z, 1, y in decreasing order.\nAnswer: 1, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1594 (base 11) in base 9?\nAnswer: -2715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*n + 249, 0 = -0*n - 3*n - 2*m + 346. Let s(p) = 5*p**2 + 3*p + 2. Let o be s(-2). Calculate the highest common factor of n and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 1, j: 4, p: 4, r: 6, s: 1}. What is prob of sequence js?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*g - 6. Suppose -2*d = 3*d. Suppose d*h + g*h - 22 = 0. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7204657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82908*v**3 + 2074296*v**2 + 781184*v + 74112.\nAnswer: 4*(21*v + 4)**2*(47*v + 1158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 7*w**3\/3 + 3*w**2\/2 - 1974*w. Let d(r) = r - 1. What is d(y) + z(y)?\nAnswer: 15*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 5*q + 2. What is r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29\/57 + 3\/19. Let f = -2\/105 + 37\/105. Sort 2, k, f.\nAnswer: f, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000111001101111 + -1?\nAnswer: -1001000111001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -1, -2\/7, 0.1, -41\/7 in descending order.\nAnswer: 5, 0.3, 0.1, -2\/7, -1, -41\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(30)*1)\/(sqrt(90)*2))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 - 4\/(-8) - -11698. Let b = t + -3779. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-130)\/(-6) + 3 + -4. Suppose -5*b = 3*y - 219, -b + 4*y + g = 11. Let v = b - 10. Solve 5*p - v = 5*s, -4*p + 30 = -2*s - 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31810 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.132 + 3.132. What is the third smallest value in v, 2, -4, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 - 2*r**3 + 0*r**3 + 0*r**3)*(-36 + 3 + 2) in the form z*r**3 + a + m*r + b*r**2 and give a.\nAnswer: 1519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1\/(-30))\/(54\/90)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 5 - -5 - -1 - 25619999. What is o rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-75)\/6 + 10 + 0. Sort -2\/13, 1\/3, m, -12 in increasing order.\nAnswer: -12, m, -2\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + ((-5434)\/39)\/(-22) + 2\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-3*(-3)\/(-18)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*k**3 + 6113*k - 6113*k - 73*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/15, -5, -3, 5, 3\/26?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 30\/4*(-18)\/27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -329379*k**5 - 41645*k - 1.\nAnswer: -6587580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454410229.\nAnswer: 31, 449, 104491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + 0.00963. What is y rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -3\/7, -58 in increasing order.\nAnswer: -58, -3\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*c + 141 + 12 = -217. Solve 1 = -5*f - 4*n, 39 - 38 = f + c*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285*n*p**2 + 796*n*p + 4682427*n with respect to p.\nAnswer: -570*n*p + 796*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 7*a + 8 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48801160.8ns in weeks?\nAnswer: 0.00000008068975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-685)\/135 + -10*(-6)\/12. Let l be (-3)\/(-6)*4\/(-5). What is the third biggest value in l, v, -3, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 769 + -757.02. Let p = x - 12. Which is the third smallest value? (a) 4 (b) 1\/5 (c) -0.5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/9 + 3*12884\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7160, 28649, 64464, 114605, 179072, 257865?\n\"Answer: 7163*i**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 != -1054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/((-22)\/(-275)). Suppose 5*n - x = -3*d, -4*d + 11 = 3*n - 6. Solve -8*z + 3*z = 4*g - 19, d*z - 20 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -24*h - 20. Let x be p(-7). Let i = x + -64. What is the highest common divisor of 42 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 24*p = -66. Is -13 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1101\/367)\/(((-1)\/(-7))\/((12\/77)\/(-2)))\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y + 157 = 1378 + 33. Solve 12*a + y = -41 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x**2 + 0 + 8*x + 19*x**2 + 0 + 12*x**2 to the form y + d*x + s*x**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n + 89. Let t be k(-8). Let a(u) = 374*u**3 + 3*u**2 - 4*u + 2. List the prime factors of a(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -282219, -564428, -846629, -1128822, -1411007?\n\"Answer: 4*d**2 - 282221*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(56)\/sqrt(112)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 15) to base 13.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 82\/1027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 60906526 - 1?\nAnswer: 60906525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 45*v + 412. What is a(35)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**4\/12 + s**3\/6 - 2*s**2 - 3680*s. Let m = 2 - 3. What is b(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5985 - 5985.2. Let q be -4 + (2 - (-6)\/4). Which is the closest to -0.049? (a) m (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -24. Let k(q) = -q**3 - 12*q**2 - 13*q + 6. Let x be k(b). Suppose d - x = 83. Is d 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 5:33 PM and 5:05 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 70*s**2 - 142*s**2 - 4*s.\nAnswer: -72*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 9 = -f, 0 = -2*f - 2*f - 12. Which is smaller: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-21 - 3)\/(-1 + -1) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**5\/4 - 4*j**2 + 10*j. Differentiate n(y) wrt y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 8*q + 6. Let u be n(-4). Let z(c) = 6*c + 2*c - u*c - 7*c. Let t(x) = -4 + 4*x + 4. Give z(t(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*k + 67204 = 0, 405*x + 2*k - 84011 = 400*x. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27644 and 1.\nAnswer: -27644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7608, 6382, 5156, 3930?\nAnswer: 2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-223)\/((-103695)\/(-2170)))\/(-4 - 1*-2)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -46 - -44 - -1*14. Calculate the remainder when 108 is divided by (75\/i)\/((-9)\/(-72)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14621, 29193, 43765, 58337?\nAnswer: 72909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5185 and -0.18523.\nAnswer: -5185.18523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*y + 246*y + 191*f = 192*f + 30, -135 = 5*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 30 = -5*m, -4*d + 4 + 7 = -3*m. Suppose d = -v + 7. What is the lowest common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 12*b - 7*b. Let c(z) = -4*z**3 - 1 - 87*z + b*z - 2*z**2 + z**2. Let i(v) = -7*v**3 - 3*v**2 - 5*v - 1. Determine -5*c(a) + 3*i(a).\nAnswer: -a**3 - 4*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -20, -0.1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-336))\/((-1)\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 0*z - 4*z)*(7381*z**2 - 41608670*z + 41608670*z - 31997*z**2) to the form o*z**3 + p + i*z**2 + f*z and give o.\nAnswer: 49232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 3*o)*(-63*o - 56*o - 38*o + 100*o).\nAnswer: 114*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -176689 + 73325894\/415. Calculate the common denominator of 79\/8 and k.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h. Let x(v) = -8*v + 2. Let p(d) = 4*d**2 - 4*d - 1. Let j be p(2). Let w(l) = -23*l + 7. Let i(t) = j*x(t) - 2*w(t). Give k(i(s)).\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152053943 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d - -6846?\nAnswer: 68d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*j + 55 = 108*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5671067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/11 and ((-6)\/(-9))\/(8\/(-177))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r = -153 + 393 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 2:20 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 5*m - 255 = 0, b + 32907*m - 18 = 32909*m for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 1, r: 2, t: 1, d: 1}. What is prob of sequence rr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -428079\/20 + 21398. Let b be (2\/(-18)*-1658)\/(72\/54). Let r = -409\/3 + b. Find the common denominator of p and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6148 divided by 58.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2392281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150297614 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.17.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -198, 87, -4, 2 in increasing order.\nAnswer: -198, -4, 0, 2, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a = 51*a - 40. Let j be ((-1)\/(-4))\/((-4)\/a). Let h = -0.3 + 0.5. Put j, -0.4, h in increasing order.\nAnswer: -0.4, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 5:18 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*l - 111*l + 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*a\/(a**(-5)*a*a)))\/(a**(1\/2)\/a)*a*a*a**3*a*a*a**(-2\/13)\/a assuming a is positive.\nAnswer: a**(113\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 2*w. Let m be (-5 + w)*4\/(-14). Does m = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1831 = 105*z + 46 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2513, 5048, 7595, 10160, 12749?\nAnswer: 15368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001885243 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-28)*h*h)**(20\/11)*(h**(-2\/13)\/h)\/(h*h**(19\/6)))**(-45) assuming h is positive.\nAnswer: h**(-680325\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 7*q**2 - 5*q**2 + 17*q**2 to the form g*q**2 + d*q + r and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = 5*x - 6, w = 5*x - 6. Let l = -16711\/1572 - -28\/131. Find the common denominator of l and (-86)\/(-36) + w - 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/600 and -137\/7944?\nAnswer: 198600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10739 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146408606 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/335950 and 89\/20.\nAnswer: 671900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16152 (base 9) to base 2\nAnswer: -10101100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5460\/(-9100))\/(((-1)\/15)\/((-2)\/(-3))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2923, 5805, 8661, 11491?\n\"Answer: -13*a**2 + 2921*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*v - 16, v = -u + 3*v + 1. Let g be -1 + 4 - (u - -5). Solve a - 2*q = -4*q + g, 5*q - 11 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046603 <= 2046591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-63))\/((-96)\/(-2352)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 217405940 to the nearest 1000000.\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5875?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1837239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 4 + 0*u**2 + 3*u + u**2 - 6*u**2. Suppose 2*z - 4*d = -12, -7*z - 4 = -3*z - 3*d. Let q be (-14)\/(-4) - z\/4. Give g(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:23 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2736)*-5 + 0)*-3 - ((-4 + sqrt(2736) + -4)*4 + 4))**2.\nAnswer: 5016*sqrt(19) + 331417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -21*v**2 - 26*v + 19. Let t(n) = 4*n**2 + 5*n - 4. Let p(u) = 2*j(u) + 11*t(u). Calculate the remainder when p(-5) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6 = 3*f - 4*f, -f = -2*a. Let p(r) = -2*r**3 + 2*r**2 + 2*r. What is the remainder when (-2)\/(-9) - (-4080)\/108 is divided by p(a)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -7) + (0 - (2 + (-9 - 13)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0098 times 0.03?\nAnswer: -0.000294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + -1 - (-2 - 8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 6*w**2 - 30*w - 158. Calculate the remainder when 152 is divided by x(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 1. Let z(q) = q**3 - 7*q**2 + 16*q - 5. Determine -5*s(v) + z(v).\nAnswer: v**3 - 2*v**2 + 16*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*0\/(-3) - -2. Suppose -9*t + 4711 = -r*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z + 4*f = 108, 2*z + 5*f - 50 = 0. Calculate the lowest common multiple of 8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1650 and 66.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 90 = 2*r. Suppose -h = -r - 12. Let x(m) = m. Calculate the remainder when h is divided by x(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 9*u**2 - 8*u + 4. Calculate t(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2703, -5467, -8235, -11007?\n\"Answer: -2*u**2 - 2758*u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 363795718?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 2. Suppose -t = -h + 5. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/13, 310, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26486?\nAnswer: 2, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 6, m: 2, e: 8}. What is prob of picking 2 i?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 1. Let g(i) = -5*i + 26. Let l(h) = g(h) + 2*x(h). What is the first derivative of l(q) wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - -4. Let j be (-3)\/(-6)*0 + -13. Let b = -2 - j. Calculate the highest common factor of b and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7219*n - 1884*n - 62957 - 21790 = -15392 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (sqrt(170) + 2*sqrt(170)))*-6)\/((sqrt(60)\/(sqrt(12)\/sqrt(2)) - sqrt(10)) + sqrt(10)))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-5))\/((-2414)\/(-340) - (5 - -2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8519 - -1064881\/125. Let f = -364\/2375 + p. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4586154 milliseconds in nanoseconds?\nAnswer: 458615.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4094492 is divided by 102362?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 69, -4, 1, 5, -17 in decreasing order.\nAnswer: 69, 5, 1, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1993 - 1?\nAnswer: -1994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -222 + 45675?\nAnswer: 45453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -411.416, -12, 2 in increasing order.\nAnswer: -411.416, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 104\/(-8) - 1\/((-2)\/14). Let k = 21 + -4. Let h(z) = 3*z**2 - 17*z. Let b(f) = f**2 - 6*f. What is k*b(c) + n*h(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2781 and 44464.\nAnswer: 123654384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*d + 324*d - 180 = 632*d. Factor -63*r + 5\/3*r**4 - 47\/3*r**3 + 51*r**2 + d.\nAnswer: (r - 3)**3*(5*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 + 1\/((-5)\/(-20)). Let t(x) = -x**v - 58 + 35 + 34. Calculate t(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133773960*t + 1019192415 wrt t.\nAnswer: 133773960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Solve 12 = -4*k + g*k - 5*l, -4*k + 3*l = -28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574, -565, -558, -553, -550?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12 - b**3 + 20*b**2 - 17 + 13 + 12 + 2*b. Let c be z(20). What is the highest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 16*q + 35. Is p(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + -3 + sqrt(1700) + (sqrt(1700) - (sqrt(1700) + 2*sqrt(1700) + sqrt(1700) + 3 + sqrt(1700) - sqrt(1700))) + -4)*4.\nAnswer: -80*sqrt(17) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10485503 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: -47 - 0 - (-4 - (18 - -153))\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x + 0 - 1\/3*x**3 + x**2. Let o(y) = 2*y - 2. Let v(m) = -6*m - 93. Let l be v(-16). What is l*w(p) + 4*o(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2544 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 2. Let h(f) = -50*f - 35. Let o(z) = 35*c(z) - 2*h(z). Let v(n) be the first derivative of n**3 + 2128. Give o(v(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*a**2 - 8*a + 621*a**2 - 14*a + 27*a - 9*a as c*a**2 + v + r*a and give c.\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dmmmmmxmxxdmmqmmx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213613601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 592 = 125. Suppose 0 = -2*n + 127 + f. Suppose 0 = -6*v + 3*v + n. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i**2 - i + 1. Let j(h) = 56*h**3 + 42*h**2 + 42*h - 42. Let a(u) = -42*f(u) - j(u). Let w = 3300 - 3301. What are the prime factors of a(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-112)\/372))\/((-75)\/100).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/572 and 61\/663.\nAnswer: 29172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(16\/9))))\/(((((z\/(z**25\/z*z))\/z)\/z)\/z)\/z))\/((z\/z**(-19))\/z*z**(-7)) assuming z is positive.\nAnswer: z**(169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c9600 (base 14) in base 12?\nAnswer: 1b5900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((64\/(-24))\/1)\/(-4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59887?\nAnswer: 59887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 6*o + 31. Let v be t(11). Let z(w) = -w**2 + 12*w - 2. What is the remainder when 32\/(-12)*756\/v is divided by z(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56465, -56470, -56475, -56480, -56485?\n\"Answer: -5*w - 56460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 2:14 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 4, -2, -23 in increasing order.\nAnswer: -23, -12, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiizyqziiyziqiziy. What is prob of sequence zi?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5\/8 (b) -0.01 (c) -5 (d) -1\/66 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 + -83. Which is smaller: 0.3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1244122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**2 + 4101. Let f(t) = -271*t**2. Determine f(o(r)).\nAnswer: -1084*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486783 is divided by 252?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*t + 27*t + 384. Calculate the highest common divisor of 3264 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7882 and 4816?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5091?\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*z + 26, 0 = -244*z + 239*z + 5*s + 70. Let q be 0\/(1*-1*1). Solve 0 = -z*c + 8, 4*m + q*m + 6 = -5*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/1404 and -131\/1402050.\nAnswer: 25236900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375136 divided by -11.\nAnswer: 375136\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*m + 5, 4*u + 0*u - 28 = 4*m. Let s be ((-5)\/3)\/(u\/15). Let v(i) = i**3 + 5*i**2 - 2*i - 1. Calculate v(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*r**6 + 14771*r**3 - 2870003*r**2 wrt r.\nAnswer: 4080*r**3 + 88626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**2 + s**2 + 0*s**2 + (-1 + 4 - 4)*(3*s**2 - 7*s**2 + 3*s**2))*(-2*s + 8*s + 3*s**2 - 4*s**2 - 2).\nAnswer: 5*s**4 - 30*s**3 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/((l\/l**3)\/l))\/l*l*l)\/l)*l)\/((l\/((l*l*((l**7\/l)\/l)\/l)\/l))\/l*l) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10784*f**3*h**3 - f**3*h**2 + 1164*f**3 + 3*f wrt h.\nAnswer: -64704*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from ymhimyhiiihhyy?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1574761600 to the nearest integer?\nAnswer: 39683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 51855097?\nAnswer: 51855097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and -7099754.05442.\nAnswer: -7099754.65442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10001101 (base 2) to base 8\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 7:21 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:26 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 430 - 19. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 1 - 1)*(-q + 0*q + 3*q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2. Let u(t) = -t - 2. Let g be u(-6). Let b(h) be the first derivative of 4*h - 2 - h**2 - g*h. Determine a(b(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-10)*((-305)\/(-427) + 225\/28).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 20162.1\nAnswer: 8064.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 494888103 a multiple of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-4 + 9 - (2 + -1))) + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 6*m**2 - 2*m + 0 + 2\/3*m**3 - 1\/12*m**4. Let o(c) = -c**2. Calculate g(o(i)).\nAnswer: 2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18043\/54 + -334. What is the common denominator of 25\/3 and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 113 = 14*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - (-31812)\/462) + 3*2\/(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2996388?\nAnswer: 2, 3, 83233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -88*n + 89*n - 100, -25 = -3*c + 5*n + 4 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o**2 - 176*o - 805. What is v(-4)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131023032 - -11?\nAnswer: -131023021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 986 and 23026?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**3 - f. Let n(o) be the third derivative of -o**4\/8 - 11465*o**2. What is n(l(d))?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.61 + -3.61. Is -6\/7 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 2*g = 7*g - 96, -2*g - 11 - 1 = -k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(5\/6)*c\/c**(3\/5)*c**(-1)*c*c*c\/(c*c**(-5))*(c**(-3)*c*c**(-6))**44 assuming c is positive.\nAnswer: c**(-10343\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/9 - 3428936*d\/9 - 1469700261512\/9 = 0. What is d?\nAnswer: -857234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 divided by -32592?\nAnswer: -185\/16296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 12, -5*d + 2*z - 6*z = -1426. Let s = 589 - d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {t: 1, a: 2, b: 1, z: 1, u: 1, f: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 17. Let u(o) = 67*o**2. Give u(y(w)).\nAnswer: 268*w**2 + 4556*w + 19363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5219?\nAnswer: 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -862 - -864. Sort b, 4, -413.\nAnswer: -413, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**17*n)*n**18 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12) + 5 - ((sqrt(132) - sqrt(132)*-1) + sqrt(132) - sqrt(132))\/sqrt(11))*2.\nAnswer: -16*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 + 191*v + 95. Calculate m(40).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.476 - -2.22. Let k = -0.076 - m. Let a = -1.17999916 + k. Round a to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 8. Let v be k(11). Let b(u) = u**2 + u - 9. Let f be b(v). Suppose -3 = -3*q + f*g + 6, -4*g = 0. Solve 0 = -q*s + 6*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from hnqqqyqyhhyhhykkqhqh.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d + 8 = 0. Suppose d*b - 2*b + y + 13870 = 0, y - 4 = 0. Let m = 97029\/14 + b. What is the common denominator of -49\/18 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.042 - 1.28. Let k = 35.208 + p. Let v = k + -35. Round v to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5 - l**4 - 1130*l**3 + 10290*l**2?\nAnswer: 60*l**2 - 24*l - 6780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 48*i**2 + 2*i - 4. Let t(p) = 2*p**3 + p - 2. What is -j(v) + 2*t(v)?\nAnswer: 5*v**3 - 48*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/581 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*1 - sqrt(68)*-2*-6)\/(sqrt(16)\/(sqrt(100) - sqrt(4)) + 2*sqrt(4)*-1).\nAnswer: 36*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 1. Let l(q) = -2*q**2 + 6. Let g = 36 + -42. Give g*x(k) + l(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 - x**2 - 4*x**2 + (4 - 4 + x)*(2*x + 0*x - x))*(-3 - x + 3 + (0 + 1 + 0)*(3*x - 2*x + x) + x - 2*x - 3*x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 56*k**2 + 133*k + 2. Let w(c) = 8*c**3 - 225*c**2 - 533*c - 9. Let b(l) = 9*g(l) + 2*w(l). What is the second derivative of b(r) wrt r?\nAnswer: -12*r + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4797849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28015648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose 5*x - 135 - 11 = 3*l, 4*x + 216 = -u*l. Let s = 74 + l. Which is greater: 21 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8081.4 + -8081. What is the fourth smallest value in -5, -201, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-35) + (-56080)\/33040\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:52 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o - 11*o + 0*o to s*o + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45900153 and 103870.\nAnswer: 459001530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138312)\/47460)\/(17\/(-30)).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 5*n - 128. Give a(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a9 - -4?\nAnswer: -5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 695452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24565*t**3 - 7*t**2 + 36*t - 24567*t**3 + 4*t**2 to the form a*t**2 + x*t + w*t**3 + z and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 27*c - 20. Let b(l) = 7*l - 5. Let w(j) = -6*a(j) + 22*b(j). Let p(g) = -31*g - 180. Let k be p(-6). Let h(t) = 7*t - 9. Give k*w(d) + 7*h(d).\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3\/7 - 10004*a**2\/7 - 296148*a - 112318236\/7 = 0. Calculate a.\nAnswer: -2279, -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 5\/3, 5, -4\/7, -189, 0?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, h: 2}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 217 - 47337?\nAnswer: -47120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 214584 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*d - 11 = 3, -4*v - 6 = 2*d. Let x be ((-2)\/((-4)\/2))\/(-1). Let h = v + x. Solve h = -i - 3 - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l + 1605. Let g(w) = -29*w + 4816. What is 3*g(o) - 8*i(o)?\nAnswer: o + 1608","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**2 - 6*q.\nAnswer: 2*q*(4*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-27))\/7 - (-5770)\/315 - 934\/9807?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 11*v + 3. Let r = 6 + -8. Which is the closest to v? (a) r (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1579626 divided by 6219.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.07\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/4 + c**3\/3 + 24*c + 10. What is the remainder when 93 is divided by l(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 1. Determine m(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -101501 - 571?\nAnswer: -102072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 q when four letters picked without replacement from {q: 2, y: 18}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 13 = 5*x, -16924*x + 16926*x + 4 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 71, -2, 20, 3, 0 in ascending order.\nAnswer: -2, 0, 3, 7, 20, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 52*q. Determine k(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1758806 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-9)*-1)\/(-25*36\/(-675)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 2. Suppose -2*j - p = -r, 2*j = 3*p + 2 + 5. Suppose -j*m + n - 2*n = -81, -134 = -3*m + n. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -621558236\/5 or -124311647?\nAnswer: -124311647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31070271 - 5?\nAnswer: -31070276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d + 4 - 3)*((0 + 0 + 2*d)*(d + d - 3*d) - d**2 - 2*d**2 + 2*d**2).\nAnswer: -3*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**4 - 20*h**3 - 545*h**2 - 520*h = 0.\nAnswer: -8, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 5*c + 4. Let h be a(5). Suppose 0 = -i - 4*d - 11, h*i = -3*d + 2*d + 16. Let l be (3\/75)\/((-2)\/i). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - k)*(-1 - 1 + 3 + 8*k**2).\nAnswer: 16*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 7 - 30 - 7 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154081\/18 - -8552. Let v(n) = -200*n**2 + 32*n + 195. Let h be v(-5). Let i = h + 163792\/33. Calculate the common denominator of z and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(7 + (-319)\/44)*(-2)\/(-2). Which is the nearest to 1\/6? (a) 25 (b) -3\/2 (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316324 divided by 2\nAnswer: -158162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48708*n + 48051*n + 3942 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1990 divided by 5\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2 - -3 - (-10226)\/6*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence han when three letters picked without replacement from hazecenn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2 + 48\/(-56) + 4778666\/119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + -0.99. Which is bigger: -3\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6247.3 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19625 and 541650?\nAnswer: 2708250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 128\/10 + 4\/(-5). Let t(u) = u**2 - 11*u - 16. Let c be t(a). What is the common denominator of 13\/2 and (c - -2) + (-177)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321501943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 7. Let a = 16 - 20. Let f(r) = 3*r - 14. Let z(y) = a*f(y) - 9*v(y). Differentiate z(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676567 is divided by 225521.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 22*x + 1. Suppose 354*m + 578 = 2702. What is a(m)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = -2. Let w be 2\/157 - (2 - 2). Let l = 300\/1099 + w. Is v at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1016*x + 1011*x - 3036*x + 1010*x. Let r(g) be the second derivative of -8*g**3\/3 - g**2 - 2*g. Determine v(r(m)).\nAnswer: -16*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 9 - 4 - -1. Suppose 0 = -4*j - 4*c + 1024, -2*c = -3*j - z*c + 773. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyiy when four letters picked without replacement from yzyzfzzyiykiizzi.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - 94. Let k = -286 - y. Let s = k + 135. Solve 3*a = a, -2*v + a - 6 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.714781 rounded to two dps?\nAnswer: 34.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1165460 + 1165462. Determine n, given that -45\/4 - 87\/4*n - 39\/4*n**z + 3\/4*n**3 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -43617.\nAnswer: -2\/14539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 0 - (50 - 60)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86494, -172943, -259392?\n\"Answer: -86449*t - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63, 257, 585, 1047, 1643, 2373, 3237?\n\"Answer: 67*p**2 - 7*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002877774396 to 7 dps.\nAnswer: -0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 + 220*q**3 - 615*q**2 - 20*q + 820.\nAnswer: -5*(q - 41)*(q - 2)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 212*g + 9495 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**5)\/(v\/((v\/v**(-16))\/v))*v**(4\/3)\/v**(11\/6) assuming v is positive.\nAnswer: v**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1160*s - 1160*s + 6*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 655.42 rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-261)\/(-15) + (-4)\/10. Let m = 280 + i. Suppose -2*c - 307 = -3*k - 4*c, -3*c = -3*k + m. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 9*h**2 + 65*h + 231. Determine g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 = -6. Let n be 4 + 2\/(-6)*d. Let s(v) = -v**2 + 2*v - 2. Give s(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4761 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q + 1. Let x = -81 - -86. Suppose 2*r = 4*h - 18, -r + h + 0*h - x = 0. Calculate u(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 35. Suppose -2*b = -q - 0 + 4, 4*b + 24 = -2*q. Suppose -4*v + 4*u = -12 - 20, 12 = 4*v + u. What is the closest to 2\/3 in v, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 2, o: 2, p: 2, k: 1}. What is prob of sequence upb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**3 - 4*h**3 + 10*h**3)*(-h**2 + 4*h**2 - 2*h**2) + 53*h**5 + 1740 - 1740.\nAnswer: 51*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x - 4*x - 14*x**4 - 8*x wrt x.\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 9, 12, 17, 24, 33?\n\"Answer: b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 53*h. Let f(j) = -183173*j - 4. Calculate f(a(w)).\nAnswer: -9708169*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 26b1?\nAnswer: 26a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -58. Which is the biggest value? (a) z (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1, -2\/9, -88214, -1.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 7. Let o be s(5). Suppose -x - 2*x + 21 = 0. Let z be (-8)\/(-6) - (-10)\/15. Solve -3*i + z = 3*w - 8*i, -o*w - 4*i = x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:05 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 4*u - 2. Let q be a(-6). What is the greatest common factor of q and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13285*w**2 - 2608*w wrt w.\nAnswer: 26570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzfjyjx. Give prob of sequence zj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 5*a**2 + 2. Let c be q(-5). Let g = -0.1 + 0.2. What is the nearest to g in -0.3, c, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*p + 8, 3*p - 4 = -n + 2*n. Suppose 5*z = -4*j - 5 - 25, 4*z = 2*j + 2. Put n, z, -1 in descending order.\nAnswer: -1, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08957? (a) -10 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1639.9 and -11.1?\nAnswer: -18202.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569632.6um to meters.\nAnswer: 0.5696326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*g. Suppose 2*s - 31 = 5*r, 0 = -s - g*r - 1 - 6. Differentiate s*z**2 + z + 1 - z with respect to z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2)\/(3\/6). Suppose -i*w + x + 4 = -x, -4*x = -w - 13. List the prime factors of w\/(-2)*64\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 divided by -17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - v - 48*v**2 + 63*v**2.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2360760214 take away -0.46?\nAnswer: -2360760213.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202 - 299 - 241 - 119 - 6*i**2 - 34*i**3.\nAnswer: -34*i**3 - 6*i**2 - 457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 1, -1, 209.\nAnswer: -6, -1, 0, 1, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(250) - sqrt(250)) + sqrt(250))\/sqrt(5))\/(sqrt(80)\/(sqrt(8) - sqrt(392))).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 20)*27\/(216\/64)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.07?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(117) - sqrt(117)*2*3) + sqrt(117) + -5*sqrt(156)\/sqrt(12)*-4)**2 + 0.\nAnswer: -4992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0 (c) 1\/4 (d) -5\/4 (e) 12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 0)*4\/(-3). Let q = 94 + -62. What is the greatest common factor of q and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1443)\/(-74))\/(-13))\/((-1)\/30).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(4\/7)))\/c)\/(c*c**(2\/7)) assuming c is positive.\nAnswer: c**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67\/4 of a gram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4897751?\nAnswer: 17, 61, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522682 is divided by 174179.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 3*r**4 - r**4)*(9 - 3 + 3) - r + r + 3*r**4 + 4*r**4 + r**4 - 2*r**4 + (1 - 1 + 2*r**3)*(2*r + 3*r - 3*r).\nAnswer: 19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 175, 384, 677, 1054?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 42 = -a, -4*a - 7 - 35 = -5*w. Let t(v) = 7*v + 51. Let g be t(15). Let r = g + -107. Calculate the remainder when r is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 times -1318.47?\nAnswer: 300611.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 8, 539*b - 537*b = -3*a + 28 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 11*d**9\/252 - d**8\/168 + 26*d**5\/15 - 2*d**2 - 8. What is the third derivative of p(g) wrt g?\nAnswer: 2640*g**3 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 7*o = 24, 5428*o + 4 = -6*z + 3*z + 5432*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092 divided by 7688?\nAnswer: 523\/1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 6070458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) - (-92)\/240. Let t(s) be the third derivative of 1\/24*s**4 + 1\/40*s**6 + 0*s**3 - x*s**5 + 0 - 3*s**2 - 1\/210*s**7 + 0*s. Factor t(i).\nAnswer: -i*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 11*u - 56*u**2 + 6 + 9*u - 22*u to l + z*u + h*u**2 and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 3 - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 6}. Give prob of sequence ii.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/152 and 119\/1520?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*g - 2*g - g + 2*g + (-2*g - 4*g + 4*g)*(1 - 2 - 3))*(4*g**2 - 2*g**2 + 14*g**2).\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 - 70. Suppose -n = 5*b + x - 216, -2*b = -3*n - 72. Let u be 1\/(-6) - 865\/b. Which is bigger: -30 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 + 12*f**4 - 124*f**3 + 260*f**2 - 216*f + 64.\nAnswer: 4*(f - 2)*(f - 1)**3*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 20*q**2 - 18*q + 1. Let w be i(-9). Sort 5, 2, w, -6 in increasing order.\nAnswer: -6, w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -6, -2*g - 3*g = -5*q + 1120. Let t = 70 + q. What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 96 + (-16 - -1) + 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5\/(75\/(-140)) - 16\/(-12) - 43)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*a + 23, 7*c + 43 = 5*a - 2*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1568)*2)**2 + (1 + sqrt(162) - sqrt(162)) + (sqrt(288) + 2)**2.\nAnswer: -18523 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -5*t - 98. Let k be 0\/(-10) - t*1. Suppose k = 3*p + 43. Solve h - 21 = -5*a - 0*h, 3*a - 2*h - 10 = p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2196 divided by 1.\nAnswer: -2196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.121 and -462.90858?\nAnswer: 465.02958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3)*(60\/54 + -1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4236 is divided by 1244?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*y + 864 = -97 + 65 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -84*r + 562. Let v(b) = -87*b + 564. Let w(s) = 2*u(s) - 3*v(s). Find the first derivative of w(z) wrt z.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 + -426?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*t**6 + 32*t**2 + 31*t**2 - 18*t**6 - 14*t**2 wrt t.\nAnswer: -3840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -104430125*y**4 - 67727626?\nAnswer: -417720500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 2*a**2 + 4*a + 1. Let t be g(3). Let r(x) = 5*x + 6 - 4 + 5 - t*x. What is the units digit of r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 71 + -127 + 59?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-23 + 5 + 11)) + -13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7290937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -5\/2*g**3 - 51*g**2 + 1 + 1\/10*g**5 + 4*g + 0*g**4. Differentiate l(r) wrt r.\nAnswer: 6*r**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 7*u**2 + 17*u + 15. Let r be s(9). Suppose r = -t - 12. Let f be (12\/(-28))\/(t\/12). What is the nearest to f in -0.1, 0.08, 4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (20 + -18)) + (-2 - -7 - 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.121483 litres in millilitres?\nAnswer: 5121.483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*m = -12, -j + 12*m - 9*m = 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -346 - -356. Solve -i = -3*p + i + u, 2*i + 18 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 350, 1203, 2624, 4613, 7170, 10295?\n\"Answer: 284*q**2 + q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4 - 260*l**3 + 526*l**2 - 264*l = 0?\nAnswer: -132, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6464 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 38*f - 40. Let t be n(-27). Let v = t + -256. Solve 0*o + v = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344 and 616912.\nAnswer: 26527216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1239?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 350938.\nAnswer: 1\/25067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 214 = 74. What is the remainder when b\/20 + 1\/(-5) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v)*(4 + 1 - 6)*(-4 + 2 + 3)*(-13*v**2 + 13*v**2 - 17*v**4) + 3*v**5 - 2*v**5 - 3*v**5 + (2*v + v - 7*v)*(0*v**4 + 0*v**4 - 2*v**4).\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249207 is divided by 2651.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**8*d\/((d**(-7\/6)\/d)\/d))\/(d**(-2)\/d**26) assuming d is positive.\nAnswer: d**(253\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 18*y - 142. Let q be h(-6). Put -11, q, -3, -1, 0 in descending order.\nAnswer: q, 0, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(4*(sqrt(1872) + 1*sqrt(1872)) + 0 - -4*3*(sqrt(1872) + -1 + sqrt(1872)))**2.\nAnswer: -82944*sqrt(13) + 17253648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002248 to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -11 + (12 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/6*6*((-42)\/7)\/(-198)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 12:32 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a + 113*a**2 - 28*a - 41*a**2.\nAnswer: 72*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**2 - 241*j + 30. Let l be u(30). Let d = 0 + 2. Solve l = 7*g - d*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -2 - (5 + 2 - 14). Solve -k*t - 14*l = -12*l + 6, 0 = 5*t - 3*l + 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -350 + 350. Let s = -75\/4 - -19. What is the nearest to k in 2, 2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 18*t**2 - 20*t - 16. Let u be g(-19). Suppose r - 12 = -4*x - u*r, -2*r = -3*x + 19. Solve -4*c + x*w = -33, -2*c + 0*w - 3*w = 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1215500.6 and -1.\nAnswer: 1215499.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125\/625)\/(9\/(45\/40)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2780*l = -1459*l + 13946*l + 870219 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 990 = -0*i. What is the greatest common divisor of 33 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -639 * 72057.\nAnswer: -46044423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 5) to base 9\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -62 + (-7 - (9 + (-3 - 3))) + 11 + -1\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:36 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -156*g**5 - 106474*g**4 - 45338146*g**3\/13 + 21714352*g**2\/13 - 3441896*g\/13 + 181440\/13 = 0.\nAnswer: -648, -35, 2\/13, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 13, 20, 27, 34, 41?\n\"Answer: 7*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + 3 - (-4 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**4 + 1415*y**2 + 3089*y?\nAnswer: -36*y**2 + 2830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyyykyuuvyyyuekkyn. Give prob of picking 2 v and 1 n.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67368 + 67385. Suppose -4*g + 12 = 3*c - 13, -2*g + 5*c - 7 = 0. Solve -g*t = s + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 842355 divided by -13.\nAnswer: -842355\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**3 + b**2 - 6*b + 6. Let d be o(5). What is the tens digit of (6\/4)\/((-19)\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 34*c + 44. Let r be q(-11). Round r to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**3 - 88*o**2 - 105*o - 46. Calculate j(17).\nAnswer: 2215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13691 + 13695. Calculate the remainder when (12\/10)\/(2\/130) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 4. Let y be (-2)\/q - 3\/(-2). Find the third derivative of 0*d**2 - 6*d + d**6 - 4*d**y + 6*d wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 14*d = 502, -2*d = -3*v - 20*v + 13*v + 40 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -23*y**3 - 9*y**2 - 8*y + 20. Let v be u(-9). Suppose -15*j + 5*j = -v. What are the prime factors of j?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4401.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: 7207 (base 8) to base 15\nAnswer: 117e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19b0c1 + -5?\nAnswer: -19b0c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 36823180 = -7*b + 12*b, 2*b + 18411608 = -g. Round g to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 12:51 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2343834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27331*n**3 + 24*n**2 - 32*n wrt n.\nAnswer: -163986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m - 27. Let d(s) = -s + 1. Let k(j) = 10*d(j) - 2*l(j). Let z be k(-15). What are the prime factors of (-36)\/(-306) - (-982)\/z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2498408 and 3026?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -498436*h**2 + 5648*h - 16 = 0.\nAnswer: 2\/353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -1\/3*b**4 + 2*b**2 - 2\/3*b**3 + 1\/5*b**5 + 0 + 12*b. What is z in l(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 192\/151?\nAnswer: 192\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - g + (1 - 2 + 0)*(-g - 2*g + 4*g) - g + 4*g - 5*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27012 - -16?\nAnswer: 27028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:04 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = 3*o - 25. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 12\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 189 - 127. Let v = z + -65.7. Let l = 0.7 + v. Which is smaller: 8 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.01, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 829545504 divided by -4?\nAnswer: -207386376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -21. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s + 140. Let t be g(23). Find the third derivative of -128*y**t - 3*y**3 + 10*y**3 + 79*y**3 - 2 - 22*y**3 wrt y.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:49 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 222212010111120 (base 3) to base 13\nAnswer: 2c59602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + 175184?\nAnswer: 175169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 7*u + 2. Let t(q) = q**2 - 28*q + 218. What is 4*f(c) + t(c)?\nAnswer: 5*c**2 + 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16722 by 6.\nAnswer: -2787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 3 + 3)*(-2*k + 5*k - k) + 137*k**3 + 139*k**3 - 208*k**3.\nAnswer: 70*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -876 in 4, -1\/2, -1\/3, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**3 + 3*c**2 - 2*c - 6. Let x(j) = -7*j**3 + 2*j**2 - 2*j - 5. Determine 6*x(f) - 5*y(f).\nAnswer: -2*f**3 - 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - o = -1059, -2*o = 12 - 18. Calculate the smallest common multiple of a and 12.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*58 - 2 - 1. Suppose -145 = 3*k - 22. Let d = -30 - k. Calculate the highest common factor of a and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (384\/320)\/((-4)\/(-250)). Let a(l) = -l - 3. Let r be a(-6). Suppose 4*y = g - t, -262 = -r*g + y - 15. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (59 + -35 - 36) - -127.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 y when four letters picked without replacement from bbzbbybbb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102140 is divided by 10176?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 7858200*c**2 - 39290875*c.\nAnswer: -5*c*(c + 5)*(c + 1571635)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162148 + 2*c**2 - 162088 + 3*c + 324236 - 3*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 y, and 1 e when three letters picked without replacement from {y: 2, e: 2, r: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 819, -4, 16 in ascending order.\nAnswer: -4, 16, 819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21311393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o = -19 - 12 + 31. Is o >= 14\/629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) 1 (c) 6186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63928867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160 + -160. What is the second smallest value in k, 3\/5, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q**2 - 15*q**2 + 5*q**2 + (q**2 + 2*q**2 - 4*q**2)*(-1 + 12 + 4) + 3*q**2 - q**2 - 4*q**2 in the form w*q + y*q**2 + g and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -90\/17 + 2\/17*z**2 - 24\/17*z = 0. Calculate z.\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5512, -5489, -5450, -5389, -5300, -5177, -5014?\nAnswer: -4805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3*(-4)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -38, -72, -130, -218?\n\"Answer: -d**3 - 3*d**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-14)\/175*-5. Let c be (2\/(-3))\/((-2)\/(-3)). What is the third biggest value in c, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32585627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -646?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*a = 1608, 5*a = -p - 68 - 342. Let t = -273 - p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59249.45 millilitres?\nAnswer: 59.24945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 35 = 2*d - 30, 0 = -f + 5*d - 14. Suppose -f = -3*w - 4*n, 5*n + 7 = 4*w - 18. Sort w, -3\/2, 0, -0.5 in descending order.\nAnswer: w, 0, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(576))\/(sqrt(72)\/(5*sqrt(192))).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/5 (b) 3 (c) -0.4 (d) 0 (e) -2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 1540.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9216, 18082, 26642, 34896, 42844, 50486, 57822?\nAnswer: 64852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -902, 310, 3600, 10006, 20566?\n\"Answer: 173*z**3 + z**2 - 2*z - 1074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 5 - 5)*(3*l + 0*l + 0*l)*(15*l + 19*l - 6*l).\nAnswer: 252*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 41*a**6\/30 + a**4 + 10*a. What is the third derivative of c(s) wrt s?\nAnswer: 984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.89158 hours to minutes.\nAnswer: 5933.4948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4671 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: Is 1 equal to 13944\/76519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*h + h. Suppose -h*o = -2*o - 8. Suppose 5*r - 21 = o*r. Let a(c) = c**2 - 8*c + 4. Determine a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*o + 2*k, 2*k - 23 = -4*o + 19. Let y = o - 12. Let f = 4.6 - 5. Which is the third smallest value? (a) 0.1 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**8\/1344 + k**7\/60 + 73*k**6\/480 + 43*k**5\/60 + 11*k**4\/6 + 8*k**3\/3 + 22*k**2 + 2*k. Factor q(p).\nAnswer: (p + 1)**2*(p + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36.262, 7, 1 in descending order.\nAnswer: 7, 1, -36.262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 114477 < 3.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 12:24 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2314, -4834, -7354, -9874, -12394?\nAnswer: -14914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -250 - -250. Let q = -0.3 - -0.3. What is the closest to b in -5, 1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35290 or 297?\nAnswer: -35290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 1122?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/13 + 39972*n**2\/13 - 199720098*n\/13 = 0.\nAnswer: 0, 9993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 (base 16) in base 2?\nAnswer: -10010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11699, -11687, -11675?\nAnswer: -11663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -1123\nAnswer: 1235.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 4. Calculate the lowest common multiple of m and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.628 rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from sjcwsosrjojrww?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 9:10 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y + 4449575 + 22862425 = 0. What is y rounded to the nearest ten thousand?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*y + 5, -3*m + 15 = 5*y - 0. Suppose 71 = 5*j + 2*q + 2*q, 5*j - 3*q - 78 = y. Suppose -i = 4*i - j. Solve 2*w = -4*f - 6, -i*f - w - 11 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 + 3*r**2 - 28*r + 6. Let v be m(-13). Is (v\/(-4))\/((-1)\/(-2) + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 27*t + 354. Let c be n(-13). What is the third smallest value in c, 2\/5, -3\/127?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 11) to base 12.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = j + 5*s + 55, j - 2*s = 5. Which is the nearest to j? (a) -2\/11 (b) -0.5 (c) 1\/12 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 7*o - 7*o. Let p(d) = 0*d - 4*d + d + 2*d. Give p(t(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 72*o**2 + 151*o - 2919. What is c(37)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2421433 - 4?\nAnswer: -2421437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 194*f - 199*f - 14, 3*f - 3*d - 6 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 201\/5, -4, -20\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/20)\/(12\/225) and -69\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.027 times 93337\nAnswer: 2520.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22430 - 73?\nAnswer: -22523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111053069 to the power of 1\/2, to the nearest integer?\nAnswer: 10538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -61. Let w be ((-159)\/4)\/(148\/(-32) - t). Which is bigger: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of -8*(621\/(-3) + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151*a**3*g*m**2 - 22*a**3*m - 2*a**2*g**2*m**2 + 2*a**2*g**2 - 2*a*g**2*m wrt m?\nAnswer: -302*a**3*g - 4*a**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258 * 63439.\nAnswer: 16367262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15915, 66166, 149919, 267174, 417931, 602190, 819951?\nAnswer: 1071214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 89 - 20)*(-14*g - 29 + 29)*(-1 + 2 + 0 - 3 + 0 + 2 + (1 + 1 - 1)*(3 + 1 - 3) - 2 - 4 + 5 + 2 + 3 - 3).\nAnswer: -1904*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 3.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 10173429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16855 - -16860. Solve i*o = -5*m - 10, 114*m = -o + 118*m + 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4393701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2493 + 2492.9. Sort 2\/11, -2\/13, -2\/3, b in descending order.\nAnswer: 2\/11, b, -2\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/1*(-18)\/(-972)*18)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 46*v + 47*v + 1 + 3*v**4 - v**3 as r*v**2 + h*v + c + g*v**4 + i*v**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*r + 15, r + 25 = 4*k + 2*r. Let d = k - -2. What is the greatest common factor of d and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwdwwwwwwww. What is prob of picking 2 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -9.5. Let r = d - 6. Let z = 0 - r. Which is smaller: z or 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310989.16 rounded to the nearest one thousand?\nAnswer: 2311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -14 - (5 + -8)) + (-13 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 6, m: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 582.\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 654 in -3\/2, 133, 4, 2\/9, 0.2?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -192*v - 6526. What is u(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5048214 = 36*b - 2522766. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -8, 0.2, -4, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 557784 a multiple of 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 44. Let k = -2\/3 + 1. Let z be 15\/(-10)*(-4)\/(-39). What is the second biggest value in l, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*u - 2 - 59*u - 4*u**2 - 9*u**4 - 64*u + u**2 to v*u**3 + c + g*u**2 + l*u**4 + s*u and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009697 to 6 dps.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -110111, -110120, -110129, -110138, -110147, -110156?\n\"Answer: -9*l - 110102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1 + (sqrt(288) - (sqrt(288) - 2*sqrt(288))))*3 + (-2 + 1*sqrt(288) - sqrt(288)*3*-4))**2.\nAnswer: 456*sqrt(2) + 103969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/7 + 0)\/(3\/21).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 10. Let q be 1\/(((-32)\/(-40))\/4). Let w be y(q). Solve w = c + a - 1, 3*a - 2 = a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 = k - 5, -4*d = 4*k - 36. Solve 4*o = 5*l + 5 - 1, k*l = o - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776985 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 + 1.77. Let d = r + -0.02. Sort 3, 2, d.\nAnswer: d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 1:36 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 - 1636*m - 3280 = 0. Calculate m.\nAnswer: -2, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2665.68262?\nAnswer: 10662.73048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 274 and 256230826.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26626075*t**2*w**3 + 2*t**2 + 2*t*w**3 + t*w**2 + 2371091*t*w - 2*w**2 - 4 wrt t.\nAnswer: -53252150*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 2*u + 4*u + (-1 - 3 + 3)*(0*u + 2*u - 3*u)*(-1 + 0 + 0).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 3*o + 48 = 0. Let p = -37 + 39. Let x(s) = 15*s**2 + 4 + 15*s**2 - 31*s**p - 1. Calculate x(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202434 (base 6) to base 9.\nAnswer: 24134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-1)\/2) + 0. Let g(k) = -3 + 2*k**2 + k**3 + 2*k**2 + 3*k**x - 9*k. Let z be g(-8). Solve z*r = 5*h + 50, 4*r = 2*h - h + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a meter in centimeters?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from ggtgtgz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*0 - 3. Let l = 5 + q. Suppose 0 = 3*p + l*p - 115. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 28*z**2 - 32*z + 32. Calculate p(27).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8967 - 13377. What is i rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*p**4 + 87 + 23 + 37*p - 37*p wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 7*b**2 + 3*b - 7. Calculate the least common multiple of s(7) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xggp when four letters picked without replacement from gpgppgggppxpgxp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2649 + 12783?\nAnswer: 150cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52205 - 26104 - 26101 - 3329*x.\nAnswer: -3329*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2767105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2344533572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-15456)\/230 - 48\/10?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.7 + -31. Let s = 7 + -9.1. Let i = s - n. Which is the closest to -1? (a) 2\/13 (b) -5\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1841 is divided by 261?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 63\/49 + 4\/(-14) + 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45502 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuu when three letters picked without replacement from ivuuvvuvuuvuuvvvvvuu?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m - 6. Let x be b(-4). Suppose 0 = -3*o + 5*j + 95, -j - 68 + 7 = -2*o. Suppose -7*v - o = -12*v. Solve 0 = -v*s + 4*s + x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**3\/3 - 5*y**2 + 11*y - 27. Let z be f(8). Let n be (0 + 2\/6)\/(-1). Which is the smallest value? (a) z (b) -2\/15 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*v + 50, -43 = -4*g - 17*v + 12*v. Solve -7*n + 4*l - 8 = -8*n, l - g = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u + 3*u + 2*m, -7 = u + 5*m. Let f(s) be the first derivative of -12*s**2 + 1 - 12*s - 5*s**u - 3\/4*s**4. Determine x so that f(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.8 (b) 1\/5 (c) 0.0144 (d) -1965 (e) -4 (f) 0.4 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5247 + (7 - 11)*3 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11309 - -20214. What are the prime factors of t?\nAnswer: 5, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 1.6, 0, 99, 90?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f. Let g be q(-1). Let c be (-3)\/(18\/4)*g. Find the second derivative of 3*d**c + 2*d**4 + d - 2*d + 2*d wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 24. Suppose -k = -4, 4*h - 4*k + 16 = -0*k. Suppose h*a = 5*a. What is the units digit of i(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-64)*-22)\/((-126)\/(-168))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 119 in increasing order.\nAnswer: -3, 9, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9166)\/72 + (-2)\/(-9). Let r = b - -697\/6. Let y = 90 - 539\/6. Find the common denominator of r and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = -5*y, -5*s + 0*y + 8 = -4*y. Is 2\/3 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11628 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 614387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.3068 + -0.0068. Let n = l - 31.34. Which is greater: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 h, and 1 o when three letters picked without replacement from zhhoovo?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 3dbe?\nAnswer: -3dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 20 = -3*o, -3*i = -2*o - i + 20. Suppose 0 = -o*k + 2*k + 300. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.01 (c) -0.4 (d) -10 (e) -2\/7 (f) -74\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-6 - -19 - 14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/13)*m*m)\/m**(-4\/13) assuming m is positive.\nAnswer: m**(34\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10675*h + 1896*h**2 + 3179*h - 6712*h**2 - 2103*h**2 wrt h.\nAnswer: -13838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28804 divided by -5?\nAnswer: 28804\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32369995 - -3?\nAnswer: 32369998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -5, 5.9, 0.6, -3, 1\/46, -122?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 0*w)*(-24645*w**2 + 30088465*w + 2 - 30088465*w).\nAnswer: 49290*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71e7d0 - -4?\nAnswer: -71e7cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/273)\/(-4)*-3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496937777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -916, -902, -844, -736, -572, -346, -52?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 120*g**2 + 230*g + 1710. What is w(122)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by 582\nAnswer: -38\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m**3 - 5*m**2 - 5*m + 7. Let p(n) = 4*n**3 - 2*n**2 - 2*n + 3. Let z be (1\/2)\/((22\/(-20))\/11). Calculate z*p(u) + 2*i(u).\nAnswer: -2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69d5 - 0?\nAnswer: 69d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135989*k + 1482 = -136027*k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rns when three letters picked without replacement from {n: 7, s: 2, r: 3, o: 1, k: 3, e: 1}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyt when three letters picked without replacement from {y: 3, t: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:19 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 88327851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -12*m + 17*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, 11, 0, -3335 in decreasing order.\nAnswer: 18, 11, 1, 0, -3335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3152*z**4 + z**2 - 74*z + 6 wrt z?\nAnswer: 75648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q**3 - 22*q**2 + 46*q - 1. Let t = -5 + 10. Calculate the least common multiple of z(3) and t.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -r - 120, 2*r + 96 = 3*k - 196. Let c be (r\/(-2))\/(2\/2). Suppose 7*f - c = 2*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 21*h**2 - 4*h - 7. Let p be i(5). Suppose -4*y = -5*a + p, 5*y - 382 = -5*a + a. Suppose 2*d - a = 102. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20*(-16)\/(-2)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 7 = 5*s + 3, -2*c - 5*s - 15 = 0. Let l(z) = -c*z + 6 + 5*z - 4*z + 3*z. What are the prime factors of l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -45322, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290466173.\nAnswer: 3, 509, 845099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 299 = -5*w, 5*w - 93 = c. Suppose -3*f - 944 = -5*a, -6*f = -4*a - 2*f + 752. Let g = a + c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31679*d**5 + 7*d**2 + 834*d wrt d.\nAnswer: -1900740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152 or 170?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 = -m + 1, p + 2*m = 0. Suppose 0 = 2*x - x. Solve 3*h + p*h - 10 = x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 27. Let w = a - -26. Suppose 8*p + 116 = 5*v + 4*p, -96 = -4*v + 4*p. What is the smallest common multiple of v and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1188, -2342, -3424, -4398, -5228?\n\"Answer: 6*t**3 - 1196*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q - 4*q**2 + 3*q - 8*q**4 - 11*q + 0*q + 3 as n*q**4 + f*q**3 + v*q + d + m*q**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -5\/3*z**4 + 0*z**2 + 0*z**3 + 8\/5*z**5 + 0 + z. What is the third derivative of y(j) wrt j?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + 2.9. Let y be 40\/18 - 2\/9. Let g be (-2)\/((y - -2)\/(-2)). Put g, k, 2\/19 in ascending order.\nAnswer: 2\/19, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x. Let j(d) = 19*d + 1. What is j(p(u))?\nAnswer: 95*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/7*q - 1\/7*q**2 + 46\/7.\nAnswer: -(q - 46)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/43)\/((j\/(j*j*j*j\/j**(-31)*j)*j)\/j)*(((j**(-1\/25)\/j)\/j)\/j)**(-9) assuming j is positive.\nAnswer: j**(67012\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4341\/13 + 334. Let s = 87\/316 - 2\/79. Sort j, -2, s in decreasing order.\nAnswer: s, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 140, -1 in descending order.\nAnswer: 140, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*(-4 - 2). Let t be (-2)\/(-3) - (-33)\/f. Let n(h) = -h + 4. What is the remainder when n(t) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 4*4*(sqrt(147) - (2*sqrt(147))**2)).\nAnswer: -448*sqrt(3) + 37628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/40)\/3*-5. Factor 7 + 14*z**2 - 50*z**2 + 18*z**w - 78*z + 3*z**2 - 22.\nAnswer: -3*(z + 5)*(5*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514164837 is divided by 196.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*c**2 + c - c + 187*c**2 - 372*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -1\/8*a**4 - 1\/15*a**5 + 1\/120*a**6 + 0 - 2*a**2 - a**3 + 0*a. Let o be b(5). Is o < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 - 6000*y + 6000*y - 13*y**2 + 2 + 32*y**2 - 4.\nAnswer: 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5013 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8854 and 260960?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1413012103 (base 5) to base 13\nAnswer: -9a6667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + 43?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 591789*i + 762437 wrt i.\nAnswer: 591789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3080 and 5040?\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1677 or -1732?\nAnswer: -1732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 90529970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 0.0535?\nAnswer: 0.0535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 24*l**3 - 13*l**2 + 18*l - 27. Let q be s(12). Suppose 12*y + q = 21*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 3339708?\nAnswer: 3339708.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -801*o - 15069. What is c(-18)?\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 2.182.\nAnswer: 0.19638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*m - m. Let z = 3 + -2.5. What is the smallest value in m, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3)*(-4*w**3 + 2*w**3 + 3*w**3) + 3*w**2 + 4*w**3 - 3*w**2 - 31*w**3 + 5*w**3 + 322 - 323 in the form u + j*w**3 + a*w + p*w**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7))**2 + 5 + (sqrt(28)\/(sqrt(36)\/sqrt(9)) + sqrt(7))**2.\nAnswer: 2*sqrt(7) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 bigger than 561\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/6*(-2544)\/80)\/(3\/6).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 take away -43376?\nAnswer: 43376.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 4. Suppose 3*x - 11 = -4*k, 2*k - k = 3*x - 1. Sort k, r, 0.\nAnswer: r, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -1, -19, -11, -6 in decreasing order.\nAnswer: 8, 4, -1, -6, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 2*h**2 - 2*h. Let i(c) = -c**3 - c**2 - c. Determine b(j) - i(j).\nAnswer: -j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + y**2 - y**2 + (2*y - 3*y + 0*y)*(4*y - 3*y + 6*y))*(-21*y - 326 + 326) to the form a*y**2 + g*y + w + q*y**3 and give q.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 1. Let w be u(-2). Is w + -1 + (76 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4 = -2*b. Suppose 4*x - b*x + 117 = u, -3*u - x = -344. Suppose -u = -4*f - f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/50 and 3\/43160.\nAnswer: 215800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8739596cm?\nAnswer: 0.008739596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/4120 and -121\/1030.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/38*(-4208)\/(-10520)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 277 - 277.2. Let x be 0 + 1 + 1*4. Which is the smallest value? (a) s (b) 0.2 (c) -2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 683477, 1366957, 2050437, 2733917, 3417397, 4100877?\n\"Answer: 683480*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 + -174. Let t(m) = -m**2 + 4*m - 4. Let p be t(3). Which is the biggest value? (a) u (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-15 + (-80 - -13) - -21) - (5 + -1).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 6*g + 4*g)*((0*g**2 - 2*g**2 + 3*g**2)*(3*g - 3*g - g) + 198744*g**3 + 263*g**2 - 198745*g**3 - 41*g**2).\nAnswer: 4*g**4 - 444*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 202, 5, 313, 1 in ascending order.\nAnswer: -5, -2, 1, 5, 202, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, 14\/5, -4, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.38877 - 0.01123. What is the third smallest value in 18\/7, 24, f, -0.5?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-52 - -22 - 53)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 22 = -2*w, 0 = -2*w + w - 5*x + 19. Let d be w\/(-2) + (-8 - -33). Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5162, 10299, 15438, 20579, 25722?\n\"Answer: y**2 + 5134*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172547660 a multiple of 3547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o + 2 - o**2 + 3*o**3 + 0*o**2 - 1 - 2*o wrt o?\nAnswer: 18*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3550 - 3550.05. Which is the fourth smallest value? (a) -3 (b) 2\/39 (c) j (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-7)*u)\/u**0)\/(u*u*(u\/(u\/(u*(u\/(u*u**1))\/u*u)*u))\/u)**2)\/(((u\/u**5)\/(u*u*u**5))\/((u\/(u*u**(2\/3)))\/u)**(-10)) assuming u is positive.\nAnswer: u**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 41. What is the tens digit of q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-18)*186\/1023.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:34 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001 + 100?\nAnswer: -1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 81 = 73 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 divided by 19067?\nAnswer: 592\/19067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 30.291614 times 0.2\nAnswer: 6.0583228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let q(p) = -670*p - 646*p - 60*p**2 + 1318*p. Calculate c(q(d)).\nAnswer: 120*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4190837 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 0 + 3)*(-110*k + 6*k**2 + 85*k - 2*k**2) - 3*k**3 + 4 - 4.\nAnswer: -11*k**3 + 62*k**2 - 75*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*v - 5*v**3 + v**3 + 1 + 5*v**3 to f*v**3 + t + d*v**2 + b*v and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Suppose -3*i + 2*i = -3. Let n(l) = i*l - l + l - 4*l. Let q(v) = -v - 1. Let m be q(-5). Determine m*a(y) + 3*n(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 69*s - 2 - 113*s.\nAnswer: -182*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*4\/32*224\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*g - 8, -5*g = 2*j - 2 + 16. Let d be g - (11\/(-1) - -3). Let y = 13 - 9. Solve k = u + d, -y*k = 5*u - 3*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 75*k**3 + 639*k**2 - 2037*k + 1470.\nAnswer: 3*(k - 10)*(k - 7)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 e when three letters picked without replacement from ryrrreeorjjeray.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - 69)\/((-585)\/(-30)) and -46\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 587*f**3 - 10*f**2 + 13*f - 24. List the prime factors of z(3).\nAnswer: 2, 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 58898.\nAnswer: 235592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 285, -92, 3?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -18. Let z(c) = c**3 + 7*c**2 - 2*c - 12. Let w be z(a). Find the first derivative of 6 - 2 - 5*j**4 + w*j**4 wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (35 + -20 - 26) + -21\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 4, -5 in decreasing order.\nAnswer: 85, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1. Let t(h) = h**2 + 2*h + 1. Let m(l) = t(l) + 4*x(l). Let i be m(-3). Solve 5*r - 22 = -3*a, 2*r = -3*a - i*a + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12698583?\nAnswer: 3, 1249, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 3. Let q be l(8). Let w(z) = 3*z - 2. Is w(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -9, -2, -0.5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**8)\/t)\/(t*t*t*t*t**(1\/17)))**(-43)\/(((t*t**(1\/10)*t)\/t*t*t\/(t\/(t**(-1\/3)*t*t)))\/(t**0*t)**(-2\/5)) assuming t is positive.\nAnswer: t**(52465\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48718 = 5*t - k + 48717, 0 = 2*t + 6*k - 26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 = 32*h - 146 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 13*r + 1. Let p(j) = 4*j. Give u(p(c)).\nAnswer: -32*c**2 - 52*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -206, -8, -20 in ascending order.\nAnswer: -206, -20, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227179024 + 227179024 + 12*c - 20*c - 59*c.\nAnswer: -67*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((3\/(-2))\/3). Suppose -111 = -5*f + n, -n = q - 1. Is 1 + 1 + f + -4 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Let o(s) = s - 5. Let x be o(6). Let v(i) = -2*i**3 - 2*i**2 + i - 2. Let k be v(-2). Let a(l) = -k*l + 0*l - 1 + x. Give h(a(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 477\/371*(-14)\/4*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 18*g - 5. Let a(o) = -9*o + 3. Let l(t) = -2*t**3 + 7*t**2 - 5*t - 3. Let n be l(1). Calculate n*p(r) - 5*a(r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 7*c**4\/2 - 174*c**3 - 4727*c**2\/2 - 2796*c - 610 = 0.\nAnswer: -10, -1, -2\/7, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 835*n**3 - 1 - 756*n**3 in the form b + s*n + v*n**3 + h*n**2 and give v.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524227 is divided by 39?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 5*a + 10. Let h be v(6). Let k = h + -1. What are the prime factors of 5\/(5\/84)*k\/4?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-28)*2 + 1. Let f = 10 + -6. Let y = 0.329 + -0.029. Which is the closest to 2\/7? (a) f (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 q when four letters picked without replacement from sesseeqiii?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536 and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001001 (base 4) in base 15?\nAnswer: 9add","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**3 - 3*w**2 - 2. Let p(f) = -f**3 + f**2 + 1. What is b(t) + 2*p(t)?\nAnswer: -10*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from iuiqqxux.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*b - 37 = 0, -3*b = -u - 0 + 24. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2 - 10*a - 5. Let i(l) = 5*l**2 - 6*l - 3. Let s(g) = -5*i(g) + 3*p(g). Let d(v) = -2*v**2 - 10*v + 9. Let o(q) = d(q) - 3*s(q). What is o(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (7 - 13)) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y = -3. Suppose 3*m - 18 = -2*d, m - 3 = -3*d + y. Solve -s - 5*l + m = -6, -s - 4*l = -9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c*c**37*c)\/c)*c**20)**(1\/12) assuming c is positive.\nAnswer: c**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**7\/105 + 21*q**6\/40 + 113*q**3\/6 - 90*q**2 + 2*q. What is the derivative of h(c) wrt c?\nAnswer: -8*c**3 + 189*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 5*g - 2*r, -5*g + 4*r + 43 = -181. Calculate the highest common divisor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(64) - sqrt(196)*1)\/((sqrt(200) - sqrt(200)*2) + 6*sqrt(98)).\nAnswer: -11*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/2)*z)**(7\/11)\/(z*z**(4\/5))**(2\/21))**(-46) assuming z is positive.\nAnswer: z**(-25139\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 p when four letters picked without replacement from {b: 7, p: 3, n: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25017672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times -480323?\nAnswer: -17771951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16350*o**2 + 14*o**3 - 16350*o**2 + 0*o**3 - 4*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.5 (c) 242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, w: 1, j: 2, o: 6, m: 2}. Give prob of picking 1 v and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.71 + -1.29. Which is the nearest to f? (a) -7 (b) 2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 352 (b) 1\/8 (c) 283 (d) -0.022 (e) -1\/6 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38, 29, 150, 331, 578, 897, 1294, 1775?\n\"Answer: h**3 + 21*h**2 - 3*h - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.97 + -0.03. Let o be (-1175)\/364 + 1 + 2. Let y = o - 3\/52. Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 839855248 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-1)\/4)*(-10192)\/1911.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -846*u**3 - 4*u**2.\nAnswer: -2*u**2*(423*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420453703 to the power of 1\/2, to the nearest integer?\nAnswer: 49198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23400 and 17445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100001 - -1101000001101011?\nAnswer: 1101010010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1708705 divided by -5\nAnswer: 341741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75168, 74682, 74196, 73710, 73224?\n\"Answer: -486*s + 75654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 700816 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-6)*(-54)\/45. Put -2\/5, o, -1\/5 in increasing order.\nAnswer: -2\/5, -1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104371389 divided by 124697?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -651 + 866. Is -10 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6231 - 0.31.\nAnswer: 3.3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 1. Let w(g) = g**2 + 11*g - 6. Let x(s) = -11*b(s) + 2*w(s). Find the first derivative of x(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83438\/18465 - -18\/1231. Let u = 4891\/22 + -1337\/6. Calculate the common denominator of u and b.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*g + 10*g = -4104 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhxhxvxxxvvgxyyyx. What is prob of picking 2 v and 1 x?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007393234 to 6 decimal places.\nAnswer: 0.000739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 4}. What is prob of sequence xh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1. Let a = 114 - 114. Suppose b = a, 5*g + 0*b - b + 10 = 0. Let d(j) = 3*j + 3. Give g*f(t) + d(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-105)*9\/8*(-490)\/168*1?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19\/4 - -125\/28. Is -763.4 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 15*v + 3*v**2 + 4*v**3 - 6*v.\nAnswer: 4*v**3 + 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) + 3\/6. Let f(v) = -2*v**2 - v + v**2 - 4*v**2 + 4*v**m + 3. Suppose -7*a + 4*a - 9 = 0. What is f(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4814303.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -27*m + 9006. List the prime factors of m.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49327108 greater than or equal to 394616869\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 617835.\nAnswer: -2471340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bigebobmieibio. What is prob of picking 2 b and 1 m?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49175125*b**6 + 5*b**4 - 1035347439*b**2 wrt b.\nAnswer: 5901015000*b**3 + 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzmmhhmm. What is prob of picking 3 m and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*s**2 + 330*f**2*s - 23*f**2 + 2073*f*s**2 + 2*f*s + 8*s**2 - 2 wrt f?\nAnswer: 2*s**2 + 660*s - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 46753.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*g - 2 + 20*g - 47*g - 97*g - 8*g.\nAnswer: -169*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9 - -3 - (-100)\/(-24) and 44\/25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.034, -1\/2, -0.1 in descending order.\nAnswer: -0.034, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/311856 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n - n)*(306472 + 322404 - 639400).\nAnswer: 31572*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3\/8 (c) 0.3 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/2)\/((-18)\/(-45)). Suppose -2*d + t = w - 8, 4*d - 4*w + 4 = 0. Suppose -2*a - 2*a = 8, 0 = -2*i + 5*a + 16. Is d smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 233 and 91.\nAnswer: 21203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2038 + -2002. Which is the nearest to 14? (a) 4 (b) s (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 8:03 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -210 - 2*o**2 + 4*o**2 + o - 7*o**2 + 211. Determine q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 4)*(-6*m + 0 + 0) - 2 - m + 2 as c + b*m and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -10\/3*v**3 + 0 + 23\/24*v**4 - 5*v**2 + 0*v. Let r(t) = 8*t - 7. Let c be (-1)\/(1\/17*-1). What is c*r(k) - 6*j(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13941536.64 rounded to the nearest one hundred?\nAnswer: 13941500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -37, 22, 1 in descending order.\nAnswer: 22, 18, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131064, -263076, -395088?\nAnswer: -527100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57\/2 - 28. Suppose 4*h + 5*b + 29 = -3, -3*h = 5*b + 29. Let q = -2 - h. Is k at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 4*p**2 + 3. Let k(d) = d**3 - 4*d**2 + 2. Determine 6*k(g) - 4*u(g).\nAnswer: 2*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/8 and -93\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {q: 2, p: 12, v: 1, n: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*y = -2*j, 0 = 5*j + 3*y - 28. Solve -j*k - 7 = -4*t, -3*t - 4 = k - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 - 12*l + 14. Let o(i) = -5*i**2 + 12*i - 15. Let u(j) = 3*g(j) + 4*o(j). Determine m, given that u(m) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 34*r + 374. What is h(-9)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 616 and 846104?\nAnswer: 9307144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53553.\nAnswer: 3, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -0. Suppose -d*a + a = 0. Which is bigger: 2\/19 or a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 + 18*t**2 - 277*t + 965. Calculate l(5).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 27. Let u be s(9). Put u, -1, -3 in descending order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 3, -6, 11, -15, 4 in ascending order.\nAnswer: -15, -6, -2, 0, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l + 8. Suppose 156 = 27*r + 25*r. Which is the second biggest value? (a) 0.7 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.68 - -6.18. Sort -22, a, 0, -4 in decreasing order.\nAnswer: 0, a, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 74 + 37)*(-9*k - 84 + 84) as j*k + w and give j.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 + -0.6. Let n = k - -3. Let t = n - 0.99994. Round t to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 10. Let r be j(5). Let s = 23 + r. What is the remainder when 11 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 71) + (0 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20621, 41608, 62555, 83462?\nAnswer: 104329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26263327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 + 83*l - 273. List the prime factors of k(-46).\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/16 - ((-35)\/(-42) - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:14 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 685\/119 + -6677708\/1160131. Let k = s + -1062695\/175482. Let o = 318\/13 - 2143\/52. Calculate the common denominator of o and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 21.67, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t**2 + t. Let s(u) = -4*u**2. Calculate p(s(z)).\nAnswer: 288*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**2 - 30*v**2 + 13*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/4539 and -119\/6?\nAnswer: 9078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 1040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o + 11 + 15 - 28.\nAnswer: 31*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (4 - 1) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) + 4\/56*23. Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/3 (b) 0.3 (c) -0.072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 8*o + 7. Let s = 7 - -1. Determine c(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-15))\/t**(1\/21)*(t*t*t*t*t**(-8)*t)\/(t*t\/((t\/t**(10\/3))\/t)))**(4\/7) assuming t is positive.\nAnswer: t**(640\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274336 divided by -17146.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fofdyoddfoddy. What is prob of sequence yy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 4:26 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 12 + 6. Let d be l - (-2031)\/(-1358)*2. Let t = 13\/97 + d. What is the common denominator of t and -81\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 88 - 104. Suppose -4*j - 8 = q, 5*j = l - 21. Suppose 0 - 1 = -5*k + 3*z, -15 = -5*z. Sort l, -3, k, 3 in increasing order.\nAnswer: -3, l, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 21*n**3 + 274*n**2 + 17*n + 61. Give z(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:14 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1115\/681 + 6281221\/3496935. Let y = p - 2\/395. Put 1\/5, y, -2 in decreasing order.\nAnswer: 1\/5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*c - 5*c - 343 = 0, 2*c = 5*p - 342. Let z be 50\/(-4)*p\/5. Let y = 239 + z. What is the greatest common divisor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -1\/8*c**4 + 0*c**3 + 0*c + 0 + 26*c**2. Let i(q) be the third derivative of q**5\/60 - 18*q**2. Calculate i(r(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -36519975 divided by -3\nAnswer: 12173325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148321 + 1?\nAnswer: -148320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 - 11*b**2 - 5*b + 4. What is j(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 1379*d - 1375*d + 88, 2*f + d - 17 = 0. Suppose 3*h - 9 - 63 = 0. What is the lowest common multiple of h and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -19. Let d be 4\/m + 5\/7 + 3. Solve -d*y + 26 = 5*g, -y - 5*g + g + 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 0.8. Let o be 2*1 - 2\/1. Let r be (o - 3)*(-10)\/12. What is the smallest value in p, -4\/3, 2\/9, r?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1161451.\nAnswer: -2322902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 631 - -12?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 5*c + 12. Let x be u(-4). Let h(r) = 6*r - 3. Let j be h(6). Let f be (j\/55)\/(3\/x). Is f greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 62 - 3900*s - 116 to q + u*s and give u.\nAnswer: -3900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 12) in base 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5804525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 18 = 4*k, 4*k + 0 = -20. Let j(y) be the second derivative of 0 - 2*y - y**u - 1\/3*y**3 - 1\/24*y**4. Let j(p) = 0. Calculate p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2171513*h**3 + 3075135*h?\nAnswer: -13029078*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270310680 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: Simplify 5*((((sqrt(891) + 1 - sqrt(891))*-3)**2 + (5*sqrt(88)*-2 - sqrt(88))\/sqrt(8))*2 + 1).\nAnswer: -110*sqrt(11) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10 and 30\/113887.\nAnswer: 1138870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/140 and -137\/10416.\nAnswer: 52080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157298151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:01 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 28, 13, -24, -89, -188, -327, -512?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/255)\/(8\/12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 5) to base 13\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 17*u**4\/12 + 3*u. Let r(q) be the third derivative of -q**4\/24 - 347*q**2. Give i(r(o)).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 97*h - 1. Let r(n) = 6*n**2 - 9736*n. Determine r(g(w)).\nAnswer: 56454*w**2 - 945556*w + 9742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43480*l + 4434 wrt l?\nAnswer: 43480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 = -5*u - 154. Let s be 6\/21 - u\/(-14). Let p(h) = h**2 + 8*h - 4. What is the smallest common multiple of 3 and p(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7416 - 7405. Solve u*b - 33*b = 66 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6971 - 1?\nAnswer: -6972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 15, -2533, 1 in decreasing order.\nAnswer: 15, 2, 1, -1, -2533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 11) to base 14\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 594.\nAnswer: 41\/594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.7 + -3. Let y = 276 - 3034\/11. What is the biggest value in y, p, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l - 4*u - 146 = 0, 91 = 3*l + u. Suppose -2*t - 3*d + 14 = -18, t + 5*d - l = 0. Solve 3*y + t = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k. Let u(p) be the second derivative of 0*p**3 - 1\/4*p**4 + 0*p**2 + 0 - 3*p. Give u(j(b)).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/4 - 6822*w + 46539684 = 0?\nAnswer: 13644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 197*m**3 - 2980*m**2 + 4*m + 8. What is g(15)?\nAnswer: -5557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28237594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6576.7 - 2.\nAnswer: 6574.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 6, -6, -18, -30, -42?\n\"Answer: -12*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125617111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9268.4 to the nearest one hundred.\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/8 - u**3\/3 - 6*u**2 + 112. Determine n(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1035*z + 994*z + 3550354 = 0. What is the highest common factor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10001?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 16*u**2 - 15*u. Let s(j) = -2*j**2 + 16*j - 15. Let t be s(8). Let p be x(t). Solve 5*r + 5*h = 0, 4*r + p*h - 10 = -2*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73716530 is divided by 954.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -12.162, -5 in descending order.\nAnswer: -0.2, -5, -12.162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8)*-6*4\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) + 47\/5. Let n(s) = -6*s - 37. Let j be n(-8). Suppose -15*t = j*t - 104. Solve -t*w + w = -d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vomwkwnn. What is prob of picking 2 k and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 174818?\nAnswer: 1398544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006289 rounded to 4 dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15, -5 in descending order.\nAnswer: 15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 401 + 96.3\nAnswer: 497.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = 4*x. Let v(k) = 1 - 3*k**2 - 2*k**2 - k + 3*k**2 + k**x. Let n(s) = -4*s**2 - 3*s + 3. Determine 2*n(u) - 6*v(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**2 + 11*d - 11. Let i(n) = 4*n**2 + 5*n - 5. Let m(z) = -6*g(z) + 13*i(z). Let x = 11 + -13. Calculate m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2 - 2)*(-15 + 2 - 2)*(-s**2 + 2*s**2 - 3*s**2).\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**4 - 42270*m**3 + 84555*m**2 + 42270*m - 84552 = 0.\nAnswer: -14092, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (2 + -1)) + 10 + -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*h - 26 + 15, 5*g = -h + 2. Let o(z) = -17*z - 1 + z**3 + 16*z - 1 + 0 + 2*z**2. Calculate o(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 7714?\nAnswer: 7714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/27 or 2\/129?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 70\/(-40))*(1 - 9). Solve 0 = 5*j + 30 - y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 15\/9)*-6. Let r(d) be the first derivative of -1 + 0*d**2 + 0*d**3 - v*d - 1\/2*d**4. Differentiate r(x) with respect to x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 4*f**2 - 2*f - 1. Let m be o(3). Let s = -2 - 3. Which is the smallest value? (a) 2\/7 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 15*r**2 + 13*r + 14. Let p be a(14). What is the first derivative of 2 - 5*t**4 + 0*t**3 + p*t**3 - 10 wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 2)*(36*r + 80*r**4 - 36*r).\nAnswer: 640*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/13540104 and 45\/19557928.\nAnswer: 176021352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.664 + 0.336. What is the closest to 3\/7 in w, 1, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 12320.\nAnswer: -19\/12320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j - 15*j - 36*j.\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -46, -50?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122231734 a multiple of 1124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/12 + 152\/6. Let v(w) = p*w - 2*w**2 - 13*w - 13*w. Let q(z) = -3*z. Calculate v(q(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4646 = -110*j + 105*j - 41*j for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 4 - 4)*(0*n - 4*n + 3*n)*(n**2 + 0*n**2 - 4*n**2) + 3*n**4 - 2*n + 2*n.\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:50 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -a + 88, -o = -3*a - 6*o + 344. Suppose -3*k = -33 - 3. What is the greatest common factor of a and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -282 and 7.\nAnswer: -1974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173552898 divided by -5104497.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1422 (base 9) to base 12.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138879037 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: Solve 2*v = 12*x - 40, -1 = -x + v - 2*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 11*s - 5. Let o be i(-7). Let q = o + 33. Solve 4*t + 9 + 7 = q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 3 - 3)*(-16*b**2 - 1546*b**3 - 37*b**3 - 9*b**2 + 25*b**2).\nAnswer: -3166*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8317, -16640, -24963?\nAnswer: -33286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2\/3 - 12969332*f + 77815976\/3 = 0. Calculate f.\nAnswer: 2, 9726997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/1346)\/(12\/16). Let n = -4048\/3365 - q. Find the common denominator of n and -37\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -82*s**3 + 138*s**2 + 15*s - 1. Let k(y) = -69*y**2 - y. Determine -2*k(f) - w(f).\nAnswer: 82*f**3 - 13*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s - 5. Let d be c(4). Let u be (0 - -8)*(d + -3). What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 8. Suppose 0 = r + 5*u - 11 + f, r - 4*u = 10. Let b be (6\/3 - 10)\/r. Solve 3 = -7*j + b*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263436 is divided by 972.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253147253?\nAnswer: 277, 913889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from {q: 11, w: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1084\/(-504) + 32\/(-56) and -109\/336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10014 divided by -2?\nAnswer: -5007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Suppose -y*u - 3*x = 27, x + 1 = -2*u - 16. Let o(m) = m**2 + 8*m + 2. What is the units digit of o(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2876847, 5753693, 8630539, 11507385, 14384231?\n\"Answer: 2876846*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) -3\/10 (c) 0 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/6 - (-10)\/20. Let g = -5 + 0. Which is the nearest to -1? (a) 1\/5 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12 = -0. Let y be (-33)\/(-7) + w\/(-21). Suppose 2*p - y*d + 17 = -0*p, 23 = 2*p + 3*d. What is the highest common divisor of 36 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266 + 278 - 544 - 4*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -13\/3656?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.03516 from -362.\nAnswer: -363.03516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -74. Let w = 43 + h. Which is the closest to w? (a) 2 (b) 1\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9945750 and 5364?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3366 by -187.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22959, 22966, 22977, 22992?\n\"Answer: 2*l**2 + l + 22956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -310 - -306. Let h be s\/(-60)*(-258)\/(-4) - 4. Find y such that 1\/5 + h*y**3 - 1\/10*y**2 - 1\/10*y**4 - 3\/10*y = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:06 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 462053576 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 10) to base 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 11*k**2 - k - 5. Let v = -25 - -14. Give l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 5 (c) 52882\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 105.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 69 = 22. Let k = -23 - n. Solve y - 2*a - 8 = -5*a, -5*y = -a - k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -30 - (0 - -2)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -19. Let u(q) = 0*q**2 + 5*q**2 + 6 - q**3 - q**2 + 5*q. What are the prime factors of u(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768083339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {p: 1, r: 2, w: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o - 5*j - 7 = 0, 3*o - 4*j = 8. Let f(d) = d**2 + 2. Does 9 divide f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -39, -70, -113, -168, -235?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-3))\/(-10*12\/(-360)*-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1196 = 12*n - 16*n, -5*n - 2*o = -1468. Calculate the remainder when n is divided by 96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1048780, -5, 22 in ascending order.\nAnswer: -1048780, -5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6344277.8 rounded to the nearest 10000?\nAnswer: 6340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5 + 5. Let q = -2 - h. Is -2 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*m + w - 54, -3*m + 21 = -3*w. What is the third derivative of -2*b**2 - 7*b**3 + 7*b**3 - 15*b**4 - m*b**2 wrt b?\nAnswer: -360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/60 - 5*c**4\/24 + 7*c**2. Find the second derivative of y(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*j + 9252, -p - 3*j - 3684 = -3*p. Calculate the highest common divisor of 2079 and p.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 2*s - 7. Let n be r(-6). Let f = n + -77. Which is the nearest to f? (a) 4 (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - -1) + -11442 + 11464.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 + 0 + -207)\/(-2) is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 227, 455, 1063, 2219, 4091, 6847, 10655, 15683?\n\"Answer: 28*y**3 + 22*y**2 - 34*y + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c68c (base 14) in base 4?\nAnswer: -2023222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c401 + 19c?\nAnswer: c59d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 8?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 40. What is the least common multiple of 5 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 233, 291, 337, 371, 393?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5\/4 - 63*g**4 + 16293*g**3\/4 + 280035*g**2\/2 + 263250*g = 0.\nAnswer: -117, -25, -2, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5368\/(-732) + 3 + 4 - (-1)\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 + 242. Which is the second biggest value? (a) i (b) -7\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-4) + (-48)\/(-8)*(-8196)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 7:52 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/16*-10 + 6\/48. Suppose 0 = y*m - 3842 - 214. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a87 - 24?\nAnswer: 1a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 3*u**2 - 7*u + 1. Is 53 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 117*k + 705. Let w be i(-6). Solve w - 21 = 9*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*b**3 + 0*b**4 - 3*b**2 + 3*b**4 + 3*b**5 + 6*b + 9*b**3 - 11*b**3.\nAnswer: 3*b*(b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -973 + 20417\/21. Let b = t + 1\/3. Let k = 0.001 + -1.001. What is the closest to k in -0.3, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 13*n**5\/60 - 3*n**4\/8 - 2*n**3\/3 + n**2 + 5*n - 63. Let z(p) be the second derivative of f(p). Find y, given that z(y) = 0.\nAnswer: -4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2. Let b = -24 - -27. Let s(w) be the third derivative of 0 + 1\/12*w**4 + w**2 + 0*w**b + 0*w. What is s(n(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1411141 * 0.3.\nAnswer: -423342.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -19. Let q be 0\/(-4) + v + -3. Suppose 5*z = -39 + 4. Sort z, 0.3, q in increasing order.\nAnswer: z, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 647*a + 268. Let w(r) = -323*r - 124. Give -6*j(g) - 13*w(g).\nAnswer: 317*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -141, -843, -2669, -6159, -11853, -20291, -32013?\n\"Answer: -90*f**3 - 22*f**2 - 6*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 4*r - 70 = 0, 6*r + 113 = 77*y + 3*r + r + 958 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662470388.\nAnswer: 2, 3, 251, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 2 + n + 4*n)*(8*n**3 + 3*n**2 - 3*n**2) as f*n**4 + v*n**3 + s + z*n + g*n**2 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16360248.\nAnswer: 2, 3, 681677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-1)\/(-1)*2\/6. Suppose -12*t + 757 - 121 = m. Calculate the highest common divisor of t and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8074700 divided by 2018675.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) -7 (c) -3 (d) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -789 divided by 4?\nAnswer: -789\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 2408.\nAnswer: -481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19034957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*l = -411*l + 7*t - 516, l - 131 = -t - t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -50 - -28 - (-57 + 2 + 8)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56486 - -0.86.\nAnswer: 56486.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 125, 178, 211, 218, 193?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174854 and 46.\nAnswer: 4021642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-748)\/102)\/(0 + 2\/(-3)). Let c(l) = -6 + 35 + 5*l + 12*l. Let b(h) = 34*h + 58. Let n(a) = s*c(a) - 6*b(a). Find the first derivative of n(i) wrt i.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.647 + -675.647. Let w = p - -675.4. Put w, 0.2, -2\/3 in descending order.\nAnswer: w, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106 - -25585?\nAnswer: 25702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*-8\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-4 - -5)\/1. Suppose -2248 - 798 = -r*c - v, 3*c = 4*v + 4558. Suppose -6*i - c = -8*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*t = 499 - 3693 - 4398 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44087071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus 14.672931?\nAnswer: 22.672931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/11 and 2\/12 - 4829\/17490.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r + 1550. Let z(a) = -8*a - 1033. Let w(p) = -5*q(p) - 8*z(p). What is the units digit of w(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 32*s = -279. Calculate the remainder when 89 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 equal to -962\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38506781*o**4 + 9764915*o wrt o.\nAnswer: -462081372*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 3*p - 66. Calculate the greatest common factor of 170 and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*g - 528 = 0, 7 = -2*g + 1. What is the greatest common factor of x and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -501.523808 to 1 decimal place.\nAnswer: -501.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19033 - 26395 + 4192*r**2 + 6555*r**2 - 4173*r**2 wrt r?\nAnswer: 13148*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.25 - -0.75. Let w(q) = q + 7. Let i be w(-11). What is the closest to -1\/4 in -5, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86387998.\nAnswer: 2, 3463, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -1\/2 (c) 5854 (d) -3 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2\/23 - 562*s\/23 - 5420\/23 = 0.\nAnswer: -271, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 3*h = 55720. Suppose 4*v - 2*p = 14244, -5*p + 3744 = 3*v - h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {m: 8, y: 3, u: 6}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (29 - 10 - 66).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 158*l**2 + 1 + 16*l**3 - 159*l**2 + 1 in the form b*l + a + i*l**3 + r*l**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + 48*g - 400. Determine u(14).\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 56. Let z = n - -146. Let b(j) = -4*j - 3. Let h be b(-4). What is the greatest common divisor of h and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1128, 2266, 3438, 4662, 5956, 7338, 8826?\n\"Answer: 3*w**3 - w**2 + 1120*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 + 25 = -35*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/9, -4, -0.3, -3\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from {n: 1, g: 1, p: 1, z: 5, i: 1, d: 3}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10463567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*l**3 - 19*l + 15140 wrt l?\nAnswer: 261*l**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/5)\/y)**(2\/45) assuming y is positive.\nAnswer: y**(-2\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 25*a**2 - 9*a - 35. Let k be l(-26). Suppose -3*c + k = -241. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*u**2 - 146*u - 2\/3*u**3 + 380\/3.\nAnswer: -2*(u - 19)*(u - 10)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243*s**3 + 226172*s + 116181470.\nAnswer: 729*s**2 + 226172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let o(r) = 4*r. Suppose -2*t = i - 6*t - 11, t = -i + 6. Give i*z(c) - 2*o(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*k + 3*o, 3*o = -2*k + 7*k - 89. Let p(q) = 7*q - k + 3*q - 11*q. Let i be p(-16). Solve i = g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/119 greater than 0.0789468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323 = -158136*y + 158155*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*g\/g**(-7))\/(g**(-10)*g**(2\/11)) assuming g is positive.\nAnswer: g**(119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 12*v + 13. Let i be m(-12). Suppose 6*k = 5 + i. Let f be (k\/18)\/((-9)\/(-6)). Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllslqcclusssssssl. Give prob of picking 1 q and 1 u.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 245735794*u**2 - 166927995 wrt u.\nAnswer: 491471588*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*o**2 + 2*o**4 - 38174*o**3 + 38174*o**3 - o**3 + o**4 + o**3 + (-4*o**4 + o**4 + o**4)*(0 + 4 - 2).\nAnswer: -o**4 - 63*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(13)*-3 + 2 + 1).\nAnswer: -15*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 74. What is the second smallest value in -1\/8, -2\/17, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - 42*h**2 + 14*h - 23. Does 35 divide n(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 88. Is 4 a factor of d(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1422 = -2*y, 564 = r + 2*y + 204. Suppose -12*k + r + 1026 = 0. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 5*n**2 - 4*n + 6. Let k be t(4). Solve -3*m + g = -5, -3*m + k*g - 4*g + 10 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/4 + 5*h**4 + 57*h**3\/2 + 58*h**2 + 197*h\/4 + 15 = 0. Calculate h.\nAnswer: -12, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 96\/72*3\/2. Find b, given that 3*b**3 - 7 - 84 + 87*b**j + b**3 + 462*b + 10 - 40 = 0.\nAnswer: -11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 3, -0.323?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/14 and -59\/7472.\nAnswer: 52304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - 18. Let z be (r\/60)\/((-2)\/(-10)). Solve -3\/2 + 0*b**3 + 0*b + 3*b**2 - z*b**4 = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 15*i**3 - 4 + 5.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + u - 4 = 0, -2*u = 4*k + 7 - 15. Let o be 0 - (5\/(-2) + 2\/4). Factor 1\/2*p - 1\/2*p**5 - p**o + 0*p**3 + k + p**4.\nAnswer: -p*(p - 1)**3*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35454, -69296, -103138, -136980, -170822, -204664?\nAnswer: -238506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1320, -1265, -1178, -1059, -908?\n\"Answer: 16*x**2 + 7*x - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6447\/(-2763))\/((-10)\/3)*(-26)\/182?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1742*x + 43540. Give z(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 - 10*q + 15*q - 4*q - q**4 + (3*q**2 - 3*q**2 + q**2)*(-q**2 + 4*q**2 - 4*q**2) as l*q**2 + o*q**4 + j*q**3 + u*q + m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15111 (base 7) in base 9?\nAnswer: 5646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634 - 224 = 54*o - 197*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -615 + 6767\/11. Let k = -94 - -101. Which is the smallest value? (a) 3\/2 (b) k (c) -0.4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125121046 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d, 2*v + 7*d = 2*d + 20. Suppose b + b + 45 = v*o, 5*o - 45 = -4*b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 444680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 10*x + 23*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3647 = -541*s + 20*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 10*l + 48. What is z(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -85*p - 89*p + 6 + 171*p. Let v be w(-18). Suppose -3*a + 17 + 99 = -4*y, 100 = 3*a + 4*y. What is the greatest common factor of a and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*h + 8, -h = -3*q - 408 + 416 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -105 - 10539*c - 62 - 45 + 61. Let u be o(-9). What is u rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2012001 (base 4) to base 6\nAnswer: -103413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -203\/1119960 and -73\/2779160.\nAnswer: 75037320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-5))\/((-76)\/(-95)))\/(86\/(-518752)*-156).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-12) + (-345)\/(-207) + (-2)\/12. Find t, given that 0 - d*t**2 + 4\/3*t - 1\/3*t**3 + 1\/3*t**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 26 = -2*z, 9 = 2*u + 3. Let w(p) = -p + 16. Let d be w(z). Suppose d - 1 = 2*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**2 - 10*i + 184. What is w(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*l**2 + 47*l**2 - 96*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + d - 69 = -83, 3*a - 60 = 3*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -85. Suppose -a*w = -0*w - 14. Differentiate 104*z**2 - 8 - 21 - 139*z**w wrt z.\nAnswer: -70*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(833)*-3*-2)**2 + 4 + -4 + 0 + sqrt(17) + 1 + -1.\nAnswer: -59976 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561471 is divided by 111?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 19 = -44*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/9 + 40*z**2\/3 + 398*z\/3 - 1316\/9 = 0?\nAnswer: -47, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323281631?\nAnswer: 811, 398621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5315 (b) 1\/4 (c) 9 (d) 2 (e) 0.15 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28676.44ml in litres?\nAnswer: 28.67644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256432454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11121012221211 (base 3) to base 8.\nAnswer: 11247352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -64, 4, -8, -4 in decreasing order.\nAnswer: 5, 4, -4, -8, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 530272 + -208239. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47976970 + 142096093 = 357*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 7*h - 1. Let i be r(-6). Let y = 339 + -259. Suppose m + y = 4*m + i*k, 4*m - 2*k - 150 = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**8\/336 - 254*u**7\/105 + 10837*u**6\/20 - 32131*u**5\/15 + 64009*u**4\/24 - 2028*u**2. Determine f so that i(f) = 0.\nAnswer: 0, 1, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-24))\/(((-6)\/504)\/(93\/620)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*v**2 - 151*v**2 - 5 + 5 - 179*v**2.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 296, 469, 642?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230451711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 2*z**2 + 4*z + z**3)*(-2*z - 38115*z**2 + 0*z + 37799*z**2).\nAnswer: -316*z**5 + 630*z**4 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 50 = 3*i. Let o = 42 + i. Suppose 7 = -5*q + o. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 4808.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 867 and 1285761.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -14. Let s = r - -35. Which is the nearest to 1? (a) 4 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11709 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -16*i - 44. Let p(d) = 21*d + 42. Calculate 3*p(k) + 4*z(k).\nAnswer: -k - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15 - 17 + 29 + 3*t**2 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 10*q - 2. What is the least common multiple of l(11) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.3 + 8.3. Let q = -0.7 + 0.3. Which is the fourth smallest value? (a) y (b) q (c) 2\/3 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2. Let l(s) be the third derivative of s**5\/4 - s**4\/12 - 236*s**2. Determine g(l(p)).\nAnswer: 900*p**4 - 240*p**3 + 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43892411 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: Expand (-6*j**3 + 3*j**3 + 2*j**3)*(-j + 0*j + 0*j) + 14744*j**4 - 79895542*j + 79895542*j.\nAnswer: 14745*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2915 divided by 5.\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 742700.978336 and 2.\nAnswer: 742702.978336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzz when three letters picked without replacement from {o: 3, z: 4, m: 2, q: 1, y: 4, g: 3}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 77*w**2 + 299*w + 195. Calculate g(-42).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 5*y, 0 = 5*y - 6*y - 3*r - 15. Suppose 2*t + 0*t - 154 = 0. Calculate the remainder when t is divided by ((-10)\/y)\/(15\/90).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-14))\/(-3))\/((-1300)\/700).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 306\/11?\nAnswer: 306\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500058768 divided by 1825032.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 2436?\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6\/2)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/5*((-6)\/882)\/(70\/60).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4057*n**2*o*v - n**2*o + 3*n**2*v - 13*n*v + o*v - 2*o + 6*v wrt n?\nAnswer: -8114*o*v - 2*o + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.043, 11.17, 0, -2.\nAnswer: -2, -1, 0, 0.043, 11.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 4*v**2 - 5*v - 6. Let f(q) = -q - 5. Let j be f(-10). Calculate u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.412738l?\nAnswer: 7412.738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*g**3*s**3 - 11*g**3*s**2 - 5*s**5 + 27*s**2 wrt s?\nAnswer: -96*g**3 - 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 31 + (-74 - -50).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3516, -3778, -4486, -5862, -8128?\n\"Answer: -37*o**3 - o**2 - 3478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 - i - 1. Let r(p) = -7*p**3 + 15*p**2 + 4*p + 5. Determine -5*k(y) - r(y).\nAnswer: 7*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1 + (-6 - 2 - 4)*(0 + 2 - 3))*(9*w**2 - w**2 + w**2).\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + d = 8, -5*d - 6 = 3*m - 9*d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*c - 3*m, -6*c + 2*c = 4*m - 88. Suppose 22*p - 42 = c*p. What is the third derivative of -p*k**2 + 13*k**2 + 18*k**4 - 24*k**2 wrt k?\nAnswer: 432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -185*(3670\/(-350) + (-4)\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 234*q**2 + 225*q + 314. What is the lowest common multiple of 13 and z(-118)?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/185 at most 714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u**2 - 1127*u + 177. Calculate x(111).\nAnswer: -1710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40.95 + 0.4\nAnswer: 41.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 220034 (b) -0.6 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1223948.56 - -110331.\nAnswer: 1334279.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13992 by 6618.\nAnswer: -2332\/1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**2*u*u*(u\/(u*u\/u**5))\/u*u\/((((u\/(u*u\/(u\/(u\/(u*u**(-5\/2))))))\/u)\/u)\/u)*(u*u**(1\/4))\/u assuming u is positive.\nAnswer: u**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:00 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o = 18. Let v = 11 + o. Find the second derivative of -b**v + b**2 + 6*b + 3*b**2 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/((-460)\/(-35))*(-6)\/14\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3476009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -8*s**5 + 646*s**4 + 17066*s**3 + 127706*s**2 + 297846*s + 66744 = 0?\nAnswer: -9, -4, -1\/4, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -28252600 to the nearest 100000.\nAnswer: -28300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4752878 is divided by 181.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -740.\nAnswer: 3\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308*k**2 - 114*k**2 + 287*k**2)*(15 - 1 - 4).\nAnswer: 4810*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 64 = -3*v + 21, 0 = 3*z + 15. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from nkibuibgn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 153.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006564630948 to 6 dps.\nAnswer: 0.006565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139102749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -561, -1139, -1715, -2289, -2861?\n\"Answer: r**2 - 581*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/883 (b) -5 (c) -74 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -42. Let r(f) = 2*f**2 - 3*f + 6. Calculate the remainder when r(4) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 542\nAnswer: -1\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120200 + 0?\nAnswer: 120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 24. What is the smallest common multiple of y and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 6*z**2 + 2*z - 7. Let d be k(6). Suppose -h + d*h - 12 = 0. Let b be (-80)\/(-50) + (-2)\/(-5). Solve -15 = -b*i + h*y, 8 = i - y + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.367855um in meters?\nAnswer: 0.000001367855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21\/1796 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t - 2. Let r(a) = 0 + 2 - 9 - 13*a. Suppose 4*z + 11 = -3*v + 2*v, 4*v = -2*z + 12. Let p = v - 7. Calculate p*r(d) + 7*m(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*v**2 - 123*v**2 - 122*v**2 + 89*v + 320*v**2.\nAnswer: -41*v**2 + 89*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 2. Let l be h(5). Suppose -5 = 11*p - 16*p. What is the nearest to 0 in l, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5510*w = -2*v + 5513*w - 11, 83*v = -4*w + 443 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27881049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -4, -0.5, 85.6, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/1093 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 759936 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 8. Let r(u) = -2*u**2 - 2. Let m(a) = -6*a**2 - 5. Let k(b) = -2*m(b) + 5*r(b). Determine q(k(w)).\nAnswer: 6*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*q + q**2 + 4*q**3 - 377*q + 1 - q**2.\nAnswer: 4*q**3 - 884*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*z**5 + 50*z**4 + 7*z**2 + 68575*z?\nAnswer: -220*z**3 + 600*z**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*c + 47 - 852 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(7*(-5)\/(-35))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 11*g**3 + 17 + 2 + 14 as n*g**2 + b + y*g + c*g**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2550 - 1323. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 3*w**2 + w + 2. Let f be h(-3). Which is bigger: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 5*z**4\/12 - 30*z**3 + 810*z**2 - 9*z - 105. Let r(h) be the first derivative of c(h). Factor r(a).\nAnswer: 5*(a - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a067 (base 11) to base 12.\nAnswer: -20835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 238 + -235. Suppose p*f + 433 = 4*h, 2*h = 4*h - 4*f - 214. List the prime factors of h.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -11808300?\nAnswer: -1\/2361660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123*k - 6*k**2 + 66*k + 63*k)*(54 - 54 + 6*k).\nAnswer: -36*k**3 + 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 12*x**2 - 22*x + 22. Let u be s(10). Solve 6*h = u*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Suppose q*v = -u - 2*u, 5*v = -u - 8. Let s(m) = -m. Let i(a) = 7*a - 1. Let b(y) = -i(y) - 4*s(y). What is b(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 35 = 2*i. Let w be ((-14)\/4)\/i*-24. Let x(s) = s**3 + 3*s**2 + 2. Let p be x(-3). Solve p*j + w = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, w: 1, j: 6, r: 1, g: 1}. Give prob of picking 1 g and 1 w.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-4)\/(-14). Let i(r) = r + 89. Let o be i(w). Suppose -11 - o = -y. Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42195760, -168783039, -379761830, -675132127, -1054893924, -1519047215, -2067591994, -2700528255?\nAnswer: -3417855992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -8 - -1) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:17 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 53 = -299. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/3))**(-1\/3)\/(m**(1\/11)*m**(13\/6)\/m*m) assuming m is positive.\nAnswer: m**(-535\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7887404 divided by 172\nAnswer: 45857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -373\/4, -3, 73, 0, 0.3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (1 - 2) + 3. Let w(r) = 5*r - 5. Let h(d) = 1. Let p(a) = -4*h(a) + w(a). Let i(m) = -11*m + 19. Calculate k*i(o) + 13*p(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 - 12*n + 61. Let l(j) = -2*j**2 + 6*j - 30. Let h(o) = -5*l(o) - 3*x(o). What is the derivative of h(m) wrt m?\nAnswer: -10*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1407 less than -251920\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/23 + 24026*x**2\/23 + 72144070*x\/23 - 72168098\/23 = 0?\nAnswer: -6007, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqx. Give prob of sequence qxq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924593821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 27 = -3*u, 2*u + 123 = -2*x + 137 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 141, 3, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 1929 = -2*c - 1919, 4*p + 5*c - 11 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/9 + 3230108*s\/9 - 6460232\/9.\nAnswer: 4*(s - 2)*(s + 807529)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4\/7 - 81414*p**3\/7 - 827429686*p**2\/7 + 22402274310*p\/7 + 3318517512 = 0?\nAnswer: -20367, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*t - 3. Let g be 5\/(t + 5\/2). Is -10 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000810948 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/5 + 198*n**3\/5 + 1084*n**2\/5 - 2976*n\/5 = 0.\nAnswer: -93, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60037094*o**5 + 13571342*o wrt o?\nAnswer: -1200741880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, j: 5, w: 1, m: 1, f: 1, g: 1}. Give prob of sequence gsf.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11336, -22726, -34136, -45566, -57016?\n\"Answer: -10*p**2 - 11360*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 391784.\nAnswer: 13\/391784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3361, 4\/31, -2, 8, -4 in increasing order.\nAnswer: -4, -2, 1\/3361, 4\/31, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12. Solve 5*b - b + 20 = s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 17, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 850 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 16890534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.28 * 1.5.\nAnswer: 27.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 8*b + 920 = 5*s, -3*s - 343 = -2*b. Find the second derivative of 28*n + 30*n + b*n**4 + 75*n wrt n.\nAnswer: 2148*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 2*h + h)*(33*h**2 - 2 - 164*h**2 - 127*h**2) to the form m*h + j + x*h**3 + b*h**2 and give x.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3013*n + 3018*n + 4*d = 7, -4*n + 5*d = -22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493903188 is divided by 8401?\nAnswer: 8398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ed9b57 + 17?\nAnswer: ed9b6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 305632550 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 33 = -42 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33372\/11 or 3033?\nAnswer: 33372\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 20 = -13*q. Let d(g) = 4*g. Let r be d(q). Let p(w) = -w**2 - w + 6. Let z be p(-3). Sort 1, 2, z, r in increasing order.\nAnswer: r, z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 1. Let r be d(1). Suppose r = o + o - 6. Let a be o\/6*-2 + 700001. Round a to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 5*x + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than 79?\nAnswer: 78.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -5*q**6\/6 - 232*q**5 - 29335*q**4\/2 + 332920*q**3 - 3706605*q**2\/2 - 4594. What is m in y(m) = 0?\nAnswer: -123, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-18) - 989\/(-1935). Suppose -27*y - 15 = a - 31*y, 0 = -3*a + 2*y - 15. Sort a, u, -2, -0.1.\nAnswer: a, -2, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-12))\/(7\/2 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*l**2*p**2 + 20*l**2 - 456*p**2 with respect to l.\nAnswer: -12*l*p**2 + 40*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 338*l + 675.\nAnswer: (l + 2)*(l + 1350)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-11 - 1) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-131)\/3 + 3 + 2\/(-6). Let t = 50 + l. Let m(g) = 30*g - 25. Let j be m(1). Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from kkqkkkkk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8012067 (base 9) in base 14?\nAnswer: 7cc49a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (38 - (-18592)\/(-504) - (-1)\/((-18)\/65))\/(-5). Suppose 10\/3 - 27\/2*j - z*j**3 + 32\/3*j**2 = 0. What is j?\nAnswer: 1\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/18 and -125\/32478.\nAnswer: 97434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1485077400 to the nearest 1000000.\nAnswer: 1485000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, 87, 0.4, 28.5, -0.3?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11)*a*a**(1\/15)*(a\/a**(2\/19))**(3\/16) assuming a is positive.\nAnswer: a**(-44531\/4560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 + 672*q\/5 - 4851\/5.\nAnswer: 3*(q - 7)*(q + 231)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 15*f - 22. Let z be b(17). Let x be 3*z\/(-9) + 13. Suppose -5*p + 2*p + x = 0. Solve 4*t + p*y = -y + 16, 15 = 3*t + 4*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**2. Let o(h) = 80*h - 2. Give o(s(f)).\nAnswer: -560*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 139, 212?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 1132*o**3 - 1134*o - 390439 + 2455*o**2 + 90*o**4 + 101*o**2 + 387793 + 2*o**5 = 0.\nAnswer: -21, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100101000110000 (base 2) in base 14?\nAnswer: 14c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/25)\/b*b\/b**(-46) assuming b is positive.\nAnswer: b**(1146\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:06 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 6:41 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(833) - (sqrt(833) - (5 + (1*sqrt(833) + sqrt(833) - sqrt(833)) + sqrt(833)) - sqrt(833))))**2.\nAnswer: 840*sqrt(17) + 30088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315133*j + 315528*j + 14220 = 0 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/6*(52\/39*6\/(-4))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340253 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.24, -2\/7, -3, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 1)*(-2*m + 3*m - 4*m) + 0*m + 3*m - m + 0 + 0 - m + (-3 - 1 + 3)*(3*m + 2*m - 7*m) + 2*m + 4*m - 3*m - 5*m + m + 3*m - m - 3*m + 6*m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 194 = -0*k + 2*f, -5*k + 265 = -2*f. Let u be 8\/(-2) + 160\/40. Suppose u = -c - 5*a + k, 0 = -2*c - a - 2*a + 102. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36335376 and 55440?\nAnswer: 181676880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -22769863976574?\nAnswer: 22769863976574.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -6. Let j be (r\/35)\/((-1)\/(-7)). Suppose g - 5*b = 6*g - 15, 3*g + b = -1. Sort 2, g, -1, j in ascending order.\nAnswer: g, -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -21 - 7. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 867, 465, -139, -945, -1953, -3163?\n\"Answer: -101*d**2 - 99*d + 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 16*g. Let c(w) = -34*w**2. What is c(j(q))?\nAnswer: -8704*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 212039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37250 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167931302 by 11995093.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1522551, 6090550, 13703883, 24362550?\nAnswer: 38066551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*l = -37, 88*l - 57*l + 23 = -r + 35*l for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 143*u - 55. Let s(c) = -8*c + 3. Let j(h) = -6*a(h) - 110*s(h). Let n(f) be the second derivative of -f**4\/6 + 34*f - 1. Calculate n(j(g)).\nAnswer: -968*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 201420*f**2 - 4026900*f - 20132000.\nAnswer: -5*(f + 10)**2*(f + 40264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -9. Let q = z + 1. Let s be (4 - 1) + q + -7. Is s >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaaptq. What is prob of sequence at?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.46 rounded to zero decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98003952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 25*i**4 + 9*i**3 - 9*i - 41. Let s(d) = 6*d**4 + 2*d**3 - 2*d - 10. Let p(v) = 2*g(v) - 9*s(v). What is the derivative of p(b) wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-220)\/(-100))\/(2\/10). Let z = 7 - x. Which is the fourth biggest value? (a) 0.2 (b) -1 (c) 3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y + 3*b - 9, 4*b - 12 = 0. Let k be 1 - y*(-3)\/(-6). Solve 2*d + 1 + k = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -589 + 591. Let j = 0.46 - 0.06. Sort q, j, -1\/2 in decreasing order.\nAnswer: q, j, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - m + 20 = 0, -5*m + 16 = 3*i - 0*m. Let p be (i + 9)*1\/2. What is the first derivative of 0 + 3*v**4 - 7 - p + v**4 wrt v?\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*x - 3. Suppose -4*r = -f - 11, 4*f - 1 + 17 = x*r. Let j(m) = 6*m. What is the units digit of j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:26 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1015, 1\/2, 0.09, 1\/5 in descending order.\nAnswer: 1015, 1\/2, 1\/5, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Let x(l) = l - 1. Suppose q + 2 = 4*h + 6, 5*q + 3*h - 20 = 0. Let v be x(q). Let j(w) = v - 3 - w. Give j(k(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let i(h) = 2*h. Let m(k) = 2*i(k) + 4*v(k). Let f(w) = -35*w. Give m(f(y)).\nAnswer: 140*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 274311 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: Let o be (18\/105)\/((-14)\/35). Sort -5, 0.3, o, 5.\nAnswer: -5, o, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*q + 4*b, -10*q + 11*b + 52 = -9*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 164 (b) -1\/13 (c) 3 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/2)*x)**(-15\/2)\/(x**(-2\/5)\/x**(-6)) assuming x is positive.\nAnswer: x**(-487\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17407 and 845.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41562324 (base 8) to base 6.\nAnswer: -513251444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 442292*u**4 + 2*u**3 + 375376*u**2?\nAnswer: 10615008*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:32 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 7:42 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -2. Suppose 2*w + 4*o = 16, -4*o + 4 = -f*w + 3*w. What is the common denominator of 8 and w\/(-7) - (-66)\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11108)\/72 - 1\/(-2). Let i = 154 + m. Which is the nearest to -1? (a) -4 (b) i (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, -2\/11, -2\/3 in decreasing order.\nAnswer: 2.1, -2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -276 + 3?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3e14 (base 16) to base 14\nAnswer: -5b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 20*r + 3. Let o be k(19). What is the highest common factor of o and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137549 - 137549.5389949. Let g = r - -0.539. What is g rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -202, 0.5, -1.6, -2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by 6.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -73, -174, -317?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*t - 86 + 399, 0 = 3*y + 2*t + 206. Let q be -116*6\/y*39\/1. What are the prime factors of 24563\/q + (8\/26)\/(-2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21103 + 8448. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12))\/((-87)\/464)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 16) to base 8\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h**4 + 53*h**4 - h - 6 - 45*h**4 - 3*h**3 to j*h**3 + a + y*h + m*h**2 + t*h**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 43, 59, 71, 79, 83?\n\"Answer: -2*d**2 + 26*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 12*t + 4. Let j be m(-7). Suppose -3*p = -5*q - j - 503, 2*p + 98 = -q. Let y = -58 - q. Calculate the highest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 358648*u\/5 + 1793490.\nAnswer: -2*(u - 25)*(u + 179349)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 1, t: 9, u: 3, i: 3, w: 2}. Give prob of picking 2 t.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 5*h - 3. Let q be 450\/105 + (-4)\/14. Let l be ((-1)\/(-2))\/(1\/q). Solve o - 3*p + 2 = 10, 3*p = -l*o - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b + 11*b + 14*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 8 + -3 + (404 - 412)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*g - 4*g. What is the greatest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 - 3285?\nAnswer: -3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87, -180, -349, -606, -963, -1432?\n\"Answer: -2*q**3 - 26*q**2 - q - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:56 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5. Suppose 0*n - n + 6 = y. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 7 + (-15 - -3 - (-11 - -6)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 30 + 10 = 0. Calculate the greatest common divisor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1336 divide 44833274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 4*g + 2. Let t(s) = -s - 11. Let q be t(-11). Suppose -3*m + 4 + 5 = q. Let o(h) = 7 + 2*h - 8 + 0*h - m*h. Calculate -2*o(n) - y(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 372*f - 9 + 2.\nAnswer: -372*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 3. Let o(v) be the second derivative of 2*v**3\/3 - 7*v**2\/2 + 10*v - 25. Let m be ((-7)\/2 + 0)*-2. Determine m*p(s) + 3*o(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10815638569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1.6, 39, -4\/7, -4, -0.3, -2\/507?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/((-160)\/(-256))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phppphp. Give prob of picking 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*r - 281*r - 20314 = -884*r - 974 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 2782597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = 13, 0 = -4*m - 3*r - 11497. Let f = -145 - m. Let i = f - 7927. What is i rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > -47351.4696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 6*t**2 + 2*t + 9. Let o be l(-6). What is the smallest value in o, 3, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.361 + 0.049. Let x = 1.51 - q. What is the smallest value in x, 2, -7, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1296 * -97.9.\nAnswer: 126878.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1253? (a) -0.05 (b) 3\/2 (c) -26 (d) -3 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-5))\/(3\/(-36)). Let q(y) = -p + 24 + y. Let v(j) = 5*j. What is v(q(h))?\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 3*n + 16*n. Let o(p) = 21*p. Suppose 4*c - 783*l + 785*l = -22, -21 = 5*c - 4*l. Determine c*o(v) + 7*x(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139993145*u**3 - 17797770*u**2 wrt u?\nAnswer: -839958870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + (-91)\/21)\/((-2)\/(-288)). Let q = i - -461. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 22 = 18*j - 16*j, c = -7*j + 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/10699 and 13\/288050.\nAnswer: 3744650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b - 20. Let f be l(4). Let i(o) = -2*o**2 - 5*o + 7. Let k(q) = -3*q**2 - 8*q + 11. Let p(h) = f*i(h) - 5*k(h). Factor p(g).\nAnswer: -(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 0, 0 = 8*a - 132911*g + 132906*g + 432 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -efaa0 + 7?\nAnswer: -efa99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f + 63. Let r be d(6). Differentiate -y**2 + 0*y + 44*y - r - y**2 with respect to y.\nAnswer: -4*y + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196772*x**5 - 199088*x wrt x.\nAnswer: 3935440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 - 0.3. Let g = h - -17.7. Let u = 14.699933 - g. Round u to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708657 is divided by 558.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*t + 453 + 610 = -105 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 6*n**2 - 6*n - 6. Let s(y) = y**3 - 5*y**2 + 5*y + 6. Determine 5*r(d) + 6*s(d).\nAnswer: d**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*((sqrt(448) + sqrt(28) + sqrt(28))\/sqrt(4) + (sqrt(28) + sqrt(7))*-6 + sqrt(448)*-2 + 3) + 0)**2.\nAnswer: -7728*sqrt(7) + 198097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 1. Suppose -x + 5*a + 18 = 0, 5*a = -4*x + 4*a + 156. Calculate the least common multiple of x and i(3).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, s: 7}. What is prob of picking 1 s and 1 f?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5\/2 + 416517*c**4\/2 + 833055*c**3\/2 - 1249545*c**2\/2 - 1666086*c - 833046 = 0. Calculate c.\nAnswer: -2, -1, 2, 138841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -216d + -2?\nAnswer: -2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -0.3. Let u = -913 + 818.8. Let y = 94 + u. Put y, n, 8 in descending order.\nAnswer: 8, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 12*v**2 + 2*v - 15. Let w be i(12). Let l(p) = -78*p**2 - 2 + 75*p**2 + p**3 + w - 6*p**3. What is the tens digit of l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 14*g**2 - 19*g + 72. Let j be c(15). Let l(a) = 20*a - 56*a + j*a + 15*a + 12*a. Let v(i) = -104*i**2. Calculate l(v(t)).\nAnswer: -312*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28287475 rounded to 3 dps?\nAnswer: 0.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8969848?\nAnswer: 2, 1121231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 28. Suppose -i + u + 4*u - 15 = 0, 2*i + 3*u - w = 0. Let o = -36 + -16. Are i and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*f - 435 = 0, 5*f + 37 = 2*s - 166. Suppose -2*b - s - 305 = 0. Let h = 326 + b. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 + -2 + 5 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(-43)*(g\/(g\/(g\/(g*(g\/(g*g**(-4\/5)\/g*g*g)*g)\/g*g))))\/(g**(-3\/5)*g))**(-35) assuming g is positive.\nAnswer: g**(-1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 2*h + (-h - 3*h - h)*(-1 + 3 + 0) - 4 + 4 + h)*(-1 - 4 + 3).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68849 - 555877.\nAnswer: -624726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = 7*h - 7450. Let g = 466 - h. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2102427, 4204852, 6307277, 8409702, 10512127?\n\"Answer: 2102425*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -5\/4, 5.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 2*h**2 - h + 4. Let u be 455\/49 + 2\/(-7). Suppose -u + 0 = 3*j. Give r(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 6*b**3 - b**3)*(0 - 2 + 1)*(-1 + 2 - 3)*(0 - 2*b + 0).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 16195145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185545 and 16397.\nAnswer: 3525355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9730*w + 585 = -9685*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -493, 54 in increasing order.\nAnswer: -493, -4, -1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47785 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 260, -189\/5, 4, -3 in decreasing order.\nAnswer: 260, 4, -3, -189\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -11\/7*z**4 + 6*z**3 + 32\/7*z + 0 - 64\/7*z**2 + 1\/7*z**5 = 0?\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-9)*12\/(-190)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q - 13. Let l(k) = -11*k**2. Give l(i(y)).\nAnswer: -891*y**2 + 2574*y - 1859","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 68.5*-12.28143\nAnswer: -841.277955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 4*a**2 - 4*a - 4. Suppose -3*v + v = 6. Let i(d) = 3 - 3*d**3 + d**3 - 5 + 3*d + 3*d**2 + 5. What is v*f(p) - 4*i(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = -48*q + 6307 + 498. Solve -41*b + 11 = q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -822511.4 minus 50.4?\nAnswer: -822561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 34478000.627\nAnswer: -34478004.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 2*n**2 + 4*n - 2. Let s = 10 + -7. Suppose -2*u + 15 = -m, 0*m - 5 = m + s*u. Let b(y) = y + 14. Let w be b(m). Calculate p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 5*p - 3*a = 15, 4*p + 8 = -5*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 40 = -15. Let n(d) = -2*d**2. Let x(h) = -h**2. Let c(g) = p*x(g) - 6*n(g). Let s(o) = -12*o**2. What is c(s(z))?\nAnswer: 144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 180 = -7*d. What is the smallest common multiple of 4 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 3, -257, -103, 6, 1?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1730\/350 + -5)\/((-2)\/14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43070 + 67190. What is c rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -496, -854, -1212, -1570, -1928?\nAnswer: -2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300\/(-50) + (-1840)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 - 3*z - 2. Let j be y(-2). Let b(v) = -v**3 - 24*v**2 - 47*v - 69. Let f be b(-22). Put j, -4, -1, f in ascending order.\nAnswer: j, -4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3906)\/168*4)\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**3\/3 + 10. Let v(i) be the second derivative of 5*i**4\/12 + i. Determine s(v(l)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -0 - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2. Let p(v) = -1. Let m(r) = -r + 6. Let a(j) = -5*m(j) - 30*p(j). Give n(a(s)).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 10, 34 in ascending order.\nAnswer: -1, 1, 10, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 19. Suppose p = -2*j - 0 - 3, -2*j - 9 = -5*p. What is the remainder when ((-8)\/(-6))\/(j\/(-30)) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/7 - (-9)\/(-21). Let s be 18\/5 + l\/3. Which is the third biggest value? (a) 2 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.964 times -15096\nAnswer: -14552.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a + 28. Let q be x(2). Suppose 0 = -2*v + 3*f + 157, -q*f - 102 = -2*v + 60. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 4*v**2 - 5*v - 3*v**2 - 4*v**2 + 4. Let l be z(4). Which is the third biggest value? (a) l (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17735703 or 17735704?\nAnswer: 17735704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = 5*o + 2, -32 = -2*t + 5*o. Suppose -t*n - 6 + 24 = 0. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 89*o**2 - 6*o + 6. Let m(i) = 2 - 11 + 5*i - 12 + 14 - 89*i**2. Let u(c) = 5*h(c) + 6*m(c). What is the derivative of u(x) wrt x?\nAnswer: -178*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -259903 > -259900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.3, -0.1, 0, -0.01.\nAnswer: -0.3, -0.1, -0.01, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + 39. Let g = q + 38. What is the remainder when g is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4*(-716)\/(-8))\/2. Suppose 5*o = h + 561. Suppose -11*p + 18*p - 259 = 0. Calculate the greatest common divisor of p and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3643 - -3316.1. What is l rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1952\/37395 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 332\/2 - 6\/(-3). Suppose 0 = -4*p - 3*j + x, -3*p - j = -4*j - 105. Let c = p + -66. Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.145 - -8.145. Which is the nearest to s? (a) -0.2 (b) -0.5 (c) 10\/83 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**3 - 4*c**2. Let o(s) = -73*s**3 + 29*s**3 + 9*s**2 + 29*s**3. Let y(r) = r**2 + 4*r - 1. Let i be y(-5). Calculate i*o(z) + 9*j(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42*w**3 - 27*w + 11448 wrt w?\nAnswer: 126*w**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9484 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 7*g - 9. Let t be u(6). Let f be 4 + t\/37*50. Let j = -88\/259 - f. Does j = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -920.973 * 0.9.\nAnswer: -828.8757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j. Let b(u) = 17*u**2 + 18107*u + 7. Give c(b(q)).\nAnswer: -68*q**2 - 72428*q - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1748467640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 159202427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, u: 8, a: 4}. Give prob of sequence aua.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*m + 7. Suppose -1 = -b + 4*s, 4*s - 37 = -5*b + 8*s. Sort 0, b, m, -4.\nAnswer: -4, m, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -29*d + 15. Let y = 3\/4 - 5\/4. Which is the biggest value? (a) y (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5 + 5. Let b(o) = 0*o**2 + 0*o**q - o**2. Let m(u) = -4*u. Let i(f) = -f. Let x(n) = 7*i(n) - 2*m(n). Calculate b(x(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64123, 128242, 192361, 256480?\n\"Answer: 64119*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*f + 3*o, 2*o - 15 = -o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 2728*k - 21693. Let t be m(-8). Suppose -2*h + 20 = 5*f, 4*h - 5*h + 4 = f. Solve -t*i + 5*g + 9 = -6*i, h = 4*i - 5*g + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 708 - 702. Differentiate 6*v**2 - q*v**2 + 19 + 275*v**4 + 38 wrt v.\nAnswer: 1100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -637 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52442, 52610, 52896, 53306, 53846, 54522, 55340?\n\"Answer: u**3 + 53*u**2 + 2*u + 52386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/40*(-2055)\/54 and -73\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/11, 5, -87, 2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 2*n - n + 16 - 10*n - 16 + (3 - 1 - 4)*(-3*n - n + 2*n) + 1 - 1 - 5*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 56 = -y + 3*v, 0 = -3*v - 3. Solve y*l + 15*u - 6 = 13*u, 5*u = -15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, b: 12}. What is prob of picking 4 r?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45882626, -91765252, -137647876, -183530498, -229413118, -275295736?\nAnswer: -321178352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfyywyfyffwf. Give prob of sequence yy.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-200)*25*1*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8054*r*y**3 - 2*r - 3*y**3 - 4*y - 248 wrt r?\nAnswer: -8054*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from cnninnjb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 1, 1779286?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9117*j**2. Let w(r) = -296*r**2 - r. Determine w(u(n)).\nAnswer: -24603427944*n**4 + 9117*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**13))\/(g\/(g\/((g\/(g\/(g**(-3\/7)\/g)))\/g))*g)*(g**(-1\/18))**(-2\/7) assuming g is positive.\nAnswer: g**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156293 and 0.2.\nAnswer: 31258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 120*t**2 + 236*t + 995. Give r(122).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.333 + -0.033. Which is the second biggest value? (a) g (b) 5\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 8*m - 228 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 7, 9, -59, -1 in descending order.\nAnswer: 9, 7, 0.05, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**3\/6 - 2*z. Let b be 8\/(-7 - (-9 - -4)). Determine x(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(4 + 3*(5 + 1*sqrt(832) + 0) + 3)**2.\nAnswer: -15944 - 2112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -856\/1654797 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3565462165.8 and -10.6.\nAnswer: -3565462176.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 12*q**2 - q + 20. What is m(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1529 + 2839. List the prime factors of g.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 15*y + 42. Let j be r(6). Which is the smallest value? (a) -2 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 2 + 42 = 0. Suppose 4968 = s*v + 7*v. What are the prime factors of v?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2408715*a**5 + 1129159*a**2 wrt a.\nAnswer: -144522900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**3 + 9*l**2 - 291*l - 309. Differentiate i(g) with respect to g.\nAnswer: 6*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, f: 1, c: 2, h: 2}. What is prob of picking 1 i, 1 f, and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 + -4)\/((-2)\/2). Let d be 130\/8 - t\/(-16). Let y be (-6)\/4*(-512)\/6. What is the greatest common divisor of d and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2373 = 3*j - 2*n, 501*j = 496*j + 3*n - 3956. Which is smaller: j or -792?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*b - 5868 + 5868)*(-15 - 4*b**3 + 15).\nAnswer: -356*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h. Let c(k) be the first derivative of 0*k**5 - 1\/3*k**6 - 1 + 0*k - 1\/3*k**3 + 0*k**4 + h*k**2. What is the third derivative of c(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 - -9)*(-5)\/15. Are 14\/57 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*m + m + 5*u, 20 = -5*m - u. Let s(y) = 22 - y - 16 + 2*y. Determine s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghhg when four letters picked without replacement from ghghhhghhhhh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1306, 1294, 1284, 1276, 1270, 1266, 1264?\n\"Answer: n**2 - 15*n + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + ((sqrt(1584) + -2 + -2*sqrt(1584))*3 - (3 + 1 + sqrt(1584) + -1*sqrt(1584)))))**2.\nAnswer: 20736*sqrt(11) + 515520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-40) - 22\/(-8). Suppose -z*w = -2*w - 10. What is the remainder when 37 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59036*g**6 + g**5 + 4*g**2 + 17*g - 18178 wrt g.\nAnswer: 7084320*g**3 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/34 and (-1179)\/216 + 4 + (12\/(-18))\/(-2)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41989 and 0.44.\nAnswer: 41989.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, -159 in increasing order.\nAnswer: -159, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 155800?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 579 + 639. Let t be (-5094)\/(-14) - 29\/o. Calculate the highest common factor of 28 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*q + q + q - 6*q**5 wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 6 + 9\/(9\/(-2)). What is the tens digit of 1006 + 12\/3 + b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let h = 1.8 - i. Let u = 0.2 + h. Is 1 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*j + 31*j. Suppose j = -15*o + 9*o + 264. Calculate the smallest common multiple of 8 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139\/423 - 2\/423. Which is the third smallest value? (a) 0.2 (b) 1\/3 (c) -3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 34*x - 77. Let h be n(2). Let p be ((-5)\/h - 1)\/((-230)\/3). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57187, 57190, 57195, 57202, 57211, 57222, 57235?\n\"Answer: a**2 + 57186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 69.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-8 - 209\/22))\/((-10)\/72).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssdddsxxess. Give prob of sequence xe.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2598 + -2576. Solve -5*i - m = 2*p - 29, -2*i - 5*p = 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 0 + 1 + l.\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 22. Suppose -l*k + 7*k = 0. Factor 0*w**2 + 0 + 0*w**3 - 1\/5*w**4 + k*w.\nAnswer: -w**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*p - 15*p - 560. Calculate the remainder when 77 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**2\/17 - 2792554*r\/17 + 1117020\/17.\nAnswer: 2*(r - 279255)*(5*r - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2076 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + -0.1. Let g = 10 + -5. Let f be 10\/g - (-34)\/(-18). What is the second smallest value in f, -2\/7, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**2 + 59*f**2 + 129*f**2)*(0 - 11 - 3 + 2).\nAnswer: -2400*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.195 + 10834700.\nAnswer: 10834699.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.05, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 28*t**4 - 2*t**3 + 3*t**2 + 44. Let b(k) = -27*k**4 + 2*k**3 - 4*k**2 - 43. Let n(i) = 5*b(i) + 6*s(i). Find the third derivative of n(g) wrt g.\nAnswer: 792*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 15*h + 31. Let t be p(5). Suppose 5*n = -4*z + 60, -3*n + 8 - t = -z. Solve -z + 0 = -10*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21813 by -6.\nAnswer: -7271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 468 (b) 14.6 (c) -5\/3 (d) 3 (e) -3 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iooiioo. What is prob of sequence oioi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38293949\/714 + -53633. Find the common denominator of n and 15\/8.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ukkukkukuuuukkuuukk?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 + 5*z - 1. Let l(i) = -5*i**2 - 6*i + 2. Let y(j) = -4*d(j) - 3*l(j). Determine y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 6*y**2 + 5*y + 6. Let n(r) = 9*r**2 + 2*r - 1. Let d be n(1). Suppose v + d = 6*v, -5*v = 3*w - 25. Give j(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/105 + t**6\/48 + 7*t**5\/120 - t**4\/24 + 2*t**2 - 6*t. What is j in n(j) = 0?\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1459214 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446\/5 - 23\/115 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/48*(-3 + 2). Let f = -0.8 - -0.5. Put -0.4, f, u in increasing order.\nAnswer: -0.4, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -2*w**5\/45 + 92*w**4 - 153452*w**3\/3 + 455400*w**2 - 1361250*w - 11406. Factor x(n).\nAnswer: -2*(n - 825)**2*(n - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -20 - 3 - 9*n + 13*n. Let k be j(20). Let m = 112 - k. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 542*c - 5018. Calculate y(6).\nAnswer: -1766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 2*-1 - -1. Suppose 4*l - 69 = w. Calculate the highest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-34)\/(-34))\/((-1)\/(-73)). What is the common denominator of -103\/42 and 20\/5 - (x\/60)\/1?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*s + 78. Find the common denominator of -59\/7 and 104\/(-2112)*s - (-2 - 1).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 33.9.\nAnswer: -67.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/((-1)\/6). Suppose -2*q - 5*h = -6*q + 96, -3*h = g*q - 26. Which is greater: q or 17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:20 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110589 and 2483?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x + 87. Let m(s) = -19*s + 176. Determine 11*i(c) - 6*m(c).\nAnswer: 4*c - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*108\/(-288)*(-1)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98479 is divided by 1082?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -353 + 358. Let f(k) = 9*k - 2. Let n(s) = -19*s + 4. Determine x*f(q) + 2*n(q).\nAnswer: 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10378, 20710, 31050, 41398, 51754?\nAnswer: 62118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -11153?\nAnswer: 11163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a minute in seconds?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 - 10*q + 72. Give a(5).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30128 and 12469226?\nAnswer: 99753808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (361 - 348) + (-17 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -7.3.\nAnswer: -2.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3529 + 52 = -145*p - 2364 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*l - 62*l - 150 - 321 = -79 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n*n\/n**1)*(n*n**(-5))\/n*n*(n\/(n*(n\/n**0)\/n*n*n*n))\/n*n**(-6\/5) assuming n is positive.\nAnswer: n**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 0*r**2 + 27\/5*r**5 + 8\/3*r**3 - 6*r**4 - 9\/5*r**6 - 3*r + 0. Factor y(i).\nAnswer: -2*i*(3*i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + 189\/(-14))*(-2)\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -134449.\nAnswer: -134450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(18))**2 + (sqrt(605) + 0 + sqrt(605))**2.\nAnswer: 21785\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + 39. Let v(i) = 3 - 3 - 64*i + w*i. Let g(y) = -6*y**2. Calculate v(g(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2996*n**2 - 2*n**3 - 2996*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 49.84. Let y = g + -0.8341. Round y to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76\/227 - 12038\/4767. Let j = 156163\/3 + -52054. Calculate the common denominator of j and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10143232275 - 0.4.\nAnswer: -10143232275.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598271 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 294131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -2\/9, 0.1, 2\/37, -6.7?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (13 - ((14 - 8) + 21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -5*u - 10, 4*g + 1 - 9 = 4*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004255537 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.61 - 243.61. Let h = i - -234. Let s = 0.1 - -1.9. Which is the nearest to h? (a) s (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -558.577 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 4*n**2 + n**2)*(-9*n**3 + 3*n**3 - 5*n**3) + (-3 + 3 - 2*n**5)*(1 + 1 + 0).\nAnswer: -26*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-36 + -21) - (3 - 15)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 9, -2\/7.\nAnswer: -2, -2\/7, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1389 and 981470.\nAnswer: 980081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3)*7\/14. What is the second smallest value in -0.1, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -19 (c) 0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 51*h - 3731. Determine k(68).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148671743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0285026 to 4 decimal places.\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19.8 and -0.7.\nAnswer: -20.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 5\/2*b**2 + 53*b + 1\/3*b**3 - 156. What is the first derivative of a(r) wrt r?\nAnswer: 2*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/11)\/k*k**(2\/5)*(k\/(k*k**(-4\/3)))\/k**6*(k**(-4\/5)*(k\/((k**(2\/29)*k)\/k))\/k)\/(((k\/(k\/k**2*k*k*k))\/k)\/k)**(-4\/13) assuming k is positive.\nAnswer: k**(-427777\/62205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (6 - (13 + -26)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -637, -1290, -1945, -2596, -3237, -3862, -4465?\n\"Answer: y**3 - 7*y**2 - 639*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = k - 2*v, 0 = -2*k - k + v + 17. Suppose k*u - 26 - 22 = 0. What is the greatest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**12*l)\/(l\/(l\/(l*l\/(l*l*l**(5\/7)*l*l)))*l))\/(l*l\/(l*l**(-1\/5))*l\/(l*l**(-2\/15))) assuming l is positive.\nAnswer: l**(281\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-296)\/42 - -7)\/((-10)\/35). Sort -3\/4, f, -45\/8 in descending order.\nAnswer: f, -3\/4, -45\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x + x**5 + 5*x**5 + 0*x - 4*x wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2758363, 2758364, 2758365, 2758366?\nAnswer: 2758367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z - 46*z + 5 = s, s - 1 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1809 and -0.6.\nAnswer: 1085.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 33*j**3 + 10*j**2 - j - 102. Is n(7) a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - n**2 - 2*n**3 + (n**3 - 2*n**3 + 2*n**3)*(0 - 5 + 3) + 12 - 10*n**3 - 12.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -8706.\nAnswer: 4\/1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/14 - -2)*7. Suppose -3*u - n*v + 9 = 0, 2*v - 3 = -u + 3*v. Calculate the remainder when 7 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttstkwkts. What is prob of sequence tkst?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1152096 and 187935660?\nAnswer: 1503485280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 21*r + 56. Let y be g(4). Solve -5*u = 3*p - 2, 0 + 8 = 4*p + y*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6524.16 centuries in years?\nAnswer: 652416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8128*o - 48741. Determine j(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111692050*q**4 - 2669*q + 7110 wrt q.\nAnswer: 1340304600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/2 - -331)\/2*1. Suppose 0 = -2*s + 5*y + a, 108 = s - 3*y + 23. List the prime factors of s.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266905952 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -23 - (-94 + 20)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 16) to base 2.\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4848 divided by -16\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = -1. Let q = f + 6. Find the second derivative of -r**3 + 2*r**3 - 2*r + r**q - 3*r wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - -1)*(-14)\/(-21). Let l be (26\/(-5))\/((-2)\/(-10)). Let o be (-4)\/(-16) + l\/40. What is the third smallest value in -2, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773881791.\nAnswer: 3, 29, 83, 107171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -655, -1310, -1975, -2656, -3359, -4090?\n\"Answer: -f**3 + f**2 - 651*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b**(-8)*b)))\/b*b)**26*b**(-4\/5)\/b*b**12*b)**(-1\/11) assuming b is positive.\nAnswer: b**(854\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5378626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5005?\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -43*k - 39. Let z be w(-1). Let p be z*(30 + 6 + -10). Which is bigger: 526\/5 or p?\nAnswer: 526\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) -4 (c) -7\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + i = 6, -2*i = q - 2*q + 2. Let h(v) = -q - 2 + 4 + v**2. Let x(r) = -24*r**2 + 2. Calculate x(h(a)).\nAnswer: -24*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 5*b = 6*r - 10, 4*r + 5*b + 10 = 0. Suppose 0 = -0*o + 2*o - 12. Solve r*j = o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091796951.\nAnswer: 31, 53, 1273157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 2*j**2 + 32*j + 7. Calculate the remainder when 1909 is divided by d(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 37. What is the smallest common multiple of 28 and q(-13)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*742.444\nAnswer: 1484.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -12, -2*j + 2*a - 4 = 2. Suppose -2*g = -z - 13 - j, g + 3*z = 17. Calculate the highest common divisor of 72 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnnxtxavqnvanvxnavn. What is prob of sequence vxat?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 14, 2*p - 3*y - 358 = -393. What is the closest to -1 in 83, -0.2, 1, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 18*f + 12*f - 37*f. Let x(r) = 20*r. Calculate 4*x(k) + 11*y(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -91, 4\/217, 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22124435 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -523184?\nAnswer: -523184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.1, -1.1, 402?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33814 from 0.2.\nAnswer: 33814.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -4 + 0*y**3 + 0*y + 3*y**2 + 1\/4*y**4. What is the second derivative of h(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 6. Let t be 3 - (10\/5 + -2). Let r be (-136)\/(-14) - (-4)\/14. Suppose -2*d = r, t*f - 5*f - 3*d - 3 = 0. Determine z(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365344 (base 7) in base 16?\nAnswer: 49bc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 16349 = 917. Suppose 13*x = -1543 + s. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121800\/13 - -1255638\/143. Let p = w - -130459\/220. What is the common denominator of p and -89\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g + 7. Suppose 4*p + 1318 = 2*k, -5*p = -2*k + 381 + 942. Let y = -498 + k. What is the remainder when y is divided by o(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 112629 + 112629.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*b + 52, j + 115*b - 35 = 110*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17577 - 250?\nAnswer: -17837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 279*p + 1470.\nAnswer: -3*(p - 98)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1211 + 1981. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2383 - 1234. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 5. Let w = 132 - 131. What is the nearest to -2 in u, 2, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:44 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*w - 2*r, 3*r + 4 = -3*w - 5. Suppose 3*u = -2*y - 23, 5*y - 3*u + u + 10 = 0. Let o be (0 - -6)*(-2)\/4. Sort y, w, o.\nAnswer: y, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.7. Let w be (-6)\/2*(-4)\/(-10). Let y = -0.06 - -0.16. What is the nearest to y in w, 2\/9, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -527*i**5 + 27*i**4 + 53746*i wrt i?\nAnswer: -10540*i**3 + 324*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 61 - 106 + v - 263*v**2 - 258*v**2.\nAnswer: -521*v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 105*p**2 - 8*p + 858. Determine i(105).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -48665000 to the nearest one million.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1274*g**6 + 134*g**4 + 2*g**2 - 45*g - 5487 wrt g.\nAnswer: 152880*g**3 + 3216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3236.385 rounded to the nearest ten?\nAnswer: -3240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2813*q**3 - 48 wrt q?\nAnswer: -8439*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 16*h - 7. Let w(z) = 3*z**2 - 15*z + 6. Let r(l) = 6*s(l) + 7*w(l). Find k, given that r(k) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -32*m + 54. Give a(-3).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000036392099 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011000010000011100 (base 2) to base 4.\nAnswer: 13120100130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 54, 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**3\/5 - 15*j**2\/2 + 918*j\/5 - 5267. Factor s(d).\nAnswer: -3*(d - 9)*(d + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3375 or -5281?\nAnswer: -5281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 3*g + 3)*(4 - 19 + 4)*(-2 + 0 + 5) - g + 4 - 4 + (2 - 2 - g)*(-2 - 3 + 3) in the form l*g + i and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*v - 3*x, 3*v - 3*x - 22 = 2. Solve -6 = v*b - 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*q - 4*j, -30 = 3*q - 6*q + 3*j. Let r(v) = -5 - 20*v**2 - q*v + 22*v**2 - 3. What are the prime factors of r(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 96688224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -30 + (2 - 80) - (-10 - (3 + -3)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (1 + -2)) + -1. Let p be (k + -2)*(-3)\/6. Suppose 0 = -b - p*b. Solve 5*a = -4*x + 6, b = 5*x + 3*a - 8*a + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20596\/(-12) - -4 - 1. Let t = -1695 - i. What is the common denominator of t and 37\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprpppllplppgprgprp. Give prob of picking 2 l.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 7*l**6\/360 - l**5\/60 - l**4\/6 + l**3\/6 + 4*l**2. Let d(c) be the first derivative of i(c). Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 4154*y + 2076*y + 2078*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*2189.\nAnswer: 65.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 19)*(-42)\/(-30 - 12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - 2\/15. Let r be 3*4\/3*-3. Let f be (-9)\/r - (-575)\/(-644). Which is the biggest value? (a) f (b) 0 (c) -5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o + 22329 - 22347. Solve 0 = -14*y + 13*y + 5*c + 15, o*y = -3*c - 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329297 is divided by 3920.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*v - 27, 3*h + v = 22 - 4. Calculate the remainder when 24 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1354104 (base 6) to base 14\nAnswer: -202a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174707328 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.019?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1050\/140)\/((-1230)\/1804).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20016 and 173841462.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(7)*-3 + (sqrt(2)*-4)**2 + -4 + (sqrt(200) + (-6*sqrt(200) - sqrt(200)))\/sqrt(4)*3.\nAnswer: -93*sqrt(2) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63649576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, 62, 78, 82?\n\"Answer: -6*h**2 + 46*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-21)*30\/(-70)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*d**3 + 2*d**2 - 400\/11 - 20\/11*d.\nAnswer: 2*(d - 4)*(d + 5)*(d + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 29*o**2 - 7*o - 102. Give h(-28).\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2. Let n(p) = 3632*p + 45. Let j(g) = 105325*g + 1320. Let l(m) = 3*j(m) - 88*n(m). What is l(b(y))?\nAnswer: -7282*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -1\/5, -4.3, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (0 + -1)) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -813*m + 417*m - 590*m - 81*m - 1007*m.\nAnswer: -2074*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r**2 - 12*r + 12*r + (-14*r + 17*r - 11*r)*(-r - r + 0*r))*(-3*r**3 + 7*r**3 - 2*r**3).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.367 take away 77.7?\nAnswer: -77.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s + 5. Let m be 7\/(-4) - 1\/4. Put m, -3, s in decreasing order.\nAnswer: s, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5 + 18477*y**4\/5 + 66593*y**3\/5 - 40677*y**2\/5 - 44388*y\/5 = 0. Calculate y.\nAnswer: -4, -3\/5, 0, 1, 3699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {g: 5, x: 2, c: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 1. Let s be (l\/(-3))\/((-3)\/36). Let q be s\/(-20) + (-18)\/(-5). Solve 2*b + 2*n = -2*b + q, -5 = b + 2*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1222 - -210412?\nAnswer: 212134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 117*u**3 - 6*u**2 + 6*u + 125. Let r(n) = 354*n**3 - 17*n**2 + 17*n + 376. Let w(o) = -17*d(o) + 6*r(o). What is the first derivative of w(l) wrt l?\nAnswer: 405*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-81)*64\/80\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3250 in 3\/4, 5, 4, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -58*q + 3. Let a be n(1). Let g = -53 - a. What is the third derivative of 8*v**4 - 22*v**g - 4*v**4 - 4*v**4 - 20*v**5 wrt v?\nAnswer: -1200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 1. Suppose -7 = -c + 5*j, -3*c - j + 5 = -0*c. Let z be r(c). Suppose -9 = -3*x - z*u, -4*x + 0*u + 12 = -3*u. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1252 + (-3)\/(-4) + (-77)\/44. Is -2 + 3 - (0 + 1 + q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/4))\/h)\/h*h)**(2\/21) assuming h is positive.\nAnswer: h**(-1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 43*g = 319 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55\/86 + 6\/43. Which is the nearest to m? (a) -0.1 (b) 1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Calculate the common denominator of q - (36\/(-10))\/(-3) and 74\/(-115) - (-4)\/(-10).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*a + 119*a = 13303. Let h = 159739\/12 - a. Calculate the common denominator of h and -121\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/5)\/(l**4*l)*(l*l**(1\/4)\/l)\/l**(-1\/8)*(l**(-5)*l**6)**(2\/25) assuming l is positive.\nAnswer: l**(-869\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 25*j - 2016. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -144, -136, -116, -78, -16, 76?\n\"Answer: x**3 + x - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/5 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110819.5 millennia to months.\nAnswer: 1329834000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**2 - 8*j - 8. Let n be (36\/(-21))\/((-4)\/(-14)). Let h(k) = -8*k**2 - 7*k - 7. Let s be 86\/12 + -2 - (-5)\/(-30). Calculate n*h(u) + s*d(u).\nAnswer: 3*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252 + 588. Let l be 1\/(-5) + x\/30. Suppose v + 3 = l. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15, 5*f - t + 4*t - 781 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19765, 19790, 19877, 20056, 20357, 20810, 21445?\nAnswer: 22292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284676578?\nAnswer: 2, 3, 3301, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 595613025, 595613027, 595613029?\n\"Answer: 2*s + 595613023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**2 + 5*p**2 - 15*p**2 in the form t + j*p + z*p**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45253022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3651889.3000129 + 3651896.3. Let a = 9 + -2. Let p = w - a. Round p to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -1 + -2 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 0 + 22*t**2 - 4*t**2 + t + 3. Let c be k(-6). Suppose -10 = 5*w - 3*w, -4*q + 5*w + c = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v. Let i(w) = -28*w + 35. Let p(u) = -3*u + 4. Let y(g) = -4*i(g) + 35*p(g). Calculate f(y(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -46.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/8)\/(9\/18). Factor -8 + 13*n**2 - m*n**2 - 7*n**2 - 10*n.\nAnswer: (n - 4)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7474 or -7449?\nAnswer: -7474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnxnneneeennnee. What is prob of sequence xeee?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(4\/9)*f)*f*f\/(f*f**3))**(1\/53)*(f**4\/(f*f**(-5)*f))\/(f\/(f*f*(f\/(f*f\/(f*f\/f**(-1\/3)*f)*f*f)*f)\/f)*f**2) assuming f is positive.\nAnswer: f**(2999\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -10378336?\nAnswer: -10378337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/7 + 14979*c**2\/7 - 56070135*c\/7 - 168345243\/7.\nAnswer: -(c - 7491)**2*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -7*v**4\/20 - v**3\/5 + v**2 + 441. Find f such that l(f) = 0.\nAnswer: -10\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/20 - m**4\/3 + m**2 - 6*m. Let q be s(4). Suppose -q*d = -5*d + 195. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94480888 rounded to the nearest one million?\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.41 from -3604.\nAnswer: -3593.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*h + 6. Let r be (-2)\/(-6)*(3 - h). What is the third derivative of 2 - 4*s**2 + 2*s**4 - r + 0 wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (2 + -5 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 25, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 5 (b) 4863 (c) -2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 - -158. Suppose d*i - 752400 = -3*i. Round i to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4 = -4*s + 4*r, 25 = -5*s - 5*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2694 (base 13) to base 16\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*z**2\/3 - 18*z + 164\/3.\nAnswer: -2*(z - 2)*(7*z + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let i(s) = 8*s + 12. Let u(y) = -i(y) - 10*v(y). Let p be u(2). What is the second derivative of 2 - 2*h - 2 - 2*h**p wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 4*c = 732 - 884, 5*t - 3*c = 82 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:53 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2270*k. Let o(w) = -3*w. Determine a(o(v)).\nAnswer: -6810*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l*r*u + 145*l*r - l*u**2 + 5*l*u + l + 37022517*r*u**2 + 5*r*u + 2*r + 6 wrt u?\nAnswer: -2*l + 74045034*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/17)*s*s**(-19)*s*((s**(-4)*s)\/s)**(-46) assuming s is positive.\nAnswer: s**(2838\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 plus -41.1917?\nAnswer: -40.4917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7 (b) -3 (c) -4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 211, 99, -27, -167?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136106 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132) + -2*(sqrt(132) + 2*sqrt(132)))\/((sqrt(108)\/sqrt(3))\/sqrt(3)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 56. Let q = h + -20. What is the greatest common factor of q and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i - 774*i - 583*i.\nAnswer: -1372*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 3*d - 2*d + (376*d + 500*d - 716*d)*(-4 + 6 + 0)*(1 - 4 + 1).\nAnswer: -638*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 241920?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 12842\nAnswer: 51368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpzqaxqaqxqzxzqxq. Give prob of picking 2 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83573 (base 13) to base 16.\nAnswer: 399f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111011100 + 110?\nAnswer: -11111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*q - 1234 - 250. Let c(u) = -u + 2. What is the least common multiple of q and c(0)?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 14 = -x. Let k(n) = -2*n - 12. Let g be k(x). Let t be 1 - 2\/4*2. Solve t*p - 6 = -g*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-665))\/(9218\/(-660) - -14)\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(2\/5))\/(331\/((-13332680)\/(-950))))\/1.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3368 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/8 + 16419*m**3\/8 - 16437*m**2 + 32886*m.\nAnswer: 3*m*(m - 4)**2*(m + 5481)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*28\/(-546)*33\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13200 divided by 1320?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -286. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -113*j**3 + 37*j**2 - 8*j - 7. Let w(m) = 12*m**3 - 4*m**2 + m + 1. Let t(d) = -2*q(d) - 19*w(d). What is t(-3)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -1. What is the remainder when l is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123957849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**2 + 12899*f + 12897*f - 25796*f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318027.\nAnswer: 3, 227, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(-1\/49) assuming c is positive.\nAnswer: c**(-2\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**2. Let y(o) = 8*o**2 - o**2 - 26*o**2. What is x(y(j))?\nAnswer: -2888*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231.152 - -170.\nAnswer: 401.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12304241342 (base 5) in base 11?\nAnswer: 8468033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42.84455 tonnes?\nAnswer: 42844550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 19*z**2 - 13*z - 37. What is the remainder when x(20) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -115\/18*x**3 - 25\/3*x**2 + 0 + 25\/36*x**4 - 8*x. Determine r, given that b(r) = 0.\nAnswer: -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 6 = -3*z. Suppose 5*w = -i - 3*i + 1500016, -z*w = -3*i - 599988. Let p be (w\/(-18))\/((-2)\/144). Round p to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 - 4)*(-2*s + 5*s - 2*s)*(-3 - 5 + 0).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, 0.5, 541?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638*l + 187*l - 1380*l.\nAnswer: -1831*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3710367264 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-5*n**2 + 3*n**2 + 3*n**2 + (3*n + 0*n - 5*n)*(n + 2*n - 5*n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2884*c = 5*n - 2883*c - 120, 3*n = 3*c + 72 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 46 = 4*h, -34 = -4*h + 4*q + q. Suppose -23 = 4*v - h. Let p be v*((-4)\/(-3))\/2. Put p, 5, 33 in decreasing order.\nAnswer: 33, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763866 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -43 (c) -1\/10 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**3\/6 + c**2\/2 + 6*c. Let g(y) = -y**3 - 2*y**2 - 4. Let r be g(-3). Determine i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.22, -2\/5, -2\/3, 2, -165\/2, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 h when four letters picked without replacement from {h: 2, j: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 3 + 3 + (-226 - 154 - 176)*(-3*v + v - v) as g*v + f and give g.\nAnswer: 1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0*k**3 + 3\/10*k**5 + 0*k**4 + 0 - 7\/2*k**2 + 17*k. What is the first derivative of q(h) wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1285 + -1285.5. What is the smallest value in -0.13, -3, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000824300605 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/59 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = 3*z. Calculate the remainder when 3 + -7 + 4 - -9 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 3*f**4 - 3*f**4 + (0*f**2 - f**2 + 2*f**2)*(-250 - 44*f**2 + 250) + (6*f - 3*f - 2*f)*(f + f**3 - f).\nAnswer: -41*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (9 - (6 + -3 - -6 - 26)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -9.2. Which is the nearest to 4? (a) -1 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 3*l**5 - l**3 + (2*l**2 + 3*l**4 - 2*l**2)*(2*l - l + 0*l) + (6*l**4 - 4*l**4 + 0*l**4)*(4*l + 19*l + 10*l).\nAnswer: 72*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/909423 + -12344507816\/6365961. Let i = 2001 + -3936. Let z = i - n. What is the common denominator of z and -3\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -9, 2*j - p - 3 = 0. Suppose j*s - 5*s + 6805 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + -157. Let t(w) = w**2 - 3*w + 3. Calculate t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-46280\nAnswer: 138840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2243 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 546385029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -129? (a) -1\/5 (b) 1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i - 18. Let s(n) = -4*n - 9. Let r(m) = -7*s(m) + 4*v(m). Is 15 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2290331?\nAnswer: 193, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 5*1*(8 + 136\/(-40))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -980228.\nAnswer: -9\/980228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 - 7*s**4\/3 - 47*s**3\/6 - s**2 + 260*s. What is the second derivative of t(n) wrt n?\nAnswer: 6*n - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2093 in 0.2, -198.7, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 16*r**2 + 48*r - 2. Give z(3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19393 - -94221. What are the prime factors of f?\nAnswer: 2, 13, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*y - 15 + 7 - 62 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0, -2, -3.12, -3968 in ascending order.\nAnswer: -3968, -3.12, -2, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2\/5*b**3 + 0*b + 0*b**2 + 3\/20*b**4 - 4 - 3\/25*b**5. Suppose w(a) = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 64 (b) -2 (c) -0.1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 6*w**2 - 5*w. Let p be b(5). Let n = -22 + 29. Suppose -d - 2 = -n*y + 4*y, -2*y + 5*d = -10. Is y <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 4\/6*3 - (-14 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*((2 + sqrt(147))**2 + sqrt(147) + -2 - sqrt(147) - sqrt(147)).\nAnswer: 84*sqrt(3) + 596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3123 + -3119. Solve 2*q + r*x + 34 = 0, -13*x - 1 = -q - 12*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(264)\/sqrt(6)))\/(sqrt(6)\/(sqrt(6)\/sqrt(2))*2).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2. Let h(w) = -374*w - 102. Let u be (-1)\/((-2)\/408*-4). Let o(d) = -15*d - 4. Let i(k) = u*o(k) + 2*h(k). Determine q(i(a)).\nAnswer: -2023*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 90, 365, 822, 1461, 2282?\n\"Answer: 91*z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2*l + 8*l = 2*d + 24, 27*l = 31*l for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 1 - 8*g**4 - 4*g**2 + 3*g**2 - 2*g**2 + 286*g**3 - 288*g**3 to q*g**4 + k*g**2 + d*g + f + y*g**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 0.2, 2\/3, 0.1, -0.79, -2\/201?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose -6*m + 2*m + 30 = -d, 10 = 5*d. What is the least common multiple of m and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -912 + 969 + (0 - 67)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -456.58 - -557.5. Round h to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 91, 152, 211, 268?\n\"Answer: -g**2 + 64*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -245.59 + 242.79. What is the nearest to 10 in 5, u, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2430 and 1701.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 13 + 27. Let s be t\/(-125)*(-10)\/(-2). Let h = 2.3 - 2. What is the third biggest value in h, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(12\/7))**18\/(q**(1\/31)\/q**(-12\/7)))**(15\/4) assuming q is positive.\nAnswer: q**(153345\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3533 - -2063. Let u = w + 1469.99999247. Round u to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {d: 1, e: 3, m: 3, o: 1, r: 3, g: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 8:52 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, 1, -0.2, -1.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - d**3 - d**3)*(58*d**2 - 161*d**2 + d - 10*d**2).\nAnswer: -226*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200*t**4 - 2*t**3 + 1475*t**2 - 293083*t?\nAnswer: -2400*t**2 - 12*t + 2950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62 - 11*m**4 - 62 + (6*m**2 - 2*m**2 - 2*m**2)*(9*m**2 - m**2 + 4*m**2).\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/697579880 and 25\/4549434?\nAnswer: 2092739640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 100221632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.32 - 1.02. Let r = -55945645.29999999 + 55945646. Let p = r + j. What is p rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 + 7.7. Let s = o + -12. Which is the nearest to -0.2? (a) 4 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52276704 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - z + 0*z + 5*z - z - 2*z + (3*z + 5*z - z)*(-1 - 1 + 4))*(-7*z**2 + 12*z**3 + 7*z**2).\nAnswer: 240*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + k. Let p = -1943 - -1944. Let r(x) = 12*x**2 - 3*x. Determine p*r(q) + 6*b(q).\nAnswer: 6*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, r: 6, m: 4}. Give prob of picking 2 r and 1 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.884427mg to tonnes.\nAnswer: 0.000000004884427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*3406440.\nAnswer: -681288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0756 and 0.14.\nAnswer: -0.010584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 595 + -591. What is the closest to -0.1 in 3, -0.3, p, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -354 + 459. Let f = -107 + d. Let y(t) = 21*t - 15. Let z(q) = -4*q + 3. Determine f*y(r) - 11*z(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 3:33 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 8240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -75, -176, -277, -378, -479, -580?\n\"Answer: -101*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 93*n - 92*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -518012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3684)\/(-30700))\/((-3)\/70)*45.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19690745?\nAnswer: 5, 19, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1286 + 1313. Let x(t) = -2*t**2 + 0*t**2 + 17*t**2 + 2*t - 2. Let u be x(-2). Calculate the highest common divisor of w and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66843143 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2331203313 (base 4) to base 16\nAnswer: -bd8f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**2 - 41*a + 14. What is b(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/1)\/3)\/((-16)\/(-6))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -375825679 divided by -12123409?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*j = 231422 - 232368. Suppose 0 = v - f + 3, -26 = -3*v - 6*f + 2*f. Suppose -5*c - 10 = -7*r + v*r, 2*r - 24 = -2*c. Solve -4*w + r = j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 3) + (12 - 20). Find the common denominator of ((-36)\/10)\/(14\/15) and (-603)\/(-12)*(x\/(-9) - 1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5118734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 6*r - 3*r)*(39 + 44 - 7)*(-4*r + 2*r - r).\nAnswer: 228*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(1\/15))\/c))**28 assuming c is positive.\nAnswer: c**(392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 23*w + 291. Solve 1 = 7*u - w*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 2:43 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -188, -415, -646, -881?\n\"Answer: -2*x**2 - 221*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, a: 3, f: 10, n: 3, z: 2}. Give prob of sequence xafn.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.311 - -145.689. Let k = s + -146.00123. Round k to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1426 and 141029044855?\nAnswer: 141029046281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.4, -3\/23, -0.02 in decreasing order.\nAnswer: -0.02, -3\/23, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-83)\/(-6) + (-3)\/(-18). Suppose n*t - 777 = -7*t. What are the prime factors of t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*g - 329*g - 43750 = 524*g + 1008 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 + -0.23. Is r bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95156 - -0.0446.\nAnswer: 95156.0446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1)**2 + -1 + 5 + sqrt(11) + 1)*-3 + (-2*sqrt(66)*-2)\/sqrt(6) + sqrt(121)\/(6*sqrt(99)).\nAnswer: -51 + 127*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2995831886.\nAnswer: 2, 1497915943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25954, 51913, 77878, 103849?\nAnswer: 129826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2088 and 39\/45529072.\nAnswer: 409761648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21792088 + -1?\nAnswer: -0.78207912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 3*p + 3 - 2*p - 2*p to the form i + w*p and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 2\/11, 47, 19\/1001, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*n - 48, -2*j + 45 = 2*j + 3*n. Solve -j = k + 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y. Suppose -n + 2*v + 3 = -7, -4*n - 2*v = 0. Solve w = -y + n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 308.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a**2\/5 - 306*a\/5 - 76\/5 = 0. What is a?\nAnswer: -38, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.5 in 4, 0.2, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 2*f**3 + 3*f**3)*(5*f - 2*f - 5*f) + 3*f**4 - 2*f**4 + 0*f**4.\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -74. What is the second biggest value in u, -3\/5, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o. Let d be r(-1). Solve w - 15 = d*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 21*p**3 + 3*p**2 + p + 5. Let h be u(3). Suppose -5*m = -3*k - h, 0 = -4*m - 6*k + 2*k + 488. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42752 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 23*q - 5*q - 19*q. Let k(m) = -124*m - 1. Determine z(k(a)).\nAnswer: 124*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from njsjjjjnnn?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1)*a*a\/(a**(2\/7)*a)*a*a)\/(a**7*a**(3\/2)))**13 assuming a is positive.\nAnswer: a**(-871\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*y, -4*y + 0*w - 2*w + 14 = 0. What is the third derivative of -y*r**4 - 6*r**2 + 30*r**2 - 5*r**4 wrt r?\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 14) to base 3.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - sqrt(65)*-2)*2 + sqrt(65))*-2)\/(sqrt(35)\/(sqrt(63) + sqrt(63)*-2)).\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14282231 is divided by 249?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1427429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 784*y - 2*y**2 + y**4 - 10 + 7 - 785*y + 5*y**3 as h*y**3 + g + k*y**4 + f*y + b*y**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/14 + 677*h**4\/42 + 750*h**3\/7 + 792*h**2\/7 - 808*h. Find w such that n(w) = 0.\nAnswer: -132, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4*m - 1304*j**3*m - 10*j**3 - 556*j**2*m + 3*j**2 + j*m + 40 wrt j.\nAnswer: 48*j*m - 7824*m - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -11 - (1 - 0 - (-3 - -17))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17696734 to the power of 1\/2, to the nearest integer?\nAnswer: 4207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2 + 3 - 2 - 3 + (-1 - 1 + 1)*(4 - 2 - 4) + 3 - 1 + 0)*(-1 - 3 + 3)*(-1368*i - 2341*i - 1751*i)*(-3*i**2 + 0*i**2 + 2*i**2).\nAnswer: -16380*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 35 + 35 + 10*s**2)*(6 - 2 - 2 + (-3 + 7 + 0)*(4 - 2 - 4)) to o*s**2 + v + i*s and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (686 - 694)*(2278\/(-10224) + 122\/549).\nAnswer: 1\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -530, 10, 3, 119.\nAnswer: -530, 3, 10, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u - 1565*u**3 + 20*u + 1351*u**3.\nAnswer: -214*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*((-27)\/(-63))\/(300\/35).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5467*y - 3744. Determine a(1).\nAnswer: 1723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 22.1. Let z = q + -12. What is the second smallest value in 2, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -45.04297?\nAnswer: 44.84297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, -2, 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, 5, -25, 0 in descending order.\nAnswer: 5, 0, -25, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8555847 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183038376.\nAnswer: 2, 3, 7626599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 191 = -79. Calculate the highest common divisor of 270 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (2 - 1) + (13 - -1468)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 11. Let t be o(-12). Let x be t\/4*-6*2. Suppose -4*s - 30 = -n, 0*s = -x*n + 4*s + 66. Calculate the greatest common divisor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 18*h - 822. Suppose 4*d + 5*o = 271, 4*d + 0*o - h = -2*o. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**5\/5 - 17*c**4\/4 + c**3\/3 + c**2\/2 + 11. Find the third derivative of z(f) wrt f.\nAnswer: 24*f - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.08216344 to two decimal places.\nAnswer: 7.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 21. Suppose -67 = -5*b - 2*f, -3*b - b - s*f + 44 = 0. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**19*o)**(-3\/10)*o**(2\/5)\/o*o**(3\/16)\/o)**31 assuming o is positive.\nAnswer: o**(-18383\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/9 + ((-152)\/(-9))\/(-4). Let c = 4 + -6. Let r = c - f. Put -3, r, -5 in decreasing order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2 + 10*j - 3. Let c(y) = 11*y**2 - 21*y + 5. Let i(f) = -4*c(f) - 9*g(f). Let n = 89 + -79. Is i(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7 - 10 - 2*y + 3*y + 2*y in the form l*y + j and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9915603979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 507 - -5?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -23\/6 (c) -5 (d) -2 (e) -9 (f) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -732 and 0.044.\nAnswer: -731.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 - 540 - 10*p**2 - 10*p**2 - 1612.\nAnswer: -7*p**2 - 2152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22244*c**3*z + c**3 - 6*c**2*z - 438*c**2 wrt c.\nAnswer: 133464*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3*d**2 + 2*d**2 + (2*d**2 - 2 + 2)*(0 + 1 + 1) - 1 - d**2 + 1 - 4*d**2 + d**2 + d**2)*(-4 + 4 - 2*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*z - 1099 + 3*z**2 + 2216 - 1115 in the form p + b*z**2 + i*z and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*r**2 + r**3 + 13*r**2 + 6*r**2)*(-2*r + 2*r + 2*r**2).\nAnswer: 2*r**5 - 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 3072?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) 5 (b) 2 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 11*d - 24. Let b be z(13). Solve 3*v = v + b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1619 - -2382. Suppose 0 = -q - 4*v - 469, 3*q + v = -a - 655. Is 22 a factor of (q\/22)\/(1\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25019.4 or -4?\nAnswer: -25019.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -36, -73, -148, -273, -460, -721, -1068?\n\"Answer: -2*z**3 - z**2 + 6*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -7. Let u = 22 + -22.43. Let z = 2.43 + u. What is the smallest value in 3\/5, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 1, w: 2, k: 2, i: 8}. Give prob of sequence wi.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*q**2 - q**3 + 2*q**3 + q**3 in the form g + o*q**3 + f*q**2 + a*q and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-366)\/2013)\/(2\/(-143)). Solve -18*m + 12 = 3*q - a*m, -2*q + 1 = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 59\/(-17) + 3. Let n = -47\/153 + w. Sort 4, 0, n in decreasing order.\nAnswer: 4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71 + 46*r + 130*r + 70 + (0*r + 2*r - 3*r)*(-2 + 1 - 1) - 3 + 3 + 4*r.\nAnswer: 182*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -116*j - 1262. Let u be m(-11). Solve u*k = 13*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655216 is divided by 682?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 11. Let j be x(6). Let b(o) = -j*o + 6 - 2*o + 8*o. What are the prime factors of b(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 413071\/57 or 7248?\nAnswer: 7248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 100. Let t be (-5)\/20*-4 + (0 - 1). What is the units digit of t - (4*l)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -13 - (2 + (-1 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15366, 15367, 15368, 15369, 15370, 15371?\n\"Answer: m + 15365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 526799 and 98.\nAnswer: 1053598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276567.\nAnswer: 2276567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 7 = -q + 11, 8 = 2*u - q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -951952, -19 in increasing order.\nAnswer: -951952, -19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23809, -59139, -118023, -200461?\nAnswer: -306453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/20 + 11*n**4\/6 - 10*n**3 + 9*n**2 + 56*n. What are the prime factors of h(18)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.89 + -0.09. Let v = s - 0.5. Let u(l) = -l**3 - 2*l**2 + 3*l + 4. Let z be u(-3). What is the nearest to -1\/4 in v, -6\/11, z?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.214 in 0.6, 3, -11, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, 70, 65, 44, 1, -70?\n\"Answer: -l**3 + l**2 + 9*l + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-7 + 14 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p - 5*s - 35, -4*p + 2*s = -26. Let l(x) = x**3 - 3*x**2 + x + 2. Let t be l(2). Solve t + 9 = 3*b + 3*i, p*i = -b + 23 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6353.07kg to micrograms.\nAnswer: 6353070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1000111110001011 (base 2) to base 8\nAnswer: -107613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o + 7 = 18*o. Let r be o*((-46)\/14 + 14\/49). Factor 8\/3 + 32\/3*p**2 + 28\/3*p + 4*p**r.\nAnswer: 4*(p + 1)**2*(3*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-323)\/(1\/(-2) + 27\/18). Let i = f + 524. What are the prime factors of i?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - c = -4*c, -2*o = 5*c + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:13 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**3*u**4 + 4*l**3*u - 67*l**2*u + 815*l*u**4 + u**2 wrt u?\nAnswer: -96*l**3*u + 19560*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + (2 - -19))*-9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4649256 and 4390964.\nAnswer: 79037352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50218991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995426 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3 + 33456788*k**2 - 133827128*k + 133827120 = 0. Calculate k.\nAnswer: 2, 16728390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1 + 4 - 6 + 2. Let c(k) = -2*k - 7. Let z(x) be the second derivative of -x**3 + 11*x**2 - 49*x. Let j be z(3). Calculate j*b(s) - c(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -2\/5, -0.01, -0.0265, 2, 0?\nAnswer: -0.0265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kssb when four letters picked without replacement from bddsksddb.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/30 - w**4\/12 + w**3\/2 + 3*w**2. Let v(s) be the first derivative of g(s). Find the first derivative of v(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*c = 13, -5*u - 2*c + 7 = -4*u. What is the derivative of -u*d**4 + 1164 + d**2 - 1149 - d**2 wrt d?\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 - 7)*(-2 + 2 - p)*(1 - 1 - 2*p).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.62 + -7.67. Which is the closest to 2? (a) -5 (b) 0.7 (c) l (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5986*h = -5975*h - 154 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3040\/100)\/(((-1408)\/80)\/(-22)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -81*y + 3801. Determine g(47).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18540 and 24004665.\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 429929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*1*-2 + 5 + sqrt(720) + 0 + sqrt(720) + sqrt(720) + -3 + sqrt(720) + 2 + sqrt(720) + -4)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c - -535?\nAnswer: 4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1283 + -0.1283265. Round j to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2110 and 214280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 174274 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1392905666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/9 - 12920724*x + 187813247269698 = 0.\nAnswer: 29071629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*w**4 - 10 + 2*w**2 + w**2 + 47*w**4 + 47*w**4 - 5*w**2 to m*w**3 + x*w + r*w**2 + s*w**4 + g and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16901096 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h + 18*h + 1885 - 1885 - 42*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 18*z. Let h be u(-5). Let c(o) = 2*o**2 + 28*o - 22. Let d be c(h). Solve 0 = -a - d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:26 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*z + 828 = 835, 3*z - 19 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5374720 by 1105.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(960)*-3)\/(sqrt(72)\/(sqrt(54) + sqrt(6)) - (-4*(sqrt(12) - sqrt(192)) - sqrt(12))))**2.\nAnswer: 46080\/1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4818441697?\nAnswer: 4818441697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1.9, -1.1, 3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -4, -1.2, -1\/3 in increasing order.\nAnswer: -4, -1.2, -1\/3, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24b2442 (base 12) to base 15.\nAnswer: -97329e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*q*w**3 + k*q*w**2 + 277884*k*w**3 + 41*k*w**2 + 38*w**2 + 6*w wrt w.\nAnswer: 6*k*q + 1667304*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Let y = -9 + g. Put y, 4, -2 in descending order.\nAnswer: 4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*w = 244 + 204, 5*o + 2196 = -4*w. Put -2, -5, o in increasing order.\nAnswer: o, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**2\/2 + 3*w - 4. Let q be r(-4). Let i(f) = 3*f**3 + 4*f - 4. Let o(k) = 5*k**3 + 7*k - 7. Give q*i(v) - 4*o(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r + r**2 + 2*r - 23*r - 4*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 + 585\/8. Let k = 2.72 + 2.28. Which is the second biggest value? (a) t (b) 1 (c) k (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/8 - 45*i**4\/8 - 3*i**3\/4 + 139*i**2\/4 - 363*i\/8 + 135\/8.\nAnswer: (i - 45)*(i - 1)**3*(i + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1444517 + -802\nAnswer: -1445319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6646 is divided by 391?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, -2, 1, 42, 493 in descending order.\nAnswer: 493, 42, 12, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szgg when four letters picked without replacement from sqgzgq.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -22*d - 418. Let w be s(-19). Suppose 0 = -0*t - 2*t + 14. Differentiate -8*c - 8*c + w*c + t*c + 11 wrt c.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1169 divide 59075113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.36 + -2.3. Which is the nearest to 1? (a) l (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 3)\/((-8)\/12). Let j(p) = 5*p - 49. Let h(q) = 8*q - 96. Let r(l) = -4*h(l) + 10*j(l). Let z be r(6). What is the biggest value in 22, z, y?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-8))\/((-44)\/176). What is the third derivative of -10*q**2 - q**2 - 26*q**5 - q**4 - 140*q**v wrt q?\nAnswer: -9960*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1696 = -34*t - 472. Suppose 37*a - 79170 = -5*u + t*a, -3*u = -4*a - 47525. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109457782 to the nearest integer?\nAnswer: 10462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 2*a**2 + 2. Let j be t(-2). Let r(g) = -g**2 - 9*g - 80. Let m be r(-8). List the prime factors of (-1)\/j - 16980\/m.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -361, -10, -2 in descending order.\nAnswer: 3, -1, -2, -10, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32467736?\nAnswer: 2, 7, 41, 79, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-5) - 4 - (1 - 3). Solve 0 = -3*l + 2 + j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27070790 is divided by 329.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -829365050 divided by 2\nAnswer: -414682525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4484, -17689, -39138, -68363, -104896, -148269?\n\"Answer: 78*i**3 - 4590*i**2 + 19*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/(-88)*((0 - 3) + -1) and -32\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 + 5*n + 7. Let k(y) = -4*y - 166689*y**3 + 166692*y**3 - 6 + 0. What is -5*k(u) - 4*z(u)?\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-seven halves of a century?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-32)\/12 - 20\/(-6). Let n be 280\/21*6\/4. Suppose -8*z = -s*z - n. Sort 3, -3, 0, z.\nAnswer: -3, 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14601, -618, -4, -2 in descending order.\nAnswer: -2, -4, -618, -14601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**7\/1260 - z**5\/120 + z**4\/4 - 4*z. Let a(k) be the third derivative of o(k). Differentiate a(w) with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:40 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 21*v + 159. Calculate the least common multiple of 3 and y(17).\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24542, 57986, 91428, 124868, 158306, 191742, 225176?\nAnswer: 258608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyymyyyyyyyyyyyy. Give prob of picking 2 m and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + -52. Let c = 62.86 + t. Let o = 1.73 - c. What is o rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -8*r + 15*r. Let -t**2 + 0 - 5\/2*t**r + 0*t = 0. What is t?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 - -477?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + sqrt(833) + (sqrt(833) - (sqrt(833) + -1)) + -5 + sqrt(833) + -5 + ((sqrt(833) - (sqrt(833) - sqrt(833)*2)) + sqrt(833))*-5)*6)**2.\nAnswer: 26208*sqrt(17) + 5068548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 490, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-21) + 38\/14. Suppose -19 = f - 4*o + 1, 2*o = 3*f. Solve f = w*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -8. Let o(s) = 20*s - 11. Let p be o(3). Let g = p - 43. Calculate the remainder when h is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 28*x + 0*x + 35 - 23*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**10\/k)**5)**(1\/37) assuming k is positive.\nAnswer: k**(55\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - 2*sqrt(170))*6 - 2*sqrt(170)*2)\/(-6*(sqrt(40)\/(-2*sqrt(4)) - (sqrt(10) + (sqrt(240)\/sqrt(4))\/sqrt(6)))).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 366*t**2 - 29*t + 11. Let q(o) = 734*o**2 - 49*o + 21. Determine -5*p(h) + 3*q(h).\nAnswer: 372*h**2 - 2*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147519?\nAnswer: 3, 37, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -895, -7178, -24235, -57454, -112223?\n\"Answer: -898*s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42693 is divided by 42682.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 9.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717 (base 16) in base 11?\nAnswer: 7578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49561 (base 12) to base 7\nAnswer: 562321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16157284 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 76*k**3 + 3*k**2 - k - 255. Let i(h) = 151*h**3 + 5*h**2 - 2*h - 510. Let g(j) = 5*c(j) - 3*i(j). Differentiate g(z) with respect to z.\nAnswer: -219*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2125 + 781. What is the tens digit of (q\/(-120))\/((-4)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) 0.09 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2356374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 - -3. Let t = u + 0.6. Is 0.2 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/(x*x**(1\/11)*x)))\/x)**(3\/13)*(x**(-2))**(-5\/4) assuming x is positive.\nAnswer: x**(853\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41689779 a multiple of 409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.48 + -23.68. Sort 14\/5, -4, 1, a in descending order.\nAnswer: 14\/5, 1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -682151259 times 1\nAnswer: -682151259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 8*v**2 + 9*v - 15. Let k be c(7). Let i(u) = -u**2 - u. Let d = -5 + 7. Let b(w) = 5*w**2 - 1. Let a(q) = d*i(q) + b(q). Calculate a(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 11?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p - 16*p + 41*p. Let g = -0.4 + 2.4. Let v = g - 2.7. Which is the biggest value? (a) p (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285*g**4 - 64*g**2 - 3?\nAnswer: -6840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4*t - 455098*m**4 + m**3*t - 18*m**2*t - 3*m**2 - 61*m*t + t - 6 wrt m?\nAnswer: 48*m*t - 10922352*m + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75\/7? (a) -12 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0110972344368 - -0.01?\nAnswer: -0.0010972344368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 358, 483, 622, 775?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3545045984 to the power of 1\/3, to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 3:26 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**20\/(g**0\/(g\/((g*g**(2\/9))\/g))) assuming g is positive.\nAnswer: g**(187\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 6*w + 6. Let i be d(-1). Let c(n) = -18*n - i - 2 + 9. List the prime factors of c(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144.00000775 - -144. Round k to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -10994\nAnswer: -1\/5497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 9*b - 6. Let y be g(10). Suppose 2*z = 4*t + 164, -y*z + 0*z = 3*t - 383. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1040 less than or equal to 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 9*v + 15. Let x be s(2). Solve 8 = 4*l - 4*b, 3*l = 4*b + 1 + x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.035 + 12. Let m = -1.125 + p. What is m rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.3282788*-0.5\nAnswer: -3.6641394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j + 376 = 4*r, -81 = -r + 4*j. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 41*y**2 + 19*y + 44. Let g be t(20). Let v = -17 - -20. Calculate the greatest common divisor of v and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0*r**4 + 0*r**6 + 0*r + r**2 + 0*r**5 - 2\/3*r**3 + 0 - 1\/70*r**7. Find the first derivative of g(d) wrt d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 8. Let o(y) = 3*y + 12. Let d(a) = -6*b(a) - 4*o(a). Let l(c) = -3*c. Calculate d(l(u)).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0024 and 16411.\nAnswer: 39.3864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 39.12257t?\nAnswer: 39122570000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 19, 14, 5, -8, -25, -46?\n\"Answer: -2*v**2 + 5*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44829 divided by -96?\nAnswer: 14943\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -1 + -7 + 73 + -60?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238 - 546. Let b = -164 - g. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -49.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 28 + 23 - (6 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 12*v**2 + 13*v. Let y be n(13). Suppose 0 = -o - y*o - 5. Round o to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92212 (base 12) to base 11\nAnswer: 120045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - -5 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38 - 31*m**3 + 38 + (m**3 + 0*m**3 + 2*m**3)*(-2 + 1 - 1) + (4*m**2 - 3*m**2 + 0*m**2)*(-m - 2*m - 4*m).\nAnswer: -44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v**8)\/(((v**(1\/5)*v)\/v)\/v*v*v**6*v)*(v**(-3)\/v**(-2\/3))\/(v*(v*v*v*(v*v**(-2\/7))\/v*v)\/v*v)**(-11) assuming v is positive.\nAnswer: v**(4654\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 2*d + 3. Let x(y) = 9*y - 56. Let o be x(6). Let r(p) = -p**2 + p - 1. Let i(f) = o*r(f) - s(f). What is i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((1 + sqrt(11) + -5 + sqrt(55)\/(sqrt(15)\/sqrt(3)))*4)**2 - (sqrt(99)\/(sqrt(9) - (sqrt(441) - sqrt(9))) - (sqrt(11)*3 + 1))) + -4.\nAnswer: -1264*sqrt(11)\/5 + 953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**6\/240 - i**5\/120 + i**4\/24 - 5*i**2\/2 + 7. Let c(u) be the second derivative of o(u). Determine t so that c(t) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 5*n)*(-836*n + 394*n + 373*n).\nAnswer: 69*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 448578\nAnswer: 448559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-d**4 + 4*d**4 - 2*d**4) + (d + 0*d - 5*d)*(-d**3 - 2*d**3 + 4*d**3) + 46*d**3 - 5*d**4 - 46*d**3 + (2*d + 7*d + 0*d)*(3 + d**3 - 3).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5619, -11237, -16857, -22479, -28103, -33729?\n\"Answer: -n**2 - 5615*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m**2 + 3220*m - 6534. Let n(a) = -2*a**2 + 644*a - 1307. Let p(c) = -14*n(c) + 3*u(c). Factor p(h).\nAnswer: 4*(h - 2)*(h + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322398396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111598202119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:30 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 332*t + 37 = 333*t, -3*n - n + 5*t = -7*n + 1 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767274 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2565, 2578, 2609, 2664, 2749, 2870, 3033, 3244?\nAnswer: 3509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 3)*6*16\/12. Suppose 28*u - 1120 = n*u. Does 40 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -459, -1826, -4103, -7290, -11387, -16394?\n\"Answer: -455*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + 4 + -1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + 62*k - 41. Give t(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:29 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 63 = -6*t - h, -3*t - 4*h - 72 = 0. Let r be (24\/(-5))\/(3\/t). Suppose 44 + r = 4*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 8. Let n be d(4). Sort n, -3, 0 in increasing order.\nAnswer: n, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*g - 31, -4*g = -5*x - 58 - 2. Let c = x + 18. Find the third derivative of -7*j**3 - 3*j**2 - j**2 - 2*j**c - 4*j**3 wrt j.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from chyfwwv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s. Let f(p) = -375*p**2 + 65*p - 211*p**2 + 15*p - 80*p. Calculate n(f(x)).\nAnswer: -2930*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 + q + 7. Let f = 14 + -9. Suppose f*c - 1 + 26 = -2*v, 4*c + 27 = -3*v. What is the least common multiple of k(v) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 12*i**2 + 12*i - 1. What is f(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:05 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:42 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1221 divided by -37\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-220)\/1298)\/(556\/(-24603)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-14)\/(-63)*-6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 + 76*h**2 - 8832*h\/5 - 9216\/5.\nAnswer: -4*(h - 48)**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 31*j**2 - 6*j + 6. Let d be l(3). Let v = 267 - d. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305\/55 + (-90)\/165\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*x**2 + 166*x**2 + 126*x**2.\nAnswer: 247*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179707 and 374?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70 - 90 - (-13 + 4)) + (-6 - (-3 + -3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9797*d*r**2*x**3 + 49*d*r**2 - 17126*d*r*x**3 - r**2*x**3 + 2*r*x + 2*x**3 - 53*x**2 wrt r.\nAnswer: -19594*d*x**3 + 98*d - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -178 + 196 + (-31 - 3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00046 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -620.992 - 1.008. Let f = 355 + o. Let m = f + 267.173. Round m to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -1\/7 (c) 264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3669090, -3669147, -3669204, -3669261, -3669318, -3669375?\nAnswer: -3669432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 1. Let z be t(3). Suppose z*r - 16 = 8. Let u = r - 8. Solve -2*j - 2 - u = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*m + 15, 8*m = 3*m + 5*s + 15. Let j(o) = -6. Let d(w) = w - 1. Let t = 9370 - 9369. What is m*d(n) + t*j(n)?\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-4\/5)*((l**(-2\/7)\/l)\/l)\/(l\/(l**(-1\/9)\/l)) assuming l is positive.\nAnswer: l**(-277\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 + 3*w + 18. Let d be x(7). Let c = d + -476. Solve -m - 2 = 0, -o - 6*m + c*m - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 + 0*h**2 - 4*h**2 - 4*h**2. Let p(s) = -4*s**2 + 5*s**2 - 2*s**2. Determine a(p(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*f - 226*f + 20518 = -11006 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + -8 + 8\/(-3). Put v, -4, 7 in ascending order.\nAnswer: -4, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -168, 2, -6, 1 in increasing order.\nAnswer: -168, -6, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, m: 3}. Give prob of picking 2 m and 1 v.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/84, 4\/7, 283?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 5137*w + 143113. Calculate c(-28).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - c**4 + 2*c**4 + (-2*c + 3*c - 2*c)*(-3 + 3 + c**3) - 141 + 141 - 152*c**4 to r*c**4 + g*c + h*c**2 + d + n*c**3 and give r.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) -10 (d) -1.61 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*g + 13*g**2 + 38*g to k*g**2 + b + q*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0116906 times 10?\nAnswer: -0.116906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 439 + -345. Calculate the greatest common divisor of v and 376.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**5*i - 122181967*b**4*i**3 + 4327*b**2*i**2 + 7*b**2*i + 344*b*i**3 - 3*i**3 wrt b?\nAnswer: 60*b**2*i - 2932367208*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 41*k**2 - 66*k + 70. What is the lowest common multiple of a(6) and 345?\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -27, 2, 7.33, 0.1, 13\/4 in descending order.\nAnswer: 7.33, 13\/4, 2, 0.1, -0.2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100576 is divided by 19837.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Suppose -4*y - 7 = -5*y. Let g(b) = -2*b**2 + y*b + 4*b - 11*b. Give g(s(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -0.2 in decreasing order.\nAnswer: 5, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 259, 950, 2343, 4684?\n\"Answer: 41*q**3 - 18*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.646 plus 0?\nAnswer: -0.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -133889.459 rounded to the nearest 100?\nAnswer: -133900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**3 - 11. Let y(t) = -4*t**3 - 4. Let r(o) = 3*n(o) - 8*y(o). Suppose 0 = -5*p + 4 + 6. Suppose 0 - 7 = p*d + g, -5*d + 2 = -4*g. Give r(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5028)\/21 + 2)*(-112)\/(-16). Let u = -1179 - v. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*v = 282*v. Solve v = 3*d - 18*d + 75 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -35*t - 1475. Give b(-42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -139*k**3 - 44*k**2 - 17*k - 1085. Let c(w) = -49*w**3 - 15*w**2 - 6*w - 361. Determine -17*c(u) + 6*x(u).\nAnswer: -u**3 - 9*u**2 - 373","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367, -827, -1321, -1855, -2435, -3067?\nAnswer: -3757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-288)\/(-84780))\/(2\/12*2). Let n = -60349\/9420 - h. What is the common denominator of n and -79\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeyeeeewzyejjeyy. What is prob of sequence ze?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*x + 253*x - 121*x.\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*k = -18, -7 = -315*y + 313*y + 3*k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8560 (base 16) to base 3.\nAnswer: 1201211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**3 - o**2 + o. Let t be l(1). Suppose w - t*w - 50 = 0. Let n(a) = a**3 + 10*a**2 - 2*a - 11. Is 5 a factor of n(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 149 (b) 0.3 (c) -105 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((-20 - -23) + 3 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 101224054\nAnswer: 101224054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*v + 17 + 6*v - 13*v)*(-128*v + 1456*v + 1491*v + 292*v) to the form k*v + c*v**2 + i and give c.\nAnswer: -3111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a - a)*((-166 + 44 + 85)*(2*a - 4*a + 4*a) + 0*a + 4*a - 6*a).\nAnswer: -76*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6548.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 110?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 4)*6\/(-126)*-3\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113419609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -899 - -895. Suppose -1 = -2*z + 5. What is the third biggest value in f, z, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0 - 2. Let r be (-1 + -1)*(t + 0). Solve 3*u + 0*u + 4*f - 4 = 0, -5*f = -r*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 5*t + 22. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/2460 - -13037\/2460. Let b = -33 - -91. Find the common denominator of (b\/(-1))\/(4\/3) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -85. Find the second derivative of 7*d + 0*d - w*d**3 - 27*d**3 + 4*d**3 wrt d.\nAnswer: -162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26555, -53179, -79803, -106427, -133051, -159675?\nAnswer: -186299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 105.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from uuwuuwuuswnvu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -d. Let x be (-1 - -3)*d\/(-8). Let u be ((-78)\/(-9))\/((-2)\/x). What is the highest common divisor of u and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) -3\/16 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*i + 10162 + 14176, -2*i + 4*x = -9740. Which is smaller: 4870 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -455, -1233, -2331, -3743, -5463?\n\"Answer: l**3 - 166*l**2 - 287*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 17 (c) -423\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1973161400 = -7424*u + 7557*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 3400211?\nAnswer: 3400223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - j - 6*j)*(0*j**3 - 2*j**3 - 2*j**3) - j**4 - 2 + 2.\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -25312, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 13. Suppose -c*k + 3 + 5 = 0. Suppose 0 = -3*w + 2*m + 128, k*w + 4*m = 5*w - 118. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3*p)**39 assuming p is positive.\nAnswer: p**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/(-224) + (-2880)\/(-14). Let r be 4*6\/8 + g\/(-70). Which is the nearest to 2\/3? (a) r (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6 - (783\/27)\/(-87) - 3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c**3 - 7*c**2 - 3*c - 3. Let y(s) = 17*s**3 - 14*s**2 - 6*s - 5. What is 5*r(i) - 3*y(i)?\nAnswer: -6*i**3 + 7*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Is c greater than 23\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**13)\/o*o)*o**(2\/7))**(14\/9)*((o**(5\/3)\/o)\/o**(-4))**(-2\/21) assuming o is positive.\nAnswer: o**(-182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.9 - -484.1. Let c = 494 - f. What is the closest to 0 in c, -10, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 22 - 2 = 0. Solve 0*h - l = 4*h + 12, -4*h + i = -3*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5314683*k**4 + 3817787160*k**3 + 1324755432*k**2 + 153261024*k + 5910576 = 0. Calculate k.\nAnswer: -718, -14\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 11*u**2 - 13*u - 17. Determine f(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 10, -3*d + d - 14 = 4*o. Let f(j) = j**2 + 8*j - 1. Let h be f(o). Let t = 32 + h. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*r - 3*z - 0*z, 2*z = r + 6. What is the third smallest value in -3, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 s when four letters picked without replacement from zzsdszdd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-12)*-5 - 1. Let g = 1308 + -894. Let q = g - 418. Which is the fourth smallest value? (a) 2 (b) q (c) -2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2218 - 2222. Which is the nearest to 1? (a) 2\/11 (b) -1\/4 (c) -1\/8 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26960000 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3455*j - 595 + 595 + 32738*j + 1917*j)*(2*j + 0*j - 5*j).\nAnswer: -93600*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -33. Suppose -4*f + 4*t + 35 = l*t, -2*f + 40 = -4*t. Find the third derivative of -f*x**3 - 27*x + 27*x - 14*x**2 wrt x.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 1 (c) 0.3 (d) 240 (e) 4 (f) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r - 272 = 0. Let y = -81 + r. Suppose -2*c = -7*c + y. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/5)\/k*k)\/k)**(-2\/15))**(-6) assuming k is positive.\nAnswer: k**(-24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohhho. Give prob of sequence hoh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 - 3*i**4 - 221742*i**3 + 7129216*i**2 wrt i.\nAnswer: -60*i**2 - 72*i - 1330452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10549320 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + v + 1, -p + 4*v - v + 15 = 0. List the prime factors of (2\/6)\/(p\/198).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 2:34 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1473998.\nAnswer: 2, 809, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.1054 and 126.\nAnswer: 134.1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0088772 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**6\/360 + m**4\/12 + m**2. Let a(d) be the second derivative of k(d). Let y(t) = 4*t**2 + 0*t**2 - 3*t**2. What is y(a(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/13*12\/(-36)*-7.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77306 by -155.\nAnswer: -77306\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 1:04 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 363 (b) -1 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*f - 3*y, 4*f + 5*y = 10*y - 36. Let h be -2 + (-40)\/24*(-27)\/20. Which is the closest to f? (a) h (b) 3\/5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(68\/(-72) + 1). Suppose -1 = -2*t - 5*p - 0, -w = -5*t + 3*p. Which is the biggest value? (a) t (b) 4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(9\/((-54)\/(-4))). Let p = g + -8. Differentiate 5 - 3*r**2 + 5*r - p*r - r wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, 6, 27, 68, 135?\n\"Answer: a**3 + a**2 - 3*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 11) to base 9\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:09 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 7*g**2 + 40*g + 37. Determine z(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-25)\/10) - 0. Let b be (0 + 1)\/(((-8)\/m)\/(-4)). What is the remainder when 94 + (b + -2 - -6) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3047 and 41807333.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 47. Which is the nearest to 0.1? (a) 2 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - s = 93, s = -3*d - d + 83. Let g = -3 + d. Let t = 6 + g. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87189781 to the nearest integer?\nAnswer: 9338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226440?\nAnswer: 2, 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Let k be 260\/(-15)*q\/(-2). Suppose -3*r = -247 - k. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/5658 and -86\/438495.\nAnswer: 876990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 106432 and -272.3.\nAnswer: 106159.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.6 - 28.181. Let l = -0.119 + w. What is the second biggest value in l, -4, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -400272 and 0.4.\nAnswer: -400271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = x - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/30 and 197\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 319056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 113297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -i + 5*q + 5, -2*i - 2*q = -4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51715915*n**3 + 23998555*n**2 - 2 wrt n?\nAnswer: 310295490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 120 + m**2 + 0*m**2 - 5*m - 122 + (-1 + 4 - 9)*(-m + m + 4*m)*(4*m + m + m) as y*m + h + r*m**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) -4 (c) -2.8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbvbbbb. What is prob of picking 2 b and 1 v?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2)\/((-3)\/(-4)) + -7. Let r be (-6750)\/((z\/(-90))\/(8\/3)). Round r to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 2 (c) 0.1 (d) 14 (e) 0 (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 1 = 97. Let n(r) = -r**3 - 2*r**2 - r + 15. What is the smallest common multiple of b and n(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-3\/11)*r*r\/(r**(-3\/4)*r))**(-2\/139) assuming r is positive.\nAnswer: r**(-133\/3058)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3*d*d\/d**5*d*d**(-5)\/(d*d**(-2\/9))*(d\/(d\/d**5))\/(d*d**(-4)*d)*((d*d\/d**(-1\/2)*d)\/d)**(-19) assuming d is positive.\nAnswer: d**(-815\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -21*v**2 - 8*v + 11. Let l(t) = -11*t**2 - 4*t + 6. What is -6*g(c) + 11*l(c)?\nAnswer: 5*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 101*d - 28*d - 13270451. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by 6\nAnswer: -155\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*f + 3*q, -3*q + 11 = -7*f + 8*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, 37\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2b8949 (base 13) to base 16\nAnswer: 106acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410 (base 9) in base 6?\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 31*q**2 - 2*q - 6. Let b(o) = -2*o**3 - 30*o**2 - 2*o - 6. Calculate 4*b(p) - 5*g(p).\nAnswer: 2*p**3 + 35*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 23 = -3*v, -2*v - 456*x = -457*x - 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y**2 - y. Let c = 2 - 3. Let l be r(c). Let f be 2*(2 - l) + 1. Solve f*k + 3 = -2*n - 2*n, 2*n = k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 > -54885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10*w**2. Suppose 4*h = -c - 0*c + 7569, 2*h - c - 3789 = 0. Let x(u) = -1893*u + h*u + 4*u**2. Determine i(x(a)).\nAnswer: 160*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2965613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**2 + c**3 + 3*c - 2*c + 0*c - 10. Let w be f(7). Sort -0.4, 0.5, w in ascending order.\nAnswer: w, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12467 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*1*(-84)\/9856*11?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(1\/31))**(-47)\/((k*k*k**(-2)\/k*k*k*k**(-5))\/(k**(-7)*k\/((k**(-7)\/k)\/k)*k*k)) assuming k is positive.\nAnswer: k**(743\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -17 - 12 - 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 123\/(-630) + (-4)\/(-40). What is the second biggest value in 1\/2, -4, s, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -1\/3 (b) -18 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2166 is divided by 68.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10664460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(18\/(-46)) + -3)\/(19\/57)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 - 1 - 2*a**2 - 2*a**2 - a**2. Let b(k) = 8*k**2 + k - 3. Let d(q) = b(q) - 3*c(q). Find the second derivative of d(g) wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(-2\/5))\/n)**18*(n**0)**(-1\/75))\/(n**4\/(n\/n**(-1\/7))*(n*n*n**4)\/n**(2\/3)) assuming n is positive.\nAnswer: n**(1786\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -141, -153?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -3. Round n to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.511558 to 2 dps.\nAnswer: 134.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1677 greater than or equal to 0.094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 93 (base 13) to base 12\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 + 3*s + 41 + 41 - 90)*(0*s + 0*s + s) to m + j*s**2 + f*s + a*s**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, e: 2}. What is prob of picking 1 c and 2 e?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55488881543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**15\/x)\/x**(2\/7))\/(x**(-1))**12 assuming x is positive.\nAnswer: x**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 351610?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288676*(-1*10\/56 - (-207)\/483) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -37*u**2. Let q(t) be the first derivative of t**3\/3 + 46. What is q(n(z))?\nAnswer: 1369*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2208269 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -171 + 23 - -15.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 329, 370, 449, 572, 745, 974, 1265, 1624?\n\"Answer: n**3 + 13*n**2 - 5*n + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - k**4 - 10616*k**3 + 10617*k**3 + 42*k + 23*k to o*k**3 + a*k + j*k**2 + d + b*k**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -279*x**3 + 10*x**2 - 12*x + 1. Let o be u(2). Is -2217 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**17)**(-2\/9) assuming b is positive.\nAnswer: b**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1379358 = 1379355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 23*r - 54. List the prime factors of v(21).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7482923 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20788400 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = 3. Suppose j*t - 3 = -2*a - 7, 5*a - 4 = -4*t. What is the tens digit of ((-42)\/a)\/((-2)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4 + -1 + sqrt(2) + 1 + sqrt(2) + -3)*5 - (0 + sqrt(242) + 0 + 4*(sqrt(2) + -1))**2).\nAnswer: -461 + 130*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1196 and 7\/741?\nAnswer: 68172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11604 bigger than 11610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(315)\/sqrt(5).\nAnswer: -5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 121*s**4\/6 + s**3\/2 + 6*s**2 + 16*s. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:47 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 230?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-14) - 15416\/6888?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 24*a**2. Let m(r) = -174*r**2 + r. Give m(g(q)).\nAnswer: -100224*q**4 + 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/((z\/(z**(-18)*z*z))\/z)))\/(z\/(z**19\/z)*z))\/(z*z**(11\/4)*z**(21\/4)) assuming z is positive.\nAnswer: z**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*j - 11 = -0*j, -3*t = 4*j - 25. Suppose y = -y + 6. Suppose 3*r = t*w + 69, -4*r + y*w + 25 + 69 = 0. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 11*a**2 + 17*a - 9. Let o be v(-9). Solve -4*t = -o*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45081 + 31601791\/701. Calculate the common denominator of 11\/5 and u.\nAnswer: 3505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-25)\/(k*k**32*k))**40 assuming k is positive.\nAnswer: k**(-2360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 11352?\nAnswer: 170280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*-212368\nAnswer: -424736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 41600 = -6*k. Suppose -9*d = -5*d + k. Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(84)*-1 - sqrt(84)) - (sqrt(84) + sqrt(84)*-3)*-2)\/(-6*(sqrt(12)*-2*6 - sqrt(12) - (-2*sqrt(144) + sqrt(144))\/sqrt(12))).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g**2 - 208*g + 714*g**2 - 119*g.\nAnswer: 674*g**2 - 327*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17804*r - 12718*r = 284816 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 1341803416?\nAnswer: 1341803415.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -56*l - 4. Let r be z(-1). Suppose 82 = r*o - 438. Solve 57*t - o = 62*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 2*q - 6 + (4*q - 3*q - 2*q)*(3 - 4 + 2) + 2*q + 1 - 1)*(0 - 2 - 1).\nAnswer: 3*q + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 + 10)\/(1\/(-4)). Suppose -1 = y, -3*j - 162 = -0*j - 3*y. Let h be (11\/j)\/(q\/30). Is h greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or 59756\/565?\nAnswer: 59756\/565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 66 = 108. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 + -86. Suppose -5*l + 2*x = 11, 5*l - 3*l = -2*x + 4. Is l less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07056398151 rounded to five decimal places?\nAnswer: -0.07056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**4 + y. Let l(a) = -a**4 - a**2 - a**4 - 6*a + a**4 - 2*a**4. Let w(n) = 6*j(n) + l(n). What is the third derivative of w(x) wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24136.\nAnswer: 2, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, d: 8, w: 2, a: 2}. Give prob of sequence cc.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15 = 5*v, -2*j + 7 - 1 = -4*v. Suppose 1 = -j*s + 11. Suppose 5*o - 22 = -3*l, 1 = 2*l + o - 23. Calculate the highest common factor of l and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**4 - 785*l**3 - 6255 wrt l?\nAnswer: 8*l**3 - 2355*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbhrfbfhfbbbbhrbb. Give prob of sequence rbhh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0073 - 104.5?\nAnswer: -104.5073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53282454 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j - 104. Let a = j - -26. What is the hundreds digit of (-10)\/2*(-23 - a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*p + 28*p + 28*p - 192*p + 69*p + 56*p.\nAnswer: 49*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:59 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 47 + 41 + s)*(-2*s**2 + 0*s**2 + 3*s**2 + (6*s - 9*s - 11*s)*(-2*s - 4 + 4)).\nAnswer: 29*s**3 + 696*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 + 162*k\/11.\nAnswer: -2*k*(k - 81)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4364422, 8728845, 13093268, 17457691, 21822114, 26186537?\n\"Answer: 4364423*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {v: 2, m: 1, w: 2, u: 9}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = -10*j + 7*j + 3*l, 15 = 3*l. What is the lowest common multiple of 60 and j?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.8 * -26\nAnswer: -592.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1682432, -1682467, -1682502, -1682537, -1682572?\n\"Answer: -35*b - 1682397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z + 133481 - 22223. Let m = z + -4142. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.15128 and -9?\nAnswer: 8.84872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5220 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hffh when four letters picked without replacement from {f: 7, h: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*n**5 + 3 - 12 + 8*n**3 + 9 + 12*n**4.\nAnswer: -4*n**3*(n - 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 + -2.4. What is the second smallest value in c, 4, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z = -5*z. Suppose z = 2*b + 6*b - 21224. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/7 (b) -0.2 (c) -6\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029939269 rounded to six dps?\nAnswer: -0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from 3.709683443626.\nAnswer: 3.639683443626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 19967 = -z, -3*u + 4222 + 35682 = 2*z. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 40. Let j(d) = -2*d + 3 - 7 + 3. Let f(s) = 2*s + 2. What is r*j(p) + 3*f(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. Suppose 0 = 5*r + m - 19, -3*m + 2*m + 7 = t*r. Solve -3*z - 10 = s, r*z - s + 8 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2194)\/(-30) - ((-812)\/3045 - 14\/(-35)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, 22, 1\/6, 3\/16 in descending order.\nAnswer: 22, 0.21, 3\/16, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let l = y + 3. Suppose -l*f = -9*f + 60. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.882 - 0.118. Which is the third biggest value? (a) 1\/40 (b) -3\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 1. Let b = 26 + -22. Let l(n) = 2*n**2 - 4*n - 9. Let g(s) = b*h(s) + l(s). Let r be g(6). What is the greatest common factor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 14*h - 6*h)*(-13 + 11*h**2 + 13).\nAnswer: -242*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**(-5\/6)*x*x*x)\/x*x)\/x**(2\/35))**(3\/2)\/((x*x**(-4))\/x*x*x*(x*x\/((x\/(x\/(x**8\/x)))\/x)*x)\/x*x*x**(6\/11)\/(x*x**(-1\/9))) assuming x is positive.\nAnswer: x**(159497\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2057543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = q - 5*i, q = -3*i - 40 - 47. Let f = -64 - q. Let a(n) = -n - 5. Let x be a(-5). Solve -f = 2*r - x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 5*z = -51*z. Solve -18*d + 12*d + 18 = z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**3 - 1108*s**2 + 588*s + 162871. Determine w(-277).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*m = -0*m + 18, 0 = z - 2*m - 7. Suppose -20 = o + z*o. Let b(w) = -6*w - 3*w**2 - 7 + 3*w**2 - w**2. What is b(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4818658037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3435 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 391762216 to the power of 1\/3, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -1\/3 (c) 0.04 (d) 63 (e) -20 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 4:28 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.2 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56423232 to the power of 1\/2, to the nearest integer?\nAnswer: 7512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17694615 or 17694612?\nAnswer: 17694615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145\/6*r**2 + 222*r + 2\/3*r**3 - 54 = 0. Calculate r.\nAnswer: 1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -24*b**3 - 72*b**2 - 50*b + 6. Let s(v) = v**3 + v**2 + 2*v - 2. Let a(z) = 2*h(z) + 12*s(z). Find f, given that a(f) = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356657.\nAnswer: 7, 50951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 347*k - 4161. Let z be r(12). Sort -2, z, -1594 in descending order.\nAnswer: z, -2, -1594","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + (-2 - (-1 + -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:22 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 13. Let f be (-25)\/20*-8 - (0 + -7). Solve -2 = b*j - f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106988?\nAnswer: 2, 7, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = y + 2*k + 3965, 4*y - 2*k + 15480 = 0. What is y rounded to the nearest one hundred?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2. Let n(k) = -343*k. What is x(n(i))?\nAnswer: 117649*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2656 + 239*m - 2656 + 54*m)*(-m + 0*m - 2*m + 2) as i*m + s + y*m**2 and give i.\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 5. Suppose 3*r + 9 = -p, 4*p + 3*r = p - 21. Let o be n(p). Let v(t) = 0 - 5*t + 7*t + 1. Calculate v(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-66)*(-30)\/(-140)*174\/(-319)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1865 is divided by 301.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.167 - 0.612. Let m = l - -0.445. Let d = -3.04 - -0.04. What is the biggest value in 3, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 494 - 490. Suppose -21*y - q = -25*y. Let d = 2 + -1. What is the closest to d in -8, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 - 5*u**2 + 2*u**2 + (4*u - 3*u - 4*u)*(-7*u + 2*u + 3*u))*(3 + 3 - 7) to the form x + g*u**2 + q*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/8075*-25*171.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*t = 64*t - 1668618. List the prime factors of t.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671006.\nAnswer: 2, 3, 278501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44229 rounded to 2 dps?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c**3 - 165*c**2 + 360*c + 540. Let s(q) = -5*q**3 + 55*q**2 - 120*q - 180. Let m(v) = -3*d(v) - 10*s(v). Let m(i) = 0. What is i?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 2*d**3 - d**4 + (1 - 2*d**3 - 1)*(2*d - 3*d - d) - 3*d**4 + d**4 + 4*d**4 + 4*d**4 + 0*d**4 - d**4 - 3*d**4 - 1 + 1.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291036542\/3415 + -85223. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1\/5, 0.5, 4, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1042386549, 1042386550, 1042386551, 1042386552, 1042386553?\n\"Answer: o + 1042386548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 2, q: 1, h: 1, k: 2}. What is prob of picking 1 d, 1 k, and 1 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (21\/(-4) + 4)\/(42\/(-11760))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 8*t + 11. Let m be b(-8). Let r(h) = -h**2 + 10*h + 10. What is r(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -42.1. Let z = 2.5 - 3. What is the closest to g in 5, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 6*g**2 - 5*g + 6. Let q be (-174)\/36 - (-6)\/(-36). Give x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - -4) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 6. Let m be j(-6). Let t = 12 + m. Let x be ((-3)\/10)\/(9\/t). Which is the closest to 1? (a) x (b) -4\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -18*c. Let d(o) = 14*o. Calculate y(d(t)).\nAnswer: -252*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10727 is divided by 298.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 + 100 - 26)*(-o - 2*o + 8 + 139) to the form d*o + r and give d.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 3*c**2 - 5*c + 1. Let a(m) = -m**3 + 34*m**2 - 92*m - 26. Let r be a(31). What is v(r)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1204.46+535043\nAnswer: 533838.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 982641\nAnswer: -2947923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f3 - -3?\nAnswer: -1f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 21 + 29. Let b be (18\/60*8)\/(u\/(-10)). Suppose 0 = -b*j + 9*j + 567. Calculate the remainder when j is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:15 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1626787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 39)*(0 - 1). Let b(h) = h + 1. Let a be b(-1). Suppose a = -v + 53 + q. What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 4\/7, -60, 3\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32230.15 nanometers?\nAnswer: 0.03223015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -1. Which is the fourth biggest value? (a) -1 (b) 1 (c) m (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58\/383 - 335484\/2210293. Let g = -248169\/46168 - r. Find the common denominator of (-2)\/9 - 2174\/180 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 0*g - 5*g = 0. Suppose -5*n + 15 = 5*r - g*n, 4*r + n - 9 = 0. What is the smallest common multiple of (5 + -3)\/((-2)\/(-14)) and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*386.69922.\nAnswer: 116.009766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-12)*3*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 10:39 AM?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*n + 4 = -91*n. Let y be (0\/5 - n) + 12. Suppose y = 4*f + 14. Put 1, 0, f in ascending order.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1032)\/(-360) + (5 - 2)*-1. Suppose 5 = -3*w - 2*w. Is y equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = 0. Let a be 2 - ((s - -1) + -7). Let w = a - -4. Solve 0*q = -3*q - w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/7)*l)**47\/((l\/l**(-1\/4))\/l*(l**(2\/15)*l*l*l)\/l) assuming l is positive.\nAnswer: l**(32839\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q - 5. Let p be w(-6). Suppose -m + 3*h = m + p, -2 = -2*m - 2*h. What is the units digit of (-618)\/(-36) - m\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5) + 1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79.02 - 0.02. Let n = y + -79.000134. Round n to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2404 is divided by 70?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 22346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -637071, -637070, -637069, -637068, -637067, -637066?\nAnswer: -637065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + a - 4*a - 3*a + a + 4*a + (0*a + 0*a + a)*(-2 + 0 + 3) + 1 - a - 1 + (0 + 1 + 0)*(-5*a + 2*a + a) + 0*a - a - a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 + (-2)\/(0 - -2) and (176\/24)\/((-2)\/(-3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 - -12 - 1*-1. Suppose -z*r = -0*r - 2*q - 1008, -247 = -r + 3*q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/8869823 in -2, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.27596 and -180.\nAnswer: -180.27596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*z + 17*z - 3*z**2 + 17*z.\nAnswer: -3*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -391 or -395?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9556070, -9556070, -9556062, -9556040, -9555998, -9555930?\nAnswer: -9555830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 + 2 - 12*q**2 + 6981*q - 6980*q to y + k*q + t*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o**2. Let h(n) = -16*n**2 - 78424*n + 78424*n. Give h(p(k)).\nAnswer: -2704*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-51))\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9045 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:13 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-5)*205\/(-15). Let q(a) = -a**2 + 42*a - 39. Let d be q(h). What is the third smallest value in d, -0.06, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 + 56772*k\/5 - 56773\/5.\nAnswer: (k - 1)*(k + 56773)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 528, 5 in descending order.\nAnswer: 528, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10207 is divided by 915.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + v**2 - 2*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -9) + (5 + 2 - -7 - 30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789818819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1459464 divided by 60811.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236081*d + 235518*d + 31528 = 0 for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.98297 rounded to 2 decimal places?\nAnswer: 56.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**3 + 31*t**3 + t - t - 15*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7\/(g*g**(4\/7)*g))\/(g*g**(-2\/11)*g)**24)**(-4\/5) assuming g is positive.\nAnswer: g**(12076\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 9, g: 2, l: 3, j: 3, i: 1}. What is prob of picking 1 l, 1 i, and 1 j?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(6\/4) + 1. Suppose -6 = 2*u + 14. Let y be u\/(6\/3*s). Solve -y*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412042432 (base 5) in base 6?\nAnswer: 205431403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 2311?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 161*d**3 - 7*d*l**3 - 5*l**3 + 62 wrt d?\nAnswer: 483*d**2 - 7*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.4 (c) 2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 63\/15 + (-1)\/5. Suppose -c + 4 = 5*d - 11, 0 = -2*c. Suppose 3 + 3 = d*t. Solve 3*l + t*b = -5, -2*b - p = -0*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 2, -3, -20, -55, -114, -203?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 73?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370724580 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(252) + sqrt(252) + -1 + 3 + -3.\nAnswer: 4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-7))\/(-3)*-2*(-1064)\/38.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 512612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 333 or 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1059467110.05 - 6709.\nAnswer: -1059473819.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/2, -5, 1, -0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/4 - 309*o**3\/2 - 3612*o**2 - 18072*o + 51840 = 0 for o.\nAnswer: -180, -16, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 41. Let m be (v*(-5)\/(-10))\/(-1). Let w be 12*(-5)\/((-45)\/12). Solve -d + 3*f + 2 + 6 = m, 4*d - 4*f - w = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/5 - 82043*z**2\/5 + 4874537*z\/5 - 2416758\/5 = 0. What is z?\nAnswer: 1\/2, 59, 40962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.033 - 0.193. Let a = i + -0.04. Let o = 0 + -0.1. Put o, a, -1 in ascending order.\nAnswer: -1, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -514796 at least -514795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20146*f + 40257*f - 20112*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -67, -18, 29, 62, 69, 38?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260414631.\nAnswer: 3, 1979, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 157108190287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 19 = -4*k + 1, -3*k - 20 = 5*l. Suppose -2*w = 5*f - 18, k*f + 36 = 4*w + 2*f. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 - -92 - (-19 - 4) - (-3 + -45 - 1)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a - 1260. Calculate r(97).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzza when four letters picked without replacement from {a: 3, j: 1, z: 5}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -30\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + -6 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5512\/848)\/(91\/406)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16115 and 7325?\nAnswer: 80575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + -6. Let n = g - -25. Suppose -3*i + 3*x + 133 = -x, -5*i + n*x = -245. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4416)\/128)\/(189\/(-252))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 24. Suppose -b = -4*b + i. Find the second derivative of -3*r**4 - 5*r + 2*r**b + 4*r wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5496 - -0.34.\nAnswer: 0.8896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8301 + -8301.206. What is x rounded to 3 decimal places?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 826893 and 4819.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 43\nAnswer: 35\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p = 75*p + 70. What is the nearest to 2 in -17, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q + 73*q + 443*q.\nAnswer: 526*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(3))\/sqrt(7)*-6.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*x = -3*x - 22*x + 65 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197584438 to the nearest integer?\nAnswer: 14056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/45 (b) 4 (c) 1\/12 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 47544*w. Let z(g) = 75*g**2. What is j(z(p))?\nAnswer: 3565800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 139589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4267 + 948.5509815\nAnswer: 948.1242815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, f: 3, e: 2, t: 1, o: 1, p: 1}. What is prob of picking 1 p and 1 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 + 5*v + 89 - 73.\nAnswer: 5*v + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -31. What is the units digit of 70\/g + (-4)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 28. Let t = 227 + 60. What is the highest common factor of a and t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 - t - 1. Let f be j(-2). Let s be (-12)\/9*(-1)\/(-6). Are s and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Let n = -130 + 129.4. Is n greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42566816 is divided by 301?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/43*(-128)\/48. Let n = f - -2255\/129. Let p = -199\/486 - -1\/486. What is the common denominator of n and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2216 is divided by 728.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -381 and -6.8.\nAnswer: 2590.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28694968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + w + 24 = -2*w, -4*a = 5*w + 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*p - 81*p - 11 = 0. Solve 20*l - 155 = -p*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2146\/7 or -2\/52457?\nAnswer: -2146\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 748*o**2 + 7*o - 2. Is j(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 54 = u, 0 = -12*q + 11*q - 4*u + 5. Let b(o) = -1 + 2*o**2 + 2 + 7*o + 2. Let a be b(6). Calculate the greatest common divisor of a and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 12, 2*d - o = 0. Let i(t) = -7*t**3 + 6*t**2 - 6*t + 3. Let z be i(d). Let l = z - -82. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-36) + 84\/(-56)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**4 - 6972*p**3 + 2992344*p**2 + 39875248*p + 92506080 = 0?\nAnswer: -10, -3, 878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.78 + -0.22. Let m = f + 6.000025. What is m rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s**3 + 662*s**2 + 4*s + 3. Let o(a) = -109*a**3 - 5297*a**2 - 33*a - 25. Calculate 17*c(b) + 2*o(b).\nAnswer: 3*b**3 + 660*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10319463, -10319437, -10319411, -10319385, -10319359?\n\"Answer: 26*j - 10319489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) -11.25 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28451 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144201861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -76541 - 76536 - 1067*h + 153082 in the form i*h + z and give i.\nAnswer: -1067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 0*c**2 + 0*c**2 + 2*c**2 - 1 + 2*c**2 + 1 + (c + 0 + 0)*(c + c - 3*c) - 1212*c**2 + 61*c + 53*c - 114*c to v*c + z + x*c**2 and give x.\nAnswer: -1209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101442 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13503713.473 from 0.06.\nAnswer: 13503713.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*u - 7*u. Let l(g) = -g**3 - 7*g**2 + 9. Let k be l(u). Suppose 0 = -h + k - 2. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 5. Let n be c(5). Suppose 0 = -4*i + 2*i + 3*t + n, -2*t = -10. Find the first derivative of -d - 1 - i*d**4 + 8*d - 7*d wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 6*f + 68. Let l be t(-11). Let u = 175 + l. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 90*c**2 - 109*c + 1687. Give v(-92).\nAnswer: -5213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-17)*(v\/(v**(8\/3)\/v))\/v*v assuming v is positive.\nAnswer: v**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8139, -14258, -18353, -20424, -20471, -18494?\n\"Answer: 1012*y**2 - 9155*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -785547497 - -12\nAnswer: -785547485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b + b**5 + (-47 + 47 + 7*b**2)*(4*b - 3*b - 2*b)*(6*b**2 - 7*b**2 - 21*b**2).\nAnswer: 155*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/26 - 67704\/(-73008). What is the second biggest value in u, -0.064, -0.5?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 1, d: 1, c: 1, h: 3}. Give prob of picking 1 h, 1 z, 1 f, and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-2))\/(12\/(-24)). Let z(n) be the second derivative of 2*n - 1\/12*n**3 + 0 + 0*n**4 + 1\/20*n**5 + 0*n**6 - 1\/84*n**a + 0*n**2. Factor z(m).\nAnswer: -m*(m - 1)**2*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.02, -1\/6, 0.136?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/6)*o\/(o**5*o))\/(o**(-2\/3))**(3\/16) assuming o is positive.\nAnswer: o**(-97\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 1852*i\/15 + 6928\/5.\nAnswer: 2*(i + 12)*(5*i + 866)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47382.\nAnswer: 2, 3, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9377464 to the nearest integer?\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 35*p**3 + 701. Let k(h) = 5*h. Determine k(r(y)).\nAnswer: 525*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + 78\/9 + -3. Solve y*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32280 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c - 2. Calculate the remainder when v(-10) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 - -15342016?\nAnswer: 15342043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63394 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(2*(-3)\/6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + 4*m**5 - 3*m**5 + (0 + m**4 + 0)*(1 - 2*m - 1) + m**5 - 4*m**5 + m**5 + 3*m**5 + 0*m**5 - 5*m**5.\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - (-14 - -40) - (11 - 0)) + 48?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, o: 1, w: 5}. What is prob of picking 1 w and 3 i?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.083 + -0.143. Let g = d - 2.2. Let p = 7.26 + g. Which is the nearest to 1? (a) p (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -2, 2.54, 0?\nAnswer: 2.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of -6 + (-32604)\/(-13) - 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 3*w**2 - 2*w + 4. Let d = -3 + -1. Let l be s(d). What are the prime factors of (-30)\/l*30\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -86. Put -2.9, n, -1 in ascending order.\nAnswer: -2.9, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trrtrrrrrrtrrr. Give prob of picking 2 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 231577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by (-30804)\/(-476) - (-4)\/14?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 13. Let t(s) = s - 7. Let h = -362 + 368. Determine h*l(n) + 11*t(n).\nAnswer: -7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 184, 367, 550, 733, 916, 1099?\n\"Answer: 183*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 21*v**2 - 17*v - 16. Give a(-22).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33954379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q**(19\/2)*q))*q*q)\/q**(-28)*(q**(-11))**(18\/7))**34 assuming q is positive.\nAnswer: q**(3145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21535 + 7?\nAnswer: 21544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7515102 divided by -3?\nAnswer: -2505034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41604528.4 rounded to the nearest 100000?\nAnswer: 41600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -127. Let h = s - -60. Suppose 2*z + z = -3*k + 6930, -11549 = -h*z - 4*k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h = -25*h + 52258. Calculate the greatest common divisor of 53 and h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 - -78 - (11 - (0 + 4) - 114).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 874070 - 1a?\nAnswer: 874051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36423.5645*2.\nAnswer: -72847.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-11)\/4 + 3). What is the second derivative of -5*i**4 + 10*i**y - 3*i**4 + i**4 + 9*i wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32202054 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12013996 to the power of 1\/2, to the nearest integer?\nAnswer: 3466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*y - 44 = 0, 0 = -2*y - 3 + 11. Let k(x) = -5*x + 10. Let d be k(p). What is the greatest common divisor of 75 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12947 is divided by 4128?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s + 6 - 8 + 16 + s**2. Let o be c(-13). Let k(l) = l**3 + 12*l**2 + 12*l + 11. Let h be k(-11). Solve h = -u + 2 + o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 254 + 268 = a, -6*a - 4*k = -8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 0 - (-296 - -302) - -76\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 2021*j**2 - 30 - 2019*j**2 + 0*j - 729 - 45 as i + g*j**2 + n*j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-3)*1*3\/(-6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 54*x - 43. Calculate s(26).\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyfzjfvyzyjy. What is prob of picking 1 f and 1 j?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 44121?\nAnswer: -44126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + q = 15, 3*h - 2*q = 2*h - 2. Let r(i) = -i + 2. Let s be r(6). Let u = s + h. Solve -2*t - 1 = z, -4*z + u*z + 4 = 4*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:34 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 - 10\/(-3). Let d(s) = -3*s - 3 - s + 2 + s**p - 4*s**2. Suppose -10 = 4*c - 30. Determine d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/3 - 746*h**2\/3 - 63632*h\/3 + 376360 = 0. What is h?\nAnswer: -194, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 849 - 6236.\nAnswer: -5387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 + 5*u + 5. Let n(q) = -3*q**2 + 4*q + 5. Determine 5*n(x) - 4*v(x).\nAnswer: x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 - 204. Factor -1\/5*a - 2\/5*a**l - 1\/5*a**3 + 0.\nAnswer: -a*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + sqrt(48)\/(-2*sqrt(3)))\/((sqrt(88) + (-1*sqrt(88) - sqrt(88)))\/sqrt(11)) + -1)**2.\nAnswer: sqrt(2) + 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4667, 9336, 14005?\nAnswer: 18674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 13 - 50. Calculate the highest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + m = -12*d + 308, -2*d - 42*m + 85*m + 58 = 41*m for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, v: 1, n: 3}. Give prob of sequence vl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 6*u**2 + u + 57. What is h(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/32)\/((-1)\/(-20)). Suppose -2*y - 3*l + 16 - c = 0, -4*y = -4*l + 8. Does -3\/7 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 20 = -5*b, 4*c + 4*b + 16 = -c. Suppose 20*f - 59 = 21. What is the third smallest value in 5, c, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 11. Suppose -5*g - 15 = 0, -4*z - 3*g = -y*g - 39. Does 9 divide 9\/z*(74 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2814, -3622, -4960, -6822, -9202, -12094?\nAnswer: -15492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 329, 472, 775, 1286, 2053, 3124, 4547?\nAnswer: 6370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5633 + 5633. Solve 0 = a - q - 5, d*a = -a + 3*q + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q + 1. Let h(l) = 15. Let x(r) = -41. Let s(g) = 11*h(g) + 4*x(g). What is p(z) - 3*s(z)?\nAnswer: -10*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48813\/689 - (-11 + (-141)\/(-13))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 18. Let c(a) be the third derivative of 0 + 0*a**4 + 2*a**2 + 0*a + s*a**3 - 1\/20*a**5. Let n(q) = 2*q**2. Give c(n(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 9*q - 2. Let d be (63\/49 - 1) + q\/(-56). Which is the third smallest value? (a) d (b) 0.1 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/178963 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-4)*(4 - 2). Let q = 5 - 1. Suppose z = -q*t + 63. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/344900 and 51\/1225?\nAnswer: 16900100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 15) to base 10.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d**2 - 29*d - 2. Let x(l) = -l**2 - 9*l - 1. Let u(v) = o(v) - 3*x(v). Determine u(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19412 is divided by 3173.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y - 33*y + 24 = -3*w, -15 = 5*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 6*v - 5*v)*(-5 + 3*v**2 + 5) + (26*v + 2*v + 14*v)*(v**2 + 2*v**2 - 2*v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 142?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.04, 18, -1, 0.21, -4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.888 - 0.112. Which is the closest to 0.1? (a) -3 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.93734259 to 3 decimal places.\nAnswer: 13.937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 828*p**2 + 11*p + 11. Let g be v(-1). Let k(j) = -272*j**2 - 3*j + 2 + g*j**2 - 274*j**2 + j**3 - 279*j**2. Give k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10229 - 10233. Which is the fifth smallest value? (a) 5 (b) 0.3 (c) t (d) -1 (e) 2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + sqrt(1872) + 4 + 1)**2 + (-3*(sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 1*sqrt(1053) + sqrt(1053)))))**2.\nAnswer: 240*sqrt(13) + 16990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*o*o**(-2\/33))\/(o\/(o\/(o**3*o))*o*o*o**(-1\/3)\/o*o) assuming o is positive.\nAnswer: o**(-93\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 6*l = 3*l - 14, 2*l = 5*h + 24. Let v(b) = -b**3 - 4*b**2 - 4*b - 13. Let j be v(-4). Sort j, 4, h.\nAnswer: h, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3 - 1. Let n be ((-1)\/((-9)\/(-39)))\/((-4)\/12). Solve 3*s = 5*j - n, 2*s - 11 = -q*s + j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329748 to the power of 1\/2, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - i**3 - 2*i + 4 - 3*i**4 + 2*i**2 - 2*i**3 + 2 to the form f*i + o*i**3 + j*i**2 + k*i**4 + r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 8*u - 28 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3) - sqrt(3))*6 + -2 + -2 + sqrt(3) + 1)**2.\nAnswer: -42*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*3\/(-6) + 6. Suppose -2*w + 28 = 3*q, -4*w = -q - 156 + 184. Let m be 4\/r + (28\/q - 0). Solve -4 = -j + m*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1979048 divided by -4\nAnswer: -494762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 - -601. Which is smaller: 430 or m?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k**2 + k - 5. Let c be g(6). Let h be (-1)\/((-2)\/(-6)*c). Let r be (h - 5)*(-2)\/4. Solve 0 = -2*l - f + 6, l + 5*f - 25 = -r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2701*o**2 + o + 1. Let b be l(-3). Let d = b - 35307. What is d rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.06 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 2*r + 16. Let k be i(0). Is 16 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3 (c) 1.2 (d) -6 (e) -0.1 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 26*u**2 + 5. Let i(k) = -k**2 + 1. Let r = -6451 - -6446. Calculate r*i(h) + o(h).\nAnswer: 31*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -8 + 53. Let c be j\/(-6)*(-4)\/(-5). Let f(m) = m**2 - m + 6. Let o be f(c). What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.174728 to four dps.\nAnswer: -0.1747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:17 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.7361 + 17.66. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - m + 5, -s + 1687*m + 10 = 1689*m. Solve s = -778*t + 773*t - 35 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6*(-1 + 50\/(-4)). Let s be ((-1)\/(4\/j))\/((-6)\/(-24)). Solve s*b = 7*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 152*d + 161*d + 8.\nAnswer: 313*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-11)\/(-110))*1*2\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3220992 divided by 768?\nAnswer: -4194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 15. Suppose c = -y + 46. Let s = y + -4. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -430*o**3 - 16*o + 5*o**4 + o**2 - 9*o**4 + 0*o**2 + 431*o**3 - 20*o to the form n*o + i*o**2 + a + q*o**3 + z*o**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*q = -4*t + 5*q + 75, 7840 = -t + 6*q + 7898 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 - 81 = -2*i, i = -4*a + 39. Solve -1 - i = 9*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -1, 1857, 6, -22 in descending order.\nAnswer: 1857, 9, 6, 3, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -655 - -1257\/2. Calculate the common denominator of k and 498\/297 - 8\/36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) -2\/7 (c) 420\/13 (d) -4\/5 (e) 1\/3 (f) 15 (g) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34*(-99)\/8415*(-215)\/1?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-9)*12\/(-8) + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156, 322, 472, 600, 700, 766, 792?\n\"Answer: -i**3 - 2*i**2 + 179*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/5 + 2168*l**2\/5 - 2148*l.\nAnswer: -4*l*(l - 537)*(l - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -63*v**3 - v**2 + v + 3. Let m be c(-1). Is (-1)\/(4\/(-3)) + 66320\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104\/3935 - -109052\/7189245. Find the common denominator of h and 119\/174.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.951874 plus 39952?\nAnswer: 39952.951874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1105595941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 201073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 219?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 4, -1\/2, 2, -231174\/5, -2 in ascending order.\nAnswer: -231174\/5, -2, -1\/2, 2\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1340 = -2*a - 338, -630 = -2*s + 5*a. What is the second biggest value in -4\/9, 3, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = l - 2*q + 29, 4*q + 23 = 49106*l - 49107*l for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -434a094?\nAnswer: 434a099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = 1. Let j be (-1 - -4)*(a + 4). Suppose 2*m - 465 = -j*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*w + 48. Calculate the least common multiple of w and (-7)\/(112\/(-236)) - (-6)\/(-8).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(176) - (0 + sqrt(1331)) - 1*(sqrt(11) + 0 + 5).\nAnswer: -16*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100437900?\nAnswer: 2, 3, 5, 334793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41006 + -41012. What is the third smallest value in -24, -0.009, o?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1429*t*z**2 + 3*t*z - 53740*t + 36483205*z**2 + 11 wrt t.\nAnswer: 1429*z**2 + 3*z - 53740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by -8317?\nAnswer: 71\/8317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -9*k - 130. Determine s(1).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0 + 17*h + 7\/12*h**4 - 4\/3*h**3 - 13\/2*h**2. Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 + 134. Find the first derivative of 5 + 2*i**2 + 21 + 5*i + 6*i**2 - 2*i**j wrt i.\nAnswer: 12*i + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40212 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 153771 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228186?\nAnswer: 2, 3, 7, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12063 in 4, 2\/19, -0.5, 2, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-39) - (21612\/(-39) - -5). Let v = 1243 - p. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05242072 times -0.007?\nAnswer: 0.00036694504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*s - 543*s + 247*s - 1 + 1.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -5 (b) -4 (c) 3\/7 (d) 7 (e) -0.3 (f) -108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*q - 5024 = -155*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1157 + 6943\/6. Let c(p) be the second derivative of 0 - 11\/2*p**2 + 4*p - s*p**3. Calculate c(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y\/(y**(5\/6)*y))**(-1\/39)*((y*y**(-5)*y)\/y**(-2\/15))\/(y**(1\/3)\/y**(-4)) assuming y is positive.\nAnswer: y**(-8429\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2655 + 74.5865. Let m = h - 75. What is m rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 267421604?\nAnswer: 267421603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -61334*j**2 + 5*j - 9. Let l be o(3). Round l to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 29\/217052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249499286.999847 + -249499088. Let t = a - 199. Round t to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aak when three letters picked without replacement from aakwa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -323*z + 324*z + 8, 0 = 4*k + 12. Solve -8*b = -5*b - 3*f - 9, -z*f = 3*b + 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545005326.\nAnswer: 2, 3, 47, 131, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 1\/2, 0, -20714?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43690\/169, 67, 5.\nAnswer: 5, 67, 43690\/169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10722, 10710, 10698, 10686, 10674, 10662?\nAnswer: 10650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c. Let q(b) = -b**2 + 5. Let y be q(0). Let s(g) = y*g - g - 2*g. Determine s(f(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 8 = -r + 4*z, -4*r - 3*z = -5. Let l(v) = v**3 - 3*v**2 + v + 3. Let m be l(3). Suppose -m*i = -r*i - 7. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5, 4.3, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11997*j**4 - 712*j - 7 wrt j?\nAnswer: 143964*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2548\/78*(-3)\/2. What is the remainder when (-6503)\/d + ((-36)\/21 - -2) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 165 = -m - 27*w, -405 = -2*m + 5*w. What is the second derivative of 34*v**2 - 191*v - 24 - m*v - 3 + 383*v wrt v?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.62*-5606\nAnswer: 48323.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689868877?\nAnswer: 23, 4651, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -17\/2, 2\/51, -3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 227329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -625648337 + -0.2.\nAnswer: -625648337.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r - 54*r = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*h**3 - 222*h**3 - 5*h**2 + h**4 + 410*h**3 in the form w*h**3 + t*h + l*h**2 + s + o*h**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*y + 19 = 0, -2*g = 2*g + 2*y - 130. Let s be (2 + (-10)\/4)*(-30 + g). Is s greater than or equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 99?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 32*b**2 - 22*b - 22. Suppose 0 = 3*w - 5*a - 26, 0*a = 2*w - 2*a - 12. Let t(f) = f**2 - f - 1. Give w*r(z) - 44*t(z).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -3. Suppose m + x = 0, 0*m = -4*t - 3*m + 173. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136 is divided by 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qubbkuh. Give prob of picking 1 k and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262490 is divided by 1500.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -14.7. Put 7, k, 0.2, -1\/2 in ascending order.\nAnswer: -1\/2, 0.2, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2987\/2 greater than or equal to -1495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x + 68. Let t be w(13). Suppose 2*j = 4*o - o - 17999, -j = -t*o + 17998. Round o to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 2964*r**2 + 11908*r - 8940.\nAnswer: -4*(r - 3)*(r - 1)*(r + 745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 3*a**3 - 2*a**3 - a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/438*18\/(-8)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 5. Let u be m(7). Solve 0*r + 4 = u*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = -8*x + 13440. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + -6*(5 + sqrt(15)\/sqrt(3) + (sqrt(10) + sqrt(160))\/sqrt(2) + -4))**2.\nAnswer: 648*sqrt(5) + 6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 2*k + 0*k + (2*k + 5*k - 4*k)*(3 - 3 + 2))*(-63 - 39*k + 63) to g + x*k + a*k**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.25 - -0.75. Let d = -18.5 + p. Sort 3\/8, -0.1, d in decreasing order.\nAnswer: d, 3\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4301 and 1903066?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.2494 - -8.76577. Let v = z - -0.486. Round v to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(304)*-6 + sqrt(19) + (sqrt(190)*-1)\/sqrt(10).\nAnswer: -24*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, d: 5}. Give prob of picking 2 m.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4)\/(z\/(z*z**(-28)\/z)*z))\/(z*z**(1\/5))**(-9\/14))**(-3\/13) assuming z is positive.\nAnswer: z**(12171\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35004*u**4\/5 + 21003*u**3 - 350031*u**2\/5 - 840126*u\/5 - 72\/5 = 0 for u.\nAnswer: -4, -2, -1\/11668, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-5)*k))\/k)**(-3\/35))**33\/(((k**(-2\/3)\/k)\/k*k**(-9)*k)\/(k\/k**(-4\/3)*k*k\/(k*k*k\/(k*k**(-7))))) assuming k is positive.\nAnswer: k**(-186\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 + 4*y**2 - 4*y - 18. Calculate q(-4).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 736\/6*(-3)\/2. Let j = -180 - k. Solve 2*a - j*q + q = -1, -5*q - 1 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -239 - -242. Put q, -4, -3, 2 in descending order.\nAnswer: q, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49671 is divided by 180?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/2 - 11*q**4\/2 + 27*q**3\/2 + 11*q**2\/2 - 13*q = 0.\nAnswer: -13, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 45\/10)\/((-16)\/(7616\/(-85))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.558 + -3.568. Let q = 0.01 + f. Put q, 0.1, 3 in decreasing order.\nAnswer: 3, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -24.5. Which is the third biggest value? (a) 5 (b) f (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 3*v + 2808 = 0. Let f = -120 - v. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 23 + 147 = 0. Round u to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 517474.\nAnswer: 517474.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3794250230534 and 6?\nAnswer: 3794250230540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 11 + 4)*(0*h - 5*h - 2*h).\nAnswer: 56*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.74 + -0.64. What is the second smallest value in 4\/9, 1\/2, p?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36228 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -467276365?\nAnswer: -467276365.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -662990 divided by 5?\nAnswer: -132598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3851*b*t**2 - b*t + 324715584*b + 3*t**2 + 521*t + 2 wrt t.\nAnswer: 7702*b*t - b + 6*t + 521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from {e: 1, k: 1, i: 1, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3 + 4 - u + 7. Suppose 0 = 2*c - 6*c. What is the tens digit of n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(108)\/sqrt(441)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bb40 (base 14) to base 7.\nAnswer: 413310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.396 - -0.046. Let d = 1.35 + m. Put -55, d, 4\/9 in decreasing order.\nAnswer: 4\/9, d, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 124a?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 12. What is the third derivative of m*y**5 + 0*y**2 - 5*y**5 - y**2 wrt y?\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 4, c: 2, u: 2}. Give prob of picking 2 u, 1 a, and 1 c.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9699 * -0.1116.\nAnswer: -0.44304084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 3:22 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1232255539 - 101\nAnswer: -1232255640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paubbbp. Give prob of sequence pa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 12 - 12)*(0 + 3 + 9).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 divided by -7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 8 + 4. What are the prime factors of 1 + k - 6*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -462 + 777. Let g = -312 + m. Put g, 2, -105 in ascending order.\nAnswer: -105, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50741, -50484, -50225, -49964, -49701?\n\"Answer: r**2 + 254*r - 50996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -469cd?\nAnswer: -469cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 7*p. Suppose 5*o + 5*a - 45 = p, -5*a + 20 = 2*o + 2. Solve 3*r - 1 = 11, -o = -z - 2*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -202920\/523 smaller than -389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 392, -2\/17, -34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -25 + -1 + (28 - 71 - -13) + 19.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l**2 + 10*l + 9. Let d(v) = -v**2 - v - 1. Let n(g) = 5*d(g) + t(g). Let q be n(-3). Let c = -10 + q. What is the highest common factor of c and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8730.82cm?\nAnswer: 87308.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + (-8 - -16 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 5. Suppose 2*p = 5*b - 40, 0 = -4*p + c*p + 5. What is the smallest common multiple of b and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1333726314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-18)*2*0. What is the third smallest value in -5, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89664022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.2874 take away -0.6?\nAnswer: 31.8874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3021 (base 7) to base 3\nAnswer: 1102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593145913?\nAnswer: 1593145913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -110020110112200 (base 3) to base 9\nAnswer: -13213480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*p = 4*p - 294, -3*p - 494 = -5*w. Suppose -w*z = -98*z - 630. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24680 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsqssrsqyvsssvvsvr. What is prob of sequence rr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3311122200 + -10?\nAnswer: -3311122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178425165 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 64. Suppose f = -6*s + 5 + 7. Let w = 4571\/17 + -269. Is s at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91*546\/(-507) + 9 + -13 + 6\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*w = 136*w + 303 + 1533 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 3:41 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/6945 and -125\/18.\nAnswer: 41670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2015717.3 to the nearest ten thousand.\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - w**2 - 9*w + 5. Let a(z) = 2*z - 50. Let n be a(30). What are the prime factors of b(n)?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -719508*j**5*m + 4*j**3*m - j*m + 3383*m wrt j?\nAnswer: -14390160*j**3*m + 24*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -13*v - 180. Let t = 82 + v. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1426, -2861, -4304, -5761, -7238, -8741, -10276?\n\"Answer: -m**3 + 2*m**2 - 1434*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18 and 1.3561.\nAnswer: 1.1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*t - 1163 - 10536 = 6913 for t.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Suppose k*z = 4*h - 20, -2*h = h - 4*z - 20. Find the second derivative of -2*d + h*d**3 + 0*d - d**3 wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7 - 1 + 30*i - 6. Let o(l) = 2*l**2. What is t(o(x))?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j + j)*(1415 + 2783 - 121 + 218 - 132 + 936).\nAnswer: 20396*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(19)*1 - sqrt(19))**2 - (1*sqrt(2736))**2) + (3 + (sqrt(2736) - -4*sqrt(2736)))**2 + -1 + 5.\nAnswer: 360*sqrt(19) + 65681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myym when four letters picked without replacement from {y: 7, m: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*5*(-14)\/(-1925).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10647002 = t - 59*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 12980*p**2 + 91045*p - 156180.\nAnswer: -5*(p - 4)*(p - 3)*(p + 2603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 336590.5us?\nAnswer: 336.5905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 3:30 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 + t - 2. Let z be h(-2). Let j = 5 - 15. Let q = j + 34. What is the highest common factor of q and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 + p**2)*(0*p + 2*p - p) - 2*p**3 + p**3 + 4*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 4*j + j - j + j - j - 3*j + 2*j - j + (-1 - 3 + 3)*(0 + 0 + j))*(-1 - 1 + 10*j**2 + 207*j - 214*j) as g*j**3 + z + v*j + r*j**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 18*a**3 - 30*a**3 - 5*a**3 to w*a**2 + o*a + i + j*a**3 and give j.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 576909362*o**2*u - 107*o - 1801782*u wrt o?\nAnswer: 1153818724*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 55*b**4 - 195*b**3 + 895*b**2 - 650*b = 0 for b.\nAnswer: -5, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j - 23*j - 28*j to the form p*j + g and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133514998*t - 198389302 wrt t.\nAnswer: -133514998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8571 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(9\/(-6) - (6 - 8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112078*v + 1178*v**2 + 56040*v + 56038*v.\nAnswer: 1178*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 69\/2 of a week?\nAnswer: 5796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9*l + 16 = 0. Calculate the greatest common divisor of l and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001222 (base 3) in base 10?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-9) - 6\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -32*a + 3. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 487220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:11 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 538359 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/2 - (5 - 2). Suppose -9 = -4*z + 3, -y*a = -3*z. Suppose -k + a + 4 = 0. Calculate the least common multiple of 3 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3822)\/91*1\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 = -1125*w + 3078 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4412 - -4424. Solve 5*m - b - x = 0, -6*m + 5*b + 7 = 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479061106 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 4*a - 3*w, 5*w - 1 = -4*a + 15 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(3*g - g - g)*(2*g + g - g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55068 and 444.\nAnswer: 2037516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c**3 + 4*c**2 + 4. What is the smallest common multiple of f(3) and 64?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-4))\/((27\/(-384))\/(-9)). Let g = -148 - t. Let -g*h**2 - 18 - 2\/9*h**4 + 24*h + 8\/3*h**3 = 0. Calculate h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - m**2)*(4 + 0 - 1) - 2703*m + 69 + 1349*m + 1353*m + 9*m**2 to b + d*m**2 + l*m and give b.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*y - 99*y + 18 = -3*w, w - 5*y = 1 - 7 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249842 and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g = 2. Let u = 5\/3 + -28\/15. Is u at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*c + 9 = 27, 0 = 4*h + 5*c - 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/4 - 3*t**2\/2 - 4*t. Let m(d) = -d**3 - 5*d**2 - 5. Give -3*m(s) + 5*o(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -44*c**2 + 4*c + 12. Let p(k) = -45*k**2 + 3*k + 14. Calculate -6*l(j) + 5*p(j).\nAnswer: 39*j**2 - 9*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 7:21 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-8)*19960\/2994?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from {v: 6, b: 1, o: 4, e: 1, g: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -10 - 6 - 616\/(22\/1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c + 100. Let r = -39 - c. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9730663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + sqrt(1216))**2 - sqrt(1216))*1 - (-3 + ((-1*(sqrt(152) + (sqrt(152) - sqrt(152)*1)))\/sqrt(8))**2).\nAnswer: -6116 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlvg when four letters picked without replacement from {g: 1, o: 4, e: 9, v: 2, l: 1}.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 398098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 4:45 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (1 - -12)) + -39 + (-4 - -15).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 1 g when three letters picked without replacement from gewwff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193333106*v**3 + 203834233*v**2 wrt v?\nAnswer: 1159998636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 15265*f - 30931. Give b(2).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11306 + -3?\nAnswer: -11312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138654961*p**3 - 7498*p**2 + 6456 wrt p.\nAnswer: -831929766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3753258 to the power of 1\/2, to the nearest integer?\nAnswer: 1937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.58 and 2136.\nAnswer: 2139.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 642*u**2 + 12472*u**3 + 293*u - 640*u**2 - 301 + 305 + 118*u wrt u?\nAnswer: 74832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4118453*b**3 - 56759406*b**2 wrt b?\nAnswer: -24710718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x. Let b be s(5). Let y be b\/22 - (-1)\/2. Let v(a) = -1 + a**2 + 0*a**2 + 4*a - 2*a - a**y + 2*a**2. Determine v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.36117175 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 21, 2\/5, -2, -0.07?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 92730920 to the nearest 1000000.\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3\/7 + 261*s**2\/7 + 249132*s\/7 + 10810460\/7 = 0.\nAnswer: -355, -46, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 565212 and 17217876.\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114363251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 - 86*n - 32. What is p(-22)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 493 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1065)\/40)\/((-70752)\/(-128)) and -59\/268.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32415135 to the power of 1\/2, to the nearest integer?\nAnswer: 5693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38478 or -6656809\/173?\nAnswer: -38478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 v, and 1 w when three letters picked without replacement from {w: 2, v: 3, n: 3, k: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21212022112 + -1211?\nAnswer: -21212101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.4 + 12. Let m = t + 1. Let y = -90570 + 90564. Which is the closest to -1\/3? (a) y (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80447 - 80451. Let x be (-24)\/(-10) - (-2)\/(-5). Do f and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -100, 10 in descending order.\nAnswer: 10, -8, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/7 + 2*a**3\/7 + 31*a**2\/7 + 4*a.\nAnswer: -a*(a - 7)*(a + 1)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/25, 5, -1\/6 in decreasing order.\nAnswer: 5, -2\/25, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 16 = -18*p - 40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = 4*f + 13 + 61, x - 3*x + 95 = 2*x - 3*x - 6*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 337238?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 469*j**2*o - 723*j**2*p - 8*j**2 - 3*j*o**2 - o**2*p + o wrt p?\nAnswer: -723*j**2 - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 858*k**2*m - 121109886*k**2 - 37916*k*m wrt m?\nAnswer: 858*k**2 - 37916*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (2 - 1) + -6. Let z = -0.049 - -48.049. Let g = 49 - z. What is the closest to 0.2 in g, u, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 3 - (13 + 8 + -15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 18*z**3 + 33*z**3 + 0*z - 23*z**3 - 2*z to c*z**3 + f + p*z + x*z**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 1, -3, 14450 in decreasing order.\nAnswer: 14450, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*f + 516 = -l, 5*l - 1290 = -2*f. List the prime factors of l.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1846*s + 267667. Determine m(-145).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -22. Let d = s + 22.000039. What is d rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 570, 2352, 5344, 9564, 15030, 21760, 29772?\n\"Answer: 3*q**3 + 587*q**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 17 = 4. Let i = k + 14. Let q(l) = l - 5. Let s be q(i). Solve -5*a - 4*r = 6, a + s*r + 6 = -0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -653 - -1522. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4) + (1 - -2) - (-225 - -243 - 28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1221757*f**3*r*u + f**3*r + 90189*f**3 wrt u.\nAnswer: 1221757*f**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*x - x - 4 = 0, -m = -x - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) + sqrt(10)\/sqrt(2))*-3)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1429318 divided by 2?\nAnswer: -714659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 299.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2. Let o be n(-1). Let d be ((-15)\/(-25))\/(2\/10). Suppose 4*z = d*z - 3. Is z < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*a - 6*a = 18, -5*v + 30 = -4*a. What is the least common multiple of 9 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**5\/4 + m**3\/6 + 8*m. What is the second derivative of l(s) wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 59267877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 38344*g - 153440.\nAnswer: 4*(g - 4)*(g + 9590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8138 and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/468 and -79\/78?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 22 = 2*u, -2*u = -3*u + k + 4. Let a be (-2)\/(-8) + (-165)\/(-44) + -2. Find the third derivative of -3*l**6 - 2*l**2 + 0*l**a + 5*l**u wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4704, 9531, 14344, 19143, 23928, 28699, 33456?\n\"Answer: -7*t**2 + 4848*t - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 402 + -276. Suppose 12*p = 8*p + 96. Suppose -6*d + p = 2*t - 5*d, 0 = 5*t + 2*d - 62. What is the highest common factor of t and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3090 is divided by 304?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -31*t + 35*t. Let c(s) = -s**2 - 7*s - 10. Let q be c(t). Sort 3, 5, q in increasing order.\nAnswer: q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 18, -3\/4, -2\/11, 2\/7, -6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:40 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4, 4330, 5\/4, -0.07 in descending order.\nAnswer: 4330, 5\/4, 1\/4, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 476 = 6*m. Suppose w - 2*w = -4*p - m, 5*w - 4*p - 579 = 0. Suppose -57 = -2*l + 2*x + 23, 2*x = 3*l - w. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -3\/4*y**2 + 5\/6*y**3 - 1\/8*y**4 - 9\/2*y - 20. Suppose i(h) = 0. Calculate h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 2837600.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43635*p**6 + 182*p**4 - 7*p**3 - 1676*p**2 + 9509*p?\nAnswer: -5236200*p**3 + 4368*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*c - 9 = 0, x + 6 = 2*c - 0*c. Suppose x = -y + 4*i + 78, -5*i + 14 = -1. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 950 or -1032?\nAnswer: -1032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6.4. Let j = 13658.60045 + -13659. Let a = p + j. What is a rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72136 is divided by 4802?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnmnyhml. What is prob of sequence nm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(0 - -1)*-1. Let i(r) = -4*r + 4 + c + 2*r + 4*r. Let k(h) = 5*h + 9. Give 7*i(b) - 3*k(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -78 + -2?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.4812778 weeks?\nAnswer: 80.8546704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g = -25*g - 24. Solve 15 = -g*v - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -48\/5*f - 84\/5 - 3\/5*f**2 = 0. Calculate f.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58561850 to the power of 1\/2, to the nearest integer?\nAnswer: 7653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01338 + -27.5161.\nAnswer: -27.52948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 27734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 7*k - 12. What is v(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.045, -107, 55.7 in increasing order.\nAnswer: -107, -0.045, 55.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*h + 11, 0 = 3*h - 2*h + 3. Suppose -d*z = -4*z + 10. Find the third derivative of 0*s**3 + 11*s**4 + 5*s**3 - z*s**3 + 6*s**2 wrt s.\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/6 + 3*h**2\/2 - 12*h. Suppose 2*f - 4 = 0, 6*x - 3*f = x + 74. Suppose 2*z + 2*z = x. Calculate l(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - 0. Let b = -4.65 - 0.35. What is the third biggest value in v, b, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 18. Let a = z + 12. Solve -8 + a = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1240 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30, 108, 240, 426, 666?\n\"Answer: 27*h**2 - 3*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2035, 4167, 6341, 8497, 10575, 12515?\nAnswer: 14257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -505, -540, -577, -616?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*f*w - a**2*f - 29*a**2*w + 3*a**2 - 7*a*k - 4*f*k*w + 168*f + 2*k*w wrt w?\nAnswer: a**2*f - 29*a**2 - 4*f*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let k(q) = 5*q - 6*q + 6*q - 3*q + 12. What is v(k(p))?\nAnswer: -4*p**2 - 48*p - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3930 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: Let a(t) = 3*t**2 + 8*t + 4. Suppose 3*o + 4 = -11. Let z be a(o). Let w = -17 + z. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let d(o) = o + 2. Let h be (-18 - -2 - -6)*-25. Let y = 248 - h. What is y*d(l) - 2*x(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w**2 + 3 + 21*w - 5 - 10*w + w**3 + 10. What is the units digit of z(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*t**2 - 51*t**2 + 43*t + 27*t as g*t + v*t**2 + l and give g.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44316.8576 rounded to the nearest integer?\nAnswer: -44317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -8. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 7*x**2 - 3*x + 57. Let a be u(6). Solve -a*o - r + 9 = 0, -o - 5*r = -8*r + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 246729?\nAnswer: -493458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-126)\/10 - (-4)\/(-10). Let k(r) = -r**3 - 13*r**2 + r + 16. Let s be k(b). Let w = 5235 - 5223. Solve 0*z + z - w = -4*x, 4*z = s*x - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-296 + 488 + 697)*((2 - 2 + g)*(-g**3 + 2*g**3 + g**3) + 2*g**4 + g**4 + 0*g**4 + (7*g**2 - 3*g**2 - 2*g**2)*(-g + g + 2*g**2) - 4*g - g**4 + 4*g).\nAnswer: 7112*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g + 4 - 8 + 2. Let t(n) = -2*n + 2. Give -3*s(h) - 4*t(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 5*o**2 + 8*o + 7. Let l be z(5). Let f(q) = 22 - l - 16*q**2 + 25. Let n(t) = 3*t. Determine n(f(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -430829 divided by 9\nAnswer: -430829\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-3\/5)\/(o**(1\/3)\/o**4) assuming o is positive.\nAnswer: o**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180232099 and 461.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 9. Let u = -46 - -48. Solve u*d + 13 = -3*r, -d - 17 = 3*d + x*r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144991*h + 289911*h - 144916*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Let y = d - -1. Let i be y\/3 + 6\/2. Solve i*b - 2*b = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2620*v**5 - 4*v**4 + 11*v**3 - 12053*v + 29?\nAnswer: 52400*v**3 - 48*v**2 + 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -23*f**2 + 233*f + 6928. Determine q(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f + 222*f = 355509. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-6))\/((-2)\/(-6)). Suppose -u - 1 = 3*n - 8*n, -5*n + m*u = 15. Calculate the least common multiple of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2546 + -2518. Which is smaller: -0.12 or l?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5474045 * 0.4\nAnswer: 2189618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, -13, -26, -37, -46, -53, -58?\n\"Answer: f**2 - 18*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.5. Let a = -13\/10 - -9\/10. Put a, -2\/7, m in descending order.\nAnswer: -2\/7, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1)\/2 - 6\/45. What is the closest to o in 0, -2\/5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2613963331.\nAnswer: 7, 373423333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 10*u**3 + 19)*(2*u**2 + u**2 - u**2).\nAnswer: -20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 1756\/(-8) + 3)\/7. Let t = i - 134\/7. What is the common denominator of t and -95\/254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from mqkkhkkkqqkqhmmhtkk.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let i(p) be the third derivative of 95*p**4\/24 + 3*p**2 - 2. Calculate i(y(d)).\nAnswer: -95*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55737*t**3 + 27855*t**3 + 27877*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(4 + 3*sqrt(320) - sqrt(320))**2.\nAnswer: -2592 - 256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1 + 3) - (20 + (-1232)\/64)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-345)*520\/(-48)?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d5329 (base 16) in base 9?\nAnswer: 1570785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*p = 9, -4*p = 187*y - 185*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*w + 499 + 5441. Which is the biggest value? (a) 4 (b) 3\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -25*f - 314. Give d(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 6. Let a = 2 + f. Solve 0 = a*b + 2 + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -19*l + 1. Let f(n) = -32*n - 1. Let x(w) = -5*d(w) + 3*f(w). Give x(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 - 113 + 74)*(-3 + 3 - 2*y).\nAnswer: 210*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135297009.\nAnswer: 3, 163, 92227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 322134495 and 0.02.\nAnswer: 322134495.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, 1 u, and 1 d when four letters picked without replacement from {b: 1, d: 2, u: 1, l: 1, h: 1, j: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-1)\/(-16)*22. Let z = 5.937 - 6. Let g = 0.003 + z. Put -5, 0.5, g, w in increasing order.\nAnswer: -5, w, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 27890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 8:42 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 91*x - 428. Calculate the smallest common multiple of 207 and p(5).\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 1. Let m be l(-2). Let c = -8.806 - -6.806. What is the third biggest value in -10, m, c?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -99. Let x(h) be the third derivative of -h**4\/12 + h**3 - 5*h**2. Let y be x(-8). Calculate the greatest common factor of w and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-982)\/4)\/((-14)\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - n = -4, -b + n = -5*b + 10. Solve 6*q = b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 18*i**2 - 12*i - 82. Let w be d(17). Sort 4, -5, -2\/7, w in ascending order.\nAnswer: -5, -2\/7, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 + w. Let m(c) = 2*c - 3. What is -m(z) + 2*o(z)?\nAnswer: -2*z**3 - 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 315 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 - -123. Let w = -1032 + 3056\/3. Calculate the common denominator of w and 5\/b*(-402)\/(-120).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 17 + 7. Let y be 0\/(-1) + (a - 5). Let t(c) = 2*c**3 - 8*c**2 + 6*c. Let q(k) = k**2 - k. What is y*t(h) + 8*q(h)?\nAnswer: 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*p**3 - 5 - 9*p + 5 + 9*p - 10*p.\nAnswer: -134*p**3 - 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/8 + 516*b + 929538.\nAnswer: -(b - 5484)*(b + 1356)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*c - 2*j + 308, -j = -c + 68. Let z = -49 - -20. Let o = c + z. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**0*b)\/b)**41\/(b**3*b*b*b*b\/(b\/b**(2\/3)*b)))\/((b**7\/(b**(2\/13)*b))\/(b**2\/b*((b**(-1)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(1033\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*d + 8*d**5 - 47*d + ((3*d - d - d)*(2*d**2 + d**2 - 5*d**2) + 4*d**3 + d**3 + 4*d**3)*(-d - d**2 + d).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-235 - 238 + 6008*c + 713 - 242)*(-c + 4*c + 6*c) to a*c + z + h*c**2 and give h.\nAnswer: 54072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 73742640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 197*t + 180*t - 396*t + 591*t + 543*t as p + b*t and give b.\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -60?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 31976\/288 + 3\/(-12). Let l = -111 + i. Is l smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 43. Calculate the remainder when f is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/15781122 and -56\/49797.\nAnswer: 173592342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 515, 1171, 2087, 3263, 4699?\nAnswer: 6395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19 - 1)\/((-6)\/(-4)). Let a = u - 3. What is the least common multiple of a and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17045?\nAnswer: 5, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 6596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f. Let b(p) = 4*p**3 + 2*p**2 + 8*p - 2. What is -b(u) - 6*w(u)?\nAnswer: 2*u**3 - 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -1316350142?\nAnswer: 1316350145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 10*v**2 - 2*v + 459. Let g be o(0). Calculate the highest common factor of 27 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*l - 3*n + 2, 2*n + 5 = 5*l. Let y be 3\/2*8\/(-366). Let d = y - 45\/488. Which is bigger: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 3. Let f = -16 - g. Suppose -2*v = f*d - 37, -5*v - d + 6*d + 145 = 0. What is the remainder when 103 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12896.4525+-4\nAnswer: 12892.4525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 66\/(-62) + (-86)\/(-26660)*20 - 53\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*l + 3*l - 74, -3*v - 4*v - 50*l = 13*v + 380 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 31*j**3 - j**2 + 5*j + 5. Let s be h(-2). Let d = s - -264. Suppose -3*b - 22 + 64 = 0. What is the highest common factor of b and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 7:50 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1240\/150 + -11 + (-2)\/(-5)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11942, -11914, -11886, -11858, -11830, -11802?\nAnswer: -11774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4459 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -346 at least 42.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 6*s**2 - 2*s - 8. Let u be (0 - 4)\/(4\/6). Let w be i(u). Find the third derivative of 0*c**5 - c**5 + w*c**2 + 4*c**5 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 313708.\nAnswer: 941124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 6*d**2 + 5*d + 2. Let w be r(5). Let y(h) = 185*h**w - 3*h - 186*h**2 - 4 - 4*h. Determine y(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 4 + -3 + 15. Let z = 20 - m. Let v = z + -3. Solve l + 25 = o - 3*l, l - 5 = -v*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 522 - 520. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 + 6 = 0. Solve -a = -c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/92 in 2, 0, -0.2, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2 - (-20)\/8)*-8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -2 + 0*z**2 + z + 1\/15*z**3 - 1\/30*z**4. Let b(o) be the first derivative of l(o). Suppose b(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*g - 2. Which is bigger: -7\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -9. Let m = 5\/296 + 4\/37. What is the closest to j in 2\/13, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 6. What is c(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/20 - 3*x**4\/4 - 3*x**3 - 35*x**2\/2 - 2*x. Does 11 divide r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 3570.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 55. Let z(l) = 4262*l. Give r(z(v)).\nAnswer: -8524*v - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 171, 0, -3 in decreasing order.\nAnswer: 171, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -8\/9 (b) -5 (c) -2 (d) 0 (e) 241\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -28. Suppose 2*w = -a*i + 6, 3*w + w + 16 = 3*i. Suppose 0 = 2*c - i, -f + 4*c + 3 = 11. Solve -2*n + g - 13 = f, -3*n + 0*n - 2*g - 2 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 + 39*p**3 + 0*p**4 - 4*p**4 + 16*p - 26*p**3 - p**4 to c*p**3 + n + j*p**4 + r*p**2 + x*p and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by (-20)\/(-3) - (-1)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/(-18))\/1*6\/(-5). Solve h*j - 2*s = 6*j - 18, -7 = -2*j + s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12 and -0.511?\nAnswer: 11.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32 - 1 - (-2 + 2). Let t = c - 92\/3. Let j = 0.056 + 3.944. Put j, t, -2 in ascending order.\nAnswer: -2, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -582889.7 to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*j = 4*g - 22, -4*g + 15 = -5*j. Suppose p - g*p = 0. Suppose -18 = -p*c - 3*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*t + 6*t - 4, 0 = 5*o - t + 1. Solve o = 4*g - 2*g, -q - g + 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 14095924.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109656953 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2. Let p(n) = -5*n**2 + 9. Let j = -48 + 57. Let y(q) = -q**2 + 2. Suppose 2*t = t - 2. Let s(m) = j*y(m) + t*p(m). Determine f(s(i)).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**3 + 33*r - 5*r**3 - 13*r + 5*r**3 + 10*r**3.\nAnswer: -2*r**3 + 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1921 (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2579*d**4 - d**3 + 0*d**2 + 0*d**2 - d**2 - 2578*d**4 as a*d**3 + b*d**4 + q*d + t*d**2 + h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = 125*u + 2400. Sort 1, 4, 29, u.\nAnswer: u, 1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 454 - 41315\/91. Let q = o + -171\/1001. Calculate the common denominator of q and 33 + 4393\/(-920) - 29.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 + 3*s**2 - 5*s**2 - 11*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*j - 15414 = 263*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -14. Let k = t + -19. Suppose 3*j - s - 155 = 0, -k*s + 55 = j - 3*s. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62302907 is divided by 6278.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(-1 + sqrt(112)) - ((sqrt(112) - (1 + sqrt(112) + 1)) + sqrt(112))**2 - ((sqrt(112) + -1)**2*5 - (3 + (sqrt(112)*-2 - sqrt(112))))).\nAnswer: -684 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 9) to base 7\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -34. What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 704.21 and -0.02854?\nAnswer: -20.0981534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 7}. Give prob of sequence jj.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30115529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.2 (b) 1\/6 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -941*0.06.\nAnswer: -56.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*z - 2 + (-5 + 1 + 2)*(-5*z - z - 3*z).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1320966939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*v - 20. Suppose 2*g + 40 = v*g. Solve 4*o = 0, 3*o - o = -5*q + g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087970486 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyy when three letters picked without replacement from yzyzzzzzzzz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-805)\/42)\/(((-60)\/270)\/(4\/30)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-612) + (108\/51 - 2). Determine n so that 0 - a*n**4 + 0*n**3 + 0*n**2 + 0*n = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x - 28. What is the tens digit of w(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 98184?\nAnswer: -98180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 31*n + 19*n + 172 = -6*s, -21*n - 29 = -3*s - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325743, -651227, -976713, -1302201, -1627691?\nAnswer: -1953183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-202.\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -121. Let h be -1 - (r\/(-21))\/(9\/9). What is the closest to 0 in h, -16, -3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33584364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 0*l**4 - l**4 + (2*l**3 - l**3 + 0*l**3)*(1 + l - 1) - 36*l**3 + 11*l**4 + 36*l**3.\nAnswer: 13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {q: 1, n: 5, d: 1, m: 13}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 99. Let z = -53 - v. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**9\/60480 - v**8\/10080 + v**6\/360 - v**5\/15 - 2*v**2. Let c(d) be the third derivative of x(d). Give c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 6*t**2 + 5*t**3 - 4*t + 3*t to the form f*t + d*t**3 + u*t**2 + s and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v = -47*v. Let k(g) = -g**2 - 3*g + 47. Let f be k(v). Calculate the remainder when 37 is divided by (f + -86)*(-1 - 2\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*f**2*g**3 + a**2*f*g**3 + a**2 - a*f**2*g + a*f - 275*f**2*g**3 - 57*f*g**3 wrt f.\nAnswer: 4*a**2*g**3 - 2*a*g - 550*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 696*g**2 - 346*g - 240820. What is p(-696)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1880 and 1051672.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6ab2 (base 12) to base 8.\nAnswer: 27246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 77848221973312 and 11.\nAnswer: 77848221973323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n. Let h(m) = 16*m. Let c(d) = 5*d. Let l(z) = 21*c(z) - 6*h(z). Calculate p(l(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*h + 4)*(41 - 26 + 42)*(h + 2*h + 2*h).\nAnswer: 570*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -21?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**1)*w)**11\/(w\/(w*w**4*w))**19 assuming w is positive.\nAnswer: w**106","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -6*sqrt(176))**2*-5*1 - 6*(sqrt(176)*-5 + 2).\nAnswer: -22012 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4187 (base 15) to base 8.\nAnswer: 33034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34443221*f**3 + 67296013*f**2 wrt f.\nAnswer: 206659326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/z**(1\/6))\/(z*z\/(z*z**0)*z)**(-40))**(1\/2) assuming z is positive.\nAnswer: z**(443\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/55 and 34\/9581.\nAnswer: 47905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 28. Calculate t(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-1 + 15*g - 10*g - 13*g) + 3*g - 4*g - 6*g + (5 + 0 - 4)*(2 - 2 - 2*g).\nAnswer: -25*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:37 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {b: 3, c: 2, g: 2, r: 9}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -646700?\nAnswer: 1293400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32862, -32870, -32878, -32886, -32894?\n\"Answer: -8*u - 32854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.277 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 5550 = 3156. Let c = -830 + o. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-120))\/((-42)\/(-1400))*6\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 6*x - 4*x)*(4311*x - 82*x**2 - 4311*x - 98*x**2).\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, q: 5, c: 1, b: 8}. Give prob of sequence ppqb.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 46 + 164 = 0. Let w = 1320 - 1319. Let r be (4\/10)\/w - 63\/m. Sort 0.5, r, 14 in decreasing order.\nAnswer: 14, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 - 234*i = 0. What is i?\nAnswer: 0, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5120 and 30?\nAnswer: 15360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*n - 476 = 648. Let z(v) be the first derivative of -v**4\/4 + 4*v**3\/3 + v**2 + 1. What is z(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 16*l + 41. Give b(-21).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 + 61 = 2*r, 0 = -4*r - 16. Suppose 0*j = 2*c - 2*j - f, -c + 9 = 3*j. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4 + 16908*g**3 + 3578352*g**2 + 189449040*g - 393346800 = 0. What is g?\nAnswer: -5418, -110, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44776.0782 + -44780. Let x = a - -5.006. Let q = 1.08 - x. What is q rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-6))\/(34\/(-408)). What is the highest common factor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -0.11236.\nAnswer: -0.0033708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 7*t**2 - 40*t + 26. What is the least common multiple of 712 and j(-14)?\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 - 5110?\nAnswer: -5300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (2*((sqrt(275) - sqrt(275)*-1) + sqrt(275) - sqrt(275)) + 4*(sqrt(275) + sqrt(275) + 0 + sqrt(275)) + 5)**2 + -3).\nAnswer: -352125 - 4000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/17 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 1222*i - 2001343. Calculate z(-930).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 10381080?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 2*z**4 - z + 3*z**4 + (-z**2 + 0*z**2 + 0*z**2)*(-4 - 2*z**2 + 4) + (4*z**2 - 2*z**2 - 3*z**2)*(-3*z**2 + 3*z**2 - 4*z**2).\nAnswer: 7*z**4 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 20*j - 38*j + 262384. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 261.9 + -259.9. Which is the nearest to x? (a) 2 (b) 3\/2 (c) 282 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**4\/12 + 7*h**3\/2 - 3*h**2\/2 - 28*h - 27. Give f(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*y - 16 = 0, 10*s - 5*s - 26 = 3*y. What is the second derivative of -31 - s*c + 40*c**2 + 41 + 5*c wrt c?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22301670 by -6.\nAnswer: 3716945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*(-10)\/(-15). Let b be (y\/3)\/((-14)\/12). Let j = -95 + 472\/5. What is the second biggest value in j, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -15318694?\nAnswer: -3063738.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 2105220355?\nAnswer: -2105220403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)*r**3\/r*(r*r**(-6))\/r*r*r\/r**0*r)\/((r\/(r*r**1))**(-43)\/(r**(-4)\/(r**8\/r))) assuming r is positive.\nAnswer: r**(-111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 638976853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 43*w - 246. Let z be n(7). Let t(h) = -4*h - 1. Calculate t(z).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/4, -3\/10, 51, 9.\nAnswer: -3\/10, -1\/4, 1\/4, 9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -386 + 138. Let z = f + 5475. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1684*w**2 - 28*w - 62. What are the prime factors of q(-3)?\nAnswer: 2, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2584132872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174 - -1221\/7. Suppose 2*z = -3*x - 5 + 1, -4*z = -2*x + 8. Suppose x = f - 1. Which is greater: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 834240 divided by 10560.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -38, 19\/20, -4?\nAnswer: 19\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17772 is divided by 2302?\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i - 63. Determine h(6).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-88)*33)\/(3*(-1)\/(-36)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 + 5*t - 50. Let r(x) = 14*x**2 + 8*x - 75. Let d(u) = -8*i(u) + 5*r(u). Let w(l) = -l**2 + 12. Give -6*d(z) + 13*w(z).\nAnswer: -z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 28997 + 9507 + 9420 + 10070.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 15. Let d be y(-8). What is the highest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21291303 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 40740?\nAnswer: 40740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 47053*g**2. Let b(j) = -2*j. Give b(z(r)).\nAnswer: -94106*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 6*l**2 - 1 + 9*l - 1\/3*l**3. What are the prime factors of h(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-90)*((-5)\/3)\/(50\/(-60))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, r: 1, y: 1, g: 1, n: 1}. Give prob of picking 1 n and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {k: 4, z: 4, t: 9}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30636 and 24.\nAnswer: 61272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 + -129. Calculate the common denominator of (-72)\/27 + y\/6 and ((-31)\/9)\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**7\/1260 + i**6\/144 - i**4\/8 - 8*i**2. Let o(p) be the second derivative of t(p). What is o(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/((75\/20)\/(-5)). What is the third derivative of -33*i**4 - 1 + w*i**4 + 1 - 10*i**2 wrt i?\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1176 and 133448?\nAnswer: 2802408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14528779 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147668 = 187*d + 1756*d for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/3 + 94*x**3\/3 + 92*x**2\/3 = 0.\nAnswer: -46, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-10))\/(-21)*2\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from yuyyuyyuyuyuu.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/24145 and -71\/21950?\nAnswer: 241450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26333, 106053, 239179, 425723, 665697?\nAnswer: 959113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q\/q**(-10))\/q*q**5*q\/q**(-2\/29)*q**(-2\/21)*q)**(-3\/2))**(-12\/7) assuming q is positive.\nAnswer: q**(69330\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/61, -0.6, -0.4, -4, -3\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 372793091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5904 = -1378*u + 1747*u. Suppose -2*g - 3*c + 99 = -8*c, g + c = 46. What is the remainder when g is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20.8, 1\/6, 2\/5, 167\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -137, -242, -347?\n\"Answer: -105*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 2, y: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/40)\/((323\/(-68))\/(-19))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 159*r - 24942. What is v(158)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*g - 86*g + 798 = -288 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*f - 7*f, -7833 = -3*t - 3*f. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -523 + 576. Suppose -15*x = -z*x. Factor x - 2\/11*h**2 + 0*h + 6\/11*h**3 - 4\/11*h**4.\nAnswer: -2*h**2*(h - 1)*(2*h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -23*l**2 - 10*l + 3. Let y(m) = 69*m**2 + 28*m - 9. Calculate -11*a(s) - 4*y(s).\nAnswer: -23*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7455 - 25*g - 7455.\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*s + 2*a, 3*s + 7*a - 30 = 2*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 9) in base 12?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091136.\nAnswer: 2, 3, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4 - 19\/7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588557?\nAnswer: 3, 529519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/18562 - 213303\/2969920. Find the common denominator of 7\/384 and r.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 5, v: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 - (4 + 2) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6484716 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1649*r**2 - 10*r - 515. Let l(d) = -824*d**2 + 6*d + 258. Let o(n) = -3*g(n) - 5*l(n). Differentiate o(u) with respect to u.\nAnswer: -1654*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbwdzzddbddz. Give prob of picking 2 d.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/9 (b) 6\/2683 (c) -111\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 403463180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111 - 1000100110011010010?\nAnswer: -1000100110100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/15407 - 878159\/308140. What is the common denominator of (0 - -2) + (-48)\/270 and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14625 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 80356, 161396, 242436, 323476, 404516?\n\"Answer: 81040*n - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*p = -0*y - 101, 5*y = 4*p + 585. Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -23. Let r = 12 - j. Let v be (-6)\/(-3) - 6\/r. Which is the second biggest value? (a) 1 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1052997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**4 - 4 - 5 - o + 8 to the form l + g*o**2 + m*o**3 + p*o + i*o**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106012087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33908008 divided by -15124\nAnswer: -2242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0844048 rounded to three decimal places?\nAnswer: -1.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9\/n**(2\/15))\/(n**20\/(n\/(n**(-16)*n)*n)) assuming n is positive.\nAnswer: n**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16379551 is divided by 543?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 + 3595*y**4 + 3590*y**3.\nAnswer: 5*y**3*(y + 1)*(y + 718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 10. Let q be l(-7). Let w = -0.01 - 0.29. Which is the second smallest value? (a) 0.4 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*w - 0*w + 5, 2*w + 3*f = -7. Suppose -20 = -3*l - 2. What is the lowest common multiple of l and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18936 from -31.7.\nAnswer: 18904.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.1595 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -2*a**5\/5 - 567*a**4 + 202*a**2 - a - 1248. What is the second derivative of i(y) wrt y?\nAnswer: -24*y**2 - 13608*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 24*k**2 + 3*k + 25. Give v(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82890474?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*k + 573*k - 10116 = 0. Which is the closest to 0.02? (a) -6 (b) -4\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4512 and 62124224?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -17*k**3 + k**2 - 2*k. What is g(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -23 + 4*z - 28 + 7*z**3 + 8. Let w(r) = -r. Let g(u) = q(u) + 4*w(u). Differentiate g(i) wrt i.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 169434*n - 6269057. Give t(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -37402 equal to -37402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(35)\/(-1*sqrt(7)))**2 + 5 - (sqrt(5) + sqrt(125)*3 + -4*(sqrt(5) + sqrt(5) + 5*sqrt(5))).\nAnswer: 10 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/26*((-160)\/(-8))\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*m - 5. Let p be 4*(19\/(-18) + m). Which is the biggest value? (a) p (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 14*t - 12. Let v(d) = d**2 + 3*d + 3. Let o be v(-2). Solve c + t = -o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = 3*q, 0 = -3*q + 4*n - 48 + 14. Let u = q + 14. What is the remainder when 46 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1431216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987643.8 nanograms to kilograms.\nAnswer: 0.0000009876438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5755*7.6.\nAnswer: -4.3738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3443 (base 16) to base 10.\nAnswer: -13379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 25\/5) + 24*(-8)\/6. Are -151\/5 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b - 5. What is r(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-5) + 0 + 957\/2145. Which is bigger: -15\/8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigiiigiiig. What is prob of sequence ii?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0 + o**3 - 1\/3*o**4 + 10*o - 1\/2*o**2. Let n(h) = 3*h**2 - 4*h + 1. Determine -5*b(k) - 7*n(k).\nAnswer: -k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -89 - -62 - (-20 + -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3743208125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-13)\/(f**(2\/17)\/f)*(f\/f**(1\/4)*f)**(1\/41) assuming f is positive.\nAnswer: f**(-33665\/2788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g = 3. Let j be 5 + -5 + (g - 1). Suppose -7*z + j*z = -45. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z + 16*z + 5*z - 14. What is the hundreds digit of o(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 3\/20, -11, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28 - 1.72. What is the closest to 2 in q, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*o = -0 - 1, s - 14 = 3*o. Suppose -m = -s*m. Solve -5*i - 11 = -5*c - i, c + 5*i - 8 = m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:30 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39 - 1271 + 235 + 3657*j**2 - 1590 wrt j?\nAnswer: 7314*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeceeeerpepp. What is prob of sequence pepp?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 24 = -y. Suppose -y*c + 42 + 42 = 0. Let a(n) = 4*n + 28. Let o be a(0). What is the greatest common divisor of o and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.873 decades in centuries?\nAnswer: 23.8873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from {p: 1, u: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.03588 - 0.13588. What is the closest to -2\/7 in x, -8, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7304 <= -7464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*x, -8*x = -2*l - 6*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41818080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**4\/24 - 2*c**3\/3 - c**2. Let f(g) = g**3 + g**2 - 2*g + 4. Let s be f(-3). Let z = s + 5. What is o(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 13. What is m(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 733 divide 12591053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 3*l + 5*l)*(-4 + 4 + 2) + (-4 + 6 + 0)*(-19*l + 18*l + 34*l).\nAnswer: 62*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42053 = 28*w - 22522 - 15393. Is w a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/4 and -35\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598295 is divided by 8438?\nAnswer: 7635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 3*t + t + 3*t**3.\nAnswer: 3*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8446886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.092 + 46.898. What is x rounded to 0 decimal places?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3474 is divided by 724?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 4. Suppose 1 = -2*m + 19. Let u be l(m). Let s(g) = -g**3 + 4*g**2 + 4*g - 2. Calculate s(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, -0.3, 3, 0, 1.97 in increasing order.\nAnswer: -5, -0.3, 0, 1.97, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5\/4, -0.3, -5, -2, 4, -4.802?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 + 61*b**4 + 498*b**3 - 57376*b**2 + 112288*b = 0.\nAnswer: -29, 0, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39008535*k**3*t - 2*k**2 + k*t - 354*k + 8*t + 1 wrt k?\nAnswer: -234051210*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -14165?\nAnswer: -14160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, n: 3, x: 2, d: 2}. Give prob of picking 2 x and 2 n.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 1 + 7. Let t be 4 - ((1 - 0) + l). Find the first derivative of -24*u**4 - 21 - 2*u**t + 29 wrt u.\nAnswer: -104*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433765449.\nAnswer: 3, 13, 61, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32460424 - -4?\nAnswer: -32460420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -87642 (base 9) in base 7?\nAnswer: -331301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -876*f**2 - f - 94 wrt f?\nAnswer: -1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6865 is divided by 6860.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13182208 divided by 15844?\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Suppose -2*y + 6*a - 5*a + 6 = 0, -4*a - 19 = -3*y. Let n(x) = 14*x. Determine y*n(c) + 12*d(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -51. Suppose -o*n + 5*q + 12 = 0, -8*n - 5*q = -3*n - 30. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -17*a**2 + 28*a + 76. Determine v(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1820 = -n - 3*s, -n + 93 = 4*s - 1731. Let x = 3087 - n. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 1 + 1 + (-16 + 11*z + 21 - 8)*(1 + 2 + 0) to h*z + a and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28339, -28310, -28283, -28258?\nAnswer: -28235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -28 - 2. Solve 0 = 5*z - s + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*y + 36, 2*m + 19 = -y - 17. Let x = -22 - m. Is -4 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -688\/5 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -30, -5*a + 643*c = -6*a + 2*a + 637*c + 27 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*454 + 441\/(-147). What is the greatest common factor of a and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-172536)\/(-1911) + (-2)\/7. Let h = -23 - -63. Calculate the greatest common divisor of h and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(((-6)\/(-15))\/((-7)\/(-35))). Suppose -5*c + 9*c + 4*o = 40, 5*o = v. What is the remainder when 184 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4287792.\nAnswer: 2, 3, 89329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 491, -0.05, 1 in descending order.\nAnswer: 491, 2, 1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**5 + 1307*c**2*x + 135*c + 112*x wrt c?\nAnswer: 40*c**3 + 2614*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92769057.\nAnswer: 3, 29, 73, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.714 less than -0.3?\nAnswer: -1.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.2, 35, -2, -1\/21, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1813 + 1813 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 11*h = -32 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = 8. Suppose -41 = y*b - 265. Does 24 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*d*i**4 + 272*d*i**3 + 221*d*i + 2*d + 294*i**2 - 9*i - 250 wrt i?\nAnswer: 312*d*i**2 + 1632*d*i + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18)\/(sqrt(30)\/sqrt(5)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75408 - 22568 = -8*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g = 0. Suppose -5*r + p = -12 - 7, 4*r - 5*p - 11 = g. Suppose r*l - 36 = -2*d + 2, 34 = 3*l - 4*d. Solve 6*h - h + l = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 34 - 10*c + 26 - 4 - 14. What is the tens digit of g(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 102930\/24 + 3\/12. Suppose -6*c = -3*c. Suppose -8*l + 1735 + a = c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -53, -128, -251, -434, -689, -1028?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 1)*(0 - (-65)\/10) - 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.6 - -36. Let s = -15 - -6. Let q be ((-27)\/24)\/(s\/12). Sort q, a, -4.\nAnswer: -4, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 307*y - 285*y)*(-2 - 3*y + 2).\nAnswer: 1755*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1403714 and -0.1.\nAnswer: 140371.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1 - 30\/(-5). Let g(j) = j - 10. Let n be g(14). Suppose n = -8*f + 6*f, -f - 13 = -h. Solve 0 = i*s - h + 36 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -3*k - n, -k + 5*n = 3*k - 85. Let f(c) = 4*c**2 + 4*c - 4. Calculate the remainder when f(-5) is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 15*o**2 - 30*o + 9. Give a(-17).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.6 - -8.592855. What is d rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*b - 44*b + 40677 - 47397 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t + 6. Let k(b) = 5*b - 4. Let q(m) = 4*a(m) + 6*k(m). Let p(s) = -282*s**2. Give p(q(z)).\nAnswer: -1128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 + 26 - 13)*297\/(-1287)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + -2 + sqrt(448) + -2)**2 + ((0 + sqrt(7) + 0 - (sqrt(7) + sqrt(42)\/(sqrt(18)\/sqrt(3)))) + sqrt(112) + 3 + 1 + sqrt(112))**2.\nAnswer: -114 + 136*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25093, 30015, 34937?\n\"Answer: 4922*o + 20171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/(1\/3). Let d = -2 - n. Suppose d*w - w + 4 = 0. What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/2 - 39*p\/2 - 18.\nAnswer: -3*(p + 1)*(p + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1456, 5846, 13156, 23386, 36536?\nAnswer: 52606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 78500, 78498, 78494, 78488, 78480, 78470, 78458?\n\"Answer: -d**2 + d + 78500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49448, -49640, -49832?\n\"Answer: -192*m - 49256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79185490?\nAnswer: 2, 5, 17, 465797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v - 5*v)*(203 - 8*v - 203)*(16 + 2*v**3 - 5*v**3 - 14).\nAnswer: -96*v**5 + 64*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -0.1, 5, -0.53, -8, -1\/2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 13, y: 3}. What is prob of sequence yzy?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1113\nAnswer: -5\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47097 is divided by 128?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = -5*j - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 2*i - 18, 226*i - 12 = -2*x + 222*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 - 55*n - 4. What are the prime factors of o(-11)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18\/97 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 129, 1, 2 in ascending order.\nAnswer: -1, 0, 1, 2, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -508477048 and -0.1?\nAnswer: 50847704.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 241114 + 2336?\nAnswer: 243452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/8823601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5658 + 0.0658. Put 0.8, s, -15 in descending order.\nAnswer: 0.8, s, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10475452, -20950968, -31426484?\nAnswer: -41902000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 4 - 5 - 10 + 9*g + 0*g - 8*g**2 - 2*g**3. Is z(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Suppose -3*n = -2*v - 21, -20 = -2*n + j*v - 1. Suppose 35 = n*i - 4*i. Calculate the greatest common factor of 14 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-13\/5))\/x)**41*(x**(19\/6))**(-13) assuming x is positive.\nAnswer: x**(1963\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15597*x + 2 + 7812*x + 7796*x.\nAnswer: 11*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -l + 4*l. Let b be l\/(-10) + (-249)\/(-15). Let h = b + 6. Which is smaller: h or 24?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 706, 1399, 2364, 3595, 5086, 6831, 8824, 11059?\nAnswer: 13530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 541624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -521388 - -809588. What is l rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**3\/3 + 9*u**2 - 107*u - 159. Let v be l(-23). Solve 2\/9*k**2 - 8\/3*k + v = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -163, -173, -191, -217, -251, -293, -343?\n\"Answer: -4*r**2 + 2*r - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0177 + -168.8123. Let q = c + -7.07. Round q to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11. Let n be u\/(4\/(-4) - -3). Solve n = -2*t - 0*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 2, c: 11}. Give prob of sequence zec.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2\/21)*j))\/(j\/(j**(-12)\/j*j)) assuming j is positive.\nAnswer: j**(-271\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7439 = 17*n - 50480. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 89*s + 127. Does 7 divide f(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (130\/15)\/(-5*(-10)\/8625)?\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.02 - 27. Let z = -4 + 3.97. Let h = 0.37 - z. Put y, h, 2\/7 in increasing order.\nAnswer: y, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h - 5*b, 4*b = -4*h + 2*h + 20. Let t(s) = s**3 - 7*s**2 + 11*s - 16. Let c be t(6). Is h smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*b + 208, -119 = -4*q + b + 101. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 218*r - 14. Let v(t) = 44*t - 3. Calculate -3*o(y) + 14*v(y).\nAnswer: -38*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = a + 166, 664 = 2*b - 6*b + a. Let v be -2*-2*b\/4. What are the prime factors of (1 - 2)*v\/2?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18266 - 3?\nAnswer: 18263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-25))\/(b\/(b**(-2\/9)*b))*((b\/b**(-7))\/b)**(5\/2) assuming b is positive.\nAnswer: b**(-121\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 3*d - 9. Let l be f(-9). Let m be l\/12*4\/10 + -1. Put 3, 1\/7, m in decreasing order.\nAnswer: 3, m, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)\/w**(-2\/7))\/(w**10\/(w*w\/(w**(-6)*w*w))) assuming w is positive.\nAnswer: w**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 82*z + 864. Determine y(-2).\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4315?\nAnswer: 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (10 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18 + (-1075)\/18. Let p = z + 61. Let i be -1 - (1 - (-26)\/(-14)). Which is the second biggest value? (a) p (b) i (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14661047*b**4 - 17742782.\nAnswer: -58644188*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.61648 + 25.86748. Round d to one decimal place.\nAnswer: 25.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*i = -44070 + 48438 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 6 - 4)*(-1)\/(-6). Suppose h = 3*w + 6, i - 5*i - w + 38 = 0. Solve i*u + 1 = -29 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-20)\/176*4\/10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**3 - 8*s**3 + 24*s**3 - 23*s**2 + 23*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, a: 1, g: 6, j: 3, l: 4, w: 1}. What is prob of sequence aw?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 q when three letters picked without replacement from {f: 1, k: 2, n: 4, q: 4, a: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcciccmmxicmi. Give prob of sequence mimi.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/120 - 3*p**5\/20 + p**4\/6 - 11*p**3\/6 - 3*p**2. What is the units digit of r(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37716276557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*p = -216, 3*o - 5*p - 250 - 90 = 0. Calculate the greatest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 499663.7 millilitres to litres.\nAnswer: 499.6637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2.1, -3, 1\/2 in increasing order.\nAnswer: -3, -2.1, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17000 and 1300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) 0.3 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -12*c + 82. Let r be b(7). Let o(y) = -39*y**3 + 12*y + 22. What are the prime factors of o(r)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 70.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1998762 or -1998578?\nAnswer: -1998578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 1, -19, -45, -77, -115, -159?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 1 + 0*b**2 + 2*b**2 - 4*b. What is the remainder when g(-5) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 440978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:20 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 308 = -5*r + 16*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44 and 50158.\nAnswer: 50202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/1280658?\nAnswer: -1\/1280658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*x - 87, 81*x + 105 = 85*x + 5*y. Sort x, -15, -4 in increasing order.\nAnswer: -15, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000275235 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16165*z**2 + 434*z**5 - 2136*z**2 - 3191*z**3 + 3191*z**3 wrt z?\nAnswer: 26040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/3, 3, 11, -0.2, 4 in increasing order.\nAnswer: -28\/3, -0.2, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -43?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31 (b) -2 (c) -0.5 (d) 5 (e) 0.01 (f) 5\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 683 by -1.\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5131 - 5?\nAnswer: -5136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, 0.029, -811?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14522704 and 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 675*g**4 - 763*g**3 + 95*g**2 - 5*g + 2. Let o(x) = -675*x**4 + 762*x**3 - 96*x**2 + 6*x - 3. Let a(v) = 3*f(v) + 2*o(v). Factor a(w).\nAnswer: 3*w*(w - 1)*(15*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/60 + 5*i**4\/24 + i**3\/2 - 3*i**2. Let f be h(-4). Which is smaller: f or -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -0.18 (c) 4 (d) -2\/159 (e) 0.3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149778 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 1440)*208\/(-32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4255, 4253, 4251, 4249, 4247, 4245?\n\"Answer: -2*h + 4257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3017*f**2 - 993*f**2 - 1440*f**2 as k + j*f + w*f**2 and give w.\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from vvvvwwwvvw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1 - -373)*(-18)\/24. Let c = x + 1657\/6. Is c smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3131 - 66*o**3 - 3131 + (-2*o - o + o)*(2*o**2 - 3*o**2 + 3*o**2) in the form c + l*o + q*o**3 + f*o**2 and give q.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + 4*z - 14. Let h(b) = -10*b**2 + 1. Give o(h(s)).\nAnswer: 300*s**4 - 100*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 910 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 - -0.16. Let f = 1.14 + -1.54. What is the nearest to -6 in f, -0.3, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**4 + 89*f**3 - 2*f**2 + 5595*f?\nAnswer: 48*f**2 + 534*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/9 - 8*w**3\/9 + 4*w**2\/9 + 8*w\/9 - 2\/3.\nAnswer: 2*(w - 3)*(w - 1)**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 71) + 12 + 2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -227401, -454811, -682221?\n\"Answer: -227410*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -9923532937 and -2.\nAnswer: -9923532939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let t(r) = r**3 + 10*r**2 + 6*r - 7. Let q be ((-1)\/(-3))\/((-2)\/54). Let b be t(q). Let m(y) = 20 - b - 2*y. Give i(m(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-5))\/(1 - (-326)\/(-330)). List the prime factors of 9\/(121\/q + (-1)\/4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + 2*g**3 + 0*g)*(-4*g**2 - 3*g**2 + 5*g**2).\nAnswer: -4*g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/2 - 403*x**3\/2 - 1203*x**2\/2 - 1201*x\/2 - 200 = 0.\nAnswer: -400, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288740.\nAnswer: 2, 5, 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1444 + 48*b**3 + 1478 - 49*b**3.\nAnswer: -b**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaqqa. Give prob of sequence qqaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 138 + 225 = 40 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73846, 73664, 73482, 73300, 73118, 72936?\nAnswer: 72754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-170)\/(-40)))\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*a + 10. Suppose r = -28 + a. Let u(f) = -f**2 - 1. Calculate u(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 3 + 3*m + 2*m - 2*m + 2*m. Let t be p(5). Solve -t*g - 1 = 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -3*q + 34. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 3)*(p - p + 4*p**2)*(0*p + 0*p - 2*p)*(-4*p + 0*p + 2*p) as k*p**2 + r + b*p + w*p**4 + s*p**3 and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1, 0, -2277?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**7\/630 - 7*z**6\/270 + 17*z**5\/90 - z**4\/2 + 25*z**3\/6 + 2*z**2. Let o(u) be the first derivative of k(u). Factor o(n).\nAnswer: -4*(n - 1)**2*(n + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 7*t + 3. Let r be v(-7). Let j be (r\/(-30))\/(5\/(-20)). Which is the third smallest value? (a) 0.2 (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30949\/106056 + -2\/13257. What is the common denominator of (-4)\/(-1) - (-394)\/(-66) and z?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(300)*2 + sqrt(300))\/(-5*sqrt(54))*5.\nAnswer: -25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22\/231)\/(1\/15) + 144\/(-140). Let f be (-4)\/2*6\/(-34). Which is the second smallest value? (a) f (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -16*i**2 - 15*i + 2. Let z(x) = x**2 + 3*x. Calculate v(q) + 5*z(q).\nAnswer: -11*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 1\/4 (b) -4 (c) 0.6 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 4*y + 663. Let b = y - -138. Solve -9*a + b*a + 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 205156, 205184, 205230, 205294, 205376, 205476?\n\"Answer: 9*w**2 + w + 205146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011100000001 + 10?\nAnswer: -1001011011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3239*t = -3226*t - 26. Put -5\/8, 4\/9, 1\/6, t, -0.4 in increasing order.\nAnswer: -5\/8, -0.4, 1\/6, 4\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5305*c**3*j**2*m**2 + c**3*m**2 - 3*c**2*j*m**2 + j*m**2 + j*m - 1385*j wrt j?\nAnswer: -10610*c**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {r: 1, k: 2, p: 3, g: 6, i: 2, s: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42699 from -2.7.\nAnswer: 42696.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5 - 3*f + 5*f + 2. Let g(q) = -q**3 - 34*q**2 + 457*q + 16165. Let k be g(-33). What is i(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 3, -0.04, -4, 0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**6\/72 + 7*n**5\/40 - n**4\/6 - 27*n**2. Let p(c) be the second derivative of r(c). What is the derivative of p(q) wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97527, 97586, 97645?\n\"Answer: 59*t + 97468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/540645 and -94\/30384249.\nAnswer: 151921245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - y + 2. Suppose -2*g + 4 = 0, -2*a = 3*a + 2*g + 6. Let o be j(a). Differentiate 12 + 667*s - 667*s - o*s**2 wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183\/2*(-2 + -2 - -6) is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0*z**3 + 0 - 2*z**2 + 1\/3*z**4 - 8*z. Differentiate a(w) with respect to w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-418320)\/(-18270) - (-6)\/58\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28903153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8396 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 6*n + 36. Let s be b(-5). Suppose s*r - 40*r - 24 = 0. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/778 or 1?\nAnswer: -3\/778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g + 79. Determine j(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16995 (base 10) to base 8\nAnswer: -41143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 8.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:41 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviivviviivv. Give prob of picking 2 v.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-240)\/(-50) - (1 + 0)\/(-5). Find the second derivative of -k**5 - 2*k**f + 6*k**2 + 1 + 14*k**5 - 3*k**5 - 9*k wrt k.\nAnswer: 160*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142638 + 320869. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3*(-3)\/162?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 4)*(-214495 - 4502*f + 214495) - 3*f + 2*f + 0*f to m*f + h and give m.\nAnswer: 9003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*p + 14, 8*x + 6*p = 3*x + p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -38*i**3 - 114*i - 114. Let b(z) = z**3 + z + 1. What is -114*b(x) - v(x)?\nAnswer: -76*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 98\/(-8)*(-8)\/(-3). Let u = s + 26. Let z = -578179\/27 - -21415. Find the common denominator of u and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-14) - (-3)\/(84\/1804). Let x = z + -61. Suppose w + 5*d - 14180 = -x*w, -4*w + 11323 = -3*d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1632678 rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31245 is divided by 251.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 27940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165189 and 51?\nAnswer: 165189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*d*m**2 + 6*b**3*m**2 - 6*b**3*p + 28*b**2*d*m + 2*b*d*m**2*p + 191*b*d*p wrt p.\nAnswer: -6*b**3 + 2*b*d*m**2 + 191*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3899107\/7984730 - 4\/46969. Let v = x + 1\/85. Find a such that -a**4 + 0 + 0*a + v*a**3 + 0*a**2 + 1\/2*a**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*u + 985 = -271 + 10938. Solve 3*i - 38 = -u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 214 = -2*m. Suppose 5*o - 164 = 3*q, 2*q + 524 = 5*o + 353. Calculate the remainder when m is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h - h**3 + 6*h**3 + 1. Let z = -15 - -16. Let n be g(z). Solve -n*y = -5 - 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5*l - 4285, 0*l = -2*w + l + 1720. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 2. Suppose -70 = -3*m + v*m. Let u = 128 + m. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76887?\nAnswer: 3, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8557 is divided by 4271.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -685 + -179. Find the common denominator of 2\/3 - 477\/o and -49\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 14. What is the remainder when b(6) is divided by (0 + -1)*-4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-319)\/(-58) + -5*1. Are n and -3.77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/3 + 17 + -8. What is the closest to s in 1\/3, 0.56, 3?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 9*q - 3*q)*(2 - 2 - 3*q**4)*(-1 + 1 - 1).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28812736 divided by -450199.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 1:13 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times -0.04?\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64190720 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 6924.38985 rounded to one decimal place?\nAnswer: 6924.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -76. Suppose o - 6 = 4*v. Suppose 5*x - 2*z - v = 0, -3*z + 23 = 3*x + 2. Solve -5 = -x*y + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5312455.35 rounded to the nearest 100000?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 39142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-185)\/(-35) + -5 + (-38)\/(-14). Find the first derivative of k*t + 19 + 7*t - 20 wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13137653 divided by 60\nAnswer: -13137653\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9, 8*h = 9*h - n - 45. Solve h*v - 34*v = 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*c + 4*n, -3*c - 5*n - 31 = -7*c. Put c, -1, -4, 0 in ascending order.\nAnswer: -4, -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 412 and 4252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80797*o + 22505 = -78677*o - 9295 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8332 - 344?\nAnswer: 7877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/200494 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78485896 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -16211594 - 0.\nAnswer: -16211594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6755 times -4\nAnswer: 27020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6*27935837\nAnswer: -167615022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 72*v**2 + 5044*v + 237. Calculate l(-70).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -49*h**2 - 25*h - 3. Let u(o) = 8*o - 1. Calculate f(x) + 3*u(x).\nAnswer: -49*x**2 - x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - 149 - 4*w + 149.\nAnswer: -5*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*u - 28 = 42*u. Let k(h) = 3 - 2 - 1 + 4 - 2*h. Give k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7912058722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163888649317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6690403 kilograms?\nAnswer: 669040300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.4, 0.5, 68\/3?\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4))**(-1\/17)*x**7*(((x\/(x\/(x\/(x*x*x**(-2\/7)))))\/x*x)\/x*x)\/x assuming x is positive.\nAnswer: x**(2523\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.11 + 3.61. Let j = 5 - 0. Which is the closest to -12? (a) j (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1163 - 10633?\nAnswer: -6440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -56, -110, -186, -290, -428, -606?\n\"Answer: -o**3 - 2*o**2 - 25*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*o**2 - 256680725*a**3*o + 256534*a**2*o**2 - 2*a**2 + 13*o**2 wrt a?\nAnswer: -6*o**2 - 1540084350*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(1053) + (sqrt(637)*-4)**2 + 4)*3.\nAnswer: 27*sqrt(13) + 30585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -249 - -1739\/7. Let q be ((-2)\/4 - 0)*2228\/2785. What is the fourth biggest value in -1\/24, q, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 6, 2, 0.5, 247\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1739 minus 8?\nAnswer: -7.8261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5700756 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-2 - 1) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -666138*g**4*l - 2*g**4 + 7*g*l + 11841*g wrt g?\nAnswer: -7993656*g**2*l - 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = -5*j + 20, -4*j - 2*k + 34 = 0. Which is the nearest to j? (a) -2\/3 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 2*b - 3*b + 2*b + 0*b + b + (3*b - b - 3*b)*(3 - 6 + 1) + 0*b + b - 2*b to k*b + c and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 630 = 2*d - i, 0 = d - 5*i - 315. Calculate the highest common divisor of d and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3)\/b)\/b**(3\/8))**(8\/15) assuming b is positive.\nAnswer: b**(-49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1*2\/(-20)). Let h = 17 + 1. Let b = 33 - h. What is the highest common divisor of b and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -41. Put f, -19, -1, 4\/3 in increasing order.\nAnswer: -19, f, -1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94143155 or -188286307\/2?\nAnswer: -188286307\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -6335.38, 5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - x = 1834, 3*r = 4*x + 390 + 1429. Let s = 621 - r. Solve -s*q = 2*q + 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 17}. Give prob of sequence dvv.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000455 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2736) - 2*sqrt(2736))**2 - (sqrt(2736) - -1*sqrt(2736)*1)**2.\nAnswer: -24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 4. Let c(k) = k**3 - k**2 - 15*k + 15. Let n be c(4). Determine l(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-10)*((-10)\/12)\/(45\/(-198))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 0.09104.\nAnswer: 0.054624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -274, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -26 + 7 + d - 2*d + 10. Let i be z(-11). Suppose -r = i - 18. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 737520 and 224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4060927 to the nearest integer?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112743.6 millennia to centuries.\nAnswer: 1127436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/12 - f**3\/3 - 2*f**2 - 5*f. Let v be x(3). Let k be v*0*3\/6. Solve k = 5*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y + 229. Give f(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 5. Let z be c(5). Suppose 0*a - 5 = -3*a - 5*r, -5*r - z = -a. Suppose 0 = -w - f - 0*f + 3, 0 = -w + a*f - 9. Solve -1 - w = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 3*p - 316 - 508 - 5*p to the form l*p + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + x**2 + 3*x**3 + (4*x - x - 2*x)*(-3*x**2 + x**2 - 12*x**2) + 0*x**3 - 2*x**3 + 0*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 + 513322*a\/9.\nAnswer: 2*a*(a + 256661)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 2:02 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4144.41592 - 2919.4259. Let w = a + -1225. What is w rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 + 3*k**2 - 9*k - 5. Let t(q) = -6*q**3 - 4*q**2 + 13*q + 7. Let h = 30 - 25. Suppose 4*j - 8 = 0, h = 4*x + j + 31. What is x*z(s) - 5*t(s)?\nAnswer: 2*s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 25 = -3*h, -96*h + 98*h - 4 = -3*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -55. Suppose x = -q + 45. Let p = q + -11. What is the highest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/200 and ((-142)\/(-5))\/((-10)\/(-25) - 2)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 4. Let c be u(3). Let h = c - -18. Solve 2*q - 5*o + 21 = 0, 0*q = h*q + 3*o - 25 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 + 0.37. Let j = -0.68 + i. Which is the nearest to -1? (a) j (b) 0.3 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 16*l**3 + 510*l**2 - 69 - 508*l**2 - 2*l + 15*l**3 - l**4 to v*l**4 + i*l**3 + f + s*l**2 + t*l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert dc57 (base 15) to base 12.\nAnswer: 23001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-3 - (-10 - -3) - (-42 + 39))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 7*d + 4. Suppose 149*f - 102 = 132*f. Let t(j) = -3*j**2 + 8*j - 5. Determine f*q(c) + 5*t(c).\nAnswer: -3*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a - 12 = 0. Let t(q) = -3*q**3 - 3*q**2 + 1 + a*q**3 - 2*q**3 + 5*q. Calculate the remainder when t(-5) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -375189 * 49.\nAnswer: -18384261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 24 + 18. Calculate the highest common factor of a and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a factor of 3965437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11004964, 22009919, 33014866, 44019799, 55024712, 66029599, 77034454?\nAnswer: 88039271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1285 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3 - 3)*(41*i**2 + 81 - 81) - 2*i**3 - i**3 + 2*i**3 + (-i + 3*i - 3*i)*(-219*i**2 + 186*i**2 - 680*i**2).\nAnswer: 794*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 209*j + 1659. Give t(-8).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 > -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2.536828?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23 - -25)\/((2\/3)\/(8\/(-60))). Let l = 7 - 7.1. Which is the closest to l? (a) t (b) 0.4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31526560 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 127516*r - 39019891. Calculate t(306).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1.5. Let i = 0.4 - -0.6. Let y = b + i. Sort 2, -0.2, y in descending order.\nAnswer: 2, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655918347 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13458\/11 + -1222. Let o = 19934\/11 + -1810. Factor -2\/11*p**3 - 12\/11*p**2 - o*p - q.\nAnswer: -2*(p + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*g - 3*g + 235, 462 = 2*g + 2*b. What is the remainder when g is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -325, -490, -651, -802?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 30*n**2 + 273*n + 680. Give p(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49091 is divided by 47956.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1848231\/4 or -462058?\nAnswer: -1848231\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f + 58*f = 32 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 0*w + 1 + 0*w + 8*w**2 + 12*w**3 - 4*w - 13*w**3. Let k be d(5). Let m = k - 38. Is m < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -43, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2832801.\nAnswer: 3, 109, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/1012923 - -33424529\/977470695. Find the common denominator of h and 9\/10.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13.1? (a) 5 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:24 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2635 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 16. Suppose 3*w + 2*w = -x*d + 366, w - 87 = -5*d. What is the remainder when w is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-21))\/5*1274\/364?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*u, -3*n + 30*u = 31*u + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76841936 to the nearest integer?\nAnswer: 8766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + 2*c - 1. Let x be t(-4). Calculate the highest common factor of 22 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3159, 12419, 27891, 49605, 77591, 111879?\n\"Answer: 5*m**3 + 3076*m**2 - 3*m + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/4 + 5*c**4\/4 + 3*c**3\/2 - c**2\/2 - 7*c\/4 - 3\/4.\nAnswer: (c - 1)*(c + 1)**3*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3354 + -41144?\nAnswer: -44542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13652246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + 6*i**2 - 2*i - 4. Let o be d(4). Suppose -4*h = -7*h - o. Let p = h + 826\/9. Which is the nearest to 3\/2? (a) p (b) 5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 62 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1602975 divided by -33.\nAnswer: -48575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/32964 and -107\/6?\nAnswer: 32964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10860287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Suppose 2*l - z - 7 = 0. Suppose -l*y = -y. Round y to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2586.1 (b) 1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/(-12) - 2)\/((91\/(-42))\/(-13)). Solve -3*b - 2*i = 9, 5*b + 15 = -0*i + r*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 1345*m**2 + 13371*m + 28035.\nAnswer: (m + 3)*(m + 7)*(m + 1335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -0.3, -0.5, 2 in decreasing order.\nAnswer: 2, -0.06, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 - 25*o = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 + -188. Let t(o) be the first derivative of -4\/5*o**5 + 8\/3*o**3 - 2*o**2 + 2*o**n - 4*o - 2\/3*o**6 + 11. Find h, given that t(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -448, -1362, -3142, -6076, -10452?\nAnswer: -16558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21148 + 857?\nAnswer: -20291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 232 = 238 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -3*v**4\/4 - v - 3. Let r be f(-1). Differentiate 4 - 2*z**r + z**2 - 5 wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 33. Suppose -w + p*w = 12. Suppose 0 = f - 0*f - 3*x - 36, x = w*f - 76. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-18)*l**(-1\/23) assuming l is positive.\nAnswer: l**(-415\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -803323\/10872 + 1\/3624. Let z = 74 + r. Let i = 2618 - 2610. What is the third biggest value in z, 4, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1, 1\/2, 0.7 in decreasing order.\nAnswer: 1, 0.7, 1\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**2 - 6*q + 1\/6*q**3 + 1\/12*q**4 + 0. Does 14 divide h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -387.4 * -0.429\nAnswer: 166.1946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -3 - -12)*24\/18. Solve 91 + t = -23*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - (-2 - (-2 - -1)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-30) + 8\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 180\/(-27) - -8 - 33\/18. What is the second smallest value in -1\/4, 0, 164, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 - 3 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 5}. Give prob of sequence oo.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/25 of a day?\nAnswer: 27648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 3*j**2 - 2*j + 3. Calculate q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*c - 4*n, -204*n + 198*n + 2 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*v**2 - 15*v**2 + 16*v**2 to the form m*v**2 + u*v + j and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {c: 1, p: 1, f: 4, d: 2, t: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - x = 3*x + 25819, 25817 = -3*z - 2*x. What is z rounded to the nearest 100?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = 4*h + 4*c, h - 83 = 4*c + 5. Does 26 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016412107991 to 7 decimal places.\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {c: 1, q: 12, z: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 > 182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1550 is divided by 501.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 86*a + 89*a + 8 = 0, 0 = -2*f - 2*a - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -184.3. Let a = 60.4 + z. Sort a, -2, -5, 4 in descending order.\nAnswer: 4, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boyo when four letters picked without replacement from bboyobbbbb.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-59 - -57)*(-1)\/(-2)*-3. Let s be n\/15 - 1\/(-440)*-148. Which is the third biggest value? (a) s (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-146)\/27 + (10 - (-368)\/(-36)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16372 + 1688. Round d to the nearest one hundred.\nAnswer: 18100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145370079?\nAnswer: 3, 5384077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-3)\/12*4\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1960479*l**3 - 15092*l + 2?\nAnswer: -11762874*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31 (b) -2\/7 (c) -2\/15 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85.6 + -82.6. Sort s, -2\/61, 0.4, -5.\nAnswer: -5, -2\/61, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 3. Let z(w) = w - 1. Let y(m) = i(m) + 5*z(m). Let g be y(-7). Let l = g - 74. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 1, k: 6, y: 4, x: 4, b: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s - 4*g - 12, 0 = -2*g - 6. Let k be ((-270)\/(-3))\/(s + 1). Let i = -55 + k. Calculate the greatest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-38)\/(n*(n*n\/n**4)\/n*n*n**9*n) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 898*a + 9083. Give n(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -26*g + 113. Let t(j) = -5*j - 1. Calculate -f(k) + 5*t(k).\nAnswer: k - 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22021021020 (base 3) to base 13\nAnswer: -59112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + -3. Let u = 1543\/7 + -220. Let j = 6.2 - 6. Which is the nearest to -1? (a) j (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 603, 15, -0.4 in ascending order.\nAnswer: -0.4, 15, 603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 687505783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2074\/5643 + 2\/513. Which is bigger: u or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 27*s**2 - 8*s**2 - 5*s**2 - 4*s**2 - 11*s**2. Let b(z) = 99*z + 9. What is b(o(p))?\nAnswer: -99*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11028\/(-80)*(-10)\/4 + 9\/24. Are b and 341 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 2*n - 2*n**4 + 5*n**4 + n**4 - 4*n**4 + (-n - 2*n + 5*n)*(-5*n**3 + 11*n**3 - 8*n**3).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*m - m. Let p(t) = t**2 + 4*t - 12. Is p(m) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6670 + 7918 = 1052*c + 18980 + 16984 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 10. Let x be z(10). Suppose x = 2*t, 0*r - r + t = -3. Suppose u - r*u + 14 = 0. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 44. Let q be l(22). Solve q = 3*r + d - 7, 2*d = -5*r + 4*r + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5754400 or -5754388?\nAnswer: -5754388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12961*p**5 - 3*p - 148?\nAnswer: 259220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:47 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*9\/(-63))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-40 - (-15 + -29)) + (48 - (1 - -1))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.5 - -24.5. What is the fourth smallest value in -4, -1, 3\/2, z?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-1 - -8) + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) + -1*sqrt(84)*4)) + sqrt(84) + (-2*sqrt(84) - sqrt(84))*4)*4)\/(sqrt(120)\/(-1*sqrt(40)\/sqrt(4))*-3).\nAnswer: -28*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9214432 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -4*x + 2*p, -2*x - 3*p + 20 + 47 = 0. Let d = 57 - x. What is the highest common factor of d and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-75) - 1904\/(-1938)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 235 + 2?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -138, -472, -1126, -2208, -3826?\n\"Answer: -18*l**3 + 2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 2*i**2 + 4*i + 1. Let l = 32 + -75. Let n = 46 + l. What is r(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 33449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -292 and 237?\nAnswer: -69204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15549.94 rounded to the nearest 10?\nAnswer: -15550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 48.99033365.\nAnswer: 45.99033365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 1367*a - 1369*a. Sort 0, -0.1, -0.4, 7, a in increasing order.\nAnswer: a, -0.4, -0.1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 87*q**3 + 16 + 1589*q**3.\nAnswer: 1502*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -79*f**4\/4 + 71*f**2\/2 + 55. Find the second derivative of o(n) wrt n.\nAnswer: -474*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1010.2 + 4.780754291.\nAnswer: -1005.419245709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + n**4 + 4*n**3 - 42*n**2 + 49*n**2 to the form c*n**3 + u*n**4 + z + b*n + f*n**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.896 + 0.104. Let p = -3.8 + 4. Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 1)*(0 - 2*p**2 + 0) + (-317*p - 85*p + 27*p)*(7*p - p - 4*p).\nAnswer: -756*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15761768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -6*b**2 + 1. Let c = 78 + -66. Let u(y) = -7 - c + 19 + 3*y. Calculate f(u(v)).\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -63 + i**3 - 65 - 27*i + 51 - 30*i**2. Does 9 divide z(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 26*t - 1. Let i be d(15). Let v = i + -117. Suppose 0 = -7*m + 58 + v. Solve -3*n = 2*n + m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 14 = 3*l. Let n(w) = w + 13. Let t be n(0). Suppose 0*m + 4*m + 370 = 414. Solve -z = -2*p + t, -52 = -4*p + l*z - m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22924, -45848, -68772, -91696, -114620?\nAnswer: -137544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-2 + (-6*(sqrt(7) + -2) - sqrt(7)).\nAnswer: -27*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 12*t**2 - t + 24. Let m be s(-11). Let p = m + -161. Let o(y) = -y. Let h be o(8). Put -3, h, p in increasing order.\nAnswer: h, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*l**3 - 1)*(2*l**2 - 870*l + 14 + 870*l).\nAnswer: 10*l**5 + 70*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -5*g**4\/6 - 8*g**3\/3 + 405*g**2 + 2*g. Let p be (-7)\/((-21)\/6) - 0. Let l(y) = -4*y - 3. Determine p*u(m) - 11*l(m).\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/7993876 and -60\/77.\nAnswer: 55957132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = -919*w + 931*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 78, -1 in increasing order.\nAnswer: -1, 1\/6, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 26750*h**2 + 749*h - 4494. Let b(j) = -214*j**2 - 6*j + 36. Let p(q) = -749*b(q) - 6*l(q). Let r(w) = -2*w**2. Determine r(p(g)).\nAnswer: -91592*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 792 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/165334 and 14\/31795.\nAnswer: 826670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -28*b - 2217. What is r(-82)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, -2\/2147, 147\/4, 0.5, 4 in increasing order.\nAnswer: -2\/2147, 0.5, 6\/11, 4, 147\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.58 + 32.58. Which is the nearest to 5? (a) -1 (b) 22\/3 (c) -1\/6 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/((-423)\/24)*15\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = 5*x, -70 = 2*o - 7*o + 5*x. Let c = -13 + o. Let z be 1\/c + 15\/12. Do z and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 10*r**2 - 11*r - 9. Let d be z(-9). Let k = -7 + d. Suppose 0 = 5*w - 4*v - 121, 3*v = -3*w - k*w + 93. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857.8 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c - 63 = -41*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937940573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (1*sqrt(189)*3 - sqrt(189))\/(sqrt(36)\/(sqrt(108)\/sqrt(81))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5454 rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 5371?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.4 (c) 54 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 1)*(-83 - 2*a + 84 + 18*a) as m + r*a and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (315\/(-14))\/9*-2. Solve 1 = -4*q + 4*k + 9, -t*q - 40 = 5*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*sqrt(1260))\/(sqrt(4032) + sqrt(63)) + 1 + 5 + 5)**2.\nAnswer: 80*sqrt(5)\/3 + 18545\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/80 - (-13)\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t. Let z(a) = -32*a + 4962. Determine c(z(m)).\nAnswer: -64*m + 9924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 + -8 - (4 - 2 - -12)) + 13.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -8. Suppose -3*v + 7*v = -8, -r = b + 3*v. Suppose j + 8 = -5*h, -b*h - 8 = -h. Solve 4*u - 20 = 3*k, -j*u - 2*k = -k - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2 + 11. Calculate the least common multiple of 8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = 3*s - 10, 0 = -3*v + 4*s + 20. Suppose 0 = 3*k + v*x - 10, -3*x - 2 = -k - 3. Factor 0*n - 5\/3*n**4 - 1\/3*n**k + 4\/3*n**3 + 2\/3*n**5 + 0.\nAnswer: n**2*(n - 1)**2*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5138 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yecyeyece. What is prob of sequence ye?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*124\/(-3534)*2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 458916 and 5556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-85)\/34*((-10646)\/5 - -2). Solve 5276 = 7*v + a for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142511100?\nAnswer: 2, 3, 5, 475037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*u**4 + 5*u - 2 wrt u.\nAnswer: 1992*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5\/6 (b) -1\/4 (c) -4\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1332*y - 791*y + 51*y = 153328 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1032*x + 948*x + 37*x - 153*x in the form o*x + g and give o.\nAnswer: 1864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:02 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 - -186. What is the remainder when 82 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-9 + 11) - 1) + -19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2013314 (base 6) to base 3.\nAnswer: -11211211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {w: 8, r: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2632 and 1.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2 - 3 - 4*j - 1. Let z(c) = c + 5. Let q be -4 - -3*(-3 - -2). Let g be z(q). Calculate x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1385600 to the nearest ten thousand.\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 15288.27 months?\nAnswer: 12.740225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104940*h + 450 = -104990*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069 + -1962?\nAnswer: -1962.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (80 - -24)) + 69\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2553546 and 16.\nAnswer: 20428368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {h: 1, o: 4, a: 4, j: 7, u: 3}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.5, 3, 0, 2.81?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15669 + 19356?\nAnswer: 319c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myuyus. Give prob of picking 1 u, 2 s, and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**3 + 0 - 3 + 2. Is q(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10 + 10 + s. Let q be g(4). Is (2\/q)\/(2\/104) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172 - -172.00735. What is f rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 73. Let i = o - 63. Let u = i - -93.0000043. Round u to seven dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c = 59*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/237433819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -381, -25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-344)\/24)*3\/(-1). Let l(r) = 13*r + 31*r + 59*r - 17*r + d*r. Let b(g) = -2*g. What is b(l(c))?\nAnswer: -252*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sttktdr. Give prob of sequence ds.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/8 - 0)\/(100\/(-99)) and -73\/250.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5 + 7113*p**3 + p**2 - 417538*p.\nAnswer: 60*p**3 + 42678*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiysisaxbixssix. Give prob of sequence yxxx.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50972, -50983, -51008, -51053, -51124, -51227, -51368?\nAnswer: -51553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, b: 4, t: 7, p: 1}. What is prob of picking 2 t?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3113*l + 3814 with respect to l.\nAnswer: -3113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 285 + -282. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 46. Calculate the least common multiple of g and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2405\/26 + 1\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0391077 centimeters to nanometers.\nAnswer: 391077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than 7344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 9*s**2 + 8*s - 4. Let w be g(8). Let r = 1.9 - 2. Which is the closest to r? (a) 0 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 27 = -3*r, -3*y - 20 = -0*y - 2*r. Let b(q) = -5*q**2 - 6*q + 1. Let m(j) = -j**2 - j. Determine y*m(v) + b(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 380 and 20380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let a(t) = -12*t**2. Give a(q(z)).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 300, 1315, 3000, 5349, 8356, 12015, 16320, 21265?\n\"Answer: -j**3 + 341*j**2 - j - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.793349 milligrams in grams?\nAnswer: 0.006793349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 0 - 2 - -113. Suppose -x = 4*s + 2*b, -2*s - s - 4*b = 98. Let r = s - -38. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:45 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 641630 - 1621?\nAnswer: 640006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-3) - (-6 - -1). Suppose -x*a + 12 = -4*a. Solve 0 = -a*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24293 + 48594 - 688*x - 24301.\nAnswer: -688*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, 173, 612, 1257, 2126, 3237?\nAnswer: 4608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/10*(-140)\/56. Solve -14 = 2*w - u*z, 3*w = -0*z - 2*z + 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6788 and 4.\nAnswer: 6788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 821232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 5:17 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59945.23582 + -59990.23581961. Let f = 59 + -104. Let c = h - f. Round c to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 42 - (16 + 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6567511 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064983781.\nAnswer: 17, 239116693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 65. Let u = -13 + i. What is the closest to 7 in 0.1, u, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1417989 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -120020021 (base 3) to base 6\nAnswer: -123224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/10*10\/4. Let l be 24\/(f + -4)*-1. Let i be (-21)\/l - (-2)\/(-8). What is the closest to 2 in 1, 0.3, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**5 - 23562*t**4 + 45644970*t**3 + 2440226592*t**2 - 5017293861*t + 2531445858 = 0.\nAnswer: -54, 1, 3953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -62. Let s(m) be the first derivative of -m**4\/12 + m**3\/3 + 2*m**2 - 12*m + 7. Let z(l) be the first derivative of s(l). Determine z(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 16) to base 9\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -31. Let n(x) = 1 + 11 + 5*x**2 - x**r + 8*x**2 - 6*x**2 + 5*x. Let a be n(8). Is a <= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4593, 4552, 4483, 4392, 4285, 4168, 4047?\n\"Answer: d**3 - 20*d**2 + 12*d + 4600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-34014)\/(-39) - (-146)\/(-949) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.1. Let p = 68 - 53. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m**3 + 3*m**2 + 5*m - 6. Suppose 3*f = 2*q - 13, f - 3*q + 5 - 3 = 0. Let c(j) = -6*j**3 + 3*j**2 + 4*j - 5. Give f*i(a) + 6*c(a).\nAnswer: -a**3 + 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:27 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 10, 3, -26, -83, -174, -305?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*f**3\/3 - 496*f**2\/3 - 403*f\/3 + 10\/3 = 0. What is f?\nAnswer: -5, -1, 2\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -1\/3*i**4 + 2\/15*i**7 - 1\/5*i**5 + 2\/5*i**6 + 0 + 0*i**3 - 1\/14*i**8 + 0*i + i**2. Solve p(s) = 0 for s.\nAnswer: -1, -1\/3, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 37 (b) 4 (c) 3 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 8\/(5440\/139014582) + -1. Let m = 204436 - l. Let s = 3\/2114 + -83527\/16912. Calculate the common denominator of m and s.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 108*f**2 + 3888*f + 46656.\nAnswer: (f + 36)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-10))\/((-6)\/(-135)). Suppose 2*z = -0*z + q. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/12938626 and 44\/32346565.\nAnswer: 64693130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-9) - -2)\/((-40)\/80). Solve -12 + v*w**2 - 2\/3*w**3 + 2*w = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 14 + 12. Suppose b*w + 1 - 5 = 0. Let h be 38\/(-11) + 9 + -4 + 0. Is h at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -130. What is the closest to x in -2\/3, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3027*i - 46749 - 62498 + 137871 = -201428 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {q: 2, c: 14, p: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865*p - 47*p + 10*p.\nAnswer: 828*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.967 - -7.967. Sort 1, -3, -52, p, 0.2 in decreasing order.\nAnswer: 1, 0.2, -3, p, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-21)\/(-364)). Suppose -4*o = -f + g, 2*f + o + 19 = 44. Calculate the highest common divisor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 15*s**2 - 299*s - 17. What is z(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 19974742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4000)\/(-3150))\/(-5))\/((-10)\/(-35)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31926955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3130 - 3130.039175. Round o to 4 dps.\nAnswer: -0.0392","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 166 in descending order.\nAnswer: 166, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 10\/3*t**3 + 0*t**4 - 1\/4*t**5 + 1\/24*t**6 - 184*t**2 + 0*t + 0. What is k in b(k) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {d: 1, u: 1, n: 1, f: 1, b: 1, z: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -573 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 24*j**2 + 2*j - 58. Let g be i(24). Let q(a) = -a**3 - 10*a**2 - a + 1. Determine q(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 2393358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4\/5)\/j)\/(j*j\/j**14))**(3\/32)*(j**(2\/13)*j*j\/(j\/(j\/j**(-8)*j*j))*j)\/(j**1)**5 assuming j is positive.\nAnswer: j**(18949\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-19 + 4))*(-28)\/(-6). Let h be ((-8)\/6)\/(2\/(-18)). Calculate the greatest common divisor of y and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:56 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ff76 (base 16) to base 11.\nAnswer: 8a411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*x - 1559 + 1559 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-222)\/(-68) - (-3704)\/15742)\/(2\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 14*n**2 - 14*n - 9. Let k be d(-13). What is the third derivative of 28*y**k + 11*y**2 - 17*y**4 - 24*y**4 wrt y?\nAnswer: -312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*w - 1457*w = -5650*w - 69760 - 256127 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374483?\nAnswer: 374483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-79)\/(-16) + (-22 - -2 - -15). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 29 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.149 (b) -19 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n. Let c(x) be the third derivative of 3*x**4\/8 - 4*x**3\/3 - 25*x**2. Let u be c(13). Let v(k) = -52*k + u*k - 55*k. Give d(v(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-24)*-4*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 18. Let g = x - -9. Let d(v) be the second derivative of -v**4\/12 - v**3\/2 - 5*v**2\/2 + 7*v. What is d(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 1. Let m be j(1). Suppose 5 = -o + 4*q + 1, 3*q = 5*o - 31. Factor -5*f - 2*f + o*f**3 - m + 2*f**4 - 4*f**2 + 4*f**4 - f.\nAnswer: 2*(f - 1)*(f + 1)**2*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -2*d - 2*o + 63, 2*d + 3*o = 71. Suppose b + 4 = d. Suppose u - 5 = -2*n + 13, 0 = 5*u + 10. Calculate the greatest common factor of n and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/((-9)\/(-36)*-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b1a - -5800?\nAnswer: 28a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k**(-1\/4))**1\/((k*k\/((k\/(k\/k**1))\/k))\/k**(-1\/8)*k**(-1)\/(((k\/(k**(-2)\/k))\/k*k)\/k*k)) assuming k is positive.\nAnswer: k**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 3*s**5\/20 + 5*s**4\/2 - 2*s**3\/3 - 37*s**2\/2 + 61*s. Let r be i(-10). Solve -r*z - 3 = -6*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 3. Let a be k(-5). Let x = 66 + -77.4. Let t = x + 1.4. Are t and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5355, -11797, -18239, -24681, -31123?\n\"Answer: -6442*w + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 240 + -238.85. Round d to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.000878583 times 0.1\nAnswer: -0.0000878583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + (-10 - -13). Let r = -43 + 55. Suppose 2*m - 6*m - r = 0, 5*m - 57 = -z*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 7\/4*w**4 - 6*w**2 - 16*w + 0 - 6*w**3. Let i(t) = 0. Calculate t.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1077 - -1097. What is the highest common factor of 1040 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h + 80*h - 33*h - 33*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 602508*g**3*t**2 - 6*g**2 - 156*g*t**2 - 111*g wrt g?\nAnswer: 3615048*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -8c5?\nAnswer: 8c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 125468, 125464, 125454, 125438, 125416?\n\"Answer: -3*q**2 + 5*q + 125466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*x - 5 - 3 + 9 - 74*x.\nAnswer: 359*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -298 - -935. Suppose 53 + y = 5*z - 5*p, -4*z - 2*p + 582 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320 (base 5) to base 8.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95808 by 126.\nAnswer: 15968\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + w**2 - w + 54. Determine m(0).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g. Let c(q) = 6*q - 1. Let a(w) = -2*c(w) + 3*v(w). Let h(i) = -8*i - 6. Calculate 14*a(r) + 5*h(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/1503 + -175835\/6012. Let s = d - -29. Let y = 9 - 8.6. Which is the smallest value? (a) y (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (920896\/8 - 1) + (3 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 38, 0, -50?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -128.1, -5, -130?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 1\/10*f**5 - 28\/3*f**3 + 1 + 0*f**4 + 3*f + 0*f**2 + 1\/5*f**6. Find the second derivative of l(p) wrt p.\nAnswer: 72*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007330532 to 7 dps.\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/18)\/((-2)\/(-9)). Put 2, x, -1 in decreasing order.\nAnswer: 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5471635?\nAnswer: 5, 13, 84179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -559.62 greater than or equal to -1\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -664*s + 678*s. Let n(r) be the second derivative of -3*r + 0*r**4 + 1\/120*r**6 + 0*r**3 + s*r**2 - 1\/80*r**5 + 0. Factor n(w).\nAnswer: w**3*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/5, 0.04, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 132 = -4*t, 0 = 2*v + t + 2*t - 62. Let k = v + -32. Let r = 51.1 + -51. Sort r, -6, k in ascending order.\nAnswer: -6, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(367*p**2 + 376*p**2 - 766*p**2 - 2*p).\nAnswer: 46*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8437, -8431, -8419, -8401, -8377, -8347?\nAnswer: -8311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.26+-49549192\nAnswer: -49549189.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**2 - j - 7. Let z(v) = 7*v**2 - v - 6. Calculate -5*n(u) + 6*z(u).\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 272533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 5*t**2 - 7*t - 20. Let y be f(-5). Let w(i) = 2*i - 7. Let q be w(6). Calculate the greatest common divisor of y and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147318292?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -2 - 630\/(-56))*-4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 14203797?\nAnswer: 14203797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5011432 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2)*-4)\/(126582\/(-1785) + 71)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-14)*v*v**(1\/13)*v*v*(v**12)**(-9\/7) assuming v is positive.\nAnswer: v**(-2307\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -1083*p + 1081*p - 8, -2*v + 5*p = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 150403428 divided by 4\nAnswer: 37600857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 1743\/128?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82.98 - -83. Let r = 1.8 + -2. Which is the smallest value? (a) x (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 375723*h**4 - h**3 + 6*h**2 + 7117 wrt h?\nAnswer: 9017352*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -27255.\nAnswer: -272550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/10)\/(-8 + 210\/25). Suppose 2526 = 8*o - 3*o - x*y, -o + y + 505 = 0. What are the prime factors of o?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*x - 46365 + 23345 + 23380 + 6*x**3 - 15*x**2 = 0 for x.\nAnswer: -10, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/22 in -0.2, 5, -2\/3, 4\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2079, 2288, 2509, 2742, 2987, 3244?\nAnswer: 3513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6265 less than -6291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 4*i + 199. Let v = 439\/6 + i. Let q = -0.9 - -0.9. Which is the second biggest value? (a) -4 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 208489 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*b - 4*u, 0 = -0*b + b + 5*u - 14. Let x be ((-18)\/2 - 3)*(1 + -3). Let z be (b\/4)\/((-14)\/x). What is the biggest value in -4, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 86?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-578)\/19074)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23069929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(30)\/sqrt(32))\/(sqrt(3) + -2*sqrt(243)).\nAnswer: 3*sqrt(5)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -992 + 992 + 4 + (40 - (-6 - -4))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6278983333 to the nearest integer?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 5*c**4 - 3*c**4)*(2 - 11 - 6)*(-2*c + 4*c + 0*c) + 0*c**5 - c**5 + 2*c**5 - 2*c**5 - c + c.\nAnswer: -31*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 4:15 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i + 5*s - 189 = 0, 2*s = -2*i + 126. Let u = 65 - i. Solve 2*n - 17 = 3*k, 13 + 2 = 5*n - u*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -51. Let y = -52.0000106 + i. What is y rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-340)\/(-255))\/(-1 + (-26)\/(-18)) + -1. Solve 147*t = 144*t - 2*b + 10, -l*t + 4*b = 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 35303 + 107743. What are the prime factors of b?\nAnswer: 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 115. Calculate the remainder when 123\/3 + 2 + -2 is divided by b(-46).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {j: 4, d: 4, e: 4, k: 1, u: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*a = 3*w - 30, 3*a = -3*w + 42. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13407\/1550 - -270\/31. Let h(v) be the second derivative of 0 + 8\/15*v**3 - 4\/5*v**2 - y*v**5 - 1\/30*v**4 - 3*v. Suppose h(z) = 0. Calculate z.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623.0672 meters to millimeters.\nAnswer: 623067.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 5. Let j = -1.1 - -1.1. Which is the closest to 0.1? (a) x (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*k + 61*k - 108*k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 + 8*x - 1. Let m(s) = -s**3 - s**2 - s + 1. Let n(h) = 2*m(h) + z(h). Let t be n(4). What is the units digit of (-3)\/t - (-668)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-360)\/12)*0. Let f(d) be the first derivative of 0*d**2 - 2\/5*d**5 - 16 + 0*d**3 + l*d**4 + 12*d. Differentiate f(v) wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-26231.\nAnswer: -78693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100230 (base 4) to base 10\nAnswer: -1068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -54, -157, -310, -513, -766?\n\"Answer: -25*i**2 + 22*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1428, -3939, -7512, -12147, -17844, -24603, -32424?\nAnswer: -41307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -8*q + 48 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-15))\/((-27)\/(-18)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*v - 174*v = -12. Let j(o) = -o**v + 4*o**2 - 10*o - 4*o + 14*o - o. Calculate j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13935742*c**4 + 12184654*c**3 - 1677744*c**2 + 72320*c - 1024 = 0. What is c?\nAnswer: -1, 8\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110001000001 + -10000110011?\nAnswer: 11100000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-15)\/6)\/(20\/8)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 19. Let w(t) = 8*t + 77. Give -9*m(n) - 2*w(n).\nAnswer: 2*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*l**2*x + 29*l**2 - 701905*l*x + 2*x - 143095 wrt x?\nAnswer: -12*l**2 - 701905*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 4*o + 2*o. Let r(y) = 1907 - 7*y - 979 - 928. Calculate f(r(a)).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 14. Let g be c(9). Suppose g*m - 5 - 3 = -4*h, -5*m + 12 = 4*h. Solve 5*x - m*w = 0, -3*w - 13 - 14 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v + 385. Is 6 a factor of u(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.2 + 17. Let d = -0.2 - k. Let w = 238 - 3572\/15. Which is the nearest to 0? (a) d (b) -1\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 14 + 139. Let h = s + -95. Let d = h - -165. Calculate the remainder when d is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709, -4257, -10171, -18451, -29097, -42109, -57487?\nAnswer: -75231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 115.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 + (1 - (-1 - -4)) - (-207 - -270)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 4\/3, -4, -808, 4, -3\/5, -2\/97?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 + 2532*m\/5 + 15184\/15.\nAnswer: 2*(m + 2)*(m + 3796)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22\/(-44)*(0 + -46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53\/3*k + 28\/3*k**2 + 26\/3 - 1\/3*k**3 = 0.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10ff (base 16) to base 5\nAnswer: 114401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 531 (c) -7 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 819 and -43354.\nAnswer: -42535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44814484.\nAnswer: 2, 11, 13, 78347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-161)\/(-138))\/((-2)\/6*-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 + (2 - 4). Let p = 0 - b. Differentiate 0*y**p - y**3 - 4 + 2*y**3 with respect to y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7307490057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*a**3 - 111*a**4 - 64*a + 87*a**3 wrt a?\nAnswer: -1332*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, i: 3, y: 6, n: 2, o: 6}. Give prob of sequence iyn.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 > 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - o = 557, -4*t + 0*t = -4*o - 732. Let n(m) = 2*m**3 - 43*m**2 + 152*m + 28. Let b be n(17). What is the greatest common factor of t and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + sqrt(2299))**2 + ((5*(-1 + sqrt(2299) - sqrt(2299)))**2 - sqrt(2299)).\nAnswer: 121*sqrt(19) + 2360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/12200700 and 88\/136575.\nAnswer: 36602100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 1.0183?\nAnswer: 1.2183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l + 0*l)*(39 - 9*l - 39 + (-10*l + l - l + (0*l + 0*l + 4*l)*(1 + 0 - 3) + 6*l - 3*l - 2*l)*(-5 + 3 + 3)*(-1 + 2 + 0)).\nAnswer: -52*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1411 - 1411.0002149. What is i rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 31 - 60)*(-19*l - l**2 - 3*l**2 + 16*l).\nAnswer: 4*l**3 + 119*l**2 + 87*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -57. Suppose j = -p - 5*r + 5, -4*p + 7*r - 2*r = 5. Find b such that p*b + 2\/5*b**2 - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-7)\/364*(-18)\/12)\/1.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.37477 or 824?\nAnswer: 1.37477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -5 - (-53 - -68)) + (23 - 20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 1590 = -0*v. List the prime factors of v.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58308371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020577178 to the power of 1\/2, to the nearest integer?\nAnswer: 70856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**7\/2100 + t**5\/100 - t**4\/30 + 2*t**3\/3 - 3*t**2. Let o(q) be the first derivative of k(q). Factor o(w).\nAnswer: -2*(w - 1)**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhuhh. Give prob of picking 2 h.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 85 - 73. Let f(i) be the second derivative of 0 - 2*i - 5\/12*i**4 + 0*i**2 - 2\/15*i**v + 0*i**3 + 0*i**5. Find the third derivative of f(y) wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -34\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92667426?\nAnswer: 2, 3, 53, 311, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -26, 4 in ascending order.\nAnswer: -26, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 28648327?\nAnswer: 57296654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 4, w: 1, c: 1, a: 1}. What is prob of picking 1 c and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2394 = -3*k - 2*j, -2*j + 798 = -k. Let t be (-3 + 5)\/(5 - k\/(-162)). Calculate the highest common divisor of t and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 20*p**2 - 62*p**3 + 16*p**2 + 7 + 58*p**3 + 4*p to the form i*p**2 + v*p + o*p**3 + m and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 93 = -2*i + 129, 3*f = -3*i + 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366397 is divided by 91105.\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/12)\/((-7332)\/(-5499)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 - 3*s**2 + 5*s**2 + (4*s + 0*s - 3*s)*(4*s + 2*s - 5*s) + 3*s**2 + 2*s**2 + 0*s**2 - 9*s**2 + 8*s**2 + 2*s**2 + (s + s + 0*s)*(-2*s - 3*s + 6*s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - 3*l**2 + 2*l - 1. Let z(x) = -x**2 + x - 1. What is -q(c) + 2*z(c)?\nAnswer: -4*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -32. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f + 11. Let k be m(-8). Let o = -3 + 4. Is k*(0 - o) + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 1\/(21\/23). Let m be 1\/(-2) - (-29)\/(-6). Let o = -5 - m. What is the third biggest value in c, 2\/3, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.3 + 3.7. Let u = 51 - 23.4. Let p = c - u. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33704 (base 15) to base 11.\nAnswer: -101999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(2\/3))\/((d*d*(d\/(d**4\/d))\/d)\/d))**(2\/119))**(3\/13))**17 assuming d is positive.\nAnswer: d**(22\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*i + i. What is the remainder when 7 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -19. Solve 2*a = -h*q - 17, 5*q + 5*a + 16 + 4 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + q - 14437 = 0, 2*q = -3*s + 11460 - 2809. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 3. Let n be j(3). Let a(b) be the first derivative of -1\/3*b**3 + n*b - 1 + 3\/2*b**2. Find the second derivative of a(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55\/2 of a kilogram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1223, -4878, -10977, -19526, -30531, -43998, -59933?\nAnswer: -78342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-5 - -3) - 3. Suppose j*z + 4 = 2*z. Put -4, -3, z in ascending order.\nAnswer: -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let m = y - 3. Let f be (m\/12)\/((-2)\/8). Which is smaller: f or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 - ((0 - -1) + 0) and -5 + (-70)\/(-14) + 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316017062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**2*p + j**2*s**2 - 1478404*j**2*s + 49*j*p - j*s**2 + 2*j*s - 2*p*s**2 + 2*p*s - 818*s wrt j.\nAnswer: -6*p + 2*s**2 - 2956808*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195243 = -9*f - 195108 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:38 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 110\/3. Let q = -9.5 - -9. Which is the nearest to -4? (a) 3\/4 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -7, 2\/17, 8\/3, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let q(f) = 466*f - 3. What is d(q(k))?\nAnswer: -932*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -7\/20*d**5 + 64*d + 43\/6*d**4 + 36*d**2 + 0 - 46*d**3. Factor y(x).\nAnswer: -(x - 6)**2*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -40. Which is smaller: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 16505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9977*h - 8560*h + 25 - 16.\nAnswer: 1417*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = u + 3*v, 3*v - 4*v = 3*u + 5. Let b(q) = -28 + 11*q - 4*q - q - 39. Let j be b(10). Sort j, -4, u, 2.\nAnswer: j, -4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -72 + 46 + (3 - (-63 - -3)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22654, -22641, -22628, -22615, -22602?\n\"Answer: 13*x - 22667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**2)*m**(-2\/11)*m**5*m*m**(-4\/3)\/m*m assuming m is positive.\nAnswer: m**(214\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.1. Let k = 9600 + -9599. What is the fourth smallest value in 0.4, -2, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9039, 18285, 28035, 38541, 50055, 62829?\nAnswer: 77115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*j = 0, -j - 8 = m - 2*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 4*q**2 + 389*q - 1104.\nAnswer: -(q - 16)*(q - 3)*(q + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -6\/5, -626?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 31*p - 32*p - 1, -81*o = -31*p + 36*p + 61 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 93*d**2 + 680*d - 2. Calculate x(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14335564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let z be 20\/(-6) + 3\/9. Let f = -1.302 - 0.698. Which is the closest to z? (a) p (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbbsbv. What is prob of picking 2 q, 1 b, and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/37817 and -24\/2587.\nAnswer: 7525583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6956692 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (12 - 3297\/819).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4 + 6. Suppose -3*i - q*i = 0. Suppose -2*g - 11 = -3*c, 4*g + 12 = 8*c - 4*c. Solve -5*x = -a + 5*a, g*a + 3*x + 2 = i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*(-4)\/(-10)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 2. Let n be y(3). Suppose 0*o - 125 = -n*o. Calculate the highest common factor of 25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5004 by 3.\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23104695, -46209387, -69314079?\n\"Answer: -23104692*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009246734 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -12, 39 = o - 3*o - 3*y. Suppose -2*r = 7 + 11. Let a = r - o. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzzzozqzozqzhhohz. What is prob of sequence hh?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.2 (c) -2\/21 (d) -475\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**2 + 3*d**4 - 7*d**2 + (-2*d**3 - 5*d**3 + 3*d**3)*(d - 2*d + 2*d) - 3*d**4 + 3*d**4 + 3*d**4 + d**4 - 3*d**4 - 2*d**4.\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2926*r**2 + 2554*r**3 + 236*r**3 + 2928*r**2 - r to the form x + w*r**2 + c*r**3 + o*r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**4\/24 + z**2. Suppose -5*v - 25 = 3*h, -600*v + 597*v - 15 = -h. Let w(p) = 3*p + 1. Calculate v*f(n) - w(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2476*c - 2405*c + 355 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/60 - (10\/(-3) - 2). What is the nearest to 4 in z, -0.2, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 574\/35 - 2\/5. Suppose 5*a - f = 54. 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: Convert 1512.771 centuries to months.\nAnswer: 1815325.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 0 + 2 - 2 - 5*f. Let t(u) = -3*u**2. What is t(s(a))?\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -98, 1, 4 in increasing order.\nAnswer: -98, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-6) + 91\/42. Suppose -53 = -c*w - 1. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -125*s**2 + 2. Let c(l) = -4*l - 72. Let d(q) = 8*q + 135. Let t(y) = 15*c(y) + 8*d(y). Give t(r(p)).\nAnswer: -500*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5906 + 8727. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 512.00069 - 512. Round j to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {k: 1, j: 1, i: 2, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6 + g - 31 + 9 + 11. Calculate the remainder when 30 is divided by d(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0)*(1532113*p**2 - 1532113*p**2 + 3*p - 706*p**3) in the form l*p**2 + b + v*p**3 + m*p and give v.\nAnswer: 1412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 362*s - 216*s + 10*s + 169*s + 329*s as h*s + g and give h.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 85*a**2 - 431*a - 393. Is 15 a factor of t(-89)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 1. Let d(c) = 10*c**2 - 20. What is -d(i) + 20*x(i)?\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3\/2 - 397*x**2 - 157609*x\/2 = 0.\nAnswer: -397, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*s*y**3 + 18*j**3 - 2*j**2*s*y**3 + j*s*y**2 - 2*j*y**3 + 170*s*y**3 wrt j.\nAnswer: 12*j*s*y**3 + 108*j - 4*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 417404535\/1300949 - 4\/100073. Let p = o - 321. Let z = 0 - -1. Which is smaller: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -105758\nAnswer: 1\/105758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -184, 1 in descending order.\nAnswer: 1, 0, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1096.9\nAnswer: -3290.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -77. Let l = 26 - o. Let k be (9\/18)\/(1\/(-2)). What is the closest to k in 0.2, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91519593?\nAnswer: 3, 11, 2773321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**3\/7 - 418748*n**2\/21 - 2435368576*n\/21 + 541213696\/21.\nAnswer: -2*(n + 11632)**2*(9*n - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97244*a**4 - 492*a**2 - 15?\nAnswer: 2333856*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7221 and 108083.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 40559?\nAnswer: -25\/40559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 20ec5e?\nAnswer: 20ec60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 2709618?\nAnswer: 25\/2709618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 14*h - 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = 2. Is 55 + m + -5 + 2 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 231*r**2 - 5*r + 20. Let i(f) = -f**2 - f + 4. Let c(p) = -5*i(p) + s(p). Let w(a) = 2*a**2. Calculate w(c(k)).\nAnswer: 111392*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bbc (base 14) in base 8?\nAnswer: -11712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**10*(f*f\/((f**19*f)\/f)*f*f)\/f assuming f is positive.\nAnswer: f**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(1*3\/(-6)). Let j = 15 + i. Suppose -4*q - x + 467 = 2*x, j*q = 4*x + 607. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1646, 1649, 1654, 1661, 1670, 1681?\n\"Answer: l**2 + 1645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 12*j**2 - 17*j + 17. What are the prime factors of p(-13)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i + 10. Let p(g) = -g**2 + 2*g + 21. Let a be p(6). Put i, 5, -7, a in ascending order.\nAnswer: -7, a, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y + 4. Let t(a) = -9*a + 3. Let b(w) = -5*j(w) + 7*t(w). Let r be b(11). Factor -r - 53*l**2 + 35*l + 14*l**3 + 34 - 17.\nAnswer: (l - 3)*(2*l - 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrjrrjrrr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, 1, -11 in decreasing order.\nAnswer: 5, 1, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*x**3\/3 + 729656*x**2\/3 + 729650*x\/3 + 60804 = 0. Calculate x.\nAnswer: -91206, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.99 + -0.01. Let n = 4 + l. Let y be ((-3)\/18)\/((-68)\/(-153)). Which is the closest to -0.4? (a) y (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.257 to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1540634 to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -60\/11 (b) 1 (c) 4.75 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v + 16. Let s be 2\/2 + (0 - v). Let c = s + 3. What is the lowest common multiple of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1673, -6683, -15035, -26729, -41765, -60143, -81863?\n\"Answer: -1671*q**2 + 3*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1433, -1474, -1521, -1568, -1609, -1638?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let y(s) be the third derivative of s**6\/40 - s**5\/30 - s**4\/24 - s**3\/3 + 2*s**2. Is y(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 8, 1, -5 in ascending order.\nAnswer: -5, -3, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1624 - -2367. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 5) in base 13?\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20450556 and 567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5800 + 9911. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95200 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4183\/355 + -58\/71. Calculate the common denominator of v and ((-57)\/(-15))\/((-2)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3\/5 + 188344*h**2\/5 + 38671556*h\/5 + 397879936 = 0 for h.\nAnswer: -46880, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)\/sqrt(4)*6 - (sqrt(171)*3)\/sqrt(9)) + -6*(sqrt(1216) - (sqrt(1216) + -1)*2))*-5)**2.\nAnswer: -30600*sqrt(19) + 1239075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 12*y**2 - 5. Calculate w(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144182442?\nAnswer: 2, 13, 43, 1023419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512085.\nAnswer: 5, 302417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/624 and 133\/702?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2447\/5 + 493. Let z = -2559 + 2569. Factor -h - 8\/5*c**3 - 84\/5*c - z*c**2.\nAnswer: -2*(c + 3)**2*(4*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 3*b)*(-2 + b + 2) + 10512 + 19*b**2 - 10561 + 18*b**2.\nAnswer: 36*b**2 - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 231*p**2 - 468*p**2 + 232*p**2)*(0*p**3 - 3*p**3 + p**3) - 46*p**2 + 3 - 3*p**5 - 2*p**4 + 46*p**2 + (-3*p**4 + 3*p**4 + p**4)*(-p + 0*p + 3*p).\nAnswer: 9*p**5 + 10*p**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, c: 5, r: 1, n: 1}. Give prob of picking 1 r and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkkttkt. Give prob of picking 3 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24658.2 times -4?\nAnswer: -98632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i + m, 5*i - 4*m + m = 10. Sort -5\/4, i, 0.4, -1\/7 in increasing order.\nAnswer: -5\/4, -1\/7, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 21*c**2 + 0*c**4 + 0 + 3\/80*c**5 - 1\/2*c**3 + 0*c - 1\/160*c**6. What is j in v(j) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.807315 plus -0.3?\nAnswer: -59.107315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28)\/sqrt(100).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 less than 0.276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 + -4.8. Let y be (6\/26)\/((-3)\/2). Sort -2\/3, n, y.\nAnswer: -2\/3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 = 12*u - 2266. Suppose 5*f + u - 180 = 0. Solve 0 = 6*a - a - f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 3. Let i be g(4). Let f = 2.2146 + -0.2146. What is the second biggest value in f, -4, 2\/5, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*y - 3*h - 9, y = -3*h - 19. Let a = y - -5. Find the common denominator of 75\/2 and (8\/24)\/(a\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:59 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6399\/(-54))\/(-237)*(16 + 2\/(-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1072.99998828 + -1073. Round d to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/91 and 2\/1027?\nAnswer: 7189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29759 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r + 44*r = -21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 53.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-100*t + 130*t + 6*t)*(-t - 5*t + 2*t) in the form o*t + r*t**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 96 = 23*f - 200 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/311 bigger than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 22, -5, -1 in descending order.\nAnswer: 22, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 = -3. Suppose f*g + 2*g = 20. Let i = g + -5. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*l**3 + 0 + 3584\/5*l + 716*l**2.\nAnswer: -4*l*(l - 896)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23964 - -16258. List the prime factors of r.\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 5*w - 9. Let a be x(6). Let z(n) = 2*n + 34. Let u be z(a). Let g(m) = 69*m + 13. Is g(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 21. Let h(f) = -3. Let t(c) = 15*h(c) + 2*y(c). Let z(v) = v - 5. Let w(a) = -5*t(a) + 3*z(a). Let x(b) = -3*b. Give w(x(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19642 - 3?\nAnswer: 1963c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4074640 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 (-15)\/(-18)*(-4272)\/890?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 148. Let s be c(-16). Suppose 3*z - 636 = -3*x - s, 5*x - 4*z - 858 = 0. Sort 1, x, 5 in descending order.\nAnswer: x, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 512.\nAnswer: -5\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.185975 seconds in days?\nAnswer: 0.0028262265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = 5*o. Let s(c) = c**3 + 3*c**2 - 5*c - 5. Let n be s(-4). Which is bigger: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -106. Let t(y) = -21 + 59 + y**3 - 23 + i*y**2 - 13. Let c(k) = -k**3 - 3*k**2 + k - 3. What is 2*c(l) + 3*t(l)?\nAnswer: l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 25610*m**3 + 0*m + 25571*m**3 - m.\nAnswer: -39*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(2\/43))*p)\/p*p*p**2)\/(p**(2\/7)*p\/(p\/p**(-2\/55))) assuming p is positive.\nAnswer: p**(46307\/16555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32317570 and 0.3.\nAnswer: -32317569.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*a - 296, 0 = -v - 3*a + 59 + 21. Let u = -62 + v. Let j = 91 + u. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4 (c) 299234 (d) -27\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 8*k + 8. Let m(j) = j**2 + 9*j - 9. Let z(t) = 3*m(t) + 4*r(t). Let n = -20 + 16. Determine z(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-65)\/(-18)*8655\/1850. Let j = -16\/111 + d. What is the common denominator of j and -41\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85559323 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4605485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 6, 3\/7, -0.2, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 158 + 67)*(-2*w + 0*w + 0*w) + 4*w + w - 3 - 4*w.\nAnswer: -393*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 36. Suppose k = 7*m - 6*m - 2. Solve 3*p - 8 = -c, -4*c - m*p = -0*p - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78987.9813 - 79012. Let j = r + 1.0111. Let t = 23 + j. What is t rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 3*j + 64, 5*a + j - 105 = -25 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 17421*r - 17403*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**4 - 16*q**3 + 13*q**2 = 0.\nAnswer: 0, 1, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 136290 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1169 and 0.29376?\nAnswer: 0.17686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17433037, 17432970, 17432903, 17432836?\n\"Answer: -67*j + 17433104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3016 + 3016 - 1394*h**2 as z*h**2 + o*h + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (-9 - -8 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180854 + 180853. Let i(z) = -5. Let q(l) be the second derivative of l**4\/12 - l**2\/2 - l. Give b*i(o) + 5*q(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 108 = -50*l + 266 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110001001 - -1?\nAnswer: 10000110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*v - 7*h + 56, 0 = 4*v + 3*h - 49. Solve -f + 3*g = 2*g + 6, 5*f + 5*g - v = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 21 + -59 + 19 + 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - w = -33624, 0 = -4*j - 2*w + 3*w + 33632. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-56)\/(-10) - 6)\/(1\/(-5)). Solve -2 - 2 = c*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368438?\nAnswer: 2, 3, 79, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 8 + 8)*(5*p**2 - 2*p**2 - 4*p**2) in the form g*p**2 + n + f*p and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*u - 3*y, 3*u + 4*y = -0*u + 22. Solve t + 2 + 2 = 2*a, -3*t - a = -u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(81)\/sqrt(3))\/(sqrt(72)\/(sqrt(8)*-2)))**2.\nAnswer: 12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 5*d**3\/3 + 106. Let t(f) = -41*f**2. Calculate t(p(o)).\nAnswer: -1025*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let b be g(-2). What is the highest common divisor of 10 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/330)\/((-2)\/(-12)). Let c = -29\/55 + w. Let d = c - -11\/10. What is the second biggest value in 4, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 118 - 33 = 3*d, 2*d - 3*r - 65 = 0. What is the lowest common multiple of 16 and (6090\/d - (-4)\/10) + 4?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-21)\/(-70))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*d\/(d*d\/(d*d*d**(-3)\/d))*d)\/d)\/(d*d**(-2\/25)))\/(d**(-1)\/d)**(-11))**(8\/7) assuming d is positive.\nAnswer: d**(-4784\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0 - 11\/4*x - 13\/8*x**2 - 1\/8*x**3 = 0.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268, 304, 342, 382, 424?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/205 - 227\/2255. What is the nearest to s in 2, -3, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 8. Suppose 29 - 9 = m*i. Do i and 4 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t + 30 = -97*t + 122. What is the lowest common multiple of 22790 and t?\nAnswer: 45580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2\/597, 1, -0.4 in descending order.\nAnswer: 1, -2\/597, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 71 - 2252 + 9*f - 3*f - 7*f in the form a + o*f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 616050751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqggggq. What is prob of sequence qq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517440 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14065*k + 5 - 2 - 7018*k - 7034*k - 2.\nAnswer: 13*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*u + 3)*(-10*u**4 + 17*u**4 + 11*u**4 + (1 + 1 + 0)*(3*u**4 + 0*u**4 - 5*u**4)).\nAnswer: -28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/(112\/(-378)*-3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmmkmqwowmk. Give prob of picking 1 o and 1 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45235 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -7, -1\/6, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -217, -870, -1959, -3484, -5445, -7842?\n\"Answer: -218*q**2 + q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.526219+-689\nAnswer: -689.526219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kriokr. Give prob of sequence rori.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(3)*-2 + sqrt(3) + -3)**2.\nAnswer: 66*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 2. Let j = c + 9. Suppose 83 = j*t - 173. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 330 + 1713 = 0. Let a = w + -1366. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*b = 85*b + 4, 3*z - 3*b - 15 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0628 * 603.\nAnswer: 37.8684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/4 + o**3 + 15*o**2\/4 - 29*o\/2 + 10 = 0.\nAnswer: -4, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 + 33*r**2 + 63*r - 17. Let z be s(-8). Solve z = 28*i - 57 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(sqrt(153)*1 + sqrt(153) - sqrt(153)) - sqrt(153) - sqrt(153) - 4*-1*sqrt(153))\/(sqrt(27)\/(sqrt(18)\/sqrt(864))).\nAnswer: -4 - sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 385645 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, u: 3, k: 1, b: 1, t: 3}. Give prob of picking 2 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4645914 by 36582.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4\/2 + 70*p**3 - 305*p**2 + 410*p - 345\/2 = 0?\nAnswer: 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -19*k - 1232. What is m(-81)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 2875 - ((-6 - -2) + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419876 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2, 1\/36, -3.695?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548) + sqrt(2548)*2 + sqrt(2548) + sqrt(52))\/sqrt(4) - (1 + sqrt(13) + sqrt(117)\/(sqrt(9) + sqrt(9) + sqrt(27)\/sqrt(3))).\nAnswer: -1 + 83*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109541 + 109541 - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 5. Let k be p(-3). Let b(i) = 2*i - 27. Let w be b(k). What is the closest to 0 in -5, -0.06, w?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -41, 2 in descending order.\nAnswer: 2, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 498?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 6*p**2 + 7*p + 6. Suppose 0*j - 6*j = 30. Let r be m(j). Let i(x) = x**3 + 4*x + 3. Let w(q) = 2 - 3 - 2*q + q. Determine r*w(f) - i(f).\nAnswer: -f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**3\/6 + j**2. Let n(k) = 4*k + k + 1 - 6*k. Let q be n(2). Let c(u) = u - 3. Give q*c(a) + 4*h(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 632 = -17*c. Let u = 8 - 5. Suppose 0 = t + u*g - c, -4*t + 730 = 2*g + 88. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2910 is divided by 791?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/253 and (-6 + 31526\/5313)*3?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*(0 + sqrt(4800) + 0))**2*-4 + -4.\nAnswer: -4320004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*m**2 - 7*m + m + 3*m.\nAnswer: -507*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09635665555 + -0.0705398365. Let k = b + 215.97418407095. Let r = 216 - k. What is r rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, 1\/17, -0.3, -1.5, -1510?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1029, 6036, 18925, 43632, 84093, 144244, 228021?\n\"Answer: 656*f**3 + 5*f**2 + 400*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002373 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0.5, -205, -2\/3, -3.1.\nAnswer: -205, -3.1, -1, -2\/3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**7\/840 + i**6\/80 + i**5\/20 + 7*i**2. Let o(t) be the third derivative of z(t). Let d(m) = 9*m + 13. Give -5*d(b) + 7*o(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1220*l*m**3 + 3*l*m**2 + 17*l*m - 279*l + 3*m**3 + m wrt m.\nAnswer: 7320*l*m + 6*l + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 13, -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-81))\/(10\/(-45)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 48.41. Let a = 5.41 + r. What is the nearest to 1 in a, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*k + 7954 = 7376 - 19393 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*k**5*r**2 - 22*k**2*r**2 + k*r**2 - 3*k*r + 58*r**2 wrt k.\nAnswer: 1720*k**3*r**2 - 44*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25346125027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)\/(x\/(x**9\/x))*(((x\/(((x\/(x*x*x**(1\/9)))\/x)\/x))\/x*x)\/x)\/x*x**(-9))**(-41\/5) assuming x is positive.\nAnswer: x**(2911\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -2894321?\nAnswer: 2894320.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -374 != -369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -15 (b) 0.3 (c) -1\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -72, -127, -200, -291, -400?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 59 = -52. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 21.01.\nAnswer: -4.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57178, 57172, 57162, 57148, 57130, 57108, 57082?\nAnswer: 57052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -22, 0.2, 1, 3, -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4 + 84*m**3 + 693*m**2 + 1446*m + 840 = 0.\nAnswer: -4, -2, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -5\/6*d**3 - 2*d**2 - 2*d - 1\/12*d**4 + 0. Factor h(r).\nAnswer: -(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47326.\nAnswer: 2, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -14 + 4 + 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 18.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 15*t - 6. Let u(q) = q + 1. What is n(p) + 5*u(p)?\nAnswer: 20*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*(-20)\/80*-16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 - 9. Let m(r) = -r**2 + 1. Let q(f) = 2*g(f) + 18*m(f). Let l(i) be the first derivative of -5*i**3\/3 - 1. What is q(l(w))?\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5061.723ml?\nAnswer: 5.061723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*l - 4*l - 7*l - 4)*(3*l**2 + 208*l**2 - 43*l**2 + (5 + 2*l - 5)*(0*l - l + 0*l) - 2*l**2 + 0*l + 0*l) as z*l**2 + t*l + o*l**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2)\/((-1)\/(-3)). Suppose -3*m + 45 + 9 = 0. Calculate the remainder when 26 is divided by (b\/6)\/((-1)\/m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1 + -6 - (-25 - -31))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 22 = m + 4*c, -5*c = 4*m - 30. Suppose -2*x + 14*x = 0. Suppose x = 5*j - 10 - m. Solve 3*v - 1 = j*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/412599 and 89\/600144.\nAnswer: 6601584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, m: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-666)\/(-30) + 1\/(-5). Let w(z) = z**3 + 5*z**2 - 3*z - 3. Let o be w(-5). Solve 4*y - o = -4*s, -2*y = -9*s + 4*s + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000118 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6074235 or -6074189?\nAnswer: -6074189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90999 + 3.\nAnswer: 91002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 0*j**3 + 0*j**2 - 2 + j - 1\/2*j**4. What is the derivative of w(h) wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from hgaueek.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75002 = 266*b + 88036 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 61*i**2 + 1830*i + 152. Calculate k(-30).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 0*i**2 + 0*i**4 - 14*i - 3\/2*i**3 + 0 - 1\/160*i**5 + 1\/480*i**6. Let l(s) be the second derivative of m(s). Factor l(a).\nAnswer: 3*a*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11978*b**4 - b**3 + 32740*b?\nAnswer: 143736*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210212211 - 0?\nAnswer: -210212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 292076155 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74580 = -3*q - 3*q. Let f = 980 + q. What is f rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41382 to the nearest one hundred.\nAnswer: -41400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 4*b**2 + b**2. Let f be 3\/(-2)*(-48)\/18. Let v(p) = -14*p**2 + 12*p**2 - f*p + 4*p. Determine 9*v(h) - 4*y(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = p + 2*p. Suppose -p*a = -122 - 262. What is the units digit of (a\/(-28))\/((-2)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73\/8 - 29\/4. Let v = 14335\/2876 + 191\/719. Find h, given that 21\/8*h**2 - v*h + i + 3\/4*h**3 = 0.\nAnswer: -5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1672*f**2 + 133*f + 133. Let r(k) = -38*k**2 - 3*k - 3. Calculate 133*r(p) + 3*y(p).\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99 or 65?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -32755752 greater than -32755775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + i - 15 = 0, -i = -5*y + 2*i + 6. Let d = y - 3. What are the prime factors of (-6)\/(-2) - d\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -3.8. Let y = l + -3. Let i be -1 + 2\/(-15)*-9. Which is the closest to -1? (a) 2\/15 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.93 + 1.07. Sort 0, -3, y, 0.1 in descending order.\nAnswer: y, 0.1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 35 = -5*z, 28*a - 3*z = 9*z + 63 + 21 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 17. Let k be a(-16). Let v be (-5 - -3) + -24399 + k. What is v rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1122.410947 to the nearest ten.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 96, 100 in increasing order.\nAnswer: -1, 3, 96, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w - 1. Let x(p) be the third derivative of p**4\/4 + p**3\/6 + p**2 - 8*p. Let j(c) = 4*t(c) + 5*x(c). What is j(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15695 by -3139.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 - -4*(-1)\/2. Suppose -11*b + c*b = -1. Let r(s) = s. Let l = 13 - 9. Let w(i) = 2*i + 2. Give b*w(o) + l*r(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (6\/(-3))\/1. Let d be (1 + 0)\/((-4)\/12). Let n = y - d. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.9 or 0.2171593?\nAnswer: 0.2171593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1855750 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -120862 divided by -5\nAnswer: 120862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1125)\/(-7) + -1 + 62\/217?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x - 4*x + 20*x.\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 50*s + 13. Let c be a(4). Suppose k - c = -0*k + 2*d, 2*d = -8. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 2 (b) -0.3 (c) 7\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.14 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*n**3\/8 + 53883*n**2\/8 - 3196518*n - 165465192.\nAnswer: -3*(n + 47)*(3*n - 3064)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*h*w*y + 15*h*w + 36477*h*y + 9689*w wrt y.\nAnswer: 16*h*w + 36477*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/15 + (-38)\/78. Let o = 0.2 - 1.2. Let w = 0.6 + o. Which is the closest to -2\/7? (a) w (b) -2\/17 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 10*l**2 - 7*l - 32. What are the prime factors of y(12)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*f = 2*d - 134, -2*f = 31*d - 709 + 128 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10410 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvp when three letters picked without replacement from {b: 1, p: 4, v: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let m(o) = -o - 1. Let y be m(-2). Let p be t(y). Let r = 5 + p. What is the greatest common divisor of r and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 4, 1\/2, 6 in increasing order.\nAnswer: -72, 1\/2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 122\/359 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1218*x + 7*x**3 + 8 - 2*x**2 + 1218*x + 2*x**3 to s*x**2 + c*x**3 + g + y*x and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4605, 4606, 4607, 4608, 4609?\n\"Answer: n + 4604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 1, t: 2, s: 2, i: 1, f: 1}. What is prob of sequence fi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvvp when four letters picked without replacement from {p: 1, y: 1, v: 2, x: 1, s: 2, q: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -323 + 647*n - 648*n + 325 + 761*n**3 + 2*n**4 as y + l*n**2 + r*n**4 + p*n**3 + v*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*h**3 - 19*h**3 - 181*h**3.\nAnswer: -535*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159.5 - 158.5. Let c = -4.12 + 0.12. What is the fourth biggest value in w, -1\/2, c, -4\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + -66 - -130) + (-56 - 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*a - 10. Let d(m) = m**2 - 5*m + 9. Let n be d(a). Solve 2*x = -3*f + n, -f + 5*x = -4*f + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010462704905 rounded to five decimal places?\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 103*i - 1767. What is a(-32)?\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.0523349.\nAnswer: 0.2093396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -776, 0 in ascending order.\nAnswer: -776, -72, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)\/i)**21*i**9\/((i*i**(-2\/29))\/i) assuming i is positive.\nAnswer: i**(-1301\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*l + 7 + 21, f + 4*l + 26 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = j - 8, 2*j + 5*n = 7*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + 177*r**2 - 340*r**2 + 170*r**2 to c*r + v*r**2 + t and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -71. Suppose 6*p = 2*p + b. Put 4, 2, p in increasing order.\nAnswer: 2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 30 = 10*o. Sort 1, -2, o in ascending order.\nAnswer: -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 5. Let f(k) = -6*k + 1. Let w(p) = -5*p + 2. Let u(j) = 4*f(j) - 5*w(j). Calculate 6*b(i) - 5*u(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0 (c) -35\/4 (d) -25 (e) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2115.6 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - 1.5. Suppose 4*q - 5*q = 3. What is the closest to -0.03 in t, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8853367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0*n**2 + 0 + 0*n**5 + 3*n - 5\/6*n**3 + 0*n**4 - 2\/21*n**7 + 0*n**6. Find the second derivative of x(g) wrt g.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a + -1ba199?\nAnswer: -1ba227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let m be (2 - -2)*(-434)\/56. Let k = -31 - m. Solve k*h - 4*h = d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5851\/3 + 1975. Let h = f + -956\/39. Put 0.5, h, 3, 2\/7 in descending order.\nAnswer: 3, 0.5, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3432)\/(-440))\/(1\/(-5)) - -14?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 32 = -6*b, -405*i - 5*b = -410*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u. Let a(j) = 950*j. Calculate x(a(i)).\nAnswer: 1900*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w + 1. Is 4 a factor of v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 6*l + 1. Let n be z(6). Let i = 74 + -73. What are the prime factors of (1 - n) + (4 - i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1288 = -153*y - 833 + 132 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4897*c - 4900*c - 14 + 0. Calculate n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -21350*(-14)\/4. Suppose -m - 4*m = -v. Suppose 16547 = -5*l - 4*j - m, -2*l = -4*j + 12608. Round l to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * 113024.\nAnswer: -18083.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 6*n**2 - 2*n + 3. Let x = -8 + 13. Let u be b(x). Let z = u - 7. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 26*j**3 + 3*j**2 + 50*j**3.\nAnswer: 76*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/137988 and -83\/896922?\nAnswer: 1793844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 98923 (base 15) to base 6\nAnswer: 14215523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 z when three letters picked without replacement from {l: 3, z: 2, f: 2, w: 4, i: 2, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 120 = 2*n, 0*n - 4*n + 228 = 4*j. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.33, 2\/5 in descending order.\nAnswer: 1, 2\/5, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.13 - 3.12. Suppose 5*u = 48 + 2. Let g = u + -15. What is the closest to v in 3, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73562.43 + -72696. What is r rounded to the nearest 10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*d = -342*d + 175*d - 40. What is the biggest value in -2, -323, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3124*h + 16. Let i(u) = 3130*u + 13. Determine -5*i(l) + 4*s(l).\nAnswer: -3154*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 376268000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1501 at most as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k + 5*k**2 - 2 + 10*k**2 + 12*k**2 - 28*k**2. Let w(g) = 2*g**2 + 9*g + 4. Determine 4*w(z) + 7*x(z).\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.2 - 0.37993022.\nAnswer: -4.57993022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 34*k + 38. Let h be g(35). Solve h*d - 8*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, t: 3, y: 4}. What is prob of picking 2 y and 1 t?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 4*r**3 - 5*r**3)*(5*r + 0*r - 3*r).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeseeeeeseeeeese. Give prob of sequence se.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1595 divide 44552562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 100695.\nAnswer: -100695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18256*o**4*s - 2*o**3*s**3 - 2*o**2*s**3 - 16616*s wrt o?\nAnswer: 438144*o*s - 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a - 1253 = 871. Solve -8*x = -11 + a for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 45, 91, 145, 201?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1019 = -2*s, 3*s + 0*m = 5*m + 1528. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 4*k**2 - 2*k - 1. Let s be o(5). Let f = -9 + s. Suppose -b = f*p - 598, -b - 4*b = -p + 104. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 446b85 - -5?\nAnswer: 446b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2326917812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -5\/103, -0.2, 3, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 274783177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3028 and 1436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-4 - -7) - -3. Let t be (a - 0)*2\/4. Let j = 1 - t. Solve -4*r + j*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17300.6 to the nearest 10.\nAnswer: -17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 2*j - 3*j + (-3 - 3 + 4)*(1298 - 1298 + 162*j) in the form c + u*j and give u.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*2\/(-3)*-1. Suppose -w*g + 4*g = 32. What is the remainder when g is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(2400) + sqrt(2400)*2)\/(sqrt(12)*-2*1).\nAnswer: -31*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/6 (b) -38.8 (c) -2\/41 (d) -0.07 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469140741?\nAnswer: 41, 35832701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5108235231 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + 6.91. Let k = v - 4. Put -0.4, k, 4 in decreasing order.\nAnswer: 4, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (89\/3)\/(((-12)\/6)\/(-30)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 963500323 to the nearest integer?\nAnswer: 31040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 340 = -18*r. Let h = 50 + r. Calculate the common denominator of (-3)\/h + 8 + 1\/(-3) and -161\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 160, 282, 458, 706?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3, -3*d + 2*d + 2*h = -2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 0.113, -5, 189.59 in decreasing order.\nAnswer: 189.59, 0.113, -0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -372 - -10637. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -249, -491, -757, -1059, -1409, -1819, -2301, -2867?\n\"Answer: -2*g**3 - 228*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:39 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 38.000021. What is b rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/54648 and 45\/45452?\nAnswer: 56451384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/15 + p**4\/3 + 2*p**3 + 4*p**2. Let t(b) = 0. Calculate b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r)*(-2 - 4 + 4) + 1 - r - 1 - 64 + 25*r + 134 - 69 + (2 - r - 2)*(-1 - 5 + 4).\nAnswer: 28*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.02, 15, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*x + 6*x + 21, -3*x + 4*w = 25 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16532 + 363791\/22. Calculate the common denominator of 2*(2\/(-8) - 49\/32) and d.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*s - 682*s = 17741 + 2134 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4\/8 - 111*s**3\/4 + 2519*s**2\/8 + 111*s\/4 - 315 = 0?\nAnswer: -1, 1, 12, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5556 divided by 46?\nAnswer: -2778\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29209, 29175, 29141?\nAnswer: 29107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-8))\/y)\/y)\/y*y)**36 assuming y is positive.\nAnswer: y**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/44)\/((-3)\/(-4)). Let l be 15\/(-2) - (-1)\/2. Let f be 2\/l*2\/4. Put f, p, 1\/4 in decreasing order.\nAnswer: 1\/4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-15)*9 - (0 + 1)) + (-54)\/135.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, b: 6, j: 4, f: 1, o: 4, y: 1}. Give prob of picking 3 o and 1 b.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78 - 6*m**2 - 4*m**3 + 78 wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -20a?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*h - 90*h - 312 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 56653 (base 7) to base 2\nAnswer: 11100000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.48 - 0.5. Let y = b - -41.02. Let d = 41.23 - y. Round d to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(2057) - -6*2*sqrt(2057))**2 + 4 + 4 + ((sqrt(2448) - 5*(0 + sqrt(2448)))**2 - -2*(sqrt(2448) + -1)).\nAnswer: 24*sqrt(17) + 705642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x**3 + 7*x**2 + 44*x + 119. Let d(b) = 3*b**3 + 3*b**2 + 15*b + 37. Let u(q) = -13*d(q) + 4*j(q). Calculate u(12).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -151484.\nAnswer: 7\/151484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/10)\/((588\/(-560))\/(-7))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 5*r + 35, 12005*r = -j + 12004*r - 9 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-189))\/(1\/6))\/(512\/(-112)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**2 - 16*l - 106. Determine y(-6).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 + 115 - 76)*(4*h**4 - 3*h**4 + h**4) - 10*h**2 + 4*h**4 + 10*h**2.\nAnswer: -64*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 7*u**3 - u**2 - 13*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**7*t\/t**(6\/5))\/((t**(-1)*t)\/t)**(2\/3))\/((t*t**(1\/11))\/t*t**(2\/9)*t**(-3)*t*t\/((t**2\/t)\/t)) assuming t is positive.\nAnswer: t**(4036\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(152)*-1 - (sqrt(152) - -1*sqrt(152)*2))\/((sqrt(8) - sqrt(600)\/sqrt(3)) + -2*sqrt(392)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6951?\nAnswer: 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00166 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*4\/(-8) + 111. Suppose -z - 86 = -3*o + o, 0 = -2*o - 5*z + l. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 12*x + 29. What is u(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -272\/3*j**2 - 416\/3*j - 64\/3*j**3 - 224\/3 + 2\/3*j**4 + 2\/3*j**5.\nAnswer: 2*(j - 7)*(j + 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*c + 6*n + 1618, -3*c = -2*n + 958. Let m = 615 + c. What are the prime factors of m?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(2\/5))\/q)*q)\/(q**(3\/7)*q))**(-5\/3) assuming q is positive.\nAnswer: q**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 4 - 0)*4. Let j = -57 - -153. What is the units digit of (20\/6)\/(b\/j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 2, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 - 126272*q**2 - 252556*q - 126280 = 0.\nAnswer: -1, 31570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12162.2 + 12161.998534. Round k to three dps.\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 4. Let s(p) = 5*p - 5*p - 1 - 2*p + 0. List the prime factors of s(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from aragayagyyygyrayaay.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -85 (b) 1\/12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -342675 (base 10) to base 7\nAnswer: -2625024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5)\/(40\/(-152))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 4340930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7, -3, 2.4, 0.6, 5, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 0, -y + 6*y - 5 = -2*x. Let o = 3 - y. Let s(i) = i**2 + i + 3. Calculate the smallest common multiple of s(-3) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -133*n + 49. Let k(y) be the second derivative of -11*y**3\/6 + 2*y**2 - 6*y. Determine 4*g(z) - 49*k(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from ooaooocoooo.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from kqpqpkkppk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143954861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 2*v + 2. Let n(m) = -m**2 + m. Give k(t) - 2*n(t).\nAnswer: t**2 - 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -61 - 31. Let n be 916\/(-30)*3\/2. Let g = n + d. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6)*k*k)\/(k\/(k**5*k))*k\/k**(-2\/7)*k\/k**(-1\/4)*((k**0)**(-46))**(3\/7) assuming k is positive.\nAnswer: k**(815\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10632552 and 33?\nAnswer: 116958072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i**(-12)*i))*i)\/i**(21\/5) assuming i is positive.\nAnswer: i**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g - 245*g + 37*g + 34*g + 34*g + 31*g + 57*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 22) + (-17 - -21). Let y = -13 + 25. Let u be 102\/8 + y\/s. Solve 3*p = u - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*l - l - 17 = 0, -115515*b + 115515*b + 4*l + 8 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times 5147.5?\nAnswer: -175015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 29*a**2 + 52*a - 11. Let x be l(-27). Suppose -2*b + 4 = 0, -4*i + 359 = b - x. Calculate the remainder when i is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 76*n - 345. Let p be c(-70). What is the greatest common factor of 25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 6, c: 10}. What is prob of sequence aa?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/48 and 7\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/5 + 6*d**3 + 111*d**2\/5 + 36*d + 108\/5.\nAnswer: 3*(d + 2)**2*(d + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -833, -828, -821, -812, -801, -788?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = -r - 3*p, 17 = 4*r + p. Suppose 3 = -r*z - 3*d + 18, -2*d + 10 = 5*z. Let o(c) = -c**2 + c + 13. Let f be o(z). What is f rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 0*y**3 + 2*y**5 + 0*y**4 - 2*y**5 + 0*y**4 + y - 2*y**5 - y + (-y**2 - 2*y**4 + y**2)*(y - 3*y + 3*y) - 2 - y**5 + 2 - 5*y**5 - y + y.\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13262807*j**3 + 9440937 wrt j?\nAnswer: -39788421*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.56 + 1.506. Let o = 0.224 + b. What is the smallest value in o, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831662427 to the power of 1\/3, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 127 + -0.49324\nAnswer: 126.50676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7164573 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 17*u**2 + 4*u + 2. Let f(d) = -d**3 - 18*d**2 - 5*d - 2. Let l(x) = 6*f(x) + 5*p(x). What are the prime factors of l(-23)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*l = 172, -2*x = l - 5*l - 104. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -1\/2 (b) 10\/21 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(170)*-4)\/(sqrt(1210)*-4*-5))**2.\nAnswer: 153\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/36*(-53)\/(-2014)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 832955040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -675777 or -675778?\nAnswer: -675778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42156*d**3 - 7048*d**3 - 2*d + 2*d.\nAnswer: 35108*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6 - 1 - 7*y - y**2 + 3*y - 3*y. Let f be j(-5). Suppose 189 = f*p - 3*r, 5*p + 0*r - 285 = -r. Is p a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89201789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.2725 - -0.0375. Let i = 2.30897 - h. What is i rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1132, -4508, -10130, -17998, -28112, -40472?\nAnswer: -55078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*f**3 - 4089*f**4 - 39*f**3 + 4095*f**4 + 542*f**2 wrt f?\nAnswer: 144*f + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.05 (b) 7 (c) 1\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 80.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/(22\/231). Suppose -4*i + 8 = 0, -3*p + 19 - u = 3*i. Which is the third smallest value? (a) 1 (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-322551 - (-14)\/7)*105\/(-15). Round y to the nearest ten thousand.\nAnswer: -2260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnkg. What is prob of sequence nkn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6.77392 * 0.3\nAnswer: -2.032176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n**2 - 1. Let h(l) = -8*l**2 - 1. Let t(m) = 5*c(m) - 6*h(m). Let k be t(-1). Suppose 12 = d - k*d. Sort -5, -3, d.\nAnswer: -5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*c**3 + 228 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Suppose -3*k - 3*p + p = -70, -3*k - p + 68 = 0. Let x(q) = -1 - 5*q**2 - 1 - k*q**2. What is x(l(u))?\nAnswer: -108*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u - 4. Let v(q) be the first derivative of -1\/2*q**2 + 2 + q. Determine p(y) + 4*v(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -30. Suppose -6*x + u + 17 = 0. Let n = x + 22. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7*q**(2\/3))\/(((q\/(q\/(q*q*q**(3\/4)\/q)))\/q)\/(q\/q**(-1\/5))) assuming q is positive.\nAnswer: q**(487\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*w - 5133 = -68*w - 50*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143)\/(24596\/(-12470))*-2?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/((-90)\/12))\/((-2)\/(-30)). Let n(i) = i**3 + 7*i**2 + 5*i - 1. Let o be n(l). Solve -o*m + 2 = t - 2, m + t = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - z = -4, -3*p - 4*z = -22 + 8. Let v(i) = 2*i + 0*i - 1 + 0*i + i. Let b be v(p). Solve 0*d - 5*d + f - b = 0, 0 = 5*d + 4*f - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:49 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 2770920?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 5*t = 8*p + 73, 28*p - 2*t + 1319 = 3*t for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 + 31*i - 13. Is m(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -645361\/32 - -20170. Calculate the common denominator of -65\/1312 and r.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 120 - (1855 + -1937).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 8*o - 9. Suppose 9 = 6*x - 27. What is the remainder when x is divided by j(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (12 - 15) - (-28 + 16 - -86).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103160733?\nAnswer: 3, 13, 59, 107, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2424527, 2424526, 2424525, 2424524?\nAnswer: 2424523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21*16\/56 + (-122)\/20. Sort 1\/5, -199, c.\nAnswer: -199, c, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**3 + 5 - 5 - 110*n - 10*n**3 + 20*n**3 + 106*n + (-2*n**2 + 2*n**2 - n**3)*(2 - 4 + 1).\nAnswer: 5*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -25. Let m = 13 + -23. Let q = m + i. Which is the second biggest value? (a) 4\/3 (b) q (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3725516.\nAnswer: 2, 17, 54787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4609 (base 15) in base 5?\nAnswer: -433414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 6369*o - 359840. Give r(56).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*d + d. Let w be d + (6 - 12\/(-4)*-1). Sort -5, w, 3 in descending order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(sqrt(28))**2.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**4 + 8*o**3 - 9*o**2 - 691*o - 21086720?\nAnswer: 4*o**3 + 24*o**2 - 18*o - 691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74827 or -74826?\nAnswer: -74826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - 58. Let f = 82 + h. Suppose 0 = -6*i + 11*i + 55. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.202? (a) -4 (b) -18.77 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(5\/9)\/l*l**8*l assuming l is positive.\nAnswer: l**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1763\/112832)\/((-2)\/16*-2).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1190\/340)\/(-2 + (-11)\/(-6)). What is the nearest to 0.1 in a, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r. Let p(o) = 6*o - 12 - 5 + 17. Calculate p(q(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -405464 (base 8) to base 5.\nAnswer: -13241230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 10. Let w(h) = -h**3 - 4*h**2 - h - 2. Let o be w(-4). Suppose -i - 25 = -4*x, o*i = 7 - 1. Is u(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-9))\/((-76)\/57)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2. Let h(s) = 2*s + 2*s - 165*s**2 - 4*s. Give p(h(d)).\nAnswer: 81675*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 307568141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202011 - -102102?\nAnswer: 10011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003464 rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -495, -797, -1131, -1497, -1895, -2325?\nAnswer: -2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 28, 71, 136, 229?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/4 - 185919*v**2\/4 - 2786760*v - 41791275.\nAnswer: -3*(v + 30)**2*(v + 61913)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -24.4. Which is the third biggest value? (a) -4 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from qwjcwjwqwwdwidwjqwjc.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:22 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22409951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000011011111 (base 2) to base 14.\nAnswer: -12703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 9*h**3 - 2*h**3 + 4*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 14. Sort 3, s, 2 in increasing order.\nAnswer: 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/7)\/o*o)*o)**20\/(o\/(o*o**0))**(-33) assuming o is positive.\nAnswer: o**(320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -310?\nAnswer: 1\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 1, m: 2, e: 1}. Give prob of picking 1 w and 1 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 60 = 17*z. Calculate the greatest common divisor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(153) + sqrt(153) + -5 + 4 - (5 + 5 + 2 + sqrt(153) + 1*sqrt(153) + sqrt(153)))**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*f - 2065 - 220 - 193 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40814\/33 or -1238?\nAnswer: -1238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q + 3*q - q. Solve 9*h - 15*h = q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 705439.5 to the nearest one hundred.\nAnswer: 705400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340568288?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15164898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -13798.\nAnswer: -2\/6899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 16*s + 32. Calculate j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/12)\/(3\/(-117)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 1)*((2*i + 0 + 0)*(-4*i - i + 4*i) - 92 + 17*i**2 + 92) as w*i + q + o*i**2 and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50777*i**2 + 101532*i**2 - 50681*i**2.\nAnswer: 74*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63774 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 30 (b) 0.2 (c) 2\/9 (d) 5\/11 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (0 - (10 + (1 - 1)) - -14)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v + 79 = 435 + 64 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/7 - 13239*k**4\/7 + 171597*k**3\/7 + 13239*k**2\/7 - 171600*k\/7 = 0.\nAnswer: -1, 0, 1, 13, 4400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 67 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/60 + j**4\/24 - j**3\/3 + 2*j**2. Let i(n) = -n**2 + 1. Let z = 2 - 1. Let t(k) = z*g(k) + 3*i(k). What is t(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-420))\/(2\/10).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(28\/16). Suppose a - 23 = -0. Suppose -3*f - 2*v - a = 2*v, 2*f = 5*v + 23. Which is bigger: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -37 - (-248 + 186)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (5 - -1)) + 44 + -36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-1) - 68866\/(-3185). Let m = v - 93\/5. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*f + 91*f - 4*t + 24 = 0, 12*f - 3*t = 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 11*a**2 - 23*a - 257. Let f be s(-11). Suppose -4*x + 3 - 87 = 0. Sort f, 2, x.\nAnswer: x, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 less than -1005?\nAnswer: -1004.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*75\/(-40)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgesetrg. What is prob of picking 1 r and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -585675 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6732 (base 8) in base 9?\nAnswer: -4770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 4*z**2 + z + 1. Let f be y(4). Let l = 25 - 47. Let r = l + f. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 (base 9) in base 7?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h + 7. Let q be r(-9). Let m = q - 31. Let j = m - 18. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v + 383097 = -v + 83*v. What is the greatest common divisor of 715 and v?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21055 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 1215 = -21*g. What is the remainder when (-1 - (-121)\/5)*(-20)\/(-4) is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*p + 2*p + 3*p)*(-1 + 4 - 1) + p + 2*p - 5*p)*(p + p - 3*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00234784 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556094 divided by 25277.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -586 + 592. Suppose -h*q = 9*q - 27615. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16941, 17078, 17219, 17364, 17513?\n\"Answer: 2*n**2 + 131*n + 16808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6450 and 3440?\nAnswer: 51600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 26*r**2 - 65*r - 7. Let g be y(6). Solve -121*v = -44*v + g for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.6 - -10.11. Let y = h + 0.7. Let p = 0.19 + y. Which is the nearest to -3? (a) p (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4*l**2 - l**2 + 4*l**2)*(3*l**2 - 4*l**2 + 0*l**2) + 70*l**4 + 93*l**4 - 131*l**4 in the form r*l**3 + u*l + t*l**2 + w*l**4 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5735 = 5*a, -3*a + 3441 = 2*m - 3*m. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -5, -94 in increasing order.\nAnswer: -94, -5, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1314*z = -1282*z + 192 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17495 by -4.\nAnswer: 17495\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 16.124836?\nAnswer: 16.124836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4182812435327.\nAnswer: -4182812435325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwfwffffffffaf. Give prob of sequence wf.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 31295207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, b: 2, h: 1, r: 3, z: 1, p: 5}. Give prob of sequence rbr.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 2*s**2 + s - 1. Calculate p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 43.59, 2\/7, -5, -0.2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 723.9731 micrometers?\nAnswer: 0.07239731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2479a (base 11) in base 14?\nAnswer: -cd62","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22848?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - k**3)*(k - 3*k - 3*k) + (k**3 + 3 - 3)*(k - k + k) + 36*k**3 - 36*k**3 - 10*k**4 + k**4 - 2*k + 2*k.\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.583188 + -0.0472?\nAnswer: 0.535988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Let g be 3 - 0\/a*1. Let b be (-12)\/8*10\/g. Let v(k) = -k**2 - 5*k - 4. Determine v(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 40 + 50. Let x(g) be the third derivative of 1\/160*g**6 - 1\/420*g**7 + j*g**2 + 0*g**4 - 1\/240*g**5 + 0*g + 0*g**3 + 0. Factor x(q).\nAnswer: -q**2*(q - 1)*(2*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, -4833, 0.2, 0, -3\/14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9102 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1749?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31222124 (base 5) to base 4.\nAnswer: 332323331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1889950434 to the power of 1\/3, to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(612) - (sqrt(612) - (1 + sqrt(612) + 2))))**2 + (2*sqrt(612)*-1 + -3)**2 + -4.\nAnswer: 168*sqrt(17) + 3129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -940*j**2 + 1. Let t(r) = -471*r**2 + 1. What is -3*k(m) + 5*t(m)?\nAnswer: 465*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 - 31*h**2 + 27*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + 7)\/(-3) - -5. Let a(q) be the second derivative of 4*q - 11\/6*q**3 + z + 0*q**2 - 5\/6*q**4. Find the second derivative of a(k) wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 20*m**2. Let d(x) be the second derivative of x**6\/360 + 13*x**4\/12 + 13*x. Let g(i) be the third derivative of d(i). What is h(g(c))?\nAnswer: 80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*h + 262*h**2 - 607*h.\nAnswer: 262*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -32.3884?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfcqgmx. Give prob of sequence xq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 - 4*b**2 - 41*b + 201. Determine c(6).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2314.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4*t + 24, 36 = -5*t - s - 3*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404 less than or equal to 3829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -58614 and 27.29.\nAnswer: -58586.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -19. Let m = -5 + f. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*t - 27, t - 6*t + 45 = 5*v. Which is the second smallest value? (a) -0.3 (b) 3 (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**2 - 117. Let c(z) = 19*z. What is k(c(u))?\nAnswer: 38*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 309? (a) 3 (b) -721 (c) -5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5702.\nAnswer: 2, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0299366 times -0.07\nAnswer: -0.002095562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 != 922?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4107*b**3 - 18241*b**2 - 1936*b - 52.\nAnswer: -(3*b + 13)*(37*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + y = -119. What is the greatest common factor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 604694?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 45. Calculate the remainder when 78 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84626 is divided by 434?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*f + t, -45*f + 48*f = -t + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k. Let z = 0 - -2. Let t(a) = 3*a. Let u(d) = z*f(d) - 9*t(d). Let g(m) = 3 - 2 - 1 - m. Calculate u(g(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 6)*(1 - 1 - 2) + 0 + 1 + 0 + (-1 + 5 - 3)*(1 - 1 - 1)*(-37 - 38 + 78))*(-4 - z + 4).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*s = 61*s - 6208 + 7792 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o + 3. Calculate i(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3760510 and 2080.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 4. Let h be j(6). Let s(l) = -2*l - 6. Let c be s(-4). Is 20*h - (-1 + c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20706 and 8?\nAnswer: 82824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose 3*s = -g*i + 75, 5*s - 96 = 2*s + 5*i. Suppose -2*z = -23 - s. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000055493 rounded to seven decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**6)\/b**(3\/4)*b\/b**(1\/4)*b**(-3\/5)*((b\/((b\/b**(-1\/3))\/b)*b)\/(b*b**(-3\/4)\/b*b*b))**(4\/7) assuming b is positive.\nAnswer: b**(697\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 + 77. What is the remainder when 93 is divided by -12*(-1 + r + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -a2?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2212 and 110163130.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 + b**2 - 4*b - 24. Let c(m) = 10*m**3 - 4*m**2 + 14*m + 71. Give 2*c(f) + 7*z(f).\nAnswer: -f**3 - f**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70884 and 72396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 9. Let u be ((-2)\/o)\/((-11)\/(-77)). Solve 3*s + u*j = 4*j + 6, -2*j = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 0.1, 2\/49, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-3990)*10*(-2135)\/5?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -1596 + 6840. What is the greatest common factor of 1216 and a?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64, 112, 158, 202, 244, 284, 322?\n\"Answer: -b**2 + 51*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39864168 by 8.\nAnswer: -4983021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 569548271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001418044 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*c + 9. Let z(v) = -2*v**3 + 3*v**3 - 11 - c*v**2 + 25*v**2 + 12*v. Let g be z(-13). Let q(h) = 3*h**2 + h - 1. Determine q(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + -3 + 8 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00449283 to 5 dps.\nAnswer: -0.00449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320790 to the power of 1\/2, to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2076204 by 2.\nAnswer: -1038102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1274, 5, 1, 2, 4, -1.\nAnswer: -1, 1, 2, 4, 5, 1274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 8. Let w be ((-3)\/(-6))\/(h\/164). Suppose 31 + w = 2*q. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 6*d**2 - 36*d + 168. Calculate w(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.969 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-213)\/3053*43*(-3)\/135.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74720 = -5*g + 5*k, 18333 = 2*g + 2*k - 11547. Does 62 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 4223\/5060 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95276412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5292\/25 = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79502.25ug to grams.\nAnswer: 0.07950225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 245409107.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**3 + 8*h**2 - 5. Let c(x) = -17*x**3 + 22*x**2 - x - 15. Let y(n) = -11*b(n) + 4*c(n). Let m(r) = -2*r**3 - 5*r - 6. What is -5*m(a) + 6*y(a)?\nAnswer: -2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 12:31 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -0.4. Let j = 13564\/15 + -1409651\/1560. Let y = j + -10\/13. What is the nearest to -0.1 in t, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6238672*r*v**3 - 21*r*v**2 - r*v - 22963*r - v**2 + v wrt v?\nAnswer: -37432032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3.7. Let z = -19.2 - 190.4. Let g = z + 210. What is the biggest value in g, 14, 0.1, b?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 2*s + 2. Let g be c(-3). Let r be ((-12)\/(-18))\/(8\/(-6)). Let b be (-2)\/6*(-6)\/(-10). Put b, g, r in ascending order.\nAnswer: r, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1\/k**(-1) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sststctdsttccsdssdss. Give prob of sequence dctt.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z + 2*s = 2277, 4897595*z - 4897591*z - s - 213 = 0 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15 + 20 + -10 - 36\/(-8). Is o != 0.3167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h. Let n(p) = 87*p - 92*p - 1 + 1. Give n(o(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 11 = 91 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from iinininiaininiiannn?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*x - 0*c - 4*c, 3*c = -4*x - 36. Sort 3, -5, x, -3.\nAnswer: x, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/20 - 2*m**4\/3 - m**3\/6 - 3*m**2\/2 + 5*m. Let x be z(-8). Suppose -3*n + x*n = 20. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/3967570 and -16\/4364327.\nAnswer: 43643270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 4. Let u = 7.922 + 0.178. Let n = 8.2 - u. What is the smallest value in t, n, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + -4 + 0 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26591 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -65*p. Let n be t(3). Let c = 46\/551 - -432351\/2204. Let k = n + c. Which is bigger: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p + 60 = -70*p. Sort p, 6, 5 in decreasing order.\nAnswer: 6, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s + 1\/2*s**2 + 1\/4*s**4 + 2\/3*s**3 + 119. Determine g(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**2 + 79*f**3 - 153*f**3 + 73*f**3. Determine o(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -21. What is the tens digit of (14 - 9)*(1 - r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*-10*1080\/675.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + -2 + (33 - -747)\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2 - 9 + 2 - 4 + 2*k. What is the least common multiple of 8 and x(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -33. Calculate the highest common factor of y and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-344)\/(-301)*(-4)\/((-464)\/(-14))\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/39327, 5\/4, -7\/19?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (4 - -17) - -3) + -4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*x + 17*x + 18*x + 49*x**3 + 16*x + 1760*x**3 as k*x**2 + i + z*x**3 + d*x and give z.\nAnswer: 1809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 24*x - 3373. Let w(b) = 17*b - 2248. Give -5*p(i) + 7*w(i).\nAnswer: -i + 1129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 2:58 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47835704 + 15\nAnswer: -47835689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - (5502 - 5456)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3 + 1. Let k(q) = -q**3 + 52*q**2 + 283*q + 77. Let p be k(57). Put 4, p, w in descending order.\nAnswer: 4, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/120 - 11*o**5\/60 + o**4\/12 - 5*o**3\/3 + 112*o**2 + 1. Give y(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -975*l**3 + 40*l**2 + 5*l + 23. Let n be j(17). Let z = n + 13508507. What is z rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = 2*q, 5*a = -4 - 1. Suppose 2*c + 4 - 12 = 0, 3*h - q*c = 29. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -19 - -6)*(-3)\/(-2). Suppose 0 = -241*c + 242*c - t. Calculate the remainder when 98 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -29. What is the tens digit of 5\/(-20) + 3525\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/16)\/(-7) - 322\/(-8). Suppose 6*w + 28 = s. Solve -1\/2*p**3 + 1\/2 - 3\/2*p + 3\/2*p**w = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 36\/(-24))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57548.216 to the nearest one hundred.\nAnswer: -57500","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109119 is divided by 361?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 187?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601 + -561 + (4 - -5).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.362?\nAnswer: -0.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*c**3*q**2 - 1362*c**3*q*r**2 - c**3*q*r - c**3*q - 49*q**2*r**2 - 17*q**2*r + q**2 wrt r.\nAnswer: -2724*c**3*q - 98*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2068 - -2070. Which is the nearest to g? (a) 1\/4 (b) 1 (c) 0.01 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**6\/360 - q**5\/60 - q**4\/12 - q. Let w(h) be the third derivative of u(h). Differentiate w(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*a + 5)*(-2 + 2 + 2*a**2) + 0*a + a + 2*a**3 + a.\nAnswer: -4*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 + 120. Let p be (1 - 2\/o)\/(-1 + 3). Which is the nearest to 2\/5? (a) -3\/7 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410591320?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 17, -5.\nAnswer: -5, -0.5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 5, f: 2, q: 1, j: 4}. What is prob of picking 2 f?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + 4*k)*(4*k**2 - 4*k**2 - k**2) + (-3*k + 3*k + 6*k)*(-27*k**2 - 37*k**2 + 3*k**2 + (-2*k**2 + 5*k**2 + 0*k**2)*(4 + 1 - 3)).\nAnswer: -331*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 6. Let k(o) = 2*o - 5. Let l(t) = 7*a(t) - 6*k(t). Let j be l(6). Suppose 0 = -j*m - 5*m - 5. Which is greater: m or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3327*y = -3324*y + 57, -21 = 4*i - 9*y for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from njthzzccj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (570\/(-1260) - 2\/(-4))\/(7\/42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.50219 + 0.03019. Let q = z - 0.028. What is q rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 7 = 13*g + 79, 2*g = -4*n + 8. Let r be (-54)\/(-24) + (-6)\/(-8). Put n, -3, r, 9 in descending order.\nAnswer: 9, n, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 9*t**2 + 8*t - 2. Does 13 divide g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*t = -33402, 66874 = 2*r + 4*t - 0*t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-284)\/10)\/(5\/(-25)). Let r = t + 35. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*n = -16, -9 = 2*r - 3*r + 3*n. Let z(u) = -u - 4. Calculate z(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 8412\/28 - 3. Suppose 2*s - 1240 = -2*s. Let c = p + s. Find the common denominator of -89\/10 and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(220) + sqrt(55))\/sqrt(5) - ((sqrt(396) + -1)*-3)**2)*2 + -1.\nAnswer: -7147 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1802\/23 - -18335\/276. Calculate the common denominator of x and 10\/(-15) - (-22)\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30083 less than -30081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 10*p**2 - 12*p - 13. Let v be q(11). Calculate the smallest common multiple of 13 and 50\/6 - v\/(-18).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - -104?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4*(-408)\/(-17). Does 6 divide (-30)\/b + 4 - 166\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0117224l to millilitres.\nAnswer: 11.7224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2630959 + 1315652 + 1315307 + 31*g**2.\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 31 = -5*n - 5, 4*n - 22 = -3*s. Let i = n - -21. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 337, 5.\nAnswer: -3, -1, 5, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*k - 2)*(k - 10*k + k).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*h**3 - 80138 + 80138.\nAnswer: -210*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5059 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290.9 + 291.1. Which is the nearest to k? (a) -0.3 (b) 1\/16 (c) 0.5 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v - 56. Let h be m(18). Let b be 9070004\/10 + 44\/h. Round b to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4662583 is divided by 279?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/16, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 3*h - h**5 + (2*h + h - h)*(0*h**4 + 3*h**4 - h**4) - 24*h**5 - 24*h**5 + 20*h**5.\nAnswer: -25*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2 + 4*p. Let g be 150\/(-117)*3 - (-12)\/(-78). List the prime factors of y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 56*b - 15*b = b - 4500 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:11 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.5 - -6. Let d = 2.5 + m. Let j = -2.1 + d. Which is bigger: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 - -0.6. Suppose 5*j - 3*q + 32 + 36 = 0, 4*j + 44 = 5*q. Let x = -16 - j. What is the nearest to x in -1\/7, b, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5747348 and 48.\nAnswer: 68968176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5*i = -50, 0 = 297*i - 300*i + 6 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 - -1.1. Let r = g - -1.8. Which is the nearest to 0.1? (a) 3\/2 (b) r (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 10. Let d = 110 - s. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4385 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(720) + 1 + 4*(sqrt(720) + (sqrt(720) + 1 + sqrt(720))**2) + ((sqrt(720)*2 + sqrt(720))*-6 - sqrt(720))**2*5 + 2.\nAnswer: 252*sqrt(5) + 1311131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 296.7768 milligrams?\nAnswer: 0.0000002967768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8296)\/(-170))\/(1\/(-5) + 0). Let c = g - -431. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -45454.6403 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y + 2*y**2 + 43 + 2*y**3 - 2*y**2 - 44 - 3*y**2. Let w be 6\/(-4)*(-12)\/9. Calculate the smallest common multiple of t(w) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*(28\/(-12) - -2)*(-2)\/(11\/11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1616, -1584, -1532, -1460, -1368?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -594 - -723. Suppose 6*l + 219 = v. Is l at most as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 0*d**3 + 11*d**2 - 5*d**3 + 4*d**3 - 4 + 14*d - 3*d. Let h be j(8). What is the common denominator of -93\/10 and 0 - h\/(-32) - 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 555\/(-259) - 2\/(-14). Let s(o) = 22*o + 1. Give s(f).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 4*b + 8. Suppose 0*a + 4*a = 4. What is the remainder when b is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1224.761231 and -55.\nAnswer: 1169.761231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9940 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 4*g + g + (3*g + 0*g - 4*g)*(2 - 3 + 0) - 10 - g + 10 as r + a*g and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4 + 3*u - u - 4*u + u. Let s be w(5). Let k = -6 + 6. Which is bigger: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -47, -50?\n\"Answer: -3*x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/103, 1, 45, -2\/3.\nAnswer: -2\/3, 2\/103, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2605*x**2 + 1. Let d(p) = 7833*p**2 - 3. Give -5*d(m) - 14*y(m).\nAnswer: -2695*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -2. Let u be z\/(-6) + (-112)\/(-21). Suppose -103 = -4*t - d, -u*t + 6*d = d - 135. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 - 14 + 5 - 530*u - 4 as g + b*u and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56981 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/336)\/(5*(-9)\/(-675)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3165.\nAnswer: 1\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20193?\nAnswer: 3, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496087809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 + 22\/(-8). Let d = -33\/5 + 104\/15. Which is the closest to d? (a) m (b) -1\/3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-58))\/((-1)\/5)*(-48)\/15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (5 + -25) - 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 62\/56 + (-294)\/343 + (-110)\/(-8). Solve w + 2*a = b, 16*a = 3*w - 2*w + 58 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - -4.02. Let d = q + -3.92. What is d rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, -2, 0.724, -7, -19\/2?\nAnswer: 0.724","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - t - 1. Let y(j) = 12*j**3 + j**2 + 5*j - 14. Let z(x) = 5*w(x) - y(x). What are the prime factors of z(9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -33, 0.02, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.7 - -11. Let u = 0 + p. Let q = 14 - 10. What is the second smallest value in -2\/3, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63326*b**2*k**3 + 2*b**2*k**2 + 3*b**2*k + 1206*b*k**2 wrt k.\nAnswer: 379956*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33900 divided by 2?\nAnswer: 16950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83204 + 636.\nAnswer: 83840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46476.11ug in tonnes?\nAnswer: 0.00000004647611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + z + 0*z. Let o(h) = -2*h**2 - 6*h + 1. Let w(n) = 728*n**2 + 1950*n - 325. Let j(u) = 650*o(u) + 2*w(u). Determine k(j(f)).\nAnswer: -312*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4630, 4657, 4686, 4717, 4750?\nAnswer: 4785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72211, 144022, 215427, 286420, 356995, 427146?\n\"Answer: -y**3 - 197*y**2 + 72409*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3 + 3*t**2 + t**3 - 4*t**2 + 2*t + 7*t**2. Let m be b(-4). Suppose 0*x - x = -m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 23*o**2 + 368*o + 5395. Let c be t(-15). Calculate the highest common factor of c and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2636)\/1977*(27\/12)\/((-6)\/(-52))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/4281701 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {p: 4, v: 2, q: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4037 - -4055. Solve 9*l + 0*l = i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or 49\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 + 11 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 26*i**2 + 137*i + 372. Give x(-20).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18879, -150895, -509219, -1207005, -2357407, -4073579?\n\"Answer: -18859*j**3 - 3*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, f: 4}. Give prob of sequence mmm.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/14 + (49 - 42).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 >= 528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12\/p*p*p**(-15)*p*p)**(-4\/3) assuming p is positive.\nAnswer: p**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/449 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19110896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*t**4*x + 8645*t**2 - 563*t*x + 3*t - 7*x - 5 wrt t.\nAnswer: -1020*t**2*x + 17290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9071.471317268 minus -0.04?\nAnswer: -9071.431317268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 13. Let n be z(11). Factor 10 + 17*c**n + 44*c + 28*c**3 + 47*c**2 - 2.\nAnswer: 4*(c + 1)**2*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-8))\/(((-6)\/2)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*w - 8, -w + 3 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 3. Let o be j(0). Suppose -3*s - x + 15 = 0, -o*x + 33 = 4*s - 6*x. Let k(c) = c**3 + c. Let a(n) = -5*n**3 - 3*n**2 - 6*n. Give s*k(z) + a(z).\nAnswer: z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35516 is divided by 3716?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 19. Determine t(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59739300*k**2*t**2 - 13*k*t**2 + k*t - 34863*k + 9*t**2 wrt k.\nAnswer: 119478600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddh when three letters picked without replacement from {t: 1, h: 1, z: 1, l: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -520, -904, -1352, -1822, -2272, -2660, -2944?\nAnswer: -3082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5528069861 to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*j = -4, 7*t = 4*t - 3*j + 6. Let n be (30\/(-4))\/(t\/(-12)). What is the greatest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165 (base 12) to base 8\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98.8 + 99. What is the nearest to u in -4, -1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 32*k**3 - 26*k**2 - 420*k.\nAnswer: -2*k*(k - 14)*(k - 5)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 3*j)*(-35 - 18 + 10).\nAnswer: -129*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*u + 313*u + 252*u - 17*u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*w = 59, -15*b + 18*b = w + 73. Calculate the least common multiple of b and 657.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251004?\nAnswer: 2, 3, 13, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2803*s + 134 = 5*j + 2801*s, -294 = -11*j + 4*s for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**5 + 26*t**4 - 1726*t. Let j(x) = -19*x**5 + 76*x**4 - 5177*x. Let p(f) = -3*j(f) + 10*y(f). What is the second derivative of p(n) wrt n?\nAnswer: -60*n**3 + 384*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 - 3*f - 9. Let q(k) = k + 1. Calculate 3*q(z) + v(z).\nAnswer: -3*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38925621, -38925630, -38925639, -38925648?\n\"Answer: -9*q - 38925612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -0*d. Suppose 2*v = -4, 5*v = o - 5*o + 94. Suppose -o = -5*x - 6. What is the remainder when x is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 602 + -679. Let q = k + -12. Which is bigger: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7246?\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-7)*(-1092)\/(-702)*156\/(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10385356.\nAnswer: 2, 2596339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.021498 - 2.3.\nAnswer: -2.278502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1165892617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q - 2. Let m be v(-2). Suppose -h + m + 0 = 0. Suppose -p = h*t + 10, 4*p - 5 = -t - 0. What is the least common multiple of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 16531?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**4 - 388655*o**3 - 4274690*o**2 - 6994800*o = 0.\nAnswer: -77720, -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.90000134 - -3.9. Round s to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 595*w**3 - 112*w**2 - 112*w - 77. Let c(k) = -54*k**3 + 10*k**2 + 10*k + 7. Calculate 56*c(z) + 5*s(z).\nAnswer: -49*z**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 3*d + 21, 53*d + 16 = 51*d + 4*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3313814 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-9 - -2) + 6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (451\/(-1617))\/41*-36*28\/40.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 > 89796\/253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/3)\/((-891)\/132 + 0)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wzlzzfw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 24 + 17 = -4*w, w - 35 = 5*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -0.1, 2\/15, -1\/5, -32, -1 in increasing order.\nAnswer: -32, -1, -1\/5, -0.1, 2\/15, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -297655*m**4 + 1580244*m wrt m.\nAnswer: -3571860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -14*h - 7. Solve h*y - 3*g = -0*y + 4, y + 7 = -2*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161240032 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002793 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3813 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**5 - 3*h**4 + 5*h**3 - 3*h**2 - 8*h - 6. Let q(l) = 6*l**5 + 20*l**4 - 30*l**3 + 19*l**2 + 48*l + 37. Let w(o) = -39*a(o) - 6*q(o). Factor w(m).\nAnswer: 3*(m - 2)**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 125.\nAnswer: -13\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*u - 90 = -13, 4*s - 5*u + 32 = 0. Let l(o) = -o**2 - 16*o - 17. Let g be l(s). Solve 5 = -3*v + 5*m, -m + 2 = 4*v - g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 21*r**2 + 8*r + 50. Let p(a) = 7*a**2 + 3*a + 15. What is -3*h(d) + 8*p(d)?\nAnswer: -7*d**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/5 + 4722633*s\/5 + 4722636\/5 = 0. Calculate s.\nAnswer: -1, 1574212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112326.2751701 - 43287.7348572. Let i = 69139.5403 - t. Let r = 101 - i. Round r to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y**2 - y. Let p(v) = 2*v. Let q(m) = 5*m. Let r(c) = 8*p(c) - 3*q(c). Determine o(r(x)).\nAnswer: 14*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 25 = -i. Let a(y) = -y - 6. Let n(c) = -1. What is i*n(l) + a(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, -0.1 in descending order.\nAnswer: 1, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1736046 - -7?\nAnswer: -1736038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9896340 and 3958536?\nAnswer: 19792680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 412?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 322*u + 15. What are the prime factors of o(2)?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 0, 22, 42, 60, 76, 90?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -103\/5. Let t = 125729 - 125726. Sort t, -1.1, 1, b.\nAnswer: -1.1, b, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -120, -20 = -219526*f + 219525*f - b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0971325 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/15)\/(((-760)\/1482)\/20).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(125))*1 + 4 + -1*1*-2*sqrt(125))*-6)**2.\nAnswer: 4320*sqrt(5) + 41076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/5 - 9*r**4\/5 + 7*r**3\/5 + 9*r**2 + 28*r\/5.\nAnswer: r*(r - 7)*(r - 4)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 5*i**2 + 0*i**2. Let z(n) be the first derivative of -7*n**2\/2 + 2679. Calculate z(l(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1646 (base 10) to base 9\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -0*z - z - 43827 + 43831, -6*z = -3*z + 5*z - 4*m + 40 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/383952 and 163\/17985120.\nAnswer: 341717280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**2\/2 - 2*v - 1. Let x be l(0). Let b be (-1)\/2*(-2 - x). Which is greater: 8 or b?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from eazrarrarar?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000773169867 rounded to 7 decimal places?\nAnswer: -0.0007732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -183bb - -5?\nAnswer: -183b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmxvvmvvvxxxmm. Give prob of sequence mvvv.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1\/15, 12, 2.02?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 + 357 = 3*w - 5*v, -4*w - 3*v + 1207 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/144*(26 - 8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051418955.7 rounded to the nearest one hundred thousand?\nAnswer: -1051400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.816938242 rounded to three decimal places?\nAnswer: -0.817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34120 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 8. Determine l(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 478\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 434 and 2914.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**4 + f**3 + f**2 + f. Let r(u) = -2*u**4 + 11*u**3 + 11*u**2 + 6*u. Let d(s) = -4*m(s) + r(s). Factor d(c).\nAnswer: c*(c + 1)*(c + 2)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmvpmcmmpmvpppppcpm. Give prob of sequence pmc.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4b8fa (base 16) to base 3\nAnswer: -120201112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - 21 - 4 - (-56 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**5 + 2*h**4 + 25533*h**3 + 595682*h**2?\nAnswer: -240*h**2 + 48*h + 153198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 37*v**2 + 240*v - 3710. Determine x(17).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 17*a - 2 - a as b + j*a and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -4, 0, -36 in decreasing order.\nAnswer: 140, 0, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6717674 take away 0.7?\nAnswer: -1.3717674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.135 - -3.1. Let w = 0.365 - a. Let q = -100\/7 + 14. What is the nearest to -0.02 in w, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -5*x + 4*a, 13*a - 17*a = 3*x + 58 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 2*v + 42 - 114 = 3*p + 2*v - 9*v, -p - 4*v + 81 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 11 - -6 - -37\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 2*o + 5902. Suppose -17*q - 2538 - o = 0. What is the common denominator of -61\/24 and -6*116\/q + 1?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-14\/3))**(-24)*h**32\/h**(20\/7) assuming h is positive.\nAnswer: h**(652\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6230793 + 576898\nAnswer: -5653895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 631889*z + 7. Let m be d(-3). Let w = 318475081\/168 + m. Let j = w + 9\/56. What is the common denominator of -7\/3 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -1, 27 in decreasing order.\nAnswer: 27, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 936 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16217216*g**3 - 4677999*g + 3.\nAnswer: 97303296*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*d = -1072*d - 4338 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20*u. Let p(c) = 8*c + 450. Let i be p(-56). Suppose -12 = 2*y + 6. Let z(g) = 5*g. Calculate i*j(b) + y*z(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -455521 or -1366561\/3?\nAnswer: -455521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w - 447 = 0. Let y = -144 + w. Solve 3 = -v, 0*v - y = -f + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 1879*g**4 - 6730*g - 2600. What is the first derivative of y(b) wrt b?\nAnswer: 22548*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -8 - -6 - 6) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1987 + 2000. Sort -4, i, 55, 2 in increasing order.\nAnswer: -4, 2, i, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(-2 + (((sqrt(637) + 2)*4)**2 - sqrt(637)) - ((sqrt(637)*1 + -4)*-5)**2).\nAnswer: -24284 + 7364*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let r = -33 - -35.5. Let s = r + -3. Which is the second biggest value? (a) -4 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*t = 5*t - 104*t - 35*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 + 4 = 0. Let l be j\/4*-6 + 7. Suppose 0 = -0*u + 2*u + l. Which is the second biggest value? (a) 4\/5 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3993*y - 67024 = 152719 + 186126 - 42506 for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 4*k + k + 3*k - 4*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -42990930, 3 in decreasing order.\nAnswer: 3, -4, -42990930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23996328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -761 * 0.05.\nAnswer: -38.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/8 + 147*o**2\/4 - 3600*o + 117504.\nAnswer: -(o - 102)*(o - 96)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1101 and 343879?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2. Let s(b) be the second derivative of -11*b**4\/12 - b**2\/2 + 238*b. Calculate s(x(m)).\nAnswer: -99*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 12\/7 (c) 4\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 5*j**2 + 8*j**2)*((-4*j**2 + 2*j**2 + 0*j**2)*(3 - 3 + 2) + (5*j - 4*j + 0*j)*(0 + 0 - 2*j)).\nAnswer: -30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4*a**2 + a - 1. Let c(i) = 6*i**3 + 12*i**2 + 382*i + 3. Give -c(q) - 3*r(q).\nAnswer: -3*q**3 - 385*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/9120 and 121\/1307352.\nAnswer: 26147040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 5*y = -4*y + 3*j - 67, 10*y + 233*j - 643 = 230*j for y.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1834*x - 1831*x - 32 = -q, 0 = -2*q - 3*x + 34. Determine k, given that 2048 + 1\/2*k**q + 64*k = 0.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95441.91ml?\nAnswer: 95.44191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 30*o - 34)*(-2 + 2 + 1) as h*o + t and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 1. Suppose 3*g + 2 = -r, -9*g + 11*g = -4. Suppose -19 = p + r*w, p - 3*w + w - 11 = 0. Calculate n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2, 0 in descending order.\nAnswer: 14, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Put -1, w, 5 in increasing order.\nAnswer: -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = 6*h - 191. Suppose -1568 = -3*f - 5*y, -h*y + 6*y - 1570 = -3*f. Is f a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4835782.\nAnswer: 2, 7, 345413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3107 is divided by 1055?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -4, 73.\nAnswer: -4, 2, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*v**3 - 8*l**3*v**2 - 2*l**3*v + 21018*l*v**3 - 8*l*v**2 + 652 wrt v.\nAnswer: -6*l**3 + 126108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 10)\/((-399)\/171). Let a = -5 + 12. Find the third derivative of -p*u**5 + 28*u**2 - 12*u**2 - a*u**5 wrt u.\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253605 and 4664?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - -36 - (10 + -5 + -15) - (-37 + 4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6757614 to the nearest integer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -22 (b) -3 (c) 1\/4 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 29 = -40*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -66. Let p = r + -25.89. Let j = -0.10936 + p. Round j to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38333, 76492, 114639, 152768, 190873, 228948, 266987, 304984?\n\"Answer: -s**3 + 38166*s + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(21\/18*38 + ((-320)\/8)\/120)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6884 - 35139 = -z, -5*z - 3*m = -210061. Suppose 2*g + 4*r = 42018, 0*g + 2*r - z = -2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-53))\/(2\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**2 + 253*j - 944. Give u(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2 - 2. Give h(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)*1)\/sqrt(8) + sqrt(24)\/sqrt(3)*-5)\/((sqrt(8) - (sqrt(8) + (sqrt(72) + sqrt(72)*2)\/sqrt(9)))\/sqrt(2)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -9*w + 0*w**2 + 0 + 0*w**3 + 2\/3*w**4. Let p be r(-1). Solve 2*h + j = -3*j + p, -2*h + 8 = -3*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.239 + -7.239. Let a = -1.7 + -0.3. Let t = -1.8 - a. What is the biggest value in -1\/2, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2051 - 2051 - 3*j**3 - 3*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2112) - (-2*sqrt(2112) + sqrt(2112) + sqrt(2112))) + (sqrt(33) + sqrt(33) + sqrt(33)*1)*-4)\/(sqrt(396)*-1*5))**2.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 + 60 + v**2 - 66 - 11*v + 3*v**2. Let m be x(12). What is the units digit of (-3 - -19) + (-6)\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600765 + 45387647.\nAnswer: 44786882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/120 + 7*k**5\/60 - k**4\/8 - k**3\/3 - 3*k**2. List the prime factors of j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)*p\/p**(1\/2) assuming p is positive.\nAnswer: p**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 + -141. Suppose -l*a - 9 = 5*y, -3*a + 0*y + 7 = y. What is the closest to 2\/5 in 5, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 836791248, 1673582496, 2510373744, 3347164992, 4183956240, 5020747488?\nAnswer: 5857538736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**2 - 216*a + 12. What is d(18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -43. Suppose 0 = -2*x - 10, f = -g - 8*x + 3*x - 20. Suppose k - 5 + 0 = 0, 4*k + 120 = g*y. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -385, -1275, -2757, -4831?\n\"Answer: -296*y**2 - 2*y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 2*g - 4. Let w = 3 - 4. Suppose -6*h - 38 = 4. Let s(p) = -2. Let c(v) = 5. Let u(m) = h*s(m) - 3*c(m). Determine w*i(t) + 6*u(t).\nAnswer: -2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*u**3 - 2 + 10 + 31*u**3.\nAnswer: 88*u**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j + 6 + 1)*(4 + 3 - 3) + (2*j - 1 + 1)*(1 + 1 - 4) + (-2*j + 2*j - j)*(1 + 0 + 0).\nAnswer: 3*j + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l = 15*l - 49*l + 500 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*s - 12, 5*m + 5*s - 3 = 2*m. Let r = 13 + 5. Suppose 5*d - r = 17. Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 7616388?\nAnswer: 30465552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -275737533*a*f + 292572225*f wrt a?\nAnswer: -275737533*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829297889.\nAnswer: 7, 151, 784577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -707 + 706. Let m be (-199)\/(-5) - 3\/(-15). Is m at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 2*m**3 - 3*m**3 + m**2 + 3*m**3. Let f(l) = -3*l**3 - 4*l - 7. Let a(z) = -f(z) - 4*v(z). What are the prime factors of a(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20 - 5)\/(1 + 0). Suppose -3*x + 11 = -p + 36, -x = -p + c. List the prime factors of (8\/p)\/((-10)\/(-125)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3)*(-1692)\/(-24). Let z = 77 + k. Calculate the remainder when z is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 70. Let o(k) be the second derivative of 5*k**3\/6 - k**2\/2 + 3*k. Let a be o(3). Calculate the highest common divisor of a and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34963 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40143438.263613 + 40143481. Let p = y + -42.712. Let f = p - 0.024. Round f to 5 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*c + 3*c - 6533, 4*w + 5236 = 4*c. Let i = c - 2540. Let f = -267 - i. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 20*j - 135 = 0. What is the highest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2. Let j(b) = 156*b. Calculate c(j(t)).\nAnswer: 97344*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9863307 or 9863305?\nAnswer: 9863305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:50 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011110202 - 12?\nAnswer: -2011110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4729*w**4 - w**3 - 1 + 6*w**3 - 4731*w**4 + 2*w**2 as z*w**2 + h*w + c*w**4 + r + y*w**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 15*j - 14*j. What are the prime factors of (j\/4 + -9)*(-31)\/(-2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4896, -9634, -14372?\nAnswer: -19110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.43441 and 6895.837.\nAnswer: 6895.40259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.8 + 24.566. Let h = -0.534 - x. Put h, 0.06, -0.4 in decreasing order.\nAnswer: 0.06, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 2 q when four letters picked without replacement from txmmmmqtqmmqmmemtmm.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-352)\/66*(2 - 6494)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546368.\nAnswer: 2, 3, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/1101 + -6706\/27525. Let n = 1\/100 - f. Let r = -1.1 + 0.1. Which is the nearest to 0.1? (a) 5 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/21045, 3, 0.5.\nAnswer: -4\/21045, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 315\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*8\/(-66))\/(2\/(-22)). Which is the third smallest value? (a) 3\/8 (b) -2\/33 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 9, -4*p + 2*d = -2*p + 126. Let b be p\/(-10) + (-4 - -2). Solve 4*s = -6*x + 2*x - 20, 0 = b*x + 3*s + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 5*b**2 - 23*b - 1. Let s be d(-8). Is -0.9 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*b*b\/(b\/b**(-11\/4)*b)*b*b*b*b**(4\/11)*(b\/b**9)**(-1\/12))**(2\/45) assuming b is positive.\nAnswer: b**(697\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**4\/5 - 21029*n**3\/5 + 24211*n**2 + 31578*n\/5 = 0?\nAnswer: -5263, -1\/4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41\/4 in -2\/19, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -0.5, 3\/7, 0.3, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*f - 79 - 158, 0 = 3*f - 5*y + 245. Let g = -63 - f. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 298, 606, 914, 1222?\n\"Answer: 308*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - -14. What is the second derivative of -r - g*r**2 + 124 - 128 - 2*r + r wrt r?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -202747, -202521, -202295?\n\"Answer: 226*w - 202973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + 151\/3. Suppose 0 = -3*y + u + 22. Let j be ((-3)\/(-2) + -1)*y. Solve 0 = 3*z - j - 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3\/2 - 61\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 2*t + 0*t)*((1 + 2 - 5)*(2*t + t - t) - 178*t + 276*t - 165*t + (-2*t + 2*t + 2*t)*(3 - 3 - 3)) as d + c*t + n*t**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5*z - 5 + 4)*((10 - 10 - 2*z)*(0 - 5 + 4) + z + 0*z + 2*z) as b*z**2 + c + p*z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47.4 and 495.94?\nAnswer: 23507.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1774733 to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9744809um to meters.\nAnswer: 0.0000009744809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 + 0 + 0 + 11*c**2 - 25*c**3.\nAnswer: -25*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 73*r**2 - 211*r + 93. Calculate n(70).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 164*h**2 + 640*h + 628. Let y(w) = 2*w**3 + 163*w**2 + 640*w + 626. Let v(p) = 4*y(p) - 6*z(p). Factor v(c).\nAnswer: -4*(c + 2)**2*(c + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1819 times 0.6\nAnswer: 1091.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163370 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.3670276 + 147.\nAnswer: 199.3670276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14510*x. Let m(j) = -90*j + 3. Give k(m(v)).\nAnswer: -1305900*v + 43530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78816.\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 14 = -2. Let l(i) be the third derivative of -1\/12*i**4 + 0*i + 0*i**d + i**2 + 0 + 1\/60*i**5. What is the second derivative of l(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204160?\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.53 > 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*h + 6672 = -15951 - 21035 for h.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*-3*(-382)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44*1*((-26)\/(-24))\/((-360)\/1080).\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 699\/2*(70\/6 + -3). Let f = s + -1272. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7 - 4*l + 34 - 14 - l**2. Let a be w(-6). Let s = 10 - 15. Sort s, a, 3 in ascending order.\nAnswer: s, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 1711*b - 1711*b + 1752 + 8*b**2 + 1006.\nAnswer: 8*b**2 + 2758","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*m + 181, -116 + 195 = b + 4*m. Calculate the remainder when 193 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000221 - -1121110?\nAnswer: 120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 89087320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 381643777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:32 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + -1*-2*sqrt(100))\/(-1*sqrt(490)))\/((sqrt(14)\/(sqrt(14)\/sqrt(2)) + sqrt(320)\/sqrt(10))*2).\nAnswer: -3*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**5\/20 + 13*o**4\/12 + 2*o**3 - 4*o**2 + o. Let z = 166516 + -166528. Calculate h(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0.3, -21\/5, -2\/11 in decreasing order.\nAnswer: 3, 0.3, -2\/11, -21\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12830, -25579, -38224, -50765, -63202?\n\"Answer: 52*n**2 - 12905*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1 + (64\/(-16) - (-52 - 1)) and 56.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*v + 67 - 141 = 0, 4*v = 3*j - j - 20 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -129b (base 12) in base 11?\nAnswer: -1671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = -4*t - 4*a, -t = -2*a - 5. Let p(g) = g**2 - g - 3. Let h be p(t). Suppose 4*x = h*x + 887. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -21\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/12 - 17*h**3\/3 - 61*h**2 + 96*h. Is 15 a factor of p(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*z + 73*z = -180. Put -12, -4, -3, z, 4 in decreasing order.\nAnswer: z, 4, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let s(o) = -4*o - 8. Let f be (48\/15)\/((-2)\/(-10)). Let z(u) = 0 - 4 - 7*u + 2 - f. Let h(p) = 9*s(p) - 4*z(p). Give d(h(t)).\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207 + 0 - (0 - 3).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/7 + 68976*c**3\/7 + 417866826*c**2\/7 + 245931375888*c\/7 + 38137579213107\/7 = 0. What is c?\nAnswer: -11177, -319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549, 5490, 13725, 25254?\nAnswer: 40077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:33 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -21*r - 34. Suppose -2*f = -3 - 1. Solve f*s + d = 14, -r*d + 21 = 5*s - 3*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6f8a0 (base 16) to base 10.\nAnswer: -456864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/((-6)\/(-32)). Let p(o) = -7 - 7 - o + 31 - 5 - 6. Determine p(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401 is divided by 265.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14720\/(-3744) + (-4)\/18 + 4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -2 + 1)**2.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372 and 41850.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 3*l - 11*l - 5*l.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 8*u = 19*b - 0*u + 556, -4*b + u - 121 = 2*b - 2*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 = 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25970363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 37 - 36. What are the prime factors of v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*i = 2, -2*n - 7 - 3 = -5*i. Let k(h) = 5*h**2 + 178*h + 12. Let q be k(-36). Suppose 456 = n*g - q. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3804880 and 6692?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7543330213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 - b + 4. Let f(p) = p**2 + 1. Let m(r) = 4*f(r) - u(r). Let g be m(0). Let j(w) = -w**2 + w - 5. Determine j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31593*o**3 + 2 + 0 + 3*o**4 - o**2 + 2*o + 31675*o**3 to the form y + x*o + t*o**4 + w*o**2 + z*o**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 3*c + 3. Let f = -71 + 82. What is the remainder when g(-3) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 258052*c - 209391 with respect to c.\nAnswer: 258052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3519210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5592976 is divided by 2105.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 30. What is the lowest common multiple of l and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8711*x**2 - 14943*x - 6644*x**2 - 2065*x**2 + 14943*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 - 2 - (-49 + 54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*x**3 + 292*x**3 - 156*x**3.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 5*f**3\/6 + 82*f - 2. Give x(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6107.6 + -5870.6. Let r = 41\/119 + -1\/17. Put r, b, 2 in increasing order.\nAnswer: r, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4199, -8401, -12603?\n\"Answer: -4202*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 466*f - 32700. Determine b(86).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 64412*p + 28 = 64413*p, 2*p - 1 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 - 16*i**2 + 20*i**2. Let l(z) = -2*z**2. Determine l(v(x)).\nAnswer: -200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 3*d**2 + d + 5. Let b = 975 - 972. Give x(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41566*l**2 + 75909 wrt l?\nAnswer: 83132*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from {t: 6, k: 2, q: 9}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 487 + -484. Let y be 0\/1 - (0 - 0). Suppose 0 = 14*f + 12*f. Solve f = j + w - y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, x: 5}. What is prob of sequence xzzx?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 - z + 4. Calculate f(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*f**4*u**2 - 2*f**4*u + f*u**2 + 20*f*u wrt f?\nAnswer: 900*f**2*u**2 - 24*f**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 2 z when four letters picked without replacement from jasajsajaajaaasazzsa?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:13 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*a - 2524, -a + 487 = -x - 2031. Let r = x - 2610. Let o = 2826 + r. What is o rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2312 + -93.83160367.\nAnswer: 2218.16839633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 145*j**2 + 19*j - 100. List the prime factors of l(6).\nAnswer: 2, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/9*g**2 - 164\/9*g = 0. Calculate g.\nAnswer: 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*z**2 - 27924 - 27919 + 83762 - 27919 + 31*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - (-11 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**5\/60 - v**4\/3 - v**3\/3 + 2*v**2. Suppose 3*k - 88 = -1. Calculate the remainder when k is divided by l(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026995474 to 7 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, o: 5}. Give prob of picking 2 j.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 + 10*j + 24. Let u be v(0). Solve -2*r = -16 + u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000 - -13?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-12)*-2*(-10242)\/(-569)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 730 and 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -0. Let x be (-2)\/4 - 9\/n. Let q(h) = -h**2 + 3*h + 7. Let r be q(5). Sort r, x, 3.\nAnswer: r, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, -3, -30, 0.5.\nAnswer: -30, -3, 0.5, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)\/(4\/(-16)). Is (1 + 0)\/(k\/268) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 179752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:11 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxhj when four letters picked without replacement from vxhvxvxxvxxxhjxxxh.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 4 - sqrt(13)) + 2)**2*2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:58 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 2. Let s be t(-4). Factor -n**3 + n**3 - n**3 - n - 2*n**s.\nAnswer: -n*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60730*o - 80403?\nAnswer: -60730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -13*o**2 - 9*o = 0?\nAnswer: -9\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*y = -57, y + 18 = -2*c + 152. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 - -3. Sort 0.02, o, -1.\nAnswer: -1, 0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*y = 67*y + 1449 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -460691571 and 23.5.\nAnswer: -460691547.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 17329*v**2 - 3*v - 1. Let f(m) = -11*m. Give f(p(h)).\nAnswer: -190619*h**2 + 33*h + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 2, j: 1, g: 1, w: 1, n: 1}. Give prob of sequence jgk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4*o**3 - 16*f**4 + 10*f**2*o**3 + 3*f**2 + o**3 wrt f.\nAnswer: 48*f*o**3 - 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 20, 3*b + 2*p = 5*p - 6. Suppose -5*t = -3*i + 28 - 1388, b*i + 540 = 2*t. Calculate the greatest common factor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10000011111110100001011?\nAnswer: -10000011111110100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 1784*o - 34618.\nAnswer: 2*(o - 911)*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 10, a: 6}. Give prob of sequence aa.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -92\/49 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394356977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 5*f**2 - 2*f - 4. Let x be o(-2). Let r(p) = 2*p**2 - 6*p + 4. What is r(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0711715757 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (10 - 2)*-1. Suppose -c - 308 = -0*c - 2*y, -3*c = 3*y + 960. Is c\/(-12) - (-4)\/v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65340 divided by 13068?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 140 in descending order.\nAnswer: 140, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86 - b**3 + 0*b**3 + 112 to h*b + r + m*b**2 + w*b**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - ((-65)\/25 - -4)*-5. Let f(l) be the first derivative of 2 + u*l + 2\/3*l**3 + 3*l**2. Suppose f(w) = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -377. Let w = o + 310. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 1 + 6. Let x(f) = f + 6. Let s be x(c). Solve -7 = 2*t - s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025 = -304*n + 309*n. Let o = n + -203. Solve -2*w + 10 = -2*p - 0*p, -o*w + 12 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {e: 3, g: 3, c: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.03, 0.2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26193.8 - 26194. What is the nearest to -1 in -2, 42, -1\/13, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 34 = 2*s, -14 = 4*d - 6. Suppose -y + s = -33. Suppose 4*b - 2*u - y = 0, -b - 12 = 2*u - 35. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333019021 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -619ff - 4?\nAnswer: -61a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53.3 + 80.2. Let x = w - 27. Sort x, 1\/6, 2 in ascending order.\nAnswer: x, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q. Calculate b(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 0)**2 + sqrt(11))*-5 - (sqrt(99)\/(sqrt(36)\/sqrt(4)) + -5)**2.\nAnswer: -5536 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133302132113 (base 4) to base 10.\nAnswer: 8333207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/((-36)\/(-96)*-4)*(-4)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 - -221. List the prime factors of d.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/450 + 47*l**4\/180 - 2*l**3 - 133*l**2. Factor i(x).\nAnswer: -2*(x - 45)*(x - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 2. Let i(t) = t**3 - t + 1. Let d be i(2). Let m(s) = 6*s + 4. Let k(w) = d*p(w) + 3*m(w). Determine k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 8*k - 5*j = 0, -12 = -2*k - j. Solve -i = -2, -k*i + 5*i = -2*l - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4292 - -11.4292. What is the second biggest value in 0.3, -2\/11, g, -2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**3 + 36*y**5 + 10*y**3 - 60*y**5 - 5*y**3 + 18*y - 1 wrt y?\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 76 (c) 0.04 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 4. Let t be (o + 3)*(-2 - -1). Is t >= 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, y: 13, u: 1}. Give prob of sequence yyv.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -48, -2, 0, 6, -139.\nAnswer: -139, -48, -2, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12787 - 12662. Is p less than 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**4 + r**2 + 9175*r + 143923?\nAnswer: -4*r**3 + 2*r + 9175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*y - 1352952 + 1352952.\nAnswer: -46*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -637306251 divided by -3099\nAnswer: 205649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -192594*v**3 - 4*v**2 - 2. Suppose 0 = -6*g + 2 - 20. Let u be w(g). Round u to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (84 + (-63860)\/760)\/(2\/692)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 - 25 = 0. What is the highest common divisor of 50 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6736 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -4 + 22 + 13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1, 2, 2\/3 in increasing order.\nAnswer: -3, 2\/3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 + 7*u**2 - 10*u**2 - 16*u**2 + 0*u**2.\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 5*f**2 - 4*f - 3. Let i be g(-5). Let j = 8 - i. Is 84\/j*(-18)\/7 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cc270f (base 16) to base 15\nAnswer: -12943b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61808916 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 + 63.4. Let v = u + -28.4. Let k = v + 37.62. Round k to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddzd when four letters picked without replacement from zzdzdzdddzdddzdzzzz.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - -34. Let u = 82 - l. Let h be ((-1)\/(-2))\/((-25)\/(-30)). Which is the nearest to 0? (a) u (b) h (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21345 and 980.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -88, -102, -122?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + -11?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -8\/15*m**6 + 64\/5*m**5 + 1\/105*m**7 - 22*m**2 + 4096\/3*m**3 + 0 - 512\/3*m**4 + 0*m. Let a(v) = 0. What is v?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = -0*l - l. Solve -2*r = -6, 3*b - r - r - 3 = l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/12 + 5096*f. Let i(k) = 30*k**3 - 6*k**2 - k. What is -i(d) - 6*l(d)?\nAnswer: -30*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1285*x + 2428*x + 1830*x in the form u + k*x and give k.\nAnswer: 2973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12413102 (base 5) to base 7.\nAnswer: -1021213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196\/(-588))\/(2\/54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -10. Let a be (x\/6)\/(1 - 244\/240). Sort a, -4, -3 in decreasing order.\nAnswer: -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 + -48. Let x = 2 - 2. Let c be -1 - x - b\/(-2). Solve 0 = -5*u + c - 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*s**2 - 613*s**2 - 353*s**2 + s + 173*s**2.\nAnswer: -709*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1 - 1353*u + 1 + 1361*u. Let y(j) = -5*j**2. Determine y(n(t)).\nAnswer: -320*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 14 - b**2 + 8)*(-20*b + 15*b + 12*b) + b**2 + b**3 + b**3 - 4*b**3.\nAnswer: -16*b**3 + b**2 - 42*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -1\/24*h**4 + 0*h + 0 - 1\/30*h**5 - 1\/3*h**3 - 2*h**2. Let y(u) = 2 - 4 + 5*u**2 + 3*u + u**2 + 7. Give 8*l(m) + 3*y(m).\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, 150, 355, 638, 993, 1414, 1895?\n\"Answer: -u**3 + 48*u**2 - 16*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/(9\/6). Differentiate 2 - 3*j + 0*j + 0 + f with respect to j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1073*y + 16. Let t(r) = 2148*r - 28. What is -7*m(w) - 4*t(w)?\nAnswer: -1081*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -15. Let n(c) = -23*c**2 + 2*c + 1. Determine n(d).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 6:14 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197181 - 100626 = -92*h + 99959 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16252 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/2 and -6 + (-11 - 511758\/(-30719)) - (-4)\/34.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (2 + sqrt(12))) + 2 - (sqrt(12) - sqrt(36)\/sqrt(3))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -7, -2\/5, 2\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 435873609 divided by 183\nAnswer: 2381823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a - 3*t + 713, -4*t = -4. Let j = a + 4951\/14. What is the common denominator of -4 + 3 + (-202)\/(-16) and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 + 244*o**3 + 62640*o**2 + 4023344*o + 81556816 = 0. What is o?\nAnswer: -58, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -101*a**3 - 5*a**2 + 8*a + 15. Let h(f) = 50*f**3 + 3*f**2 - 4*f - 8. Let z(j) = 11*h(j) + 6*o(j). Does 12 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/11220 and 121\/1740.\nAnswer: 325380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -291.473 times -5.4?\nAnswer: 1573.9542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, v: 6}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25760047 to the nearest integer?\nAnswer: 5075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.06 from -25.593.\nAnswer: -24.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-315)\/(-54))\/(-35)*(25 - 29). Determine o so that 2\/3*o**2 - 40\/3 + u*o = 0.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.76 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*p**2 + 12104*p + 1097436.\nAnswer: 12*p + 12104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 324, 616, 870, 1086?\n\"Answer: -19*m**2 + 349*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.02764*-0.4\nAnswer: -0.011056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, u: 14}. What is prob of picking 2 u?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135615, -271233, -406851, -542469, -678087, -813705?\nAnswer: -949323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:05 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -15) + (-2 + (37 - 10) - -2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 1467752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*r**3 + 2*r + r**4 + 2996*r**2 + 3004*r**2 - 6001*r**2 + 1 as z*r**4 + g + h*r + t*r**2 + c*r**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.4. Let s = -65\/2 + 193\/6. What is the second biggest value in t, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 499 - 495. Put -2, f, 5 in ascending order.\nAnswer: -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1815*h - 10889. Let x be r(6). Solve 10 + x = i + 5*c, 6 = 2*i + 2*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (1 - 3)*-1. Suppose -5*n + 5*t - 3*t = -18, 2*t = 3*n - 10. What is the derivative of a - 5*a + n*a + 3 + s*a wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = 1. Suppose -9*r + 8*r = 1. Let t = -4.6 - -5. Which is the nearest to h? (a) r (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(-4*98\/(-28)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 + 8*f**2 + 19*f - 2. Let l(n) = n**3 + n**2. Give 5*l(i) - w(i).\nAnswer: i**3 - 3*i**2 - 19*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2008, 3, -2 in descending order.\nAnswer: 2008, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/6)*d**(6\/13)*(((d**(-1\/5)*d)\/d)\/d)\/d**(2\/35) assuming d is positive.\nAnswer: d**(-1717\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130*r**3 - 100*r**2 + 612438*r wrt r.\nAnswer: 780*r - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**2 + 41*u - 1. Give z(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -314. Calculate the common denominator of 2\/7 + l\/105 and -41\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, 0, 1\/2, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*i + 56, -x = -3*x - 3*i + 57. What is the second derivative of -x*d**5 - 81*d - 76*d + 56*d - 33*d**5 wrt d?\nAnswer: -1380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*f - 1)*(-2*f + f - f)*(-4*f**3 + 4*f**3 + 4*f**3).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 6 + -3 - (550 - 437)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -28\/5, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-144)\/(-81) + 12\/54. Solve -3*l + 5*g = 3*g + a, 3*l + 5*g = 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccc. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/((-8)\/14))\/(2\/(-14)). Suppose 44*c + 135 = i*c. What is the greatest common factor of c and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16007 and 9396109.\nAnswer: 9396109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:47 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/66)\/(9\/(-6))*(-2088)\/(-120)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 610, 540, 482, 442, 426?\n\"Answer: w**3 - 77*w + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-147)*(-21)\/(-18)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 - (70 - (-142 + 130)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.4560995 microseconds?\nAnswer: 0.000000024268325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26 - (-1 + -2 + 3). Suppose -8*q = -6*q - w. Calculate the remainder when 37 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*q - 318*q = 321*q + 335 for q.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/3*(-3843)\/42. Suppose -2*j + j = -5*i - 654, 4*j = -2*i - u. Let c = i + 185. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 3552*l**2 - 3548*l.\nAnswer: -4*l*(l - 887)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 - 92. Calculate the highest common divisor of s and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4586.\nAnswer: 2, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.02 - -27. What is the biggest value in 0, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((0 - 7)\/(-7)). What is the smallest value in n, 19, -2\/23?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 110 = b. Let p = b + -7. Let d = -13 + p. Solve -5 = d*l - l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*x**3 + 245114*x - 9501077.\nAnswer: -33*x**2 + 245114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 11:53 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48523 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095 (base 11) in base 9?\nAnswer: -1864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/25917161?\nAnswer: 2\/25917161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2211305 is divided by 1105639.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**22)\/(j*j**(-20)))**(-37))**15)**26 assuming j is positive.\nAnswer: j**(-606060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 167, 348, 533, 722, 915, 1112?\n\"Answer: 2*z**2 + 175*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 991*i**2 - 3944*i + 22. Determine o(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.111 - -0.051. Which is the third smallest value? (a) 3 (b) 0.03 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeea when four letters picked without replacement from eaaeaaeaeiaaeeaeeaee?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b + 22. Let w = b + 15. Suppose -w*n + 2 = -2*n. Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*k + 1. Let b(h) be the second derivative of 0*h**2 + 0*h**4 + 3\/10*h**6 + 0*h**3 - 1\/10*h**5 - 1\/6*h**7 + k*h + 0. Factor b(w).\nAnswer: -w**3*(w - 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 6. Let j be u(-6). Let v(t) be the second derivative of -1\/6*t**3 - 3\/2*t**2 + 2*t + j. Give v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70706262 and 27775.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -1017?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-411)\/45 - 32\/(-240)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 + 3 + -1. Suppose -5*x + 2*x = -g. Is (-1)\/(2\/(-6))*x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -29. Suppose q = -2*s - 2. Sort s, -3, 1 in ascending order.\nAnswer: s, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -b + 11, -2*b + 7*b = 5*z - 5. Let n(x) = -x - 2. Let w be n(z). Solve u = w*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -4*w**2 - 57*w + 92. What is t(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2 + 12*m + 12. Let x(h) = h + 1. What is -36*x(a) + 3*y(a)?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 210945375 less than or equal to 210945375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/2 (b) 3\/32 (c) 16969\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 1. Suppose -k + 45 = a*k. Let b = k + -7. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -150 and 1224.6335176.\nAnswer: 1074.6335176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (39\/(-78))\/(2\/(-4668)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1019 + 2186615.\nAnswer: 2186614.8981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 31 = -2*g, 0 = 4*g + 5*h - 39 + 12. Solve -3*z + 7*z = g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((((sqrt(216)\/sqrt(4) - sqrt(54)) + sqrt(54) + sqrt(54))*-6)\/(sqrt(144)\/sqrt(3)))\/(6*-4*sqrt(12)\/sqrt(2)*-3).\nAnswer: -2 - sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 + 72064*s - 72062*s - 10*s**3 - s**3 - 23 as j*s**2 + n + c*s**3 + g*s and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373689 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 12:54 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 7*v - 3*v - 25, -4*y + 8 = 2*v. Let s be 2\/5 + 96\/v. Let b be (-1)\/(((-6)\/2)\/12). Solve -2*z + s = -d - 3*z, -b*z + 5 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103771 greater than 103769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 5*m - 1, -2 + 0 = -2*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 11. Let i = -328.9 + 310. Let r = b + i. What is r rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(198)\/(sqrt(24)\/sqrt(4)))\/(sqrt(44)\/sqrt(4)*2).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -192 (b) -5 (c) 1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.29 * -2\nAnswer: -4.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:42 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -5, 120, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let j = k + 8. Suppose g + j = -g. Let y(c) = 10*c + 7. Let p(v) = -7*v - 5. Determine g*y(u) - 7*p(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 186 = 191 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/3)\/s)*s)**19\/(s**(2\/11)\/((s\/(s*s**0*s))\/s)) assuming s is positive.\nAnswer: s**(2227\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 9*a + 4. Let m be (-144)\/(-32) - ((-3)\/a - 2). Suppose -5*z = -0*z + m*i - 6385, -5*z - 4*i + 6387 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 m when three letters picked without replacement from {m: 4, t: 3, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1244 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - i + 1896 = 0, 2*n - 4*i + 224 + 724 = 0. Let g = -224 - n. Suppose g = 8*o - 3*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -398\/9 equal to -850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 13, w: 1}. What is prob of picking 2 q?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258 - 231. Suppose -2*d + d = a*d. Find i such that d*i**2 - 4\/7*i**3 + 0*i + 0 + 2\/7*i**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3 - 27*g**2 - 45*g + 75 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*a - 2566*a**3 + 1483*a**2 - 40*a + 1166*a**2 wrt a?\nAnswer: -15396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03963971602 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1\/2051801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.69 + -0.676. Let u = i + -5.514. Let h = u - -6. Put 1\/3, 0.2, h, 7 in increasing order.\nAnswer: 0.2, 1\/3, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1612382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 587*l - 63497. Give u(-143).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-18)\/(-9) + 0. Let k(r) be the second derivative of 0 - 11\/6*r**3 + 0*r**4 + 4*r + 0*r**u - 9\/20*r**5. Find the second derivative of k(f) wrt f.\nAnswer: -54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*u + 37, 30227*z - u - 50 = 30230*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2. Let m(b) = 1. Let w(g) be the second derivative of 7*g**3\/3 + 6*g**2 + 18*g. Let v(f) = 12*m(f) - w(f). What is n(v(k))?\nAnswer: 588*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 111*n + 2218. Calculate z(74).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2206190 + 7.74.\nAnswer: -2206182.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -230\/11 + 2357\/88. Let n(t) = t**3 - 2*t**2 + t + 2. Let b be n(2). Calculate the common denominator of k and (-3)\/12 + 55\/b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 413 or 411?\nAnswer: 413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**2 + 3*d**2 - d**2)*(-2 + 1 - 1) + 3*d**2 + 0*d**2 - 5*d**2 + 144*d**2 + 3*d + 27108 - 27108 to h + p*d + r*d**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 3*f**2 + 5*f. Let p be t(4). Suppose 0 = q + 3*n - 977, 3916 = p*q - n + 5*n. Round q to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8746559 or -8746562?\nAnswer: -8746562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*o**2 + 79*i*o*z + 3*i*o - 8*o**2 - o*z - 24*o with respect to i.\nAnswer: -2*o**2 + 79*o*z + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/30)\/(((-1)\/(-7))\/((-90)\/(-63))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*n + 76318 = 981*n + 1716*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 781*u + 13741. Calculate m(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 5, -6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*n**2*u**2 + 703841*n**2 - 75*u**2 + 24*u wrt u.\nAnswer: -10*n**2*u - 150*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400214993.\nAnswer: 19, 29, 509, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 18 = 3*n, 0*n + 5*b + 19 = 2*n. Let p = 15 + n. Solve 0*q + 15 = q + 5*l, -3*l = -2*q - p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16156 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 643*w + 20 - 656*w)*(5*w - 1 - 2*w - 2*w) to the form o*w**2 + z + k*w and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -14453*x - 116058. Give c(-8).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 4. Let a(w) = -w**2 + 7*w. Let r be a(7). Let g be x(r). Solve -j + 2 = g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 - 356*p**2 + 1027*p + 4028. What is i(175)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) -0.4 (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 24 + 15. Suppose -3*r + x = -29. Let n = -23 + r. Are n and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 876377928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5136990 divided by -6.\nAnswer: -856165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 28, -7, -5, 32 in ascending order.\nAnswer: -7, -5, 0, 2, 28, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*u + 27*u - 12. Which is the closest to 0? (a) 1\/34 (b) u (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*i = -12, -3*c = c - 4*i - 12. Let p = 92 - 127. Let f = p + 31. What is the closest to c in 0.3, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 7)*(2438\/161 - 15).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-306)\/357)\/((-1)\/84) is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hvggghhggggrrrhghgh.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139*h**2 + h + 1?\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6555 is divided by 293.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -20*b**2 + 102*b - 9. Let r be x(5). Solve 0 = 9*q + r - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 52 = -2*r - 31, 2*r = 6. Let d(n) = -5*n**2 + 3*n + 12. Calculate d(h).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2126 - 2096. Suppose -b = -16 - 6. Suppose 0 = 4*k + x - 27, 5*k + b = x + 67. What is the remainder when z is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1365.5168 to 0 decimal places.\nAnswer: -1366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-27))\/((-2)\/6). Let i(b) = -b**2 + 7*b - 5. Let q be i(5). Suppose 2*y + q*p - 6*p = -13, 4*y + 32 = l*p. Sort y, 1\/10, -1 in descending order.\nAnswer: 1\/10, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/9 - 14\/45. Suppose -25*h = -33*h + 8. What is the nearest to h in 5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 5*q**4\/2 - 6*q**3 + 3. Find the third derivative of n(l) wrt l.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (4\/(-8))\/(1\/2). List the prime factors of p\/7 - (-477)\/126*60.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -14d9198d?\nAnswer: 14d9198b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1107299 and 0.29?\nAnswer: 321116.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6a966a (base 14) to base 5\nAnswer: -1412341240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p - 0*p. Let o be (-1 - (-1 - p))\/(-1). Put o, 0, 3 in ascending order.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**2 - 13*l. Let b(m) = 4*m**2 + 7*m. Let r(w) = -11*b(w) - 6*p(w). Let d be r(-1). Solve -o = 2*y + d, -5*y + 2*o + 15 = -3*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 15*k - 2*k - 9*k - 38. Let v be c(11). Solve -b - 1 = -v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217 + -200. Let z = u + -4. What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4 - 4504575*p**3 - 13513770*p**2 + 27027480*p + 36036672 = 0.\nAnswer: -4, -1, 2, 1501528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-32))\/((-6)\/(-8))*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 0*c**3 + c**3 + 13*c**2 + 0*c**3 - 13. Let a = -717550 + 717537. Calculate q(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.261 - -0.261. What is the third biggest value in -5, -0.2, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211768103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/3))**(-12) assuming q is positive.\nAnswer: q**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 + o - 1. Suppose -2*g = 3*l - 6, 12 = 4*l + 2*g + 2*g. Let c = l + 14. Calculate the remainder when c is divided by s(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, z: 6, b: 5}. Give prob of picking 2 z and 1 b.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -0.2, 2\/33, 8.4.\nAnswer: -1, -0.2, 2\/33, 4, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*d**5 + 64*d**4 - 304*d**3 - 1080*d**2 + 2916*d + 1080 = 0. What is d?\nAnswer: -6, -5, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyoooyyyooyyyyyyy. What is prob of sequence yyoo?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**7\/840 + j**6\/120 + j**5\/40 + j**4\/4 - 47*j**3\/6 + 57*j**2. Let c(i) be the first derivative of u(i). Calculate c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnnnnddndndnddnnndd. Give prob of picking 2 d and 1 n.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-3)*(82495 + 5). Round i to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 + 8141*i**2\/3 + 3727240*i\/3 + 415320400\/3.\nAnswer: -(i - 8581)*(i + 220)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = -q + 730. Suppose -4*w - 4*w = -q. What are the prime factors of w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 380.83 - 3698.63. Round q to the nearest 10.\nAnswer: -3320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3979 and 1211.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 290d1561 + 3?\nAnswer: 290d1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65902328?\nAnswer: 2, 37, 222643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - (-1 - -6)) + 673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, j: 4}. Give prob of picking 4 j.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5*(2*sqrt(78) + sqrt(78)))\/(sqrt(18)\/(sqrt(3)*1)))**2.\nAnswer: 2922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101831560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -3a0?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26386 and 34918.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + (87 - 95)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asb when three letters picked without replacement from skbsjja?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 41. Let a be ((-2)\/3)\/(8\/h). Let n = -49 - -48.98. What is the biggest value in 5, a, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37.89122g?\nAnswer: 37891220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -61.8. Let y = -9.2 + x. What is the closest to 0.1 in y, 5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 0.2 (c) 4.3178 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6260.016 years?\nAnswer: 75120.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-3))\/(6\/(-1)). Let j = 5 + -7. Let g = j - -1.8. Which is the second smallest value? (a) -2\/11 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 11953123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 - 2233*j**2 + 55224*j - 52992 = 0.\nAnswer: 1, 24, 2208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3866016 and 33264?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -426, -432, -438, -444, -450, -456?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12032 + -2211?\nAnswer: -14243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 70485.82 centuries?\nAnswer: 704858.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(84)\/sqrt(4)*-2)\/(sqrt(243)*2)*3.\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 - y**3 - 2*y**3)*(y + 2*y - 5*y).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -39539771 plus -114?\nAnswer: -39539885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, 0.5, 5, -2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, -20, -90, -190, -326, -504?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-3) - (3 + 55\/(-15)). Suppose -a*m + 1392 = 6*m. Suppose 2*g = 5*g + 2*l - 257, -2*g + m = 2*l. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5432880098.\nAnswer: 2, 71, 38259719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 2*k**2 - k. Let v = 5 - 7. Let o = -23 + 29. Let p be (-1)\/v*(o + -8). Determine d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38205 by -18.\nAnswer: 4245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/(-2) - 33\/(-11)) + 58051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) - 243\/(-12). Suppose -4*n - n = -u. Suppose 2*g + 0*g - 2 = 3*v, -g - n*v + 23 = 0. Calculate the remainder when 20 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10 = -2*k - a, -2*a = 2*k - 4. Differentiate 11*r**4 + 12*r**4 - 30*r**k - 7 with respect to r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0*b**2 + 0 - 3*b + 1\/3*b**3. Let m(f) = f**2. What is m(j(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 683509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 3:07 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.0774548 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(1215) - (sqrt(1215) + sqrt(1215) + sqrt(1215)*2)) - (1*sqrt(1500) - sqrt(15)))\/(sqrt(15)\/(5*2*sqrt(5))).\nAnswer: 190*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33448496?\nAnswer: 2, 43, 61, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 38*g - 17\/72*g**4 + 0 - 1\/3*g**2 - 1\/30*g**5 - 5\/9*g**3. Factor w(v).\nAnswer: -(v + 2)**2*(4*v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(44\/(-8) - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}