diff --git "a/data/dm_maths/full_data_1/10179_11255.jsonl" "b/data/dm_maths/full_data_1/10179_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10179_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 10*a - 57 = 131 - 58 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142739386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4216312, -16865310, -37946978, -67461322, -105408348, -151788062, -206600470?\nAnswer: -269845578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-49)\/28*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 10:16 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(108) - sqrt(108)))**2 + ((2 + sqrt(108) + 2)**2 - sqrt(108)) - (-1 + sqrt(108) + 2 + -5)**2.\nAnswer: 90*sqrt(3) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5162424?\nAnswer: 2, 3, 17, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2) + 2 - -4. Let b = j - 2. Factor 2\/7*l**3 + 2\/7*l**4 + 0 + 0*l + 0*l**b.\nAnswer: 2*l**3*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 21*m - 69. Let h be j(3). Let o(w) be the second derivative of 0*w**2 + 5\/6*w**4 - 7*w + 0*w**h + 0. Let n(u) = 2*u**2. Calculate n(o(k)).\nAnswer: 200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.063 + -0.463. What is the third biggest value in 2, 17, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4 and -37\/2656.\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(2\/9)\/q)\/q)\/q)\/q)**(-6\/7)*q*(q*q\/(q**11*q)*q*q)\/q*q*q\/(q\/q**(-13)) assuming q is positive.\nAnswer: q**(-352\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/4 + -18 - -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59022501 to the nearest 100000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.4. Let j = 0 + y. Let l be ((-2)\/36)\/(1\/4). Sort l, 2\/3, j.\nAnswer: j, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-4750)*(-525)\/(-21)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*r**2 + 190*r**2 - 93*r**2 - 40*r.\nAnswer: 4*r**2 - 40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -327*g - 1. Let m(v) be the first derivative of 2*v**3\/3 + 1010. Calculate m(s(b)).\nAnswer: 213858*b**2 + 1308*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1843, -2, 117, 0, -4, -6 in increasing order.\nAnswer: -6, -4, -2, 0, 117, 1843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 6*g + 3. Let i(q) = 6*q**3 + q**2 - q. Let z be i(1). Suppose z*x - 30 = x. List the prime factors of b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -105, -13, 149, 387, 707, 1115, 1617?\n\"Answer: f**3 + 29*f**2 - 2*f - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9*y = -4*y + 12, 3*y = 0. Suppose -d = v*d - 140. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1604 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9\/116, 4 in increasing order.\nAnswer: 9\/116, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 9256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6358\/6 - (-11)\/33. Round x to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 31*w + 116. Calculate k(27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaazsalassla. Give prob of sequence sz.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2.32.\nAnswer: 9.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -90337, -359028, -806847, -1433794, -2239869, -3225072, -4389403?\n\"Answer: -89564*v**2 + v - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3963*s**3 - 3969*s**3 - 3775*s**3 + 11727*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f6c + -d7?\nAnswer: 5e95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504584723?\nAnswer: 504584723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1130652595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10635 + -203?\nAnswer: -11141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.006 - 20.006. Let b = a - -21.14. Let u = b - 0.04. Which is greater: 2\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t + 49. Let i be q(0). Let b = i + -36. What is b rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by (-14)\/140*(-5 - -1)*10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199519 at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -149. Suppose 0 = 12*k - 12 - v. Solve 3*z = y + 7, 0 = -3*z - 3 + k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffcfcyyfcf. Give prob of sequence ffcf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 635906 <= 635904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = 4*o, 3*o + 4*i = -i + 10. Suppose -10*m = -o*m - 20. Solve -10 = 2*b, m*b + 28 = -2*l - 2*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 5 - 49. What is the remainder when 17 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188 - 341. Let u = o + 150. Suppose 0 = -2*v + 4*v. Which is the closest to 5? (a) u (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.6. What is the second smallest value in r, -2, -0.4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 150*s - 1. Let y be d(6). Let l = -121 + y. What are the prime factors of l?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 232.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74 - -7?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -3, -343\/96, -17, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24476\/406 + -60 - (-64)\/(-126)) + (-194)\/(-63)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from xxzxzzzzxzz?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38180237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/7 - (-1 - (-60)\/(-18))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:15 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 + 2*j + 8*j**2 - 27*j**2 + 1 + 9*j**2 as x*j + f + k*j**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211000 (base 3) to base 13.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086 - 9*x**2 + 1086.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amammmh. Give prob of picking 2 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.534365806 to 2 decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8511, -2.66, -0.3, 1.\nAnswer: -8511, -2.66, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/2 - ((-378)\/3)\/6. Solve -5*f = o - 2*o + i, 4 = 4*o - 4*f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43346712.\nAnswer: 2, 3, 1806113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) -0.037 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 0.057, -0.4, -374 in decreasing order.\nAnswer: 0.057, -0.4, -93, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4340233 + 3?\nAnswer: -4340230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1)*(-12)\/(-1). Suppose n = 5*f - 113. Does 25 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7741530 by -9.\nAnswer: 860170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45.8 - 46. Let t = 55\/36 - 16\/9. Sort 5, f, t in descending order.\nAnswer: 5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 - -160. Let r(q) = 13*q + 15. Let o be r(t). Which is bigger: 1\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496 is divided by 2285?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1270 and 70311518.\nAnswer: 351557590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -689*u + 34. Let z be k(-10). Suppose 2*n - z = -4*l, 3*n = -5*l - 5177 + 13830. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 17*g**2\/2 - 4*g - 2. Let h(c) = -c**3 - 8*c**2 + 9*c + 2. Let f be h(-9). What is the remainder when r(f) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61959 - -2?\nAnswer: 61960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 401*w - 40503. What is k(101)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71.82 + 71.82. Which is the closest to o? (a) -0.1 (b) -24 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.264043728 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1694\/2 + 8*(-39)\/(-104)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 17*k**2 - 35*k - 47. Give z(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11 = -1. Let t(h) = 2*h. Let d be t(1). Let q be d\/4 - (-18)\/(-4). Which is the second biggest value? (a) q (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-222)\/(-259))\/(((-8)\/(-14))\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/2 - 139449*d**2\/2 - 4861436175*d\/2 + 4861575625\/2 = 0?\nAnswer: -69725, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s - 15 = -5*x, 4*x - 2*s - 12 = 0. Suppose 0 = -x*j + 2*j + 4. Suppose 0 = -6*w + j*w - 4. Let f(c) = c**2 - 2. Determine f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -3.8. Which is the nearest to -4? (a) 1\/8 (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -s - 3*s, 2*d - 23 = -3*s. Sort 0.12, -3, d, -0.3 in ascending order.\nAnswer: -3, -0.3, 0.12, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 21665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g**2 - g. Let s(b) = 141*b - 4. Let o(h) = 14946*h - 423. Let d(q) = -4*o(q) + 423*s(q). Calculate d(t(k)).\nAnswer: 1974*k**2 + 141*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:21 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5520 - 661b1?\nAnswer: -60891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 1002335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-123 + 2 + 5)*(3*q + 2*q - 3*q).\nAnswer: -464*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 3780654*n.\nAnswer: -3*n*(n + 1260218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266 is divided by 571?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 48 = 4*x + 32, -4*s + 16 = -2*x. Suppose 5*m + 4*w - 8 = 17, 2*w = -2*m + 10. Solve -4 = -4*z - m*i, i = s*z + 5*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from fvvxhfhfvf?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -11*w + 13*w. Suppose 4*t - 45 = -w*n, 5*n + 3*t + 2*t = 50. Solve 9*f + 8 = n*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48119, -48133, -48149, -48167, -48187, -48209, -48233?\nAnswer: -48259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 8. Let p = y - -12. Which is the second smallest value? (a) 1\/2 (b) -1\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 10. Suppose 3*h - 3*y = 2 + 7, -2*h = -4*y - 2. Let c be g(h). Suppose c = 4*k + 5*x - 89, -8 + 153 = 5*k - 5*x. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3568654, 3568656, 3568658?\nAnswer: 3568660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5176 divided by 29\nAnswer: -5176\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20888466923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*a - 14*a - 43*a - 13*a + 32*a**2 - 6*a**2 as j*a + h + z*a**2 and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -145?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5237 + -5259. What is the second smallest value in t, -1\/2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-9))\/(4\/(-36)). Do -3 and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let b(n) be the second derivative of n + 1\/24*n**4 + 0 - 1\/2*n**2 + 0*n**3. Let o(y) be the first derivative of b(y). Determine o(z(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11745)\/(594\/(-22)) - 16 is divided by 168?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 9*g. Let q be (6 + -3)\/((-3)\/(-7)). Let r be d(q). Let p = r + 4. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 5*f**2 - 5*f - 4. Let m be p(6). Let b(r) = r**3 - 2*r**2 + 2*r - 2. Let x be b(m). Suppose x*a + a = 45. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98542 = 332*p - 361*p. What are the prime factors of p?\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 80*j**2 + 1609*j - 133556. Determine l(79).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 9. Suppose w - 13 + 5 = 0. Let f(x) = x**3 - 9*x**2 + 7*x + 8. Let a be f(w). Sort g, 0.5, a in increasing order.\nAnswer: a, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -8*w + 11*w. Let o(u) = -3*u + 13. Let h be o(w). Let k(r) = -2*r - 4. What is k(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + 3\/(-12). Suppose -6*z + 5*z + 3 = c. What is the third derivative of -n**z + 2*n**2 - 3*n**3 + 2*n**3 wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-1\/5)*h*h\/(h\/(h\/(h*h*h**(8\/7))))*(h**(-3\/2))**(-2\/29) assuming h is positive.\nAnswer: h**(163\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b4f5 (base 16) in base 15?\nAnswer: -23226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 311*o**2. Let w(n) = 3*n**2 - 6. What is w(g(s))?\nAnswer: 290163*s**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357.048 + -357. Let y = r - -100.952. Is 0 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*k + 75200 = -116*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/13, -80, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40062 + -21569. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = -x, 38*z - 10*x + 40 = 41*z. Solve z = -12*f - 38*f - 350 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -567\/8031046?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*x**3 + 152*x**3 + 2*x - 407*x**3 + 145*x**3 + 101)*(5*x - 3*x - 10*x).\nAnswer: 8*x**4 - 16*x**2 - 808*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8976.98 - -0.4.\nAnswer: 8977.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-27)*j)**(-9)\/(j**(-6))**(-4\/29) assuming j is positive.\nAnswer: j**(-7854\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = -2*l + 12, -2 = -j - 3*l. Let d be j + -1*8\/(-2). Solve 0*o + 3*o = d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r**3 - 59*r**3 + 11*r**3 - r**3 - 3*r**3.\nAnswer: -101*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3901218 divided by 6?\nAnswer: -650203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 14) to base 5\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 - -111. Solve 0 = -7*r + a*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-660)*11*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 12*d = -287. Suppose -4*j - 234 = -5*f, -d = -f - 0*j - 5*j. Suppose -f*n = -41*n - 810. Calculate the highest common factor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/13215 - -5192\/621105. Sort -6, -4, x in descending order.\nAnswer: x, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/10054 and 32\/5941.\nAnswer: 130702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 3, g: 2, v: 2, r: 9, d: 3}. Give prob of sequence gvge.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11770838 by -3.\nAnswer: -11770838\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233 + 226. Which is the smallest value? (a) -0.5 (b) -2\/19 (c) w (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/11 + 4\/(-3*(-660)\/306). What is the second biggest value in 5, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 14. Let z be a(3). Put -4\/7, -0.2, z in ascending order.\nAnswer: -4\/7, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/10)*p*p**(-1\/2)*p assuming p is positive.\nAnswer: p**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*x + 2*j + 2*j, 2*x - 14 = -4*j. Let o be (-2 - x) + 752\/(-4 + 5). Suppose 6*c + 123 = o. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 9*v**4\/2 + v**3\/6 + 19*v**2\/2 + 16*v. Let k be (14\/(-42))\/((-2)\/24). Is q(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002406517234 rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 15) to base 8.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7.936 * -0.4\nAnswer: -3.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6756450.\nAnswer: 2, 3, 5, 31, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2453 and 365075852346.\nAnswer: 365075854799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1503aa (base 12) to base 15.\nAnswer: 6e934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -589\/5 smaller than -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 310128227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121052 and 20?\nAnswer: 605260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -228 + 233. Suppose 113 = -t*h - 132. Which is smaller: h or -47?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*o**4 - 6*o - 52 - 114*o**4 + 5*o wrt o.\nAnswer: -2088*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302 (base 10) to base 4.\nAnswer: 10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 178 = -5*s, 0 = s + 4*p - 2*p - 46. Calculate the remainder when 227 is divided by s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -19.5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*a**3 + 22*a + 126*a**3 - 118*a + 96*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43.34 - 43. Let n = l + -1.34. Which is the closest to n? (a) -1 (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16116 and 85?\nAnswer: 80580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 55*m + 18. Let z be d(18). Suppose -4*u + 3*x - 14 = 6*x, z = 3*x + 6. Sort -3, 0, 1, u in descending order.\nAnswer: 1, 0, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 4*t + 4. Let w be k(4). Let q = w - 5. Let o be (q + 1)\/((-12)\/(-6)). Solve o*n + 1 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18181.8 to the nearest one hundred.\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Suppose m = -f + 122, 0 = 4*f - t*m + m - 479. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 298\/(-14) - (-16)\/56. Let t = -2069 + 14481\/7. Which is the closest to t? (a) -2\/5 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 9*a - 113 = 0, 0 = 2*m + 4*a + 162 - 216 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 30*v**2 - 3*v - 4. What is the remainder when f(-3) is divided by 1 + ((-142)\/(-355) - (-108)\/5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + m**2 + 2*m)*(-10*m + 41 + 29 - 74) as l*m**2 + o + v*m + a*m**3 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -w - w - 19, -4*w + 2 = 2*a. Let b be ((-24)\/9)\/(w\/3). Let t(d) = -5*d - 5. Let l(c) = 9*c + 9. Let p(x) = -4*l(x) - 7*t(x). What is p(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278313?\nAnswer: 3, 7, 29, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from zzzlbiiizziizziziii.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 5*p - 1. Let a be v(5). Let i(n) = -n + 1 + 14*n - 5*n + 4*n**2 - 6*n. What is i(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycpxpppic. What is prob of sequence iy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 953944.\nAnswer: 14309160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-1)\/(-1))\/((-27)\/189))\/(-1). Let u(f) = f**2 - 6*f + 2. Give u(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-110)\/(-120))\/((-4)\/6906). Suppose -22*z - 9468 = -28*z. Let s = z + f. Find the common denominator of s and 21\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 + -107. Let r*b**3 - 1\/5*b**4 + 1\/5*b**5 + 0*b + 0 + 0*b**2 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1 - 2 + 4 - 2*q**2 - 5*q + 4. Let k(d) = d**3 + 3*d**2 + 3*d + 4. Let z be k(-3). Let a(r) = -3*r**2 - 8*r + 8. Give z*a(l) + 8*s(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9855, -19712, -29569, -39426?\nAnswer: -49283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*y, 2*i - 58*y - 11 = -28*y - 33*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 5460700*h**2 + 10921397*h + 5460698.\nAnswer: (h + 1)**2*(h + 5460698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/5*(-11 - -1). What is the greatest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 15*x**2 - 24*x - 20. Let g be y(13). What is the thousands digit of 2\/(-12)*-3 - (-6291)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 647410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 39*q + 2650. What is the remainder when v(-34) is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122 by -105.\nAnswer: 122\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4 + 12*f**3 - 4*f**2 - 12*f = 0. What is f?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:39 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033041 (base 8) in base 3?\nAnswer: -112000121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u. Let p(y) = -139*y - 152*y + 305*y. Calculate p(d(l)).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1*k**(-8))\/(k**10*k*k**2))**(-14) assuming k is positive.\nAnswer: k**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 12, 0.1, -0.5, -3, 73, -0.014, 0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let g(a) = 83*a - 103. Let h(p) = g(p) - 4*i(p). What is the derivative of h(d) wrt d?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1539.9998942 + 1540. What is g rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 - 773*g**2 + 4 - 3*g**3 + 773*g**2 - 37*g as m*g**2 + z*g + n + f*g**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1672*i - 6214. What are the prime factors of c(21)?\nAnswer: 2, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 0.1312187?\nAnswer: 2.624374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 42, 100, 210, 390, 658, 1032?\n\"Answer: 3*g**3 - g**2 + 6*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 22.12. Let h = -9.8 - n. Which is the second biggest value? (a) -2 (b) -0.1 (c) h (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.99 - 17.5. Let t = -0.11 - h. What is t rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**7\/56 + b**6\/10 + 3*b**5\/80 - 5*b**4\/8 - b**3\/2 + 3*b**2 + 6*b. Factor n(p).\nAnswer: 3*(p - 1)**2*(p + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.96279 rounded to one decimal place?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 636640 or 636639?\nAnswer: 636640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249490.\nAnswer: 2, 5, 61, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 78\/30 + -3 + 51\/15. Factor 3*g + 5*g + 26*g**3 - g**5 - 23*g**k - g**4 - 6*g + 5*g**2.\nAnswer: -g*(g - 2)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 180\/144 - 37\/8*-134. Let k = -3701\/6 + p. Let 2*a**5 + 13\/6*a**3 - 1\/6*a - k*a**4 + 0 + 1\/6*a**2 = 0. Calculate a.\nAnswer: -1\/4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 16 - (1 - -18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**3\/3 - g**2\/2 + 10*g + 9. Let v be t(7). Calculate the greatest common factor of 26 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = 6. Which is greater: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (534\/(-8))\/((-39)\/104). Suppose -5*i + o - n = 0, -6*o + o - 160 = 5*i. Let z = -31 - i. What is the highest common divisor of z and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -429*d**2. Let i(g) = -18*g**2. Determine x(i(u)).\nAnswer: -138996*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2715*y - 11. Calculate w(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 - 86*q + 49. Let s be z(21). Let r(o) = 29*o**3 - o - 4. Let y be r(4). Suppose 385 = -s*v + y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12 - 38\/(-8). Suppose -h*f + 59 = -3*w, 23 + 9 = 2*f - 4*w. What is the lowest common multiple of f and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -764*g - 806*g - 4*g**2 + 2371*g - 17*g**2 - 799*g.\nAnswer: -21*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-180)\/50 - (-1 - 3). What is the nearest to 1\/8 in -2\/11, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -333511\/594 - -6147\/11. Calculate the common denominator of 59\/36 and i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:49 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6555654 and 10\/293139.\nAnswer: 72112194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.07 - 22. Let n = h - -4.93. Let s(j) = -j**3 + 2*j**2 + 6*j + 4. Let v be s(-1). Are n and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 24512 = -i, -3*w + 30505 = -5*i - 6237. What is the highest common divisor of 22 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 217 and -201251.\nAnswer: -201034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*w**3 - 185*w**2 + 129*w**2 + 109*w**2 + w to the form u + k*w + z*w**2 + o*w**3 and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/11 + 144*u**3\/11 - 208*u**2 - 10944*u\/11 - 11552\/11.\nAnswer: -2*(u - 38)**2*(u + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-4 + ((sqrt(63) + sqrt(63)*2)\/sqrt(9))**2 + 3 + sqrt(567) + -1)*3.\nAnswer: -9*sqrt(7) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4645700 to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o. Let q be v(-2). Let g be ((-25)\/q)\/(1\/2). Let h = 0.6 + -2.6. Put 3, h, g in decreasing order.\nAnswer: g, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 162709, 325415, 488121?\n\"Answer: 162706*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/8*(-12)\/(-240)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-1 + (-6)\/(-10)). Suppose -u*r + 14 = -2. Solve j - 2 = -o, 2*j = -0*o + 2*o - r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 159.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-5))\/((-2)\/(-60)). Sort 6\/5, 1, x in decreasing order.\nAnswer: 6\/5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -10, 3, -13768?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 1870*b + 1869. Determine s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 4*c. Let s be 6 - 39\/26*-2*(-2 - -1). Solve b + 4 + c = q, 10 = s*q - b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-112)\/(-40))\/((-2)\/(-10)). Suppose -2*u = -3*j - 25 + 1, q = 3*u + j. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -53011 and 18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4*-449514.39\nAnswer: 1798057.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4196993, -4196994, -4196991, -4196984, -4196973, -4196958, -4196939?\n\"Answer: 2*b**2 - 7*b - 4196988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-22*r**2 + 7*r**2 - 19*r**2) + (3*r**2 - 2*r**2 - 3*r**2)*(1 + 4 - 4) - 3 + 3 - 2*r**2.\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q = 26*q + 2*j - 747, -j + 1252 = -5*q. Let a = q + 251. Solve 50\/11*d - 20\/11*d**2 + a + 2\/11*d**3 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 78 = 48. Let r be (1 + -10)*(a + -17). Suppose -14*p - 5316 = -r*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -79*g + 2. Let p(a) = 222*a - 5. Calculate -4*p(b) - 11*z(b).\nAnswer: -19*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(3\/24*4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/33 (b) -2.9 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606518121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/10*200\/(-120)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from iqqqqiqqqqqqqqiq?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.309251894 to 3 decimal places.\nAnswer: 3.309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*c + 61*c + 0*c**2 + 77*c**2 + 2*c**4 + 1 - 31*c in the form m*c**4 + f + a*c**3 + l*c + u*c**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1249396984 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1549, 3288, 5027, 6766, 8505?\nAnswer: 10244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a century in years?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7019779\/60 + 116999. Calculate the common denominator of b and -113\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 323048 + 4?\nAnswer: 323052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2707.5 + -2707. Sort -5, t, 104 in descending order.\nAnswer: 104, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 7*x + 3*m = -4, m - 4 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21602 is divided by 89.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1003634944 rounded to four dps?\nAnswer: -0.1004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44039637 divided by -38.\nAnswer: 44039637\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose 0 = n + 3*p - 55, 0*n - 209 = -t*n + 2*p. Let q = n - 37. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*n**3 - 25*n**3 + 66*n**3 + 43*n - 43*n + 32*n**3 + (-2*n**2 + 0*n + 0*n)*(0*n + 4*n - 3*n).\nAnswer: 81*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*j. Let n be j*1*(3 + -4). Is 9 a factor of 2*(3 - (-17 - n))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r + 42. Let q be c(-9). Let o(l) = 361*l - 7. Is o(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 5. Let g(f) = -45*f + 95. Let q(p) = -9*p + 245. Let j be q(27). Let y be g(j). Which is the nearest to v? (a) 4 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*b + 49*b**2 - 62*b**2 + 294*b.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -338*v**2\/21 - 23816*v\/21 - 419528\/21.\nAnswer: -2*(13*v + 458)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10802511 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 113013953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223, 208, 181, 136, 67, -32, -167?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/8))**(7\/12) assuming g is positive.\nAnswer: g**(-7\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-30) - (-5)\/(-25). Let w = -14 - -19. Which is the closest to x? (a) w (b) 2\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 192*j + 261. Calculate the lowest common multiple of o(-1) and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 341, 1161, 2757, 5387, 9309, 14781, 22061?\nAnswer: 31407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303829833*o**2 + 180807*o + 427.\nAnswer: -607659666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:09 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.982996 to one decimal place.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21737612.\nAnswer: 2, 13, 418031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-147)*336\/24.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cciiiccu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-837) + 457\/27.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(132) - -5*(sqrt(132) + -1*sqrt(132)))\/(-1*sqrt(192)*-2 + sqrt(192) + sqrt(192)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -7 (b) -1\/5 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i**2 - 63*i + 1542. What is y(16)?\nAnswer: -1770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145928 and 8740584?\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2931 (b) 2 (c) 1\/5 (d) -0.51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d*k**2 - 10*d*k + 17006*d - 2*k**2 + 11*k wrt k?\nAnswer: -6*d*k - 10*d - 4*k + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/2, -51\/13, -2, 1\/4, -11\/6, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*n**3 - 90*n**3 - 13*n**3 + (-2*n**2 - n**2 + 0*n**2)*(3*n + 2*n - 3*n) to the form u + v*n + c*n**3 + o*n**2 and give c.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -406116.33 to the nearest 1000.\nAnswer: -406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 5*s + 5*s)*(-2 - 4 - 2*s**3 + 2).\nAnswer: -4*s**5 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c = -166 - 2 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*m + 1 = 0, -7 = 4*i - 3*i + 5*m. Solve 0 = -3*j + 2 - i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1866\/7 - -267. Let o be 0 + ((-6)\/1202)\/3. Let i = o + -1187\/9015. What is the smallest value in b, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104\/19*j**4 + 6\/19*j**5 - 176\/19 - 578\/19*j**3 - 184\/19*j + 828\/19*j**2 = 0. What is j?\nAnswer: -22, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 817 - 968. Suppose 3*w + k = 5*t, 2*w + 11 = t - 47. Calculate the lowest common multiple of 24 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5041849416 to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**4 + 24*v**3 - 46*v**2\/5 - 96*v\/5 + 9 = 0?\nAnswer: -5, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 5*c + 4. Let r be f(-4). Suppose r*m = 4*l - m - 82, -2*l - 4*m + 32 = 0. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44\/(-60) + 1\/3. Let g = -205 + 206. Which is the closest to g? (a) v (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/(x\/(x**(-2)*x)*x)))\/x)\/x)**(-5\/7)\/(x**(2\/9)\/x)**(-23))**(-33) assuming x is positive.\nAnswer: x**(12892\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.061*-102844\nAnswer: 6273.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 52 = 5*g - 27, 0 = 2*g - 5*h - 17. Let r(b) = -5*b + 4. What is r(g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-5) - 6\/(-10). Suppose 0 = 2*c - b - 11. What are the prime factors of (-2)\/c - (-237)\/21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 9) in base 5?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05311 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 930126 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 392*b**5 - 51772*b**4 + 4223689*b**3\/2 - 26575677*b**2 + 206583129*b\/2 = 0?\nAnswer: 0, 9, 1597\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*i - 5 - 10 = 0, m - i = 5. Sort m, -4, 6 in decreasing order.\nAnswer: 6, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4718, 9319, 13920?\nAnswer: 18521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2 - 14*c + 13. Let s(h) = h**2 - 3. What is -q(r) - 4*s(r)?\nAnswer: 3*r**2 + 14*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 13, -52, -227, -560, -1099, -1892, -2987?\nAnswer: -4432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.003062cm to micrometers.\nAnswer: 70030.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8570760*z**4 + 8443465*z wrt z.\nAnswer: 102849120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-4\/7))\/x**(1\/3)*x\/x**(-2\/3)*x**(-1\/5) assuming x is positive.\nAnswer: x**(269\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -9017.6.\nAnswer: 9014.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 67*c - 26. Let i be p(-34). Solve -i*t + 20 = 52 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -3 (b) 0.5 (c) 7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1422 and 678618?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 988461113 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -71*r**2 + 2*r. Let m(v) = 280142*v + 141*v**2 - 140069*v - 140078*v. Determine -2*m(i) - 5*o(i).\nAnswer: 73*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 10. Let j be c(7). Let m(q) be the third derivative of -q**4\/8 + 5*q**3\/6 - q**2. What is m(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 76 = -5*k - 84, -140 = 4*k + 4*u. Let c be (k\/25)\/((-3)\/6). Which is bigger: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -58. Let w(u) be the first derivative of 4\/27*u**3 + 1\/27*u**6 + 1\/9*u**2 - 2\/45*u**5 + 3 - 1\/9*u**h - 2\/9*u. Solve w(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -40\/3*h**3 - 14 - 2*h + 0*h**2. Let f(s) = 3*s. What is l(f(g))?\nAnswer: -240*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-1300)*-13)\/((-14)\/10)*(-14)\/64?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -415? (a) -2\/9 (b) -149 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 3375394*x**2 + 2848317788412*x + 5696649078408.\nAnswer: (x - 1687698)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1988533, -7954112, -17896739, -31816414, -49713137, -71586908, -97437727?\n\"Answer: -1988524*a**2 - 7*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 13. Let o = -11 + 67\/6. Sort 5, y, o in decreasing order.\nAnswer: 5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106*n**3 + 38 wrt n.\nAnswer: 318*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 41 - 7. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54334 + 14?\nAnswer: 54351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - -3 - -3) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 23 = 2*p, -4 = 2*y - 4*p - 26. Let k be (-17)\/(-2) - y\/6. Suppose -3*s = -k*s + 15. Let u(w) = w**3 - 5*w**2 + 4*w + 1. Give u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 20. Let r = 11 + u. Sort r, -5, 4 in descending order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 399410, 1598615, 3597290, 6395435, 9993050, 14390135, 19586690?\n\"Answer: 399735*p**2 - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 11702 = 2*l - 18*v, 4*v = 2*l - 11694. What are the prime factors of l?\nAnswer: 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 16, 26, 40, 58?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 71*u - 2 - 1 + 72*u + 0 - 141*u. Calculate f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31e (base 16) to base 15.\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(((1*sqrt(144))\/sqrt(4) + sqrt(36) + -5*sqrt(144) + sqrt(36))\/(-1*sqrt(192) + sqrt(108)*3))**2.\nAnswer: 857\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/(9789\/502) + 71836\/26. Which is bigger: 2766 or u?\nAnswer: 2766","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*p**3\/10 + 12*p**2\/5 - 2*p\/5.\nAnswer: p*(p + 2)*(13*p - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**5\/20 + 3*u**4\/4 + 7*u**3\/6 - u**2\/2 - 5*u + 74. Let b(d) be the first derivative of z(d). Give b(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/474 and 91\/191962.\nAnswer: 45494994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-14) - 1\/2. Which is the smallest value? (a) r (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28106)\/832 - -34)*28\/7?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*s**2)*(3 - 1 - 1) + (25*s**2 + 11 - 11)*(-4 - 1 + 6).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 25*z + 259. Let g be h(-10). Solve 3*j + 2 = 2*s - j, -2*j + g = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6625*a + 20024. Determine p(3).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 14. Suppose r - 38 = -3*c, c - 5*r + 2 - 4 = q. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 594832.2 hours?\nAnswer: 24784.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 14*p**2 - 8. Let m(w) = -5*w**2 + 0*w**2 - 6 + 6 + 3. Let h(r) = 3*b(r) + 8*m(r). Let n(k) be the first derivative of -k**2 + 2. Give h(n(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m - 3. Let y(u) = 15*u - 5. Let h(t) = 13*s(t) - 6*y(t). Let i be h(11). Suppose 0 = 3*f - i*b - 56, f - 6*f = -b - 105. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(10\/1)*(-4)\/(-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.93, -3693\/22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -583 (b) -5 (c) 1 (d) -3 (e) 9\/52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 639.9999106 + -640. Round c to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2198*o**3*z**2 - 25*o**3*z + 2*o**2*z**2 + o**2*z - 2043*o*z**2 + 2*o*z wrt o?\nAnswer: -13188*z**2 - 150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 11*d**2 - 13*d - 5. Let i be a(-12). Suppose 202 = i*p - 3641. Is p a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 183*n - 145*n + 241*n.\nAnswer: 279*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*z - 301 + 301)*(-3*z**2 + z**2 + 4*z**2).\nAnswer: 104*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -40*t + 30. Solve -4*g = -2*a + 16, g = 5*a - 0*a + t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (36\/10 - ((-4 - 12) + 11))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, 0, -1 in descending order.\nAnswer: 0, -1, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -17910.\nAnswer: -2\/8955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/6 - 182*g**4 - 328049*g**3\/6 - 2640685*g**2 + 5667744*g + 8253936 = 0. Calculate g.\nAnswer: -516, -62, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/20 - 7*o**3\/6 - 6*o**2. Find the first derivative of v(h) wrt h.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 103\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 708971 and 843186.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3021 times 79?\nAnswer: 23.8659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sur when three letters picked without replacement from {t: 1, o: 2, q: 2, u: 5, s: 2, r: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 502 = 22316*a - 22319*a, -300 = 5*k + 5*a for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -85. Let p be ((-8)\/4 - d)\/((-417)\/(-2)). Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (24 + -11 - 45 - 11).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + (71 - 54 - (1 + -1))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 239 + 786 = 0. Let u = -81 + g. Is u a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39704933 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 0*l**2 - l**2)*(-3*l**3 - 4*l**3 + 12*l**3) + 2*l**5 + 2*l**2 - 2*l**2 + 2*l**4 - 2*l**4 + l**5.\nAnswer: -7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -166*t**2 - 111*t - 3. Let h(c) = 665*c**2 + 448*c + 11. Let o(k) = 6*h(k) + 22*r(k). Find the second derivative of o(w) wrt w.\nAnswer: 676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/4 - 71*s**2 + 3523*s\/4 = 0. What is s?\nAnswer: 0, 13, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35247 = j - 5*q, -63*j + 58*j + 176212 = -2*q. List the prime factors of j.\nAnswer: 2, 67, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1.8 (b) -0.542 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6))\/(4\/280). Suppose 0 = 4*o - g + 3. What is the units digit of (o\/6)\/(-4)*-75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + 5.06. Let t = -11.1 - -11. Which is the closest to t? (a) 3 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:12 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2. Let u(p) = -3*p - 13. Let h be u(-9). Let k(r) = -17*r + 39*r - 7*r - h*r. What is k(a(s))?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) -0.4 (b) 0 (c) -1 (d) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.09, 0.3, -1\/3, -36, 0.04, 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/10 - 11*g**4\/6 + 4*g**3 + 7*g**2 - 5*g + 368. Give a(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 i, and 1 v when three letters picked without replacement from {w: 1, a: 1, v: 1, r: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 70*m - 8. Let b be o(5). Suppose -a + b + 468 = 0. Round a to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-32))\/(((-104)\/36)\/((-1816)\/(-2043))).\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v - 5*g + 15, 0 = -3*v - g + 55. Let d be (-2)\/8*-14 - (-78)\/12. Calculate the highest common factor of v and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2794 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -45. What is the derivative of -o + 13 - q**3 + 10 - 1 wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 210. Let x(t) = -2*t - 28. Give r(s) - x(s).\nAnswer: -2*s - 182","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 179324000 to the nearest 1000000.\nAnswer: 179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6699 and -0.4.\nAnswer: 2679.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**18*i**(-1\/2)*(i**(2\/33)*i)\/(i\/(i*i**(-4\/7))) assuming i is positive.\nAnswer: i**(8311\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -33)\/((-3)\/(-12)). Let t = x + -89. Suppose 2*r + t = 127. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + 4*f - 3*f**2 + (-839*f - 48*f**2 + 839*f)*(1 - 5 + 16) + 8*f**2 - 7*f**2 - 3*f**2 - 3*f**2 + 3*f**2 - 2*f**2 as b + m*f**2 + k*f and give m.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6*h + 28 = 0, -5*n - 239*h = -234*h + 30 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 - 5*z**2 + 3*z - 2. Let y(u) = 7*u**2 - 3*u - 5*u**3 - u**2 + 2 - u. Let s be (-343)\/882*18 - -10. Determine s*y(l) + 4*w(l).\nAnswer: 5*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a week?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 107459 (b) 2\/9 (c) 0.3 (d) -5\/2 (e) -1\/2 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 1 (c) -5 (d) -2 (e) -64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792)*2)\/(-4*sqrt(4)*4)*5)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -1635.6\nAnswer: -57246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/139 (c) 2 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3018 = 3*m, 2*m + 5*z - 987 = m. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/8 + 5*o**3\/6 - o**2 + 27. What is z in j(z) = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16985\/2 - -101911\/12. Let j(l) be the second derivative of -a*l**4 - 1\/2*l**3 + 0 + 0*l**2 - 32*l. What is j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -6 (c) -1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**4 + 2*d - 23*d**3 - 10*d**4 - 65*d**2 + 63*d**2 - 16*d**4 - 4 + 33*d**4 to t + v*d**4 + c*d**3 + u*d + i*d**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13336032*s**3 - 11176072 wrt s.\nAnswer: 40008096*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-558)\/(-8) - (-6)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*y + 75*y - 1344 - 130*y.\nAnswer: 10*y - 1344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 62. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*r - 1 = 2, 0 = -3*j + 4*r - 3. Suppose -j*s - 33 = -4*s. Suppose -2*p + s + 45 = 5*b, 163 = 3*p - 4*b. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 48*q**2 + 234*q + 23. Give r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-41)\/(-2) - (-8)\/(-16). Suppose -9*l = l - i. Solve -3 + 11 = -l*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017577 to six dps.\nAnswer: -0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2745?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2750804.\nAnswer: -1\/1375402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0450204*0.1.\nAnswer: 0.00450204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15\/824 - -2589\/2060. What is the common denominator of 109\/320 and m?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641108.5 meters to centimeters.\nAnswer: 64110850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -1081, -2441, -4343, -6787?\nAnswer: -9773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, b: 2}. What is prob of sequence bzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29025, 29474, 29921, 30366, 30809, 31250?\nAnswer: 31689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 452076.8?\nAnswer: 2260384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11962*m + 177*m**4 - 11962*m)*(-48 - 14*m + 48).\nAnswer: -2478*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (121*s + 122*s + 7 - 245*s)*(s + 0*s + 3*s)*(5 - 3 - 1) in the form z*s**2 + g + l*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 645730656 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (25\/150)\/(-3*(-5)\/90)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 - 310 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -107. Let m be (w\/8)\/((-1)\/6). Solve -q - 5*x + m*x + 8 = 0, -2*x = 2*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 10. Suppose k = 2*v + f + 35, -2*v = -0*v - 2*f + 38. Let l = v + 25. Which is smaller: l or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b3 (base 14) in base 6?\nAnswer: -3241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123406 is divided by 61700.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**7\/1575 - b**6\/900 + 2*b**2 + 4. Let l(o) be the second derivative of u(o). Factor l(s).\nAnswer: -2*s**3*(s + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 41*k + 737. Is 9 a factor of l(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/(54\/72) - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:33 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*c + 1077, -7*x + 2175 = -3*x - 3*c. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + -93 + 5 + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5\/4 + 1044*i**4 + 86301*i**3 - 900507*i**2\/2 + 2549727*i\/4 - 549045\/2 = 0.\nAnswer: -83, 1, 3, 1470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220100112111 + 10102?\nAnswer: -220100102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 18 - 14 = -5*u, -3*u = 5*r - 42. Let k = 6 - 2. What is the greatest common divisor of k and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbxxbxmxtt. Give prob of picking 2 t, 1 b, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 14*o - 6*o. Solve o*n + a = -13, n = 5*a + 10 - 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**2 + 5*j + 1. Let l be m(7). Suppose 5*w = 4*w + l. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + 120140342?\nAnswer: 120141001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 12*u - 5369. Suppose -u = 7*b - 928. Solve 0 = -3*h + 5*v + 19, 3*v = 3*h - 7*h - b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -3, 39, -106, 4, -4 in decreasing order.\nAnswer: 39, 5, 4, 2, -3, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 344 and 675616?\nAnswer: 675616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -1\/3 (c) -9\/7 (d) -1 (e) 589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4558.961 nanometers?\nAnswer: 0.004558961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*c - 11 - 3, 3*c = 4*y - 20. Solve -y*x = 3*n - 13, -2*n + 4*x - x = -13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ccccjjc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -8 - 7) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 2*i**3 + 1. Let a(t) = 38421*t**2 - 76624*t**2 + 38222*t**2. Calculate d(a(l)).\nAnswer: 2166*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 29 = 5*j, u + 2*u + 2*j - 91 = 0. Suppose -4*x + 108 = -4*s, -100 = -4*x - 6*s + 2*s. Let o = x + u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 842 by -16.\nAnswer: -421\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let y(p) = 323 + 994*p**2 - 1554*p**2 - 2195*p**2. Let t(z) = 51*z**2 - 6. Let k(s) = 323*t(s) + 6*y(s). Give v(k(f)).\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 3*w**2 - 3*w**2 + 10*w**2 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 2*n + 3*n)*(-21*n + 21*n + 6*n**2) - 2*n**3 - 13*n**2 - 4*n**3 + 5*n**3.\nAnswer: 5*n**3 - 13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**4\/4 - x**3\/3 + 3*x + 10. Let a be n(0). Let j(c) = -c**3 + 6*c**2. List the prime factors of j(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -91.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 13 + 17. Sort -3, r, 1 in descending order.\nAnswer: r, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 83.942. Let u = -0.358 + g. What is the biggest value in -0.5, -5, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*o + 1 = 9, -5*o = 0. Suppose 5*m = -2*f - 101 + 25, 28 = -h*m - 2*f. Is (36\/m)\/((-9)\/408) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8151*a*i*y**3 - 29*a*y**2 + 130*i*y**2 wrt y?\nAnswer: 48906*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -db2 (base 15) in base 8?\nAnswer: -6024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 2*i - 4. Let j(g) = 2*g + 5. What is 2*j(h) + 3*n(h)?\nAnswer: 3*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/80 and -73\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocoupppnxnonx. Give prob of sequence no.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13144330 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41409 divided by 387.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9 + (60\/(-9))\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-6)*(21\/2)\/7. Suppose 5*j - 5 = -n*x + x, 0 = 2*x. Suppose -5*z + 3*f - 13 = 0, -f - 6 = 4*z + j. Are z and -7\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 3, y: 4}. Give prob of picking 1 y and 1 g.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 292175940 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 455.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365697?\nAnswer: 3, 179, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 36938?\nAnswer: -36938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**3 - 4*w - 2. Let s(l) = 14*l**3 - 11*l - 5. What is 4*s(j) - 11*v(j)?\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353 or -30\/41?\nAnswer: -30\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -16. Let p = 4.5 - 4. Which is the closest to 2\/9? (a) -0.4 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwddrqqdqrrnr. Give prob of picking 1 n, 1 r, and 1 q.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*x = 1178863 - 1178801, 0 = 2*o + 7*x - 85 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-65)\/3 + 10\/15. Let b = 1 - u. Let z = -9 + b. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5948\/3861 - -23\/351. Let w = 22629\/10 - 6799\/3. What is the common denominator of w and l?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001011101 + 11?\nAnswer: 101001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 769.\nAnswer: 768.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -38. Let b be -4*3\/(-6)*g\/(-10). Solve 3*l = -2*w + 2 + b, 4*l - 3 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1858)\/3716*(312\/3)\/1\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ba5b4 (base 13) in base 5?\nAnswer: 41242013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 1. Let f be b(3). Suppose -3*v - 8 = 5*k - 29, -f*k = -2*v - 11. Suppose k*p - 12 - 45 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*r - 3*r + 15, -4*a = -4*r + 12. Suppose 2*g + 12 = 3*u, -g = -4*u - a*u + 11. Is 1*231*(-1)\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 2, c: 1, h: 1, f: 2}. Give prob of sequence cq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2663560 divided by -15668\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 13162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 17813*o - 2956. Is b(21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + (-18)\/4)*6\/4. Are l and -78 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325531 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1214, 9654, 32544, 77108, 150570?\nAnswer: 260154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -919 and -2?\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 332818 = 1192818. Suppose y = -4*s - s. What is s rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 + 22 = 3*n, -n = -2*i - 11. Is n*-4*(-5)\/4 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/((-19788)\/1650 - -12).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkkmkmkmmkmm. What is prob of picking 1 m and 3 k?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and (-3 - (-261)\/15)*60120\/144?\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20857366 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 117*x**3 - 27*x**2 + 27*x. Let d(g) = -9*g**3 + 2*g**2 - 2*g. What is -27*d(r) - 2*h(r)?\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245)\/sqrt(5))\/(sqrt(1008)*3 + sqrt(1008)).\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 63\/12 + (-7)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h**2. Let p(u) = -17*u**2. Give i(p(d)).\nAnswer: -2312*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -7*o**3\/2 + 10*o**2 + 12*o. Differentiate r(c) wrt c.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15392254859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -615 + 648. Calculate the remainder when 96 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30763930111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8533 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 the third smallest value in -0.1, -508.1902, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1395 - 1395. Solve 0 = 11*c - o + 44 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r - 151 + 1 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**2*q**2 + 4*g**2*q + 21*q**2 - 2 wrt g.\nAnswer: 8*g*q**2 + 8*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93514239 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2696*r - 61 = 2692*r + 5*k, 3*r + 42 = -3*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 222 + 3*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = -10. Suppose h = x*h + 3. Let o(u) = -u**2 - u - 2. Determine o(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -138177000 to the nearest one million.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-42))\/((-8)\/(-64)*6))\/(50\/350).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 13*j**5\/15 - 35*j**2. Let b(z) = -3*z. Give r(b(i)).\nAnswer: 468*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46607\/29 + 1607. Is -0.14 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 632 + (-4)\/((-8)\/(-2)). Suppose -884 = -5*r + a. Suppose 0 = -3*s + r + 396. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2236*g + 1093*g + 1105*g + 532 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8395985839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(5 + -2 + (sqrt(1100)*1 - sqrt(1100)) + -5 + -2*sqrt(1100) + 1)**2.\nAnswer: 960*sqrt(11) + 105624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 66960400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*t - 7260*f**2 + 203*f*w + 18965*t - 117*w with respect to f.\nAnswer: 4*f*t - 14520*f + 203*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8078 is divided by 202.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 30\/13, -5\/2, 3?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = 2*b - 33. Suppose 0 = w - 5*z + 65, 3*w + b - 38 = -5*z. Let o = -17 - w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + 10000?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -1.09. Let x = -0.04 - g. Let m = -0.05 + -0.45. Which is the second biggest value? (a) x (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(20\/7)*j)\/j)\/(j\/(j**(-2\/61)\/j)*j*j))**(-8\/3) assuming j is positive.\nAnswer: j**(200\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48.075 - -49. Let r = -0.075 - y. Which is the fourth biggest value? (a) 2\/9 (b) r (c) -1\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from sbscbcbgsbbesss?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13912 - 13899. Suppose 3*u + 6 = 0, 5*h - 8 = 4*u - 0. Let j = h + 13. Calculate the greatest common factor of j and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z + 8*z - 12*z + 5*z**3.\nAnswer: 5*z**3 + 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 393, 370, 323, 246, 133, -22?\n\"Answer: -z**3 - 6*z**2 + 2*z + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1492 * -11395\nAnswer: 17001340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 1 + 2*a - 5 - 2 to t + l*a and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b. Suppose -5*v + 14 = -3*v. Let y(n) = -12*n. Let d(h) = v*m(h) - 6*y(h). Let u(t) = t**3 - 6*t**2 - 6*t - 6. Let p be u(7). Determine d(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, -11, 8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - 5 - (-2 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y + 1. Suppose -w + 10 = -3*t + 3*w, -3*t - 6 = -3*w. Let z(x) = 3*x**2 + 7*x + 3. Let i(k) = t*z(k) - 7*p(k). Calculate i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbwl when four letters picked without replacement from {w: 2, l: 1, o: 1, b: 2, v: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -7. Suppose -3 + d = 4*z. Suppose 9*l - z*l = 42. Calculate the smallest common multiple of 2 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 50232 in ascending order.\nAnswer: -1, 1, 50232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -1.76.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 2*z**3 - 2*z**4 + 6*z**3 - 2 + 2*z to the form l*z**4 + c + s*z + h*z**3 + y*z**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 + 4*k**2 - 2*k**2 + 6*k**2 wrt k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2 - d**3 + 2 + 0*d**2 + 2*d**2. Let g(m) = m**3 - m**2 + 1. Let o(h) = -2*g(h) - i(h). Suppose v = 2*v. Give o(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 400.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) 0 (c) -1\/10 (d) -4 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 14. Give j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)\/(2\/(-3 - -1)). Let r = -69 + 553\/8. Which is the closest to l? (a) 3 (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0784 to 3 dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 9*l + 9. Let f be h(8). Suppose 3*k + 3*d = -2*d + f, 4*d = -20. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3850771.\nAnswer: 463, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -1\/2 (d) 0.5 (e) -314681 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 356370 divided by -2026?\nAnswer: -178185\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -20*l**2 - 179*l - 52. Calculate the remainder when 4899 is divided by p(-8).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42056 and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 6368 + 12721 - 6350 - 34*b**2. Let t(n) = -69*n**2 - n + 5. Give 5*d(g) - 3*t(g).\nAnswer: 37*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*y = -70*y - 1218. Calculate the remainder when 818 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 11:59 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126 in 4, 0, -5\/7, -1\/2, 0.1, -0.2471?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -243 - 73*u**4 + 243 + (0*u**2 - 2*u**2 + u**2)*(3*u + u**2 - 3*u) + 366*u**4 + 49*u**4 + 114*u**4 to c + f*u**2 + p*u + a*u**4 + q*u**3 and give a.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80151636 to the power of 1\/2, to the nearest integer?\nAnswer: 8953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 340143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 8016879893 + 8016879893.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**7*q**(-3\/2)\/q*q)\/(q**(-1\/3))**(-10))**(8\/3))**(-26) assuming q is positive.\nAnswer: q**(-1352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30649*y**2 - 30469*y**2 + 2606 - 2606.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3 - 39 + 9*o + 2*o**4 - 9\/2*o**2. Let r(c) = -c**3 + c**2 + c - 1. Let a(f) = -18*r(f) - 2*z(f). Solve a(k) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.292 + -497.708. Let v = t + 497.99999711. Round v to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2 - 4869*u = 0.\nAnswer: 0, 4869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 3*h, -q + 2 = -2*h. Suppose g = -3*g + q. Let x be (6\/(-2) + 2)\/g. What is the biggest value in -0.5, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e6b + -19f?\nAnswer: 3ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 15) in base 8?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1429100 to the nearest 10000.\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/32? (a) 3 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 19*n**2 + 3*n. Let k(p) = 36*p**2 + 5*p. Calculate -7*i(x) + 4*k(x).\nAnswer: 11*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -0.1 (c) -0.8 (d) -2\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24787005 divided by 18429\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - u = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) -1 (c) 0.282 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 6*g = g + 11, -795*h + 17 = -766*h - 2*g + 112 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2. Let x(j) be the first derivative of -j**2\/2 - 8. Determine d(x(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 + 253. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a. Let d be (a - -1) + 0 - (3 + 6998). What is d rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 - 203*w + 236. Does 30 divide l(76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8985 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*y + 11. Which is bigger: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**6\/60 + 23*n**5\/15 + 40*n**4 - 384*n**3 - 905*n**2. Factor s(u).\nAnswer: 2*(u - 2)*(u + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*4408\/1102.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 4*j - 4. Let v be b(-4). What is the greatest common divisor of 60 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/10)\/l)\/l*l**(-1))\/((l**(-13)\/l)\/(((l*l**(-23))\/l)\/l*l)) assuming l is positive.\nAnswer: l**(-119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6759 - 0.1759. Which is the nearest to -2\/3? (a) 3\/5 (b) -3 (c) j (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**5 - 132*v**4 - 858*v**3 - 1912*v**2 - 1416*v = 0.\nAnswer: -59, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -274*y - 37. Let v be g(-4). Suppose 9*z = 12*z - v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 239616 and 14279616.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**4\/3 + 55*f**3\/3 - 434*f**2\/3 + 920*f\/3 = 0.\nAnswer: 0, 4, 5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 38*t - 63*t + 44, 74 = 5*n + t for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27.198, 29, -0.2, -4, 3.\nAnswer: -4, -0.2, 2, 3, 27.198, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2. Let n(b) = -39 - b + 41 + b**2 + 953*b**3 - 952*b**3. Let i be (1 - -5) + 5 + -8. Let j(g) = i*c(g) - n(g). Determine q, given that j(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 + 235. Suppose 7*m - 30 = -8*m. Suppose -m*f - 5*g + 49 = 0, -4*g = -6*f + 9*f - x. What is the remainder when f is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122022 (base 3) to base 9.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 23 = 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/51 - 5572\/6. Let t = 1581 + x. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -ab669?\nAnswer: ab670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -35*b + 6. Let k(o) be the third derivative of -o**4\/24 - o**3\/6 - o**2 + o - 109. Determine 4*k(n) + l(n).\nAnswer: -39*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60.4323 - 0.0323. Let j = h - 26. Let b = j + -34.39821. What is b rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f**2 - 18*f + 9. Let h(d) = 7*d**2 + 10*d - 5. Let b(i) = -11*h(i) - 6*l(i). Calculate b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1337 - -17366\/13. Let c = s - -32\/39. Let p be 2\/5*(-2)\/1. What is the fourth biggest value in 0.3, c, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.273228*-30.\nAnswer: -38.19684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - (-165)\/9. Suppose 4*l = 2*u, -s = -3*u + 2*l - 3. What is the remainder when 14 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5 = 0, 2*z + 3 = 19*j - 18*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 20*m + 10 = -2*j, 5 = -5*j - 5*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2321.\nAnswer: -3\/2321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-6 - -10)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p\/(p\/(((((p\/p**(-9\/4))\/p)\/p)\/p*p)\/p))*p)**(16\/3) assuming p is positive.\nAnswer: p**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 210366678?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, v: 1, k: 4, c: 4, b: 2}. What is prob of picking 4 k?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 - 3*w - 1. What is the remainder when 22 is divided by v(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -0.3, 7.8 in increasing order.\nAnswer: -27, -0.3, 7.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/12 - (-52)\/80?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1099230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*y = 0, -v - 4*v = -4*y - 11. Let s be 2 + 1 - (1 + -1). Find the second derivative of -5*t**s - 3*t + 5*t**v - 3*t**5 wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 287.1247 centuries?\nAnswer: 28.71247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100274447 or 100274448?\nAnswer: 100274447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93225 is divided by 428?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbss. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7658524, 7658452, 7658380, 7658308, 7658236, 7658164?\n\"Answer: -72*d + 7658596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2 + 6\/3. Let d(u) = 5*u. Let n be d(1). Let c = -4194 + 4198. Solve -c*z - i = -n*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 1. Let h be j(1). Let q be (-16)\/(-5 - (2 + -5)). Suppose -x + h*x + 8 = m, 4*x = -q. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*g + 15 = 94*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 16*o + 176 = 0, -88*o = 3*r - 86*o + 22 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(596\/745)\/(1\/(-10)*2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 1653, 5310, 12257, 23550, 40245, 63398?\nAnswer: 94065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = 3*o - 3*r, 11 = 5*o + 4*r. Let m be (-4)\/o + 145\/(-40). Put m, -5\/4, 4, 5 in decreasing order.\nAnswer: 5, 4, m, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 9*g. Let f(c) be the second derivative of 13*c**3\/2 - 3*c**2\/2 + 153*c. What is f(u(q))?\nAnswer: -78*q**2 + 351*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isi when three letters picked without replacement from kxksiiikxkkkiikk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 2 (c) 2\/9 (d) -3 (e) 1\/6 (f) 4313 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 2. Let k(i) = i. Calculate -5*k(h) - u(h).\nAnswer: -7*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 12\/(-5))*(-82 - -42) + -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.1, 0.4, -2, 17, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/((-3888)\/(-441)))\/((-7)\/(-39))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 15.91. Let r = 0.539 + -0.229. Let z = j + r. Which is the nearest to 2\/15? (a) 3 (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345278476 to the nearest integer?\nAnswer: 18582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 424, 788, 1260, 1840?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiieeieiieei. What is prob of sequence iei?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 25*f - 36. What is the remainder when p(16) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378603, -757288, -1136059, -1514916?\nAnswer: -1893859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3860671304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23329, -23590, -23851, -24112?\n\"Answer: -261*z - 23068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/4*-1*10\/((-1760)\/(-48))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from {h: 1, f: 2, t: 5, s: 2, z: 1, j: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 11*o**2 + 4*o - 8. Let t(v) = 5*v**3 - 32*v**2 - 13*v + 25. Let m(a) = 8*g(a) + 3*t(a). Let j be m(-8). Let b = j - -5. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-8)*(-4)\/(-3). Let w be 0\/(-1) + 3 + d. Suppose 2*u - 42 = -4*p, 5*p = -2*u + 2*p + 44. Calculate the greatest common factor of u and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477, -1926, -4345, -7734, -12093?\nAnswer: -17422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 10*o - 8. Suppose v - 4*v + 4*f + 323 = 0, o*v - 3*f - 215 = 0. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289.1 + -289. Let f = 14 - 14.2. Let g = 17 + -19.3. Which is the closest to g? (a) x (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/10)\/(z*z**(12\/11)*z))**(-50)*((z*z**(-5)*z)\/z*z**(-2))\/(z**(1\/4))**(1\/9) assuming z is positive.\nAnswer: z**(60793\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 4)\/(-2) + 1202 + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3010 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 + -88. Let l = 0.4 + -0.2. Which is the nearest to -3? (a) l (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2. Let u(y) = -1439*y + 2*y - 485*y + 6 - 6. Give u(x(h)).\nAnswer: -3844*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.3*0.25.\nAnswer: -2.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saffaffaafsfssfs. Give prob of sequence sf.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/38, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.93 + -0.07. Let r = i + 0. Suppose -t - 2 = -m - 1, 0 = -t - 5*m - 19. Which is the second smallest value? (a) t (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 - 49 + 19 + 30.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from wtkgktksstgp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14638 = -434*j - 14006 for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 14) to base 12\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/90 - 4*y**2. Determine q, given that z(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53151704 (base 8) to base 6\nAnswer: -1042433020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85979*k**2 + 85981*k**2 - 171972*k**2.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20213 (base 4) in base 10?\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 - 4*x**3 - 34*x - 2 to z*x + i + w*x**3 + m*x**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/72 and 8\/81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(7) + 4).\nAnswer: -12 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 34*l**2 + 10*l**2 + 5*l**2.\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -18. Let d be (-51)\/p - (-4)\/(-14). What is the third derivative of d*v**3 - v**5 - 7*v**3 - 4*v**2 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:15 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 5*q**3\/2 - q**2\/2 - q - 1. Let o(d) be the first derivative of h(d). Determine o(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405819*i = 405912*i + 930 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 - 34*c + 28. Suppose 252 = -4*f - 17*f. Let n be k(f). Solve -4*i + 4*a = -0*a - n, -i = 3*a - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -2*u**3\/3 - 5*u. Let v be s(-3). What is the highest common divisor of v and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Let j(w) = w**2 + 24*w + 90. Let m be j(-19). What is the smallest value in r, m, 9\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, c: 1, y: 4}. Give prob of picking 2 y, 1 s, and 1 c.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994128 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1402712 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*n + 30, 2*l + 2*n = 6*l - 16. Suppose -54 = -l*h - 12. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3165? (a) 11 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**4\/4 + 7*p**3\/3 - 3*p**2 + 3*p - 1. Let s be (-6)\/(-8) - (-3 - 36\/16). Is h(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l + 1. Suppose 0 = -477*h + 491*h + 182. Let w(k) = 4*k - 1. Determine h*w(g) - 6*c(g).\nAnswer: 2*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4.1, 1\/18, 60\/13 in descending order.\nAnswer: 60\/13, 0.3, 1\/18, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/5)\/j*j)\/(j\/j**5))**32 assuming j is positive.\nAnswer: j**(864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -516 + 528. Calculate the lowest common multiple of 246 and g.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -991455 + 3*q - 3*q**2 + 2*q**2 + 991442 - 13*q**3 + 2*q to the form t + m*q + h*q**2 + l*q**3 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t**4 - 7*t**3 + 3*t**2 + 3*t. Let p(x) = -15*x**4 - 15*x**3 + 5*x**2 + 5*x. Let d(m) = 5*j(m) - 2*p(m). Let d(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705991185.\nAnswer: 3, 5, 1811, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -1 + 11\/(-6) + 1 + (-5161)\/2382. Let 2\/7*q**3 - 24\/7*q**d + 24\/7 - 2\/7*q = 0. Calculate q.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04574 from 118646.\nAnswer: 118646.04574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21186264577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4756.269 hours to seconds.\nAnswer: 17122568.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14127670 (base 8) in base 7?\nAnswer: -36056240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3*j**2 + 5*j + 3. Let b(p) = 12*p - 11. Let t(u) = 13*u - 12. Let g(l) = -6*b(l) + 5*t(l). Calculate 5*f(q) - 4*g(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1360)\/1400*5\/(-2) - 2. Sort -4, k, 4 in descending order.\nAnswer: 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 - 64. Calculate the remainder when y is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 26*c**3 - 10*c**3 + (-c**3 - 5*c**2 + 5*c**2)*(-1 + 2 + 0)*(-1 - 5 + 3) in the form w + o*c**3 + l*c + t*c**2 and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 282 + -279. Suppose -9*c + 4*c - 29 = -b*g, 4*g + 2*c - 30 = 0. Solve g*h - 5*h + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqoo when four letters picked without replacement from roononrooxqoxooo?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3318 = -3*j, -3*f - 2*f + 4*j + 3311 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -22. Suppose 20 = -v - 3*v, -5*w + o*v = 0. Let p(g) = g**3 + 5*g**2 + 3*g - 5. Calculate p(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = -7. Suppose -k*l = -0*l + 4. Let j = 5 + l. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-10) - 4\/5. Let p = a - -8. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 716 + 645.\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*p - 15, -2*p - 1758*l - 25 = -1763*l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -3\/5, -626\/19, 2\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -350 - a?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - g**2 - 2*g**2)*(0*g**2 - 3*g**2 + 2*g**2) + (2*g - g**2 - 2*g)*(-163 - 13*g**2 - g + 163).\nAnswer: 11*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*z + z**4 + z**4 - 115*z + 273*z**3 - 106*z + 2 + 329*z to f*z**3 + u + i*z + v*z**2 + n*z**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*i + i + 864. Let h(c) = c - 51. Let q be h(i). Solve -q*v = -4*d + 13, -12 = -4*v + 4*d - 6*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - p - 10. Let y be v(3). Suppose -2*u**2 - y*u**2 + 7*u**2 + 3*u**3 = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 - 3.7. Let y = j + -0.4. Which is the closest to 0.07? (a) -1\/6 (b) 2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 274823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4841425nm in millimeters?\nAnswer: 0.0000004841425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 8 + -5 + -3. Let z be ((-54)\/4)\/9 - r\/3. Factor -z*j**2 - 1\/3*j - 1\/6.\nAnswer: -(j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103468487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (8 - (5 - (-16 - -26))) - (-9 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 20 = -4*l, -2*r + 6*r = -2*l + 10. Suppose 2*m + 3*m = r. Let x = 7 + m. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:21 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2*d**2 + 14*d + 233. Let o(t) = t + 1. Give -5*o(i) + s(i).\nAnswer: -i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74671)\/(-267) - ((-15)\/(-9) + -2). Calculate the greatest common divisor of 98 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + 337?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + -506. Let q = -338 - v. Which is the smallest value? (a) -5 (b) q (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/685 - -681\/2740. Sort -8, -2, y in decreasing order.\nAnswer: y, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)*h)**(4\/7)*(h\/(h\/(h**(-1\/4)*h)))**(-19))\/(h**(-6)*h\/h**(2\/11)*(h**(2\/7))**(-13\/3)) assuming h is positive.\nAnswer: h**(-1109\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiiiiiiiwwi. What is prob of picking 2 w?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 18. Let t be i(-12). What are the prime factors of 80 + -4 + 3 + t\/2?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -0*h + h. Suppose 3*j - 8 = h. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*o + 24 = -842*o - 5*j, 0 = 2*o - j - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 12*p**2 + 9*p + 1. Let c be (-6)\/24 - 129\/12. What is the remainder when a(c) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 5*u - 84, -4*f + u + 129 = 0. Let o = f + -13. Suppose -7*z - 4*w = -3*z + 4, 0 = 5*w + o. Solve -j = -z + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-96) - 10\/(-8)) + 40\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(75\/10 - 4). Let j(p) = -p**3 - 6*p**2 + 7*p - 8. Calculate j(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 52\/12 + -6. Solve 0*z + 0 - 4\/3*z**3 + 0*z**2 + 0*z**4 + w*z**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 406 + -406.3. Suppose 57*q - 52*q = 0. Which is the biggest value? (a) q (b) r (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 16*f**3. Suppose -2*b + 3 = -5. Suppose 14 = b*m - 3*l - 2, 4*m + 4 = -2*l. What is the tens digit of u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*v + 271*v = -832*v + 46598 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 12:07 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -n + 3*a - 0*a, 37 = 5*n + 3*a. Sort 2, -2, n.\nAnswer: -2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102 - 4?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(275) + 1 - (0 + sqrt(275) + -1)) - 6*4*(0 + sqrt(275))*6)**2*-1.\nAnswer: -5702625 + 21600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 422 - 266. What is the derivative of 124 + 164*c**4 + u*c**4 - 94*c**4 + 42 wrt c?\nAnswer: 904*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 57, -1, -2 in descending order.\nAnswer: 57, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**7*a**(-6\/7)*(a*a*a**10)\/(a*a*a*(a*a**(-1\/23))\/a) assuming a is positive.\nAnswer: a**(2445\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 98. Suppose 8*q - 54 = 6*q. Suppose -n*i + q = -21. What is the remainder when 62 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4604 (base 11) in base 8?\nAnswer: 13646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -25. Suppose -5*h + 13 = -x - 13, -h - 5*x = j. Solve 10 = -y - 0*y - 5*s, 2*y + 5*s + h = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 21. Suppose -2*w = 4*j - u - 17, 5*w - 3*j = 137. What is the highest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:05 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11800*x**2. Let a(i) = -1074*i. What is a(c(q))?\nAnswer: 12673200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53744731?\nAnswer: 31, 1733701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736) + -5 - (3*sqrt(304) - sqrt(19))) + -2*((sqrt(1216)*3 - sqrt(1216))**2 - sqrt(1216)) + -1 + 1.\nAnswer: -9733 + 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 473*h**6\/15 + 1415*h**3\/6 + 106*h + 4. Find the second derivative of y(d) wrt d.\nAnswer: 11352*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -62 - q - 59 + 204 - 80. Let c be -2*1\/(0 - 1). Let i(g) be the first derivative of g**2\/2 + g - 21. What is c*i(h) - k(h)?\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3443 + -4313?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.598 + -174.917. Let f = z + 0.319. Let b = 137.000131 + f. What is b rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 - 15 = 0. Let u(i) = 6*i - 14. Is u(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/(-10682)*109)\/(1\/(-142))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**3\/5 + 84*b**2\/5 - 177*b\/5 + 18 = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 1, -4 in descending order.\nAnswer: 109, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31240 - 10813 = -11*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -232.7 + 233. What is the third smallest value in w, 0.5, -0.03, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 2*m**3 + 0*m**3)*((-5 + 0 + 4)*(-m**2 + 0*m + 0*m) + (0*m - 2*m + 4*m)*(-2*m + 4*m - 5*m)).\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 20304084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 + 18 = 3*k, -2*q - 5*k = -28. What is the hundreds digit of (-14445)\/(-35)*1 - q\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 - 3*k**4 + 3*k**4 + (5 - 38 - 57 + (-9 + 2 - 3)*(3 - 5 + 3))*(-4*k + 0*k + 2*k)*(-2 - 4 + 1)*(-3*k**3 + 0*k**3 + k**3).\nAnswer: 1999*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1421 (base 5) to base 16.\nAnswer: -ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 83, 198, 313, 428, 543?\n\"Answer: 115*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m + a = 0, -4*m - 5*a = 0. Solve -3*y**2 + m*y**2 - 4 - 8*y - y**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 2 p when four letters picked without replacement from {k: 5, m: 1, j: 2, p: 8}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -161 + 161 - 44*m in the form b + i*m and give i.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**3 - 69*y**2\/2 - y - 113. Let i be r(-23). What is the third smallest value in 0, -5, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 g when three letters picked without replacement from ghffffffffgffgf?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39713, -4, -5 in ascending order.\nAnswer: -39713, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 121202010 (base 3) to base 9\nAnswer: 17663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 232243391.5 and 20.\nAnswer: 232243411.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5333 + -563. What is the remainder when i is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92800288 and 79543104?\nAnswer: 556801728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -143532*x**2 + 156507?\nAnswer: -287064*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - u + 5*u + 0*u - u + (-3 + u + 3)*(3 - 1 - 4) + 2*u - 2*u + u + 50*u - 248*u + 2 - 166*u.\nAnswer: -362*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -31*j - 90. Let d be v(-22). Suppose -6*q = -d - 296. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 11. Let y be l(-10). Let f be (-50)\/40 + y\/(-4). What is the third smallest value in 1\/3, -5, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-6 - 26) + -17\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 240?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1071 + 146724\/137. Let j = z - 229\/2055. Put -0.4, 3\/5, -1\/2, j in descending order.\nAnswer: 3\/5, j, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = -5*w + 4, 5*w - 7 = -3*a. Solve 2*c - 5 = 5*p + 18, 0 = w*c + p + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -0.4. What is the smallest value in -7, -5, u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 n when four letters picked without replacement from nnqqqq?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2 and 19\/186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - t - 29 + 5, 4*p + 5*t - 25 = 0. Suppose 0 = -3*z - 3, -r + z = -z - p. Solve -3*u - 9 = r*q, -u + 9*q - 4*q - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let q be -3 + 4\/(-6)*-4 - 60\/(-180). Sort 5, -3, w, q in increasing order.\nAnswer: -3, q, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**4 + 10 + 8 - 2*n**3 - 16 - 3*n**2 + 6*n**3 - 11*n + n**4 to b*n**3 + d*n**4 + x + c*n**2 + h*n and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/748, 2\/7, -1.3, -18?\nAnswer: 3\/748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4191 and 638429.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.44988 micrograms?\nAnswer: 0.00000144988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551901 is divided by 136.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27036*o + 29191*o + 200415 = 0 for o.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8318 take away 6243700?\nAnswer: -6252018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43.49461 grams?\nAnswer: 43494610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -55*r + 507. Determine c(10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/11708500 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2\/9 (c) -13 (d) 0.3 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 13, k: 5}. Give prob of sequence kkbb.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((1 - 0) + 78 + -14) - (15 - 2)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 2 + (-84)\/15. Which is the second smallest value? (a) s (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-7) - ((-36)\/28 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8 + 9 - 729*a - 840*a - 6. Is g(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161 take away -0.5893?\nAnswer: -1160.4107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose k + t = -0*t - 5, -4*k + c*t = 44. Let x(n) = -n**3 - 10*n**2 - 9*n + 1. What is the units digit of x(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 11. Let u be n(-6). Let r(i) = -i**2 - 4*i + 8. Determine r(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.09554 and 90.\nAnswer: 98.5986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/1899574 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -2 - (3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l + 1. Let w(z) = -13 + 3 + 8 + 12*z. Suppose 0 = -20*a + 246 - 106. Calculate a*y(x) + 4*w(x).\nAnswer: 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(5*x**2 - 5*x**2 - 2*x**5) + 3*x**5 - x**5 - x**5 + 10*x**5 - 32*x + 32*x.\nAnswer: 13*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 190 = -5*g, g - 2*p - 8 - 37 = 0. Which is greater: 33 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4130 divided by 590\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0 = -8. Suppose 3 - 74 = -3*c + v, 2*v - 34 = -b*c. Calculate the remainder when 85 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7065293 centuries to millennia.\nAnswer: 0.07065293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + 3\/4. Let c be (8\/(-6))\/(g\/12). What are the prime factors of (c\/6)\/((-4)\/30)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354489 is divided by 5138?\nAnswer: 5105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -9.6\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - 11\/22. Suppose 0*l = 3*l - 12, 0 = t + 2*l - 12. Sort -3, t, -6, o in decreasing order.\nAnswer: t, o, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.3 * 39.6\nAnswer: -1358.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16341 times 2?\nAnswer: 32682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*g**2 - 29*g**3 + 59*g**3 + 19*g - 31*g**3 - 105*g wrt g.\nAnswer: -6*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3\/(-9))\/((40\/156)\/5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*66\/22.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68260233 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.4 (b) 3\/2 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5*o + 17 = 0, 57*o - 60*o + 18 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -37 (b) -1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/3, 29\/4, -491.35, -5, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1634 or -1640?\nAnswer: -1640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 10*t**2 - 8*t + 6. Let c be g(-10). Suppose 3*k = k + c. Suppose -4*o + 93 = -k. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -683 (base 9) in base 6?\nAnswer: -2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 + 7 + -14 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-434787)\/90 - (-6)\/(-30). Let a = w - -4848. Find the common denominator of -33\/34 and a.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by -3\nAnswer: 97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alllalllaalja. What is prob of picking 2 l?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 34 = 3*w - 5*f, 0 = -w + 5*f + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {w: 1, b: 2, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 24. Suppose -70 = i*b - 5*n, -52 = 2*b + 3*n + 1. Let m = 22 + b. Let l(v) = -v + 4. Let o(r) = -3. Determine m*l(f) - 4*o(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -186 * 0.2.\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130651897, -261303795, -391955689, -522607579, -653259465?\nAnswer: -783911347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-18)*(-24399)\/2711)\/(-1*(-1)\/17)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2170, 4387, 6604, 8821, 11038, 13255?\nAnswer: 15472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((13\/26)\/(3\/(-12)))\/(2\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -646\/161?\nAnswer: -646\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1597*a*h*z**3 - 207*a*h + a + h*z**3 + h*z - 777426*h + 2*z**3 wrt a.\nAnswer: 1597*h*z**3 - 207*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -147, -0.5, -1\/14, 2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by -3*(-141)\/36 - (-8)\/32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 3772.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*y = -3, y - 5*y = 2*c + 6. Suppose h + 12 = -4*r - c*h, h = 4*r + 17. Is 4*110*(-1)\/r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19726 minus -3129857.8?\nAnswer: 3149583.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-368)\/69920).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - i**2 + 0*i**2 + 3*i**2 + 105 + 12*i + 0*i.\nAnswer: 2*i**2 + 2*i + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Suppose z + 0*z - 14 = m. Let h = -12 + z. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159434 < 159434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Suppose -a*x = 4*n + 8, -x + 4*n + 6 = -2*x. What is the remainder when 62 is divided by x\/(-10) + (-208)\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56593003393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + (-6)\/39 + 804\/156. Let t(j) = j**3 - 7*j**2 + 4*j + 3. Let z be t(6). Put -2, h, z in increasing order.\nAnswer: z, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5451292 by -194689.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19076454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*(-2 + (sqrt(363) + sqrt(363)*3 + 4 - (5 + 0 + sqrt(363))) + -2))**2.\nAnswer: -9900*sqrt(3) + 82575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-247)\/(-4940)*1220*(0\/3 + -2)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94*h**3*w**3 - 152*h**3*w**2 - 31*h**3*w + 219*h**2*w**3 + 2752*h**2 wrt h.\nAnswer: 564*w**3 - 912*w**2 - 186*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*n - n - 17 = 0, -2*n - 8 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**4 + 181*s**2 + 188*s + 8. Let v(c) = -60*c**2 - 63*c - 3. Let u(g) = -8*v(g) - 3*z(g). Find t such that u(t) = 0.\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-230))\/(8\/(-8)). Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1873 - 1872. Which is the smallest value? (a) d (b) 4 (c) 297\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*r - 4*r + 22 - 10*r)*(0 + 0 - 2*r**2) as a*r**2 + l*r + t*r**3 + v and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*v - 554 = -470 + 633 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/24)*p*p\/(p*p\/(p**(2\/37)*p))*p*p assuming p is positive.\nAnswer: p**(2749\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*y - 36*y = 384 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 530\/110 + (-2)\/(-11). Let b(d) = -d**3 - 3*d**2 - 3*d + 5. Let v be b(-4). Let k = v - n. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/3)\/4)\/((-20)\/(-40)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46062 at least as big as -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1\/6, -0.03661, -2, -2\/21 in decreasing order.\nAnswer: 8, 1\/6, -0.03661, -2\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (4 - 3) + 5. Suppose 3*w - 2 = h*w. Let s be (3\/2)\/((-9)\/24). Sort 4, w, s in ascending order.\nAnswer: s, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k**4 + 3*k**3 - 12*k**2 - 3*k = 0 for k.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**6 - 254*o**4 + 1108*o**2 wrt o.\nAnswer: -240*o**3 - 6096*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p - 28. Suppose 5*b - 28 = t + t, -2*t - b = 4. Let o be f(t). Suppose -m = -5, -m + 1 = 2*d - 14. Solve -c - d = o*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:21 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112451 is divided by 255?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 - -6.7. Which is the nearest to l? (a) -0.2 (b) 2\/9 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 79*g**2 - 651*g - 5. Give v(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 2*s**3\/3 - 11*s**2\/2 - 6*s + 4. Is z(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21135 in -2\/15, -25\/13, 0.2, 0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -91*((2 - 265\/140)*(-28)\/(-7) + -1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-908*r**2 - 28*r**3 + 908*r**2)*(2 + r**2 - 2).\nAnswer: -56*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g - 5. Suppose -2*d = -40 + 28. Let n(f) = 10*f - 6. Determine d*n(c) - 7*i(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00080546461 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.66+0.04317\nAnswer: 1.70317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/3 - 1231654*u**2\/3 - 8621692*u\/3 + 3284448 = 0. What is u?\nAnswer: -8, 1, 615834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22303 + -2123?\nAnswer: -31032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 18, -4, -945?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 412678 divided by -14\nAnswer: -29477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v - 2. Let n be r(1). Suppose -2*p + 11 = n. Determine l so that -5*l**p + 4*l + l**2 - 2*l**3 - 4*l - 2*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 140*q - 33*q - 193*q + 62*q.\nAnswer: -304*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzjj when four letters picked without replacement from oyvyyjojzoyyoookyy?\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.87 - 0.13. Let w = c - -5.00000145. What is w rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (5 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11704 + 140449\/12. Let y(v) be the third derivative of 0 + 0*v - h*v**4 + 25*v**2 - 41\/6*v**3. Let t(u) = u. Calculate t(y(z)).\nAnswer: -2*z - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -3, 2\/11, 17, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2)*0\/(-4). Suppose -4*r - 4 = -3*r, 0 = q + 5*r + 4. Calculate the remainder when 54 is divided by (-2 + t)*1 + q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(648) - (sqrt(648) + sqrt(648)*-1 + sqrt(648))) + sqrt(8))*1.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2461, -2\/7, -3, 1.3, -40, -4\/3?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 y when three letters picked without replacement from {l: 4, s: 5, y: 3, o: 5, z: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19250533061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a century in months?\nAnswer: 14160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2514 and 10344?\nAnswer: 4334136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89389?\nAnswer: 71, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-two fifths of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*y - 5*y + 5*r, 2*y - 5*r = 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 4*b**2 + 8*b - 18. Let o be z(-6). Is 1658\/14 + o\/(-14) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 31*p - 2. Let s(a) = -7256*a. Calculate s(z(o)).\nAnswer: -224936*o + 14512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/29 (b) 3 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187380353 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 + g + 3. Let o be c(0). Suppose -1 - 25 + 57 = 31*f. Sort f, o, 46 in increasing order.\nAnswer: f, o, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65323\/83 + 787. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370364 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhzzhzhuhh. What is prob of sequence hhzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 1679453*g - 424470*g + 156.\nAnswer: -2103923*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*x - 0. Let m be (-5)\/x - (-544)\/51. Let w(u) = u**3 - 8*u**2 - 8*u + 10. Calculate w(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = 2*f, -11*f = n - 10*f - 8. Solve 5*s - 5*o = -5, -2*s - n*o = 35 - 63 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2148*x - 52061. Give r(22).\nAnswer: -4805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 3*x**3 + 0*x**3 + 2*x - 2*x**3 - 6*x**2 + 6. Suppose -2*y + 5*g + 9 = -11, -2*y + 8 = g. Let a be w(y). Sort 5, a, 0.\nAnswer: a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.677 + 47.8.\nAnswer: 47.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 10*q**3 + 49*q**2 - 4*q + 2. Find the first derivative of c(h) wrt h.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89 in 0.4, -0.01, -4\/5, 8, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-286)\/4147)\/(48\/(-87))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91\/510 - 1\/85. Let -u*r**2 - 1\/3*r - 1\/6 = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 8:26 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2 + 673648*u + 56725203488 = 0?\nAnswer: -168412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/9900 and 4\/693?\nAnswer: 69300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + -1.3. Let i = -10 - -16. Let w = i + -7. What is the second smallest value in g, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28789.689 + 3?\nAnswer: -28786.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -176, -260, -342, -422, -500?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 716.94 - 709. Let u = -81.74 + y. Let t = -74 - u. Which is the nearest to -2\/29? (a) t (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*r - 27. Let c(l) = -2*l**3 - 4*l**2 + l + 1. Let v be c(r). What is the closest to v in 0.2, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9989322?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.4, -2\/11, 20\/641.\nAnswer: -0.4, -2\/11, 20\/641, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 46, -7, 0.65?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 484 + a**3 - 76*a + 483 + a**2 in the form v*a + n*a**2 + r + s*a**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -26*a. Let t(d) = 2*d. Let u(l) = -3*l. Suppose 5*w - 7 = 4*q, -3*q + 4*w = -7*q - 52. Let m(p) = q*t(p) - 5*u(p). What is b(m(g))?\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Suppose -4*m - 38 + 6 = z. Let p(g) = -g**3 - 7*g**2 - g + 6. Let b be p(m). Round b to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3997.778653 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*u**2 - 5*u**2 + 453*u**2 + 398*u**2 + 180*u**2 to the form b*u + s + k*u**2 and give k.\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -14*q + 3*q + 5 - 4*q. Suppose -3*o = o + 36. Let h be v(o). Calculate the greatest common factor of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 - 5*q - 3. Let z be l(-3). Suppose 4*p - 2 = z*p. Let i = 7 - 5. Calculate the remainder when p is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 4 + 1)*(0 + 0 - 2*o)*(-2 + 0 - 28) to the form w + d*o and give d.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 4279*c**5\/60 + 761*c**4\/12 + 4120*c**2. What is the second derivative of s(k) wrt k?\nAnswer: 8558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756003 divided by -265?\nAnswer: -2756003\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5*2\/(-5) + 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2 + (-2 + 6 - 2)*(-2 + 5 + 0) + 3 + 1 - 2)*(-4*u + 0*u + 2*u)*(-2*u**4 + 4*u**4 + 5*u**4).\nAnswer: -84*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 + 1752*r**3 + 77112*r**2 - 195511968*r + 28709921232.\nAnswer: -3*(r - 306)**3*(r + 334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 5, 2, 12 in decreasing order.\nAnswer: 25, 12, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -369 + 368.4116. Let c = i - -0.6. Let n = c + -0.01160309. Round n to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1418*l = 1143*l - 2071 + 10871 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5 = -4*l, 4*o - l = -0*o - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*r - 30 = 0, w + r + 5 = 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*f = 35, -2*d = -0*d - 5*f - 37. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i - 12664 = 61*i. Let f = -1217 + i. Factor 1949*z - f*z - 4*z**4 - 4*z**5.\nAnswer: -4*z**4*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632910059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29699 + -267029\/9. Is 28 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:58 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -h - 4, -23 = -3*y - 4*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m + 3. Suppose 0 = -m*h + 26 - 22. Find the first derivative of 15*u**h + 2 - 9*u**2 + 0 wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 12 + 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4693*f + 2124 + 20944 = -37941 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -10*b**2 + 3*b + 3. Let i(m) be the second derivative of -55*m**4\/3 + 65*m**3\/6 + 65*m**2\/2 + 31*m - 39. Give 6*i(l) - 130*t(l).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -2644550.\nAnswer: -50246450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -42. Sort -9, 3, h in ascending order.\nAnswer: -9, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*l**3 + 2 + l - 85*l**3 - l**4 + l in the form x*l + r*l**4 + i*l**2 + k + z*l**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 570658.0745609 - -0.7.\nAnswer: 570658.7745609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*f**2 + 2654*f**2 + 523*f**2 - 847*f**2 + 1205*f**2 as v + p*f + g*f**2 and give g.\nAnswer: 3624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j + 3. Let i be f(-1). Let q = 3 + 0. What is the second derivative of -g**q - 6*g - g**3 - 3*g**i wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 108.1578447 and -156.\nAnswer: -47.8421553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.91 rounded to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34388190713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9432 - 9418. What is the greatest common divisor of 370 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -524 + -252?\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6426.6, -5\/6, -1\/11, -2\/17 in decreasing order.\nAnswer: 6426.6, -1\/11, -2\/17, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9))**(-15\/2)*h**4\/h*h**(-5\/2)*h*(h**(-3\/5)\/h*h**5)\/(h**(1\/4)\/(h**(-1\/2)\/h)) assuming h is positive.\nAnswer: h**(289\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {b: 3, o: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*s = -z - 205*s - 41, z - 2*s = -41. Let q(r) = r**3 + 42*r**2 + 46*r + 172. Calculate q(z).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*r + 541*r + 0*r**3 - 245*r**3 - 1.\nAnswer: -245*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*c - 2*c + o, 4*c = 5*o + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26320 by 752.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30025279*o**4 - 2*o**2 + 1174577*o - 6?\nAnswer: -720606696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2 + 2 + 84*v + 64 - 64 + (-2 - 4 + 4)*(-5*v + 4*v + 0*v))*(0 + 3 - 2 + (1 + 1 - 1)*(3 - 5 + 1) + 1 + 1 - 3).\nAnswer: -84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*s + 65*s + 16*s + 60*s + 57*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + q = -231, -2*q - 951 + 964 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82, 117, 152, 187, 222, 257?\n\"Answer: 35*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49.51 + -9.21. Let d = n - 40.2375. What is d rounded to 3 dps?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 2?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 120 + 455. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Let l = 0.06 - 0.0594. Let w = c - l. Round w to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 5*n + 8. Let h(w) = -w - 5 + 4 - 5 + 5. Determine 5*h(a) + o(a).\nAnswer: -a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.34232 years to decades.\nAnswer: 6.334232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 divided by 215?\nAnswer: -349\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 237493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14 and 7 + -8 - (-21)\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1166583825 and 1342?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64726611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3642*y - 84534. Give o(-23).\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((2 - (-76)\/11) + -1)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1307840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-866 + 869)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.628 - -5.9. Let b = m + 0.028. What is b rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, -23, -4 in increasing order.\nAnswer: -23, -4, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 7856?\nAnswer: -7856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.033, -206\/9, 109.9?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657294?\nAnswer: 2, 3, 11, 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227749.\nAnswer: 17, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 + 3*y. Let w(h) = 9*h**2 + 5*h. Let u(b) = -b**3 + 13*b**2 - 12*b + 7. Let m be u(12). What is m*j(n) - 4*w(n)?\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -5, 0, -4, -106?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14 + 24 - 11. Let o(b) = -b + 3. Calculate 5*i(t) + 2*o(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnoosnjsson. Give prob of picking 1 q and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3 + 2*v + 2\/3*v**2.\nAnswer: 2*(v - 2)*(v + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88.999 + -0.001. Let n = -87 - r. Which is the second smallest value? (a) -0.2 (b) -1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*w + 17, w = -y - 0 - 1. Suppose -12835 + 420835 = y*d. Round d to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 2, -3 in ascending order.\nAnswer: -3, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:02 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1885 + 946 - 5*b**2 + 945 - 3*b - b**3. Suppose 0*t + 2 = 2*t. Let o be (-2)\/t*5\/2. Determine l(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62909 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 235 or 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 2*r + 2. Let q = -52 - -48. Let h be 2\/(-8) - (-11)\/q. Give c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 0 + 4\/2. Suppose y*p + 5 - 17 = -5*h, 3*p - 4 = -4*h. Suppose -9 - 1 = 5*o, 4*j - h = 2*o. Is 2\/41 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 94*m + 1. Let v(i) be the second derivative of -43*i**3\/6 - 1254*i + 2. Give r(v(b)).\nAnswer: -4042*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(9\/(-72)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 5*d**8\/56 - d**4\/6 - d. What is the third derivative of t(j) wrt j?\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 19871 = -4*y - 5567, -3*y = b - 10728. What is the smallest common multiple of 2980 and y?\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 13*i + 6. Let x be b(-14). List the prime factors of (-351)\/x - 17\/(-136).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 28. Let u be t(-25). Is -34 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4 and (-696)\/(-56)*(-1)\/(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 55 - 7 = s, 4*s - 3*d + 15 = 0. Let k = 5 + -1. Sort s, k, 0.2, 6 in ascending order.\nAnswer: 0.2, s, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163355 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 11) to base 2.\nAnswer: 1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.98 + 1.48. What is the nearest to -1 in -4, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1443258662276056\/121605 - -11868415462. Let j = k + 52\/335. What is the common denominator of j and -26\/33?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -532\/3 - -174. Is w greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23335 is divided by 93?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -65*o**3 + 3*o**2 + 69*o + 98. Is x(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1494 + 1294 + 3127)*(4*h - 2*h - h) to the form t + c*h and give c.\nAnswer: 5915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211020221 + -12?\nAnswer: 1211020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, v: 2, c: 3, m: 3, j: 2, p: 2}. Give prob of picking 1 c and 1 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -113 + ((-1)\/1 - -2). Suppose -5*b = -3*b + 414. Let q = b - p. Round q to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146710 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -2\/3*u**3 + 56 + 0*u + 0*u**2. Let p(k) = 10*k**2. Calculate o(p(m)).\nAnswer: -200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 211\/(-5) + 2\/10. Let v = 72 + m. Suppose v = 3*i + 2*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4304, 4298, 4294, 4292, 4292?\nAnswer: 4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 - 57 - 3*y**2 - 10 + 2*y**2 - y**2.\nAnswer: -2*y**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**2 + 109502*d - 2*d**2 - 110750*d + (2*d - d + 0*d)*(d + d + 0*d) - 4*d**2 + 0*d**2 + 6*d**2 as p + m*d + t*d**2 and give m.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 96501*k**2 + 965018*k + 4. Calculate a(-10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 1 - 2*a**2 + 6*a**2 - a + 1. Calculate the remainder when b(4) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187560474 divided by 1689734.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.7229737 rounded to three dps?\nAnswer: 44.723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -526 + 526. Let q(u) be the third derivative of 2\/21*u**4 + 0*u - 1\/210*u**5 - 16\/21*u**3 + s - 7*u**2. What is z in q(z) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 - 8*z + 12. Let j be w(7). Let q = 1203 - 1207. Sort j, q, 0, 1 in decreasing order.\nAnswer: j, 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k + 1. Let z(d) = 86*d + 17. Let b(t) = -34*l(t) + 2*z(t). Let v(a) = 2*a**2 - 610*a. Calculate b(v(g)).\nAnswer: 4*g**2 - 1220*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211 (base 3) in base 11?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -173907000 to the nearest one million.\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -11131?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2. Let d(b) = 1853*b**2. What is d(x(r))?\nAnswer: 7412*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtv. Give prob of picking 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*k - 2*b - 2*b, 13 = 4*k + 3*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {m: 4, w: 2, f: 8, a: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v = -101 - 344 - 139 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w*y**3 + 2*w*y**2 + 70736*w*y - 11*y**3 + 450*y**2 wrt y.\nAnswer: 6*w*y + 4*w - 66*y + 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002754 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 37. What is the remainder when d is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8602 - 28600 = 539*o + 12658 + 7769 for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y, -4 - 4 = -2*m - 2*y. Suppose 0 = -3*k - m*k. Suppose 0 = l - k*l. Solve l = 5*r - 7*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 86*k**2 + 4*k - 29. What are the prime factors of l(-7)?\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(567) + -5) - (sqrt(7) - sqrt(35)\/(sqrt(5)*-1) - (sqrt(7) + -5*sqrt(847))).\nAnswer: 25 + 124*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 78, 218, 454, 810, 1310, 1978, 2838?\n\"Answer: 4*s**3 + 12*s**2 + 4*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1074 - 1076. Let b(u) = 10*u. What is b(c)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let p = 163\/324 - -20\/81. Let j(o) be the second derivative of 0*o**3 + 6*o + 0*o**2 - p*o**4 + 0. Determine j(k(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453007103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y - 72 = 36*y. Let a be (-11)\/((-55)\/724475) + (y - -1). What is a rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 92 + 25*m**2 - 13*m**2 - 13*m**2 + (-4*m + 5*m + 2*m)*(4*m + m - 3*m))*(2 - 4 + 6).\nAnswer: 20*m**2 + 8*m - 368","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 5*t - 63. Let y be d(13). Determine m so that -25*m**3 - 6*m**4 + 16*m**4 - y*m**2 + 5*m**5 + 11*m**2 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55676 and 1364.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 146 + 91*f - 4*f**3 + 97*f - 72*f**2 - 242 - 45*f**2 + 29*f**2.\nAnswer: -4*(f - 1)**2*(f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 0.375?\nAnswer: -5.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/6)\/(-4) - (14 - 2320\/150). Solve -4\/5*r + 12\/5 + f*r**3 - 12\/5*r**2 = 0 for r.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaf when four letters picked without replacement from tfccfattfchhfafacca?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6330 divided by -5.\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22088176)\/(-1579476) + ((-21)\/2)\/((-6)\/(-8)).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1909 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-744)\/(-4) + 0. What is the greatest common factor of 23 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 31*r - 34*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/134700252 and 71\/246.\nAnswer: 134700252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*z. Suppose 5*u - 184 + 44 = z. Is 13 a factor of 4\/(-14) + 400\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2793834575\/171279114 + 6\/1241153. Let y = 12\/23 + x. What is the common denominator of -75\/22 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 96 + 0*i**2 - 98 + 2*i**2 + 241*i.\nAnswer: 4*i**2 + 241*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20678378 and 2128.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3743065923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 15*q**3 - 3*q - 8*q**3 + 0*q**3 - 6*q**3 + 8*q**2. Let c be y(-7). What is the highest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-5)\/(-2))*2. Suppose 8*j = y*j + 3*q - 63, -5*q + 15 = 0. Let h be (-4)\/(-22) + j\/99. Solve b - 5*l + 2 = -0*l, -5*b + 3*l + 12 = h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5*u**1*u**(2\/9)\/(u**(-4)\/u) assuming u is positive.\nAnswer: u**(101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55069208, -110138411, -165207616, -220276823, -275346032, -330415243, -385484456?\n\"Answer: -a**2 - 55069200*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -50144*j + 15. Is a(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -59. Let n(g) = 37*g**2 - 19*g**r - 15*g**2. Let u(l) = 28*l**2. Determine n(u(q)).\nAnswer: 2352*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 36\/4)\/(-1). Solve n = 12*z - 15*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411 (base 8) to base 6\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + -938794?\nAnswer: -938756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.1, -8516\/7, -4 in descending order.\nAnswer: -3.1, -4, -8516\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**4\/12 + 2*z**2. Let c(f) = -3*f - 2. Let t(d) = d + 1. Let l(s) = -2*c(s) - 4*t(s). Give l(y(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 268*f - 272*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7770969 + 3885484 + 580*i + 3885485.\nAnswer: 580*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 = -4. Let f be 1142\/12 - s\/(-12). Let b = 141 - f. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11034012443 (base 5) in base 8?\nAnswer: 55655757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*h + 56. Let c = h - 7. Let x = 1 + c. Solve x = -4*w + 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16299 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: Suppose -157477 = -200*x + 167923. Is x bigger than 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -10*w - 126. Let c(u) = w - 21 + u**2. Let g(i) be the first derivative of -19*i**2\/2 - 4. Calculate g(c(k)).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.13076 - 1.13. Round q to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 27 = -146*h + 138*h, 16*h + 16 = 2*d + 13*h for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 32. What is the lowest common multiple of 14 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/626902 and 97\/10?\nAnswer: 3134510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + 18 - -15) + -21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 24 = -8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1350035 divided by 270007.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 2*q**6\/3 - 7*q**5\/5 - 8*q**4\/3 + 8*q**3\/3 - 6*q. Let o(b) = 0. Calculate b.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102512.\nAnswer: 2, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {y: 1, s: 5, f: 1, t: 3, o: 3, r: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**4 - 4*q**3 + 3*q**2 + q - 7. Let k(n) = 9*n**4 - 8*n**3 + 6*n**2 + n - 15. Let c(o) = 3*k(o) - 7*y(o). Factor c(l).\nAnswer: -(l - 2)**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6312 - (2\/(-6))\/((-14)\/(-42)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11030667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346339 is divided by 3785.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-6)*1\/(-6). Let u = 1.99 + -1.49. Which is the third smallest value? (a) u (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3403 divided by 6643.\nAnswer: 3403\/6643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*o + 43*o - 102*o to the form v + d*o and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 41*l - 51. Let n be o(19). Let w(h) = 4*h**2 + 7 - 2*h**3 - 4*h**2 - 6*h**3. Let s(y) = 7*y**3 - 6. Calculate n*w(a) + 7*s(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**4 + 2*p**3 + 9169*p - 9092*p + p**4)*(-2*p + 0*p + 3*p).\nAnswer: -4*p**5 + 2*p**4 + 77*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1833*y + 12176 = -17754 - 59887 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:05 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4*p - 24, -143*p = 5*x - 120*p + 141 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 61*b**6 + 578*b**3\/3 + 362. Find the third derivative of u(w) wrt w.\nAnswer: 21960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814401054 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - w**4 + w**3 + 3*w - 3*w**3 - 3 to k*w**3 + p*w + l + c*w**4 + h*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*j + 4*c + 21, 0 = -2*j - 3*c + 1. Suppose 2*z - 2*v - 2 = 0, -7*v - 36 = 4*z - 3*v. Let n be j\/z*(-5 + 3). Is 2 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1879 (b) 0.1 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1*sqrt(176) - sqrt(176)) + sqrt(176) + -2)**2 - (((sqrt(176) + 0)*-5 + sqrt(176))**2 - (sqrt(176) + (4*sqrt(176)*-2)**2)).\nAnswer: -36*sqrt(11) + 8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -46, 0.639, 5, -2, 4?\nAnswer: 0.639","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 25*m**3 + 15*m**2 - 23*m - 13. Let n(b) = 75*b**3 + 45*b**2 - 68*b - 38. Let o(a) = 7*j(a) - 2*n(a). Solve o(w) = 0 for w.\nAnswer: -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123102 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9126656 and 4563328.\nAnswer: 9126656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/((-4)\/45))\/((-17)\/102). Let q = n + -132. Let f(z) = z**2 + 2*z - 1. What is the remainder when f(-4) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36770.6934 minutes to weeks.\nAnswer: 3.64788625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 - 3*w + 1. Let s(f) = 22*f**2 - 6*f + 8. Let n(m) = 5*k(m) - s(m). Calculate n(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2\/7, -1, 37, -5.\nAnswer: -5, -1, 2\/7, 3\/7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 36*f + 261. Calculate r(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2202057 and 10179.\nAnswer: 6606171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23492087923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**3 + 4*z**2 - 3*z + 3. Let x be q(3). Suppose 5*c - 528 = x. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28376 rounded to the nearest 100?\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5221 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8258064 and 336.\nAnswer: 57806448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*s + 13, 2*s = -3*l - 0*s + 17. Suppose -2*k = -d, -l*d + 3*k + 20 = -d. Is 16 a factor of d\/6*117\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 7*a - 7. Let j be s(8). Suppose -w = -1 - j. Suppose -2*q = -3*q - 5, w*y - 24 = 2*q. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -4. Suppose -q + 12 = 3*d. What is the second derivative of -12*g - 2*g**2 + 6*g**d + 0*g**2 - 2*g**2 wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 22*s**3 - 6*s**2 - 70*s - 44.\nAnswer: 2*(s - 2)*(s + 1)**2*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121 + -1?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011453167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 22*d**2 - 12*d - 4. Let i be f(15). Suppose -14*m + i = 159. Calculate the greatest common factor of m and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*g**3 - 4*g**2 - 100*g + 104*g**3 + g**2 + 4*g**2 + 0*g**2 to q + s*g + u*g**3 + z*g**2 and give s.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 170 = 11*n. Calculate the remainder when 48 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (-2)\/5 + -5 + (-984)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6348 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) - ((sqrt(40)*-1)\/sqrt(8))**2 - sqrt(5)) + (sqrt(270) + -2*sqrt(270) - sqrt(30) - sqrt(30))\/sqrt(6) + 1.\nAnswer: -19 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 21*g**2 - 12*g + 81. Calculate the remainder when y(24) is divided by 139.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99771949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/506 and -23\/176?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-8)*-34 - 14\/56. Let b = -22 + 40. Suppose 5*l + 2*w = -4 + 15, 0 = v*l - 3*w - b. Let z(x) = x**3 - x**2 - 4*x + 1. Calculate z(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Let q = p + -2. Suppose -5*i - 31 = 3*v - i, 3*v - 4*i - 1 = 0. Put v, -1, -4, q in ascending order.\nAnswer: v, -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - 21. Let l = 2279.7 + -2187. Let f = l + i. What is the nearest to 0 in f, 0.06, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-3 + 3 + 1 + (3 + 2 - 3)*(1 - 4 + 2) - 3 + 2 + 3 - 3 + 3 + 2 - 2 + 3 + 0)*(-20*p + 28*p**2 + 20*p).\nAnswer: 224*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 3, 0.3, -0.3, -1\/22, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.13 and 0.6894.\nAnswer: 0.5594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2853, 11451, 25791, 45873, 71697, 103263, 140571?\n\"Answer: 2871*h**2 - 15*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w + 69 = -30*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36332?\nAnswer: 2, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 12*j - 9. Let g be q(11). Suppose 4*v + 5*t + 3920005 = 0, -g*v + 0*t = 5*t + 1960005. What is v rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from xxtxxtttttsxtsuxtsxs.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -2*l + 2*o + 2, -3*o + 37 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498612?\nAnswer: 2, 3, 37, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -570*u - 11365. Calculate q(-20).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c71 (base 16) in base 14?\nAnswer: -d161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 16. Let q be u(9). Let p(v) = -v**2 - 3*v - 2. Let m be p(q). Do 15 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t*t\/t**(-26))\/t)\/t**14 assuming t is positive.\nAnswer: t**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000111011010 (base 2) in base 12?\nAnswer: -125b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q*q*q**(-5)*q)\/(q**7\/q*q\/q**(-1)))**(-2\/83) assuming q is positive.\nAnswer: q**(18\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813246860?\nAnswer: 2, 5, 40662343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -300 + 535. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 8*g**3 - g**3 + (-5*g**2 + g**2 + 2*g**2)*(-2*g + 3*g - 2*g))*(-9*g**2 + g**2 - 4*g**2).\nAnswer: 96*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4956 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n - 51. Let x be o(-5). What is the units digit of x\/(-14) + 127*6\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjptttpt. Give prob of sequence ptpb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zza when three letters picked without replacement from azaazaa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 14 + 2 = -3*f, 0 = f - 2*v - 8. Suppose 2*w + f*w - 16 = -4*c, 5*c = -w + 23. Let i = 30 + -89\/3. What is the closest to 1\/4 in 0.2, i, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 + 1210034*l**2 + 15730128*l + 14520096 = 0. Calculate l.\nAnswer: -605004, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 23*f**5\/20 + 3*f**2\/2 - f. Differentiate g(s) with respect to s.\nAnswer: 69*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630406927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10 - 4*y + 0*y**3 + y**3 - 2*y**3 - 4*y**2 + 7. Suppose 2*b = -k + 13, 18 = 3*b + 3. Let z = -6 + k. Determine g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-52) + (-873)\/156 - -5\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 - 8*y - 43 + (-2*y - 2*y + 2*y)*(-1 + 5 - 5) - y - 3*y + 6*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-99)*6*204\/714\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 + -2.7. Let v = 0.18 + 1.82. Is x at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f + 12*f - 14*f - 9*f**2 wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10567 and 446.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort 10028.5, -1\/34, -3, 1\/6.\nAnswer: -3, -1\/34, 1\/6, 10028.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 140*f - 142*f + 3637, -5*f - 20 = 0. Calculate the greatest common factor of 153 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1004 + 1002 + 4*d**2 - 3008 + 1002. Let f(n) = 344*n**2 + 3. Determine g(f(s)).\nAnswer: 473344*s**4 + 8256*s**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*w + 12 = 8, 5*y - 18 = 4*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(13) - (sqrt(1872) + 2 + sqrt(13)))*-4 - (sqrt(637) + 1 + sqrt(26)\/(sqrt(2) + sqrt(50) + sqrt(2)))) + 1.\nAnswer: 13 + 286*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 659 - 64?\nAnswer: 5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:07 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e24c - -c?\nAnswer: e259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -b?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243322350 (base 6) to base 4.\nAnswer: 101232020322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150679 or 150343?\nAnswer: 150679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**2 - 3576*c + 10638.\nAnswer: 2*(c - 3)*(5*c - 1773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*k**2 - 174*k + 20.\nAnswer: 2*(k - 5)*(17*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Let c(u) = 1. Suppose d + 1 = 2. Let i(l) = -l - l + 0*l + d. What is w*c(m) - i(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 462*n + 176. Is s(7) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (200 - 200 + 5*d)*(2*d - 6*d - 3*d)*(1 + 0 + 1)*(-2 - 3 - 10) as z*d**2 + f + w*d and give z.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/9 + 2*v**4\/3 - 14*v**3\/9 - 14*v**2\/9 + 4*v - 16\/9 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 = 29*r - 65. Let b(p) = -10*p - 14. Let s(n) = -n - 1. Let c(y) = b(y) + 3*s(y). Is c(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ba85 (base 16) to base 4\nAnswer: -23222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 55*l**2 + 0 - 5\/2*l**3 - 100*l.\nAnswer: -5*l*(l - 20)*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 8*y - 6. Let s be z(-5). Suppose 3*b - 48 = -s. Calculate the remainder when 88 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, -13, 0.3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 408 + 97 + 152.\nAnswer: -r + 657","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -11.301218?\nAnswer: -33.903654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + (30 + 5)\/(-7). Solve -3*w - x + 22 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226892 is divided by 89.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 25*z**2 - 18*z + 94. Let g be n(13). Which is smaller: g or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3*1)\/((-332)\/(-498))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + k - 1 - 8 - 46 to r + w*k + o*k**2 and give r.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*i - 8*i**2 - 121 + 9*i**2 + 121 to k + s*i**2 + j*i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4\/(-7))\/((23868\/(-182))\/51).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 45*f - 5\/7*f**7 - 1\/56*f**8 + 23\/12*f**4 + 0 + 0*f**6 + 0*f**2 + 0*f**3 + 0*f**5. Find the third derivative of r(z) wrt z.\nAnswer: -120*z**3 - 1800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u + 4 = 0. Suppose -u*r - 25 = -7*r. Suppose -3*x - 1 + r = z, -3*x + 2*z = -10. Which is the third biggest value? (a) -2\/11 (b) -2\/13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-13)\/(-78))\/((-7)\/(-32298))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -906, -989, -1074, -1161, -1250?\nAnswer: -1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -4)*(-29)\/203*(-28)\/78?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667153717.\nAnswer: 683, 976799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1687092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 4*t - 5. Suppose -10*h = -7*h - 9. Suppose -h*s + 24 = -s. What is the remainder when s is divided by c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*24\/(-64)*(-8)\/(-56)*-4\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*d**2 - 149*d + 152*d + 74*d**2.\nAnswer: 310*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -1\/11, -3, 896?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(19) + sqrt(171) + sqrt(19))**2 + sqrt(304) + 2 + 4.\nAnswer: 4*sqrt(19) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 695, -1\/2?\nAnswer: 695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 43 + 40 = 0. Sort x, 2, -106 in ascending order.\nAnswer: -106, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7657498*w**2*x**5 - 2*w**2*x**3 + 1968*w**2*x**2 + 3*w*x + 1064*x**2 wrt x.\nAnswer: 459449880*w**2*x**2 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 248*c**2 + 5282*c\/3 - 3032.\nAnswer: -2*(c - 4)*(c - 3)*(c + 379)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0 - 9 = -3*g, 0 = -j - 3*g - 3. Let z(u) = -2*u**2 + 7*u - 1. Let a be z(j). Factor 2\/7*n**a + 0 - 2\/7*n.\nAnswer: 2*n*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-45)\/6)*2. Let x = 21 - s. Solve -5*c - 25 = 0, -5*z + x*c - 3*c = 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*n + 17 = -0*n, 5*b - n - 118 = 0. Let j = -41 + b. Which is bigger: j or -28?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -935, -1781, -2641, -3521, -4427, -5365, -6341, -7361?\nAnswer: -8431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022120201010 - -12?\nAnswer: 2022120201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l*l**3))\/l*l**2\/l)**(-29) assuming l is positive.\nAnswer: l**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5483 + 6621. What is the closest to 0.1 in 4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21880, 40534, 59188, 77842?\nAnswer: 96496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 2 (b) -0.05 (c) -4\/7 (d) -0.089 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Let q = 1 - 0. Let h = -24 - -21. Sort c, h, q in descending order.\nAnswer: q, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4635, 9325, 14073, 18879, 23743, 28665?\n\"Answer: 29*f**2 + 4603*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2)\/(-14))\/(21\/21).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 11) + (294 - 410) + (3 - -2)\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/16*30*(-832)\/156. Put -112, 1, u in ascending order.\nAnswer: -112, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) -1\/2 (c) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40394617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**5 + 85*s**2 + 298*s.\nAnswer: 60*s**3 + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -7, -8, -9, -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 9. Let j(g) = g**2 + 15*g + 28. Let v be j(-12). Calculate the remainder when 25 is divided by k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1094 + 304*g**5 + 206*g**5 + 2*g + 215*g**5 wrt g?\nAnswer: 14500*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -193 and 3.\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -62*r - 829. What is the remainder when 260 is divided by b(-14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 70461?\nAnswer: 70463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*y**4 - 26946*y**3 + 1243*y - 38.\nAnswer: -120*y**2 - 161676*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + sqrt(847))**2 + 3 + (sqrt(847) - (sqrt(847) - (sqrt(847) + -1)*-2)**2) + 0.\nAnswer: -6728 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4\/2 - 2097*y**3\/2 - 6273*y**2\/2 - 6267*y\/2 - 1044 = 0 for y.\nAnswer: -696, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002088 to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*x + 13. Let o be ((-8)\/(-12))\/(10\/(-105)). Is o >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + 173. Calculate the greatest common factor of 31 and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 238*v**3\/3 + 4*v**2 + 24*v - 128. What is the second derivative of j(o) wrt o?\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -43 (c) 1\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -u - 21, 4*u - l + 75 = -2*l. Let q = u - -26. What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0 (c) 4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*q - 179*q = 4278 + 2850. Is q at least -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*k**2 + 264 - 4*k**3 - 129 + 10*k**4 - 135 wrt k?\nAnswer: 240*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15617 + -15578. Solve 7*w = a*w + 64 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 208*g + 191. Does 16 divide v(50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 3*d**2 + 3*d - 12. Calculate the remainder when f(4) is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 598.9826 - 599. Let n = -1.6224 - t. What is n rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16903 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990905?\nAnswer: 5, 59, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/(-20))\/(3\/165). Let d = w + -14. Is 40 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzzznznznznn. What is prob of sequence zn?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 32 = 2. Let p(n) = n + 1. List the prime factors of p(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693093017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1579 divided by 1579\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + 0 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 386, -5, 3 in increasing order.\nAnswer: -5, 3, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004978 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 + 433*n**2\/6 + 863*n\/6 + 431\/6.\nAnswer: (n + 1)**2*(n + 431)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 35441.81 meters?\nAnswer: 3544181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 - 61. Calculate the highest common factor of p and 756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 38.44064mm?\nAnswer: 0.03844064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -828\/4069, -1, 11, -4 in descending order.\nAnswer: 11, -828\/4069, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggssgsgsg. What is prob of sequence gsg?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 8. Let y be d(5). Let m(z) = 2*z - 5. Let b be m(4). What is the tens digit of (80 - -3) + b\/y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o - 33 - 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 3:16 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/((-440)\/96))\/(2\/5). Let p(h) = -h - 4. What is p(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1748 = -129*w + 64*w - 1502 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 1 + 1. Factor 0*d**2 - 4\/3*d**3 + 0 + b*d**4 + 2\/3*d**5 + 2\/3*d.\nAnswer: 2*d*(d - 1)**2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.12732 nanoseconds to hours.\nAnswer: 0.0000000000058687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -156*u + 785. Let f be k(5). Let l(d) = 0 - 1 + 3 + d. Let h be l(-1). Solve f*s - 19 = h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1331) + -1 - -4*(3 + sqrt(1331)).\nAnswer: 11 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3315 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -313627?\nAnswer: 2\/313627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = p + 65. Let t = p + 148. Let x be 1 - 2 - (-20)\/24. Which is the nearest to 2? (a) x (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*s + 30692 + 45280, -56974 = 3*s - o. List the prime factors of (s\/16)\/((-2)\/2).\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3400915 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20474273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g = -326 - 1798. Calculate the remainder when g is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2837 - 2840. Which is the second smallest value? (a) -1.28 (b) 3\/2 (c) l (d) 9 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*u - 12, 5*q - 89*u = -84*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-5310)\/(-495)*-22)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o - 1. Let x(d) = 11*d - 2. Let f(a) = -5*l(a) + 4*x(a). Let s be f(3). Let g = s + 91. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 64, 159, 314, 541, 852?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(7\/4)*i\/((i\/i**(-7))\/i*i)*((i*((i\/i**1)\/i)\/i)\/i)\/(i\/(i\/(i\/i**(2\/7)))) assuming i is positive.\nAnswer: i**(-223\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1810 - 1366 = 37*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.59 and 1.94.\nAnswer: -34.1246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*x**2 + 464 + 761 - 81*x**2 + 35*x**2 in the form z + c*x + a*x**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/4971030 and -89\/4575.\nAnswer: 1516164150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/(-4) + 3)\/((-2)\/4). Which is bigger: l or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.889685 * 17.\nAnswer: -117.124645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-310))\/(((-12)\/80)\/(4\/(-96)))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533 = 7*x - 90. Let d = 621\/7 - x. Which is the nearest to d? (a) -3 (b) 0.05 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*r + 1846 - 546 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -f - 1. Is 26\/(-6)*30\/f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12037 (base 8) to base 12\nAnswer: 2b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h. Let q(a) = -1885*a**2. What is g(q(n))?\nAnswer: -13195*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 87*d - 146. Calculate s(45).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3407*o + 3407*o - 75 + o**3 - 3*o**3 + 2*o**3 + 2*o**3 + (-2*o - o + 2*o)*(-3*o**2 + 0*o**2 + 4*o**2) + o - 2*o**3 - o.\nAnswer: -o**3 - 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38949)\/337558*78\/(-4)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -5)\/(11*3\/33)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9624 in 0, 4, -0.207?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j - j**2 - 2*j - 2*j. Let q(o) = 14*o. Calculate p(q(c)).\nAnswer: -196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 3\/239359, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 7*q - 3. Give w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 48, 117, 224, 375, 576?\n\"Answer: n**3 + 10*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:13 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97074461633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 277, 272, 265, 256, 245?\n\"Answer: -d**2 - 2*d + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-7)*(0 + -7). Let t(b) = 5*b - 3. Let j be t(r). Suppose -g - 2*g + j = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6972*k - 8 = 6976*k + 4*g, -5*k - 46 = -4*g for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwah when four letters picked without replacement from ithaititatw.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 + 277\/9. Let b = v + -26. Let g be (-10)\/725*-1*b. Is g less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, -12, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:22 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (707560\/(-1012))\/5 + 3. Let r = 2446\/23 - j. Let l = r - 2700\/11. Find the common denominator of l and 6\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:57 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y - 97*y = -5*y - 3388. Which is the second smallest value? (a) -3 (b) y (c) -0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6591439447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*a = 354 + 22. Solve -x - a = -3*u, 0 = 7*u - 3*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -8*v + 228. Suppose 0 = l - 4 - v. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786525 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 152*k**3 - 3*k**2 + 11*k - 17. What is the units digit of i(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 8*j**4 - 20*j**4 + j**3 + 12*j**2 - j**5 + 5*j**5.\nAnswer: 4*j**2*(j - 3)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2537*l + 15220. Give f(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4579 = 2*u + 4*w - 4619, 2*w = 3*u - 28 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439180 divided by 300?\nAnswer: 21959\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.224646 rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/96 and -11\/2689644.\nAnswer: 21517152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.198 + -0.898. Let k = 468438\/239 - 1960. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4 + 15*w**3 + 48*w**2 - 64*w = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*h**3 - d*h**2 + 13838363*h**3 + 2*h**2 - h + 5622087 wrt h?\nAnswer: 6*d + 83030178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5481 - 6.5481. What is the fourth smallest value in 2, b, 18\/301, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/113))**(5\/4) assuming p is positive.\nAnswer: p**(555\/452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4026169 and 79716?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 292 and 201188?\nAnswer: 201188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 71. Let w be (o\/4)\/((-4)\/(-32)). Let s(t) = -2*t + 8. Determine s(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593998.\nAnswer: 2, 23, 37, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(4*sqrt(1000)))**2.\nAnswer: 17\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224094527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 14, f: 5}. Give prob of sequence fffa.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1930 + 1915 - (-2 + -24)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.085205*-1809\nAnswer: 154.135845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 6 = -9*c. Let x(j) = 38*j - j**c - 62*j + 5 - 2*j**2. Let n(t) = -2*t**2 - 12*t + 2. Let y(p) = -11*n(p) + 6*x(p). Solve y(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -13 (c) 1\/3 (d) -1\/12 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 34168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15734 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886807*-0.0911.\nAnswer: -80788.1177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272\/((-141440)\/18330) - 14\/8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -93 (b) 7 (c) 1\/3 (d) -0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n + 96 - 60. Sort -7, 24, n.\nAnswer: -7, n, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6868 - 179 - u + 5983 + 445 + 1274 as r + q*u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2953297900?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10240431301 + -3?\nAnswer: 10240431243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (15 - 9610\/540) + 0\/1 and 17\/9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 21639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*c + 46 = 0, 2*c - 59 = 3*b + 2*b. Let j = 634 - b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = l - 80, -43*l - 167 = -38*l - 7*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:38 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - 0.42. Which is the second smallest value? (a) -3 (b) y (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 64.61564mg?\nAnswer: 0.00000006461564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 + 55 + 52 + -15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 419, 2026, 4731, 8546, 13483, 19554, 26771?\n\"Answer: 2*g**3 + 537*g**2 - 18*g - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 103.5.\nAnswer: 2, 3, 103.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.95 + 0.05. Let q be 750\/1050*(-2)\/10. Let x = -67\/4 - -461\/28. Which is the closest to x? (a) s (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppprrnrpprrrrap. Give prob of sequence ap.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1716\/1287)\/(8\/(-162))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/2*2*1. Let l = f - -14. Suppose 11000020 = -5*s - l*j, -s + j - 2200020 = 6*j. Round s to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243 and 12564?\nAnswer: 339228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(405)*1 + 2*sqrt(405)*-1))\/((sqrt(1296) - sqrt(1296)*-2)\/sqrt(4)*5).\nAnswer: -4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 9 + 14 = 3*w, -5*w + 1 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.16862 centuries in decades?\nAnswer: 91.6862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 222*y**2 - 21*y + 21. Let j(n) = 74*n**2 - 7*n + 6. Determine 7*j(v) - 2*q(v).\nAnswer: 74*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858\/25451 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -990 - -989.9999066. Round t to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23049076, -23049081, -23049084, -23049079, -23049060, -23049021?\n\"Answer: n**3 - 5*n**2 + 3*n - 23049075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7 - 1 = 2*a, -2*t = -3*a. Let u(f) = -f + 17 - t*f - 2*f + f**2 - 7*f. Let l be u(12). What is the second biggest value in -5, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:40 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -2, -5, -0.057?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223223241323 - -4?\nAnswer: -223223241314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -622 + 621.9394. Let z = v - -0.059442. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1633*g + 5. Is k(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1707*x**3 + 41*x**2 + 1698*x**3 - 118*x**2 to the form p*x**2 + w*x**3 + b*x + a and give p.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -415.69 times 2\nAnswer: -831.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187 and 3111?\nAnswer: 34221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(((((o*(o\/(o*o**20*o))\/o)\/o*o*o)\/o)\/o)\/o*o)*o*o**13 assuming o is positive.\nAnswer: o**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (40 + -11) - ((2 - 2) + -10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -y. Let t be 60\/(-9)*(-6)\/y. Let d = 13294 - 13286. Calculate the greatest common factor of t and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/401 + -35725\/1604. What is the common denominator of -67\/10 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, k: 11, b: 1}. What is prob of sequence bk?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n**2 - 4*n - 269. Is q(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 26*a**2 - 46*a - 28. Calculate o(24).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -43\nAnswer: 34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c**3 + c**2 - 1. Let p be z(1). Suppose 24 = 5*f - 11. Suppose 162 = p*u - f*u. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 458 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9300 is divided by 1322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 35\/(-14) + 3 + (-10)\/(-4). Suppose -v*w + 0*w - 911 = -5*d, -w = 5*d - 903. What are the prime factors of d?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2\/11, 0.5, -27, -1\/117.\nAnswer: -27, -11, -2\/11, -1\/117, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575*a + 16 = 1571*a. What is the closest to 0 in 200, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**2*o**(2\/89)\/o*(o\/o**(-16\/9)*o)\/(o\/(o*o**17*o*o)*o) assuming o is positive.\nAnswer: o**(15860\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.6 and 24843.3?\nAnswer: 24839.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 15*p**2 - 17*p + 20. Let y be i(16). Suppose 5*h - 25 = -5*d, y*h + 1 = 6*h - d. Let a be (-3 - 4\/h)\/(-4). Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32982 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 2. Let h(i) = i + 3. Let y(d) = -4*f(d) - 3*h(d). Let x be y(7). Let v(g) = 5 - 3 + 8*g + 0 + x. Let m(z) = -z - 1. Calculate 14*m(c) + 2*v(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 870458086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1951337 + 1905194.19. Let z = v - -46139.8099981. Let g = -3 - z. Round g to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 14 + 1 - 3.\nAnswer: 3*c + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 21*f**2 + 7*f - 7*f**2 - 17*f**2 - 2. Let o(l) = -l**2 + 2*l - 1. Suppose -40 = -12*c + 56. Determine c*o(i) - 3*j(i).\nAnswer: i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6 + 3. Is 1*z\/(-6)*-998 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 26\/6*(-2 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 90. Suppose 6*w + 420 = 1620. Let o = -184 + w. What is the remainder when x is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2468987685 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = k - 4*k + 100, 0 = 3*x - x - 32*k - 20*k - 214 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -95 + -4176?\nAnswer: -4271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - w - 3. Let h be i(0). Put 0.5, h, 0.2 in increasing order.\nAnswer: h, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56551723*d**3 - 79088565*d**2 - 2 wrt d.\nAnswer: 339310338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -0.09384622122?\nAnswer: 3.90615377878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 232, 533, 956, 1501, 2168?\nAnswer: 2957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 455492, 910894, 1366296, 1821698, 2277100?\nAnswer: 2732502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g\/(g**(1\/10)\/g)*g)\/g*g)\/(g**(2\/15)\/g)*g\/((g*(g\/g**(-36))\/g*g*g)\/g)*g**(-36) assuming g is positive.\nAnswer: g**(-1987\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4\/5 + 27\/5*d - 7\/5*d**2 = 0?\nAnswer: -1\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -326.0602 and -44.\nAnswer: 14346.6488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p - 9*p - 10*p - 10*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*q = 18, -5*q - 2 - 14 = -3*t. Let x(k) be the first derivative of 2*k**3\/3 - 2*k - 2. What is x(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1095*l**2 - 1095*l**2 + 2212*l**2 - 2*l.\nAnswer: 22*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52772\/(-804773) - 4327\/61.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10.219, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7089*r - 148196. Calculate u(21).\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 169 = -15*f. Suppose -20 + 145 = 5*v. Let j = f + v. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.2. Let p(x) = 21*x - 31*x - 9 + 7*x. Let k be p(-6). Which is the third smallest value? (a) k (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-10))\/(1056\/440)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**5 + 32*a**4*c**2 - 32*a**3*c - 88*a**2*c**2 + 130*c**2 wrt a?\nAnswer: 300*a**2 + 768*a*c**2 - 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + -6 + (5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 58 - 34)*(-3*j**3 - 4 - 8*j**3 - 3*j**3).\nAnswer: 1148*j**3 + 328","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 20 - 14 = -5*c, -3*i + 4 = -c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 312847 - 36?\nAnswer: 312811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-60))\/(2\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 6\/2*(4 - 3). Solve -s = -2*v + a, -s + 2*s - 5*v = -21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 547208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5676 and 1032.\nAnswer: 11352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -135*x**3 + 4*x**2 - 5*x. Let n(p) = -135*p**3 + 3*p**2 - 4*p + 1. Let u(g) = -7*n(g) + 6*z(g). Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-8) - (-192)\/(-512))*-2. Sort -5, 0.4, a, -2\/9.\nAnswer: -5, -2\/9, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + -4777?\nAnswer: -4760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 774 divided by -1637.\nAnswer: -774\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 19 = 4*p, -3*u - 1 = p - 0*p. Let c be (u + (-2)\/4)*66. Suppose -s + i + 16 = 0, 3*s = s + 3*i + c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.64 times -50801\nAnswer: 32512.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0065 - -404.9935. Let j = o + -635. Which is smaller: j or 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 170*g**4\/3 - 91298*g**3\/3 + 4071402*g**2 + 11726786*g\/3 - 578888\/3 = 0.\nAnswer: -1, 4\/85, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*p - 8 + 60*p + 7 + 241*p + 1058*p + 2509*p.\nAnswer: 3347*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(22)\/sqrt(32) + 1*sqrt(11) + 5) + ((sqrt(110)*-1)\/sqrt(5))\/(-5*sqrt(8)\/sqrt(4)).\nAnswer: 27*sqrt(11)\/10 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 13 + 13 + 0*b**3 - 27 - b**2 + b**3. Let q(r) = 20*r**4 + 4*r**3 - 4*r**2 - 10. Let n(a) = q(a) - 4*v(a). Differentiate n(x) wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from ychbbc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288215 and 295.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 159*s - 15. Let f(l) = 80*l - 8. Calculate -11*f(b) + 6*j(b).\nAnswer: 74*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*p + 79 + p**2 - 239*p + 118*p + 2*p**2 in the form c*p**2 + m*p + w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 5:47 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72506 divided by 97?\nAnswer: 72506\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327744.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + 7 + -13)*(-3)\/2. Let c be ((-2)\/h - (-14)\/3) + -2. Factor -2*z + c + 1\/2*z**2.\nAnswer: (z - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5234 + -5184. Calculate the remainder when 107 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1890)\/(-672)*(-6 + 8) and 121\/2334?\nAnswer: 9336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 8 + 2. Let k(x) = 6*x + x**3 - 3 + 6*x**2 + 3. Determine k(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -343, -757, -1331, -2065, -2959?\nAnswer: -4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 324*i**3*v - 864650682*i**3 + 71231*v with respect to v.\nAnswer: 324*i**3 + 71231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -393397 from -39281473.\nAnswer: -38888076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 11*n**2 - 175*n - 1123. Determine u(-8).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124261 is divided by 903?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1817, 0.5, -5, -4\/5, 0.0276 in descending order.\nAnswer: 0.5, 0.0276, -1\/1817, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 10*b + 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104343 (base 6) in base 16?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10551937 is divided by 3517308?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2.1, 3, 68?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) -0.5 (c) -2 (d) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30252039 a multiple of 1764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/849559 + -107893489\/214088868. What is the common denominator of -145\/2016 and q?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18)*c*c\/(c*c**(-17)))**15 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzkz when four letters picked without replacement from {k: 3, z: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1882107 is divided by 133.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2))**(-50)\/(l**(-2\/3)\/l)**23*(l\/(l**2\/l))**(-11)*l*l**1*(l**(-2\/5)*l)\/l assuming l is positive.\nAnswer: l**(-1651\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/18*111120\/25002*4\/2*1?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 5:53 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 8:55 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 65*k + 20. Determine a(21).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1618 is divided by (112 - (9\/(-3) + 6)) + -1?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28557510 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(75) + 2 + sqrt(75) + sqrt(75)*2 + -1 + -4 + sqrt(75) + (sqrt(75) + -2*sqrt(75))*-4)**2.\nAnswer: -720*sqrt(3) + 6139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 165, 161, 153, 141, 125?\n\"Answer: -2*q**2 + 2*q + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195392\/63 + -3102. What is the common denominator of d and -44\/87?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/10549440 and 31\/310134?\nAnswer: 1339778880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:58 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41321\/40 greater than or equal to 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 40 = -16*m. Find the third derivative of m*a**2 - 21*a**2 + 20*a**2 + 11*a**2 + 15*a**5 wrt a.\nAnswer: 900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4008029 is divided by 215?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 7100 = -7*h. What are the prime factors of h?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52878659 + 4?\nAnswer: 52878662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 7*g + 5. Let i = 46 + -56. List the prime factors of s(i).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18287285 and 15?\nAnswer: 54861855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 6. Let u(r) = r + 1. Let i be u(-9). Let p be f(i). Suppose -2*b = 3*b - p. Is b at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1929 or -1?\nAnswer: 2\/1929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(-7 - 69*h - h + 56*h).\nAnswer: 42*h + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukkkhkkkuduhkkkkhh. Give prob of picking 2 u and 1 k.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/17 + 47\/119. Let k be (-154)\/(-60)*8\/58. Let d = -4\/87 - k. Which is the nearest to 0.1? (a) d (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 2*q**2 - 1026*q + 4*q**3 - 427*q - q**3.\nAnswer: 3*q**3 - q**2 - 1453*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*d + 4*r - 2 = 176*d, -4*d = -4*r - 16 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -16*x + 238. Is ((-343)\/x)\/(-7)*54 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2 - 6 + 3017920*m**2.\nAnswer: 3017920*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -297 + 369. Calculate the remainder when d is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 486 + -129. Let h = g + -297. Calculate the least common multiple of h and 50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - 2. Let v be 6 + -3 + (3 - 5). Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 + 2.1. Is -8 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 5*k**4\/4 - k**3 + 5*k**2\/2 - 4*k + 1. Let d(z) = z**3 - z**2 + z + 1. Let x(t) = 4*d(t) - v(t). What is x(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -46. Suppose 27 = x - 2*j, -4*x - 4*j + 168 = -0*x. What is the remainder when x is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2. Let c(z) = 145*z**2 - z. Calculate c(i(j)).\nAnswer: 7105*j**4 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -50*p**3 + 11*p**2 + 11*p. Let d(l) = -25*l**3 + 6*l**2 + 6*l. Let o(g) = g**3 + 95*g**2 - 95*g + 85. Let q be o(-96). Determine q*d(c) + 6*w(c).\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x - 12. Let f = x + 19. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28012 + -28004. What is the remainder when 1341 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (344143 + 210)*(0 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k + 35. Let z be i(-7). Suppose z = 3*f - 174 + 12. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -35966087.\nAnswer: 1438643.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -91574 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 689010 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) 61 (c) 5 (d) 0.1 (e) 4 (f) -39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -252?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9321620?\nAnswer: 2, 5, 7, 11, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 16. Let f be m(7). Suppose 9*w - 13*w + f = 0. What is the third smallest value in w, 0.1, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 9*h**2 - 4*h + 4. Let p be x(-4). Let i = -2 - -2. Put 10, p, i, 3 in descending order.\nAnswer: 10, p, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6822816\/16041740 - ((-1)\/(-5) - 1\/(-5))?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(171))\/sqrt(9) - sqrt(114)\/sqrt(24))*-6.\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*l = 240, -u - 2*u = 5*l - 248. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74689785*u**4 - 246165226?\nAnswer: 298759140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7023241 + 331?\nAnswer: 7023572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 52. Suppose c*n - 90 = 366. Calculate the remainder when n is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 1996713?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 637.3966616955 take away 0.3?\nAnswer: 637.0966616955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/20, 3 in increasing order.\nAnswer: -3, 3\/20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 15 = -5*x, 2*x + 2 = 5*p - 33. Let m be 23\/(-5) - 6\/(-10). Sort -3, m, x in descending order.\nAnswer: -3, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0469808 + -0.04792. What is o rounded to five dps?\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*y = -4*g + 181*y + 6, 0 = 4*g + 5*y - 30 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 3:41 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 57. Solve w*c + 0*c + 2*r = -7, -4*c = 5*r - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -4*i**2 + 7*i + 0 - 10*i**3 - 21\/2*i**4 - 49\/20*i**5. Determine g, given that v(g) = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9282*n**2. Let o(a) = -65*a**2. Give o(x(k)).\nAnswer: -5600109060*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwwnnn. Give prob of sequence nwnn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7489 + 142839 = 10*u. Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 26*q**3 + 2*q**2 - 3*q + 1. Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16898 and 310114.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -340527, -681059, -1021591?\n\"Answer: -340532*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13451699 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1014215 divided by 4.\nAnswer: -1014215\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 9*q + 273 = -101. Let d be (-18)\/(1\/((-2)\/2)). Let r = d + q. Sort r, -13, 2, -1 in increasing order.\nAnswer: -13, r, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**4 - 2*a**3 - 3*a**2 - 22. Let f(b) = b**2 + b. Give -6*f(r) - j(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.034 * -1918008.\nAnswer: -65212.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + y + 3*y)*(-2*y**2 - 5 + 5) + 12*y**3 - 25*y**3 - 26*y**3 to c*y**3 + j + s*y + v*y**2 and give c.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (1 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5066 - 0.5. Round o to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9 - (-104)\/(-12)*-1014 - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 30*q - 5. Let u be c(-5). Let n = u - -1267\/8. Let x = n + -173\/56. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2.3. Let j = 3.3 - v. Let h = j + -5.3. Which is the nearest to 2? (a) h (b) 1\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 7*u + 4. Let q(y) = -6*y**2 - 36*y + 20. Let l(o) = 11*c(o) - 2*q(o). Suppose -f + 5 = -0. Calculate l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1278 and 763323?\nAnswer: 325175598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 3*b**3 - 4*b**3 + 2*b**3 + 2*b**3 - 3*b**3 + 5*b**3 - b**3 - 2*b**3 + (-6*b**2 + 3*b**2 + 2*b**2)*(-2*b - 4 + 4) + 8*b**3 + 2*b**3 - 8*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**9\/2520 - n**5\/40 - n**4\/2 - 2*n. Let m(o) be the third derivative of r(o). What is the first derivative of m(d) wrt d?\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5 - 35. Let h be (-7)\/35 - (-8)\/p. Let g(j) = -3*j - 6. Let n(i) = 3*i + 7. Let y(x) = -6*g(x) - 5*n(x). Let l(c) = c. Give h*y(k) + 5*l(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814014 is divided by 259140?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23121400 (base 5) to base 6\nAnswer: 4241405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {j: 1, g: 1, a: 1, p: 1, f: 1, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169.97 - -170. Is 9 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -6, 6, -36\/5, 1, 0.01, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 8*z + 24. Let f be g(-8). Let c be f\/36 + (-1)\/((-3)\/(-23)). Which is bigger: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6. Suppose -5*a + 3*b + 23 = 0, a - b + 6*b + 1 = o. Find the second derivative of 4*n**4 - 2*n - 4*n - 2*n + n**a wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8257*c**2 - 3*c - 12048. Let y(p) = 5504*p**2 - 2*p - 8030. Let q(o) = 5*u(o) - 7*y(o). Find the first derivative of q(g) wrt g.\nAnswer: 5514*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t - 32. Let g = 18865 + -18849. What is r(g)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 31. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -370*z. Let w(a) be the third derivative of -a**4\/6 + 9*a**2 + 78. What is g(w(b))?\nAnswer: 1480*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.3, -5\/2, 5.\nAnswer: -10.3, -5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 - (-2 - (6 - 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-1 + (-10)\/(-2)). Let r = 12 + h. Let d = 5358 + -5323. Calculate the greatest common factor of d and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5\/3 - 96*x**4 + 2592*x**3 - 31104*x**2 + 139968*x = 0. Calculate x.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6427\/1610 - -42\/115. What is the common denominator of r and 107\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.06, -6, -2.2, 0.3, -332, -3?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3285072 and -49\/146?\nAnswer: 239810256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -107*b. Let v(g) = 638*g**2 + 36. Determine v(d(x)).\nAnswer: 7304462*x**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*a = 68, 0*n + 2*a + 22 = n. Suppose 57 - 5 = 2*w. Let u = w + n. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (-64 + 55) - (-2 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-2 + 12 - 12 - -12) + 10 + 67?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*m - 2*j, 4*m + 2*j + 8 = -2*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 12.5860371?\nAnswer: 9.5860371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.590859 grams?\nAnswer: 5590.859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -92, -380, -864, -1544, -2420, -3492?\n\"Answer: -98*k**2 + 6*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 1:45 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 31 - 2*o - 3 to s*o + d and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*m = 501*m + 16. Let n be (-4*5\/(-12))\/(m\/60). Calculate the greatest common divisor of 575 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by (-5 - -1)*4\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10597290 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -3. Let d = b - -1. Let h = -123\/2 - -59. What is the third biggest value in -1\/3, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6288212368.\nAnswer: 2, 239, 479, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-4*(sqrt(76) - (sqrt(76) - -1*sqrt(76))))\/sqrt(4) + -5)**2 + 3 + -5)*-2.\nAnswer: -664 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69291\/8 - -8661. What is the third smallest value in -1\/2, q, -3, 5\/4, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21304 = 13*g - 28108 - 29947. Does 44 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 161646, 324074, 486502, 648930?\n\"Answer: 162428*n - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 227.14224 months?\nAnswer: 0.01892852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5200 and 5860400.\nAnswer: 5860400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7125*u + 61220 = 66279 - 154684 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 283. Let y be p(0). Suppose -2*f = -3*b - y, 2*f + 2*b + 3*b - 243 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454154487 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y - 1. Let i(a) = 3*a**2 - 4*a + 4. Let p(s) = 4*f(s) + i(s). Suppose -6*t + t + 10 = 0. Let r(n) = -n**t - 3 + 3. Give p(r(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-8))\/(1\/(-4)). What is the third smallest value in -2\/15, r, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-483)\/1380*530\/(-1113)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u - 3 = 0. Suppose 4*l + u = z - 6, 3*z + l = 1. Let t(w) = 67*w**3 - 2*w**2 + 1. Let g be t(z). Round g to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45113*q = -45630*q - 11374 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, 132, 197, 262, 327, 392?\n\"Answer: 65*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.69544us in hours?\nAnswer: 0.0000002074154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.403 + -10.673. Do y and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 1970.\nAnswer: 9850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u**4 - 26*u**4 - u**4)*(-28 - 5 - 76) in the form p*u**3 + x*u**4 + k*u**2 + a + b*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-504)*90\/8*(-10)\/15*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1) + (0 - (6 - 16)). Solve 19*v = 15*v + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -9*k + 13*k + 2, -5*k + 15 = s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 7*l + 7. Let a be u(-7). Let o(g) = 1 + 3*g**2 - a - 4*g**2 - 5*g. Let w(j) = -j**3 + j - 5. Let m be w(0). Give o(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152283 is divided by 194?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (4 - 40 - -38).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 27496495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856*d - 1164*d - 28078 - 18 - 6244 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166778.\nAnswer: 2, 83389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7092573689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016513163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9339352 divided by 106129?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98765 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2158779538.\nAnswer: 2, 337, 3202937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -4*h - 31, 0 = 4*y - 4*h - 252 + 224 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 249216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 481 - 110. Let t = -831 - -1404. Let g = t - r. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*t + t + 2*j, t - 11 = -4*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Let i(h) = -2*h + h + 2*h**3 - 7*h**2 - 4*h**3 + h**c. What is the units digit of i(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (0 + sqrt(11))*-5).\nAnswer: 3 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 - 259\/(-35). Suppose x*j + h - 86 = 3*j, 0 = 4*h - 8. Let d = 5 + j. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, -0.45, 3\/1673?\nAnswer: 3\/1673","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/8)\/((-12)\/(-48)). Suppose 0 = c - j + 8. Put -5, c, 2 in decreasing order.\nAnswer: 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 214*h + 1317. Calculate o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by ((-9)\/4)\/(5\/(-40)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + x + 20 - 8, -g - x = 4. Let n be (1\/(-2))\/(g\/8). Let m = n - -5. Calculate the remainder when 17 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 214*j**2 + 178*j + 86 + 6*j**3 - 45*j**2 - 44*j**2 - 27*j**2 = 0. Calculate j.\nAnswer: -43\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2 - r - 3. Let u(c) = 4*c**2 - c - 2. Suppose 4*y - 413 = -125. Let s = y + -77. What is s*u(z) + 3*k(z)?\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**1))**17)**(-13))**(-3) assuming l is positive.\nAnswer: l**663","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.639804 rounded to 3 dps?\nAnswer: -4.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9458?\nAnswer: 2, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162513?\nAnswer: 3, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2 - 2. Suppose -3*u + 5*m + 93 = 0, 14 = -5*m - d. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-106)\/14 + 152\/266 - -6. Put -8, a, 46 in ascending order.\nAnswer: -8, a, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-7 + (-6)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7358.5479386 and 0.2.\nAnswer: -7358.3479386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-12)\/(-7))*78\/(-21)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50150019?\nAnswer: 3, 29, 277, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 44955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 = -15*d + 209 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from dbcdvrdgcbbvrr?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b*i**5 - 2*b*i - 2*i**5 + 67*i**2 wrt i.\nAnswer: 180*b*i**2 - 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.7281 and -47557.777.\nAnswer: -47555.0489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -35. Suppose -8*s - b = -12*s. Solve -3*z + 3*d = 27, s*z - 3*z - 2*d + 3 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 9*d**3 - 11*d**2 + 9*d + 10.\nAnswer: (d - 10)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/225 and ((-1395)\/(-1000))\/(-3*(5 + -4)).\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118932 divided by -17.\nAnswer: 6996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 10 - 5. Let u = -0.159 + 0.059. What is the nearest to u in -1\/5, 4\/7, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 98\/2 + 37 + -29. Solve 47 - a = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/15*2*(40590\/5016)\/123.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -5*f + 20, 4*f = -4 + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 2\/11 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (73 - 271 - 287 + 40)*(-3*l**2 + 3*l**2 - 7*l**2) in the form c*l**2 + b*l + h and give c.\nAnswer: 3115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -42*n. Let h(j) = -63*j. Let x(k) = 8*a(k) - 5*h(k). Let m(o) = -o. Give m(x(z)).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/251509 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*d + 109*d + 20 = 0. Solve 5 = 5*q, -3*n = -7*n + d*q - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 3*u - 5. Determine b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) 5 (c) -863\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3660 is divided by 3650.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 - 2 = 0. Suppose -4*k + p*k + d = -34, 5*d = -10. Is k a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.901076 take away -501.68?\nAnswer: 543.581076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 + 178 - 3*u**3 - 357.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 1 - 1 + 0*r**2 - r**2 + 0*r**2 + (3 + 2*r - 3)*(-r + r - 2*r) - 2*r + 2*r + 3*r**2 - 8*r**2 + 4*r + 5*r**2 + 2*r**2.\nAnswer: -6*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-18))\/(5\/20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31566860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1003*q**4 - 502*q**4 - 452*q**4 + 4*q**3 + (0*q - 4*q + 3*q)*(0*q - 2*q**3 + 0*q) to d + f*q + u*q**4 + i*q**3 + w*q**2 and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23865836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)\/m**(-15\/2))\/(m\/(m*m**(-2\/7)))**25 assuming m is positive.\nAnswer: m**(71\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -73, -21, 1, -25 in ascending order.\nAnswer: -73, -25, -21, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p - 9. Suppose -3*h = -r + 29, 0 = -h - 2*r - 14 - 5. Let b(q) = -5*q - 5. Calculate h*b(s) + 6*v(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2592000 + 31860*u**2 + 3\/4*u**4 - 1231200*u - 537\/2*u**3.\nAnswer: 3*(u - 120)**3*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1425 = -4*n, 2*h = -n - 0*h + 366. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-19)*c*c)**(-2\/83)\/((c**41\/c)\/(c\/(c\/(c*c\/c**(-44)*c)))))**(2\/17) assuming c is positive.\nAnswer: c**(1230\/1411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*j - 4 = -61, 0 = -5*i + 4*j + 71. Let b be (-108)\/(-20) + (-6)\/i. Solve 3*h = a - 5, -3*h - 11 = b*a + 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -284, -286, -288?\n\"Answer: -2*d - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/3 - 6*l**4 + 6*l**3 + 126*l**2 - 648 = 0 for l.\nAnswer: -6, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzluluulluu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -297\/5 + 59. Let l = 1 - -4. Let g = 0.1 - 0. Which is the closest to i? (a) 1\/8 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*p + 16, 3*p - 148 - 150 = f - 300 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n + n**3 + 106*n**2 - 201*n**2 + 103*n**2. Let p be x(-9). Solve p = -3*u - 0 - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 4*a + 1. Let g be m(3). Suppose 15 = 3*p + 3*i, -p - 4*i + 1 + g = 0. Let j be -2*1 - (-10)\/p. What is j rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(13)*-5.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 2 + n**2 + 0 + n + (0 + 1 - 2)*(-6*n**2 + 11*n**2 - 11*n**2) + 2 - 6*n**2 + 4*n**2 - n**2 to s*n + b*n**2 + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/71 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.537 + -4.463. Sort -1\/5, 4.7, 4, r.\nAnswer: r, -1\/5, 4, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 0.8 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 74*v**2 - 677*v + 178. What is f(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*b**5 - 65*b**4 + 65*b**4 + 2*b**5 - 2*b**5 + 2*b**5 + (4*b - 2*b - b)*(b - b + 2*b**4) - 3 + 3 + 2*b**5.\nAnswer: -51*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 5*n**4\/24 - 345*n**2. Let w(k) = 102*k**2. Calculate w(v(o)).\nAnswer: 2550*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -424 - -359. Is q < -452\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 3\/20*x**5 + 8*x + 0*x**4 + 0 + 0*x**3 - 5*x**2. What is the derivative of w(t) wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 352*w**6 + 387*w**2 wrt w?\nAnswer: 42240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + -3 + -2 + sqrt(1100)))**2.\nAnswer: -100*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 27. Solve c - 3*c = k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495045 is divided by 2943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -788 < -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100202102 - 10?\nAnswer: 10100202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -324 - -326. Which is the second smallest value? (a) 0.04 (b) u (c) -5\/6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 20 = -3*a. Let f be (a\/(-2))\/((-17)\/34). Let p be 19\/5 + 1\/f. Solve p*n + 0*n = 5*y + 10, -20 = -2*n - 5*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 57*f**2 + 274*f + 10. Is 45 a factor of h(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*q - 87, 6*b - 5*q - 55 = 4*b. Let g = 39 - -96. What is the highest common divisor of g and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2. Let y be -3 - ((-12)\/3 + -1). Let i = 52 - 29. Let v(l) = -i*l + 23*l + l**y. Give v(s(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -337178579503293381.00000041 - -337178583014142150. Let i = 3510848680 - u. Let j = 89 + i. What is j rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 = -16. Let m = x - -10. Let k = 8 - 2. Solve m*t + 7 = 5*d, -t - 4*d = -4*t - k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -53, 3\/4, -13, 34, -4 in decreasing order.\nAnswer: 34, 1, 3\/4, -4, -13, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607 - 2586*c - 230*c + 611 - 1220.\nAnswer: -2816*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -24*k + 29*k + 27, 0 = -2*t + k - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*x - 5*x = -174, -4*q = 3*x - 234. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -133650, -267277, -400908, -534543, -668182, -801825?\n\"Answer: -2*d**2 - 133621*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*c + 16 = -118*c, 3*s + 44 = -c. Let l be -2 + (10 + -2 - 2). Suppose -l*j - 18 = 38. Which is bigger: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1 = -6. Let m = 0.56 + -0.16. Let r = 97 + -96.5. Which is the third biggest value? (a) r (b) y (c) 3\/5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f. Let z(q) be the third derivative of 0 + 0*q**3 + 0*q - 1\/8*q**4 + 57*q**2. What is h(z(c))?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + o - 503 = -2*h, o + 2539 = 5*h. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4866\/11 + -9629836\/21769. Let p = 25767\/39580 + i. Let s = 657\/13 - 4359\/104. Find the common denominator of p and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b**2 - 3*b)*(2 + 1 - 2 - 7*b)*(-130*b**2 + 65*b**2 + 64*b**2).\nAnswer: -7*b**5 + b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-77)\/19) + 498\/2739?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 x when three letters picked without replacement from {x: 6, h: 2, r: 3, b: 2}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 + -502534?\nAnswer: -502565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 4*m**2 - 9*m - 11. Let i be t(-5). Let p = -51 + i. What is the highest common factor of 88 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 953401*a**3 + 0*a**2 - 953397*a**3 - 31*a**2.\nAnswer: 4*a**3 - 31*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 + 4.12. Suppose 4*x - 8 = -x + s, -14 = -3*x - 4*s. Suppose -3 + 7 = -x*g. Sort d, -1, g in increasing order.\nAnswer: g, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.018*12.3.\nAnswer: -0.2214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -199\/8. What is the biggest value in 1.2, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**2 + 132*f + 132. Give q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 226631 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from tmtmtm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3838 + 3827. Suppose 51 = 5*x - 54. Let w = h + x. Solve 0 = 4*s + w - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 19 = -6*z + 6, -14*g = -5*g + 13*z - 64 - 63 - 37 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 222?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10692491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7915 = -5*z, -3*z + z - 5*h = -3160. Suppose 329 = y - d - 2*d, 5*y + 5*d = z. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 11:35 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/109 or 1\/47?\nAnswer: 18\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 27. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 - 11*p**3 + 7*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 4 + k**2 - 1 - k. What is t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6 + 4. Solve 4*b = -b + c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 3\/4 (c) -5 (d) -11 (e) -12\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m - 5*m)*(m**2 - 2*m**2 + 2*m**2)*(-22*m - 3*m**2 + 6*m**2 + 8*m).\nAnswer: -21*m**5 + 98*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -38\/2829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 9)*(-5 + 2 + 2)*(0 - 1 + 2)*(23*f**2 - 21*f**2 - 17*f**2 + (f + 4*f - 6*f)*(-2 + 2 + 2*f) + 14*f**2 - 38 + 38 + 4*f**2 - 3*f**2 + 0*f**2).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 18. Let v = x + 9. Let k = v - 4. Solve -5*m - 24 = 3*j - k, 4*j = m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 48277, 0, -2 in decreasing order.\nAnswer: 48277, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 547902291 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -253, -1, 98\/5, 225?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lavakavklala. Give prob of picking 2 v and 1 k.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -850 (base 10) to base 8.\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58 + 65 - 128*i - 125 + i - 5 + 5 + 4*i + 0*i - 5*i - 2*i + i - i + (0*i + 2*i - 3*i)*(-2 + 0 + 0) - 3*i + 5*i + 0*i.\nAnswer: -126*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g*k**4 + 280*g*k**2 - 3*g*k + 50360*g - 4*k**3 - 1 wrt k.\nAnswer: 36*g*k**2 + 560*g - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/28)\/(120\/(-70))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 2*u**2 - 2*u. Let o(f) = -10*f + 9*f**2 + f + 10*f**3 - 14*f**3. Give 9*g(l) - 2*o(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5798029298 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5201.\nAnswer: 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 292 - 258. Suppose 6*z + f = 106. Calculate the least common multiple of 15 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0*m**2 - 9*m + m**2 - 2 + 10. Let l be t(6). Let i = 21 + l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 a, and 1 h when three letters picked without replacement from ekarheehekee.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 2*h**2 - 2*h**2 + (-6*h**3 + 3*h**3 + h**3)*(-2*h + 5*h - h) - 3*h**4 + 0*h**4 + 4*h**4 + (-35*h - 19*h**2 + 35*h)*(16*h - 16*h - 15*h**2).\nAnswer: 284*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.65 - 11. Let g = 0.4 + s. Let r = g - 0.35. Which is the closest to 2\/3? (a) -3\/7 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 0*i + 2*i + i + 344 - 340. Let n(w) = 3*w**2 + 3*w + 2. Let p be n(-2). List the prime factors of a(p).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -112 and -113 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*m**4*v**2 + 779*m**2*v**2 + 33*m*v**2 + 2*m*v + 6*v**2 + v + 15 wrt m.\nAnswer: -816*m**2*v**2 + 1558*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2265 rounded to one dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-2)\/((-30)\/(-25)). Suppose p = 2*y - 880, -3*p - r*y + 180 - 2820 = 0. Round p to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-12) + 16\/(-6). Let l be m\/6*2 - -5. Suppose 143 = i - l*w, 2*i + i + w = 377. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1510.1 to the nearest 10.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -91. Let s = 158\/3 - h. Which is the nearest to 1\/4? (a) -2\/3 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6766 - -6996. Calculate the least common multiple of 44 and z.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2145236775 to the nearest 100000.\nAnswer: 2145200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/((-4266)\/(-2844))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -597381450 to the nearest one million.\nAnswer: -597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -14.1. What is the closest to -2 in -2, -3, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4879*2\nAnswer: -9758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*t + 1669, 3*t = 6*j - 2*j - 3377. Suppose 0*i = -2*i + j. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 - 2515*o**4 + 10072*o**3 - 10076*o**2.\nAnswer: -o**2*(o - 2)**2*(o + 2519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.5 + -5.55. Let y = m - -0.05. What is the third smallest value in -0.5, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -315 - -317. Solve j + 3*t + 12 = 0, t = g*j - 2*t - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - r = 2*j - 5*r - 4, -j - 2*r = -1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-13)*(40\/(-14))\/(-10). Sort 2, q, -1\/5, 3, 5 in increasing order.\nAnswer: -1\/5, q, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 5 - (-92 - -131) - -16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 11}. Give prob of sequence bb.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 7*x**2 + 2*x**2 - 2 - 19*x**2 to p + v*x + o*x**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z = 12*z - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2. Let d(i) = -1196*i**2. What is d(n(x))?\nAnswer: -19136*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.24 and 3.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 156646?\nAnswer: -156641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, y: 7, b: 3, i: 4}. Give prob of sequence pbby.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3.1. Let g = 63.1 + -59. Let w = g - l. Which is the second biggest value? (a) -10 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:52 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.262 rounded to 1 decimal place?\nAnswer: 74.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g - 2*u = -25, -2*u + 7 = g. Which is the smallest value? (a) -5 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9959305 + -2460705. Round y to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347889.\nAnswer: 3, 115963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(1 + 8*p - 1).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b = -40*b + 281 + 295. Let o(p) be the first derivative of 1\/4*p**4 + b + 0*p**3 + 14*p + 0*p**2. What is the first derivative of o(g) wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 2*l**3 + 8*l**3 + 522*l - 523*l wrt l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2253065*m - 49567434. What is q(22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 191 - 189. Calculate the lowest common multiple of 280 and q.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*g = -q + 18, -4*q = 4*g - 56. Calculate the remainder when q is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118260?\nAnswer: 2, 5, 105913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 3:44 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(18\/(-16))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34723 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1343*g + 1314*g + 667 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2223434*n - 1617407 wrt n.\nAnswer: 2223434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-4 + -2*sqrt(405)) + -3*(sqrt(405) - (sqrt(405)*3 + -4)))**2 + -4)*-2.\nAnswer: -81024 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 56?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123125, -246239, -369355, -492473?\nAnswer: -615593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 36. Suppose -g + 11 + 12 = 4*h, -83 = -3*g - 5*h. Suppose -m = 2*c - g - 78, 0 = -2*m - c + 212. Calculate the highest common factor of n and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 - 21)\/(-2) - 7) + (-8)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 4.5?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 2, s: 1, i: 2, b: 2, q: 1}. What is prob of picking 1 q and 1 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 6. Suppose 13 = 4*p + 5*f - 6, 2*f = -5*p + 45. Let r(u) = -3 + 3 + 17 + 5*u. Calculate p*x(s) - 4*r(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5483 - -2.6883. Which is the closest to -0.3? (a) n (b) 3\/5 (c) 3 (d) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 42 + 282 = 0. Calculate the highest common divisor of 45 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1 + 4\/2). Suppose 0 = -4*y - z*b + 3*b + 637, 0 = -b + 1. Suppose -5*q - 1 - 10 = -i, 5*i - 4*q = y. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 + 508305*k + 1524960 = 0. Calculate k.\nAnswer: -3, 101664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 0*f**3 + 0*f**2 + 0 - 1\/6*f**4 - 3*f. Let n(l) = 2*l**2. Give g(n(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let h(m) = -4*m. Let x(n) = -21*n. Let l(o) = -18*h(o) + 2*x(o). Give p(l(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*l - 26 = 10, 3*c - 5*l + 27 = 0. What are the prime factors of (-98)\/(-5) + c\/15?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 401214*z**3 - 5*z - 14997 wrt z.\nAnswer: 2407284*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-3))\/5)\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 41, 77, 115, 155, 197?\n\"Answer: h**2 + 33*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -335 - -110230?\nAnswer: 106562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - o**2 + 4. Let j(b) = -6*b**3 + 3*b**2 - 12. What is 6*j(i) + 17*l(i)?\nAnswer: -2*i**3 + i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 divided by -42548.\nAnswer: -145\/42548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let m(y) = 972*y. Determine m(s(l)).\nAnswer: -972*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v + 161 - 14*v - 250 in the form r + f*v and give r.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102277761?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u. Suppose -3*w + u*w + 9 = 0. Suppose 20 + 22 = w*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2409682 and 1870.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 8, z: 6, g: 3}. Give prob of sequence zg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15191*w**2. Let a(f) = -386*f**2. Give a(q(y)).\nAnswer: -89075861666*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267440 is divided by 10507?\nAnswer: 4765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -592213515, -1184427029, -1776640543, -2368854057?\nAnswer: -2961067571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -879.133856 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r*((r\/r**(2\/25)*r)\/r)\/r)\/r*r)\/r)*r*(r*r**2)\/r assuming r is positive.\nAnswer: r**(102\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188 - -210. Calculate the greatest common divisor of 176 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116275 and 3250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 > -8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09132185 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8126020 divided by 2031505?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3872540 + 3872540 - 116*b + (-1 + 2 + 0)*(2*b + b - 5*b) - 3*b + 4*b + b.\nAnswer: -116*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4021 - -1505233?\nAnswer: 1501212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0)**(10\/3)*t\/t**(-3)*t\/(t**(-3)*t))\/(t**(1\/2)*(t**2\/t)\/t*t*t**5*t*t*t\/t**(-4\/7)) assuming t is positive.\nAnswer: t**(11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 4:14 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + z**2. Let f(n) = 3*n**3 - 4*n**2 - 26. Give f(k) + 4*y(k).\nAnswer: -5*k**3 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -65100000 to the nearest 1000000.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:55 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 + 801 + 1125 = -54*y for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1926*b*n**4 - 5*b - 194*n**2 wrt n.\nAnswer: -46224*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f**2 + f - 20. Let l be 6\/(-33) + 6 + 320\/(-55). Determine w(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 6:10 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2600 and 13239980.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-10)\/(-135)*1*(-4)\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 22*d**2 - 42*d - 17. Let r be m(-20). What is the common denominator of (3 + r\/(-2))*4\/10 and -3\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than 10794342?\nAnswer: 10794353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = -6. Suppose 5*s - 2*z - c = -7*z, 2*z + 6 = 0. Suppose 0 = -s*o - 4*g + 680, -4*g + 849 = o + 4*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 1529.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -0 + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 772375907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/10 + 29\/((-435)\/(-22)). Let d = 9 - 12. Sort d, f, -5 in decreasing order.\nAnswer: f, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*s + 13 = 3*t + 825*s, 49 = -5*t - 3*s + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 495 + 490*a**2 - 1975\/2*a + 5\/2*a**3.\nAnswer: 5*(a - 1)**2*(a + 198)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 63*c**2 + 31 - 14 - 405*c**2 to p*c + i + f*c**2 and give f.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 9:53 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4412 = -o + 429. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.01.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-246228)\/50694)\/(11\/(-7))\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 17*z**2 - 2*z + 90. What is t(-17)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/((-48)\/(-360)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**4 + 432*b**3*w - 238*b - 4*w wrt b.\nAnswer: -36*b**2 + 2592*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*z = 140*z + 2752. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6)\/((-2)\/(-4)). Let q = 97\/38 + -603\/266. Sort 0.5, q, m, 2\/9 in descending order.\nAnswer: m, 0.5, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 334 (base 8) to base 16\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/(-20)*4*(-55 - -1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -4 + (-7 - (2 + -4) - -15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -287.7.\nAnswer: -2013.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3595431, -2, -1\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 + 29 + 20*j**3 + 24 - 2 - 15*j**3.\nAnswer: -4*j**3 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-8))\/(4\/(-32)) + 0. Factor 4\/9 + k*s + 14\/9*s**2.\nAnswer: 2*(s + 1)*(7*s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32852.\nAnswer: 2, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9824172 - 9824208.899064. Let d = f + 36.9. Round d to 5 decimal places.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 - -11)\/((-2)\/2). Suppose 0 = 4*r + 5*k - 23, -4*k - 7 = -2*r + 11. Solve 3*d + r = 8*d - 4*u, y*u = -d - 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 2*g. Let f be (2 + g)*5*4\/4. Suppose 5*m = 3*r + 5 - 0, -3*m + 37 = f*r. Solve r*x - x = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 11195\nAnswer: -5597.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(3 + (sqrt(1100) + 3*sqrt(1100) + 2 - (sqrt(1100) + sqrt(1100)*3 + sqrt(1100) + -3 + sqrt(1100))**2)).\nAnswer: -79213 + 800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + c - 5*c + 2*c - 4*c + 3*c + (-4*c + 3*c - 2*c)*(4 - 1 - 4) + c - c - c to b + x*c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6)*(1 + 5). What is the third derivative of 3*r**3 - t*r**2 + 15*r**4 - 16*r**4 - 4 + 3*r**3 wrt r?\nAnswer: -24*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 98 = -5*f, 3*f - 3*l - 75 = -12. What is the smallest common multiple of 62 and f?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712122?\nAnswer: 2, 856061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8405831479?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*2\/(-9)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 divided by 25?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 - 6\/((-2952)\/(-501)). Is 1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11718458?\nAnswer: 2, 1759, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooccooo. Give prob of sequence occo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 2, n: 2, j: 6}. What is prob of sequence nln?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 4*r**2 - r + 5. Let z(d) = -d**3 + 3*d**2 + d + 1. Let q be z(3). Let p = 0 - q. Is 9 a factor of k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) -20 (c) -3\/8 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) -0.04 (c) -22 (d) -2\/13 (e) 0 (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5039307*j**2 - 2. Let y(l) = -4*l. Give y(x(s)).\nAnswer: -20157228*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:26 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uonnunrxuouuuuuuuno. Give prob of sequence ro.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042545721 rounded to six decimal places?\nAnswer: 0.004255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 25.57443 kilograms?\nAnswer: 0.02557443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6094361?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(818 - 840) + -1*25\/1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 39 - 790 = -5*u, -2*u - 6 = 0. List the prime factors of z.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-133)\/(-35))*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 - -0.23. Let o be (-1450)\/4500 + 4\/18. What is the third biggest value in o, -0.4, 1, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5596689817 - -5596689717.00000047. Let g = 100 + v. Round g to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000056603127 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-6)\/168)\/((-1037)\/(-119))\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 8*l - 6215. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/47 + 125\/376. Let h = 2.5 + -0.5. Which is the second biggest value? (a) r (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Let w(v) = -v**3 + 8*v**2 + 10*v - 6. Let p be w(9). Let g be p\/3*0\/3. Put 3, g, o in increasing order.\nAnswer: g, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 13 + 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1731*g**3 - 21*g - 21. Let q(j) = 173*j**3 + 2*j + 2. Give 21*q(m) + 2*y(m).\nAnswer: 171*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*q + 0*q + q)*(2*q + 2*q - 2*q) - 7*q + 0*q**2 + 88*q**2 + 6*q)*(-48*q + 78*q - 65*q) to the form u*q**3 + b*q + k*q**2 + w and give u.\nAnswer: -3150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*s - 28*s - 18*s)*(s**2 - 1 + 1).\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h)**(2\/19)*h*(h**(1\/3)\/h)\/h*h**(1\/5) assuming h is positive.\nAnswer: h**(-193\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 1 + 1)*(m - 2*m - m) - 2*m**4 - 3*m**4 + 3*m**4 + 0*m**2 + 51*m**4 - 6*m**2 - 52*m**4.\nAnswer: -5*m**4 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14667867.\nAnswer: 3, 19, 31, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20518 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 6316.\nAnswer: -5\/3158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -263040 divided by 30\nAnswer: -8768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 110, 281, 426, 533, 590, 585, 506?\n\"Answer: -2*w**3 - w**2 + 188*w - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(396))\/(-5*sqrt(40)\/sqrt(10)*-1).\nAnswer: 54*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 52. Suppose 24*i - 20*i = -4*o + 66000016, t*i = 3*o + 65999988. Round i to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001905 to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4 + 220*v**3 + 3132*v**2 + 2916*v = 0. Calculate v.\nAnswer: -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 1, w: 2, c: 1, d: 8, l: 1}. Give prob of sequence cd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3423512 + -42?\nAnswer: -3423554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1683 + 3241294165\nAnswer: 3241292482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 937978*q. Let b(g) = -35*g + 2. Give b(j(p)).\nAnswer: -32829230*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 109 + 0*l + 14\/5*l**2 - 1\/15*l**3. Factor p(b).\nAnswer: -b*(b - 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 765 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/4 + f**3 + 2*f**2 - 4*f + 3. Let k(l) = -l**2 - 8*l - 2. Let a be k(-7). Let v be 3\/6*(1 + a). Determine z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2422322 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/2, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k**2 + 13*k + 28. What is w(-4)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10200110002 (base 3) to base 4.\nAnswer: -101230301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 11 = 5*i, -377*i - 5*x - 5 = -372*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 12\/(-10) - -1 - 549\/(-45)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*k + 4, 4*k = 3*l - 8 + 23. Let q be (-1 + k)*2086\/28. Suppose -59 = -2*s + 4*c - 5*c, -q = -5*s - 4*c. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208494 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -36*x - 26. Let d(h) = h**3 + 31*h**2 - 30*h + 62. Let t be d(-32). List the prime factors of b(t).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3428 - -3881. Calculate the highest common divisor of w and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1216090, -2432183, -3648274, -4864363, -6080450, -7296535?\n\"Answer: g**2 - 1216096*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Factor v**3\/6 + 44*v**2 + 5895*v\/2 + 17161\/3.\nAnswer: (v + 2)*(v + 131)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*x = -85, x - 4*x + 294 = 4*t. Suppose -t = -m - 4*m. Let r(p) = -p**3 - p**2 + 29. What is the remainder when r(0) is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 34 + 20)*(-4*m + 5*m + 7*m)*(-m - m + m).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 12. Let a(p) = 2*p**3 - 12. Calculate -2*a(x) - 3*m(x).\nAnswer: -x**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312042?\nAnswer: 2, 3, 131, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 + -4 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1580.3 + -1585. What is the second biggest value in 2, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-7) - (-10)\/(-6). Which is the biggest value? (a) -1\/4 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuuuuuuzzuuuuuuuu. Give prob of picking 2 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in 2\/7, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.128, 0.5, 0.2, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341940?\nAnswer: 2, 3, 5, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16576560 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*b - 707*b - 1 - 710*b + 1 + 2099*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1316*j = -1311*j - 15, 3*f + 3*j = 9. Which is smaller: f or 1\/11206?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197 + -193. Solve 0 = 4*p + 3*t + 7, t + 0 + 5 = -h*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3912 + 3916. Let h = -2 - -4. Suppose -6*s = -h*s - 12. Solve 0 = -i + 5 - 1, -16 = -s*b - j*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2.3 (b) 3 (c) -12\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:20 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -11\/6*j**3 + 10*j + 0*j**4 + 0*j**5 + 0*j**2 - 1\/30*j**6 + 0. Find the second derivative of m(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-13)\/((d*d**5*d)\/(d*d\/d**(1\/7))) assuming d is positive.\nAnswer: d**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 2, e: 3, u: 4, p: 1, g: 2}. What is prob of picking 1 e and 1 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2491 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 4*z**2 - 2*z**2)*(5*z**2 - 4*z**2 - 4*z**2) + (0 + 0 + 2*z)*(-37*z**3 + 1572*z + 2 - 1572*z).\nAnswer: -68*z**4 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgr when three letters picked without replacement from iappipaapapgriparp.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*z - 153, 0 = 4*z - 6*z. Calculate the remainder when u is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1308 + -34. What is the smallest common multiple of 5 and v?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1 - 299*d - 1 - 2. Let x(r) = -2*r. Let m be x(-2). Let n be b(m). Round n to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.034 - -0.034. Let t = 36.745 + q. Round t to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(17) + (sqrt(17) - (0 + sqrt(17) - sqrt(17))*5) - (sqrt(187) + (-3*sqrt(187) + sqrt(187) + sqrt(187))*-5 - sqrt(187))\/sqrt(11))**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23*(-26)\/(-4784))\/((-2)\/(-944)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a**2 + 548*a + 122. Let k be h(39). Solve 45*j = 5*j + k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7384 to two dps.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 4*j**3 - j - 3*j**3 - 4*j**2 - 4. What is the lowest common multiple of 8 and g(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/80 and 59\/2520.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5108850 and -49\/8910?\nAnswer: 505776150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.636*1\nAnswer: -0.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*(-1 + (-27)\/9). Solve -4*i - 4*w - j = 18, -5*i - 4*w = 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134\/(-871) - (128\/13 + -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1498*a + 538*a - 445*a - 1263*a to the form k*a + i and give k.\nAnswer: -2668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3148, -3102, -3056, -3010, -2964, -2918?\nAnswer: -2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/7 or -2?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 + -4.078?\nAnswer: -382.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 6*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 6:52 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + 27. Calculate the remainder when 22 is divided by a\/10 - (-2)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4280 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 3\/5 (b) -0.1 (c) -2 (d) -0.024 (e) -1 (f) -10940\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j - 250*j = 43*j + 2582 - 24156 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 - -63?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 712\/5*c**2 - 4\/5*c**3 + 32144\/5 - 1876*c = 0. What is c?\nAnswer: 7, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3, -1, 2, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 88 = -5*u - 0*u, 5*p = 4*u + 203. Let o = p + -31. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -17*s**3 - 5*s**2 - 28*s. Let o(b) = b**3 - 2*b**2 + 6*b. Determine -d(y) - 5*o(y).\nAnswer: 12*y**3 + 15*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172688 - 172692. Let s = -4 - -7. Let k = -1.3 + 9.3. Sort k, q, s in descending order.\nAnswer: k, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240797283 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 400.0793546 to 1 dp.\nAnswer: 400.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -28934, 1 in descending order.\nAnswer: 1, -5, -28934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -623*a*l**2 - 440*a*l + 2*a + 88*l**3 - 68*l - 1 wrt l?\nAnswer: -1246*a + 528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 3*m + 5. Let z(t) = t + 1. Calculate -u(j) + 3*z(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32278, -79335, -126392, -173449?\nAnswer: -220506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 258*k**2 - 2738*k + 5838.\nAnswer: 2*(k - 7)*(k - 3)*(k + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*j**4 - 108 - 32 - 27 + 27 - 68*j**4 wrt j?\nAnswer: -244*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**3 - 5*p**2 + 5*p + 2. Let n(s) = -5*s**3 - 5*s**2 + 6*s + 2. Let z(j) = 4*f(j) - 3*n(j). Determine z(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b + 5. Let s(z) = 5*z + 3. Let v(x) = -5*s(x) + 3*w(x). Let u(j) be the third derivative of -j**4\/4 + 5*j**3\/6 + j**2 - 49516*j. What is v(u(o))?\nAnswer: -12*o + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1981401.\nAnswer: 3, 17, 38851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggmm when four letters picked without replacement from {g: 2, m: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 1 (c) -3 (d) 2\/9 (e) 856 (f) 2.527\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -33?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*v - 437 = 0, 3*v + 1347 = 6*d - 3*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkknwkkwn. What is prob of picking 2 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51604 is divided by 1112.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-72)\/20)\/((-96)\/84320) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*n + 2*a**3 - 4*a**2*n - 6669*a**2 - 2*a*n - 7*a + 290 wrt a.\nAnswer: -12*a*n + 12*a - 8*n - 13338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11168*c**2 + 2*c - 4*c**3 + c**3 - 4*c + 11170*c**2 - 3 + 4*c**3. Determine h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 6 - 6 + 2*g + 2*g**2 - 2*g + (268 - 268 + 75*g)*(-6*g + 11*g + 9*g).\nAnswer: 1054*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 13*b**2 + 2*b - 6. Let p be q(13). Suppose 4*z - p = 0, 2*i - 53 = i - 3*z. What is the remainder when i is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/12*7\/(-2)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**2 + 6*f. Let n(x) = 15*x**2 + 14*x. Let b(d) = -9*i(d) + 4*n(d). Let l(o) = -2*o**2 + 2*o. What is -3*b(z) + 2*l(z)?\nAnswer: 5*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.5437129 + -18\nAnswer: -19.5437129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 20*v**2 - 2*v. Let j be l(-3). Suppose 11*f - 36*f + 775 = 0. Calculate the greatest common divisor of j and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281404 * 1.9.\nAnswer: -534667.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-1 + 2298159\/(-42)). Let l = g + -54767. Let i = l - -99\/2. Sort i, -0.2, -1\/4 in ascending order.\nAnswer: -1\/4, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -87 and -0.0043?\nAnswer: 0.3741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 10*h**3\/3 + 2*h**2 + 3. Find c such that w(c) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -164?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -15025?\nAnswer: -15000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4681709112?\nAnswer: 2, 3, 8467, 23039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (12 - 22 - 17)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252 - -345. Do i and 598 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**4 - 5*m**3 + 130*m**2 - 120*m = 0.\nAnswer: -6, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2598613 - 7751264?\nAnswer: -7751263.7401387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 663648 and 1452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -369\/2 + 158. Let m = -541 - -541. What is the common denominator of (195\/110)\/(6\/8) + m and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -75*(4\/6 + -1). What is the greatest common divisor of n and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x*x*x\/(x*x**(7\/3))*x*x)*((x*x*x**(-2\/15)*x*x)\/x)\/x)**(-1\/2) assuming x is positive.\nAnswer: x**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273348 = 6040*j - 462327 - 281912 + 184067 for j.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3804 + -3803.79. Put i, 0.4, -1 in descending order.\nAnswer: 0.4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 + -525?\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 90236981 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2031*0.9\nAnswer: -0.18279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. What is the lowest common multiple of (5\/15*-2)\/((-6)\/45) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27968.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -262615 (base 7) to base 12\nAnswer: -24444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 + -2. Let s = d - -5.5. Let z = s - 4. Which is the nearest to 0? (a) z (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 2*a**2 - 38*a - 16. Let v be o(-7). Solve 0 = u + x - 2, u - v*x + 16 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 697.\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1404, -1.\nAnswer: -1404, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3421 = 4*r + 4*u - 725, -3*r - 2*u = 2019. Is -671 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -160 + 110. Let o = 51 + t. Differentiate -1 - o + 3*m**2 + 10 - 1 with respect to m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 0 + 26\/3*l**4 - 238*l**2 + 34\/3*l**3 - 2\/3*l**5 - 528*l = 0.\nAnswer: -3, 0, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2271, -1337, -403, 531, 1465, 2399?\n\"Answer: 934*o - 3205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 792888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 538, 871, 1246?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42, -2\/5, 0.3, -1.62?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27\/56 + -6\/7. Which is the nearest to 0.1? (a) -1\/3 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 16*m**2. Suppose -43 + 43 = 113*o. Let u(k) be the second derivative of 2\/3*k**3 + o + 0*k**2 - 30*k. What is u(i(s))?\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 11*g - 11*g - 4*g as z + a*g and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28464309.55967 and -0.3?\nAnswer: 28464309.85967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 53. Let r be c(-13). Calculate the greatest common factor of 98 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19097777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 2, -7, 107853, -2 in ascending order.\nAnswer: -7, -5, -2, 2, 3, 107853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-20))**(-2\/33)*(u*u**(-5\/3)\/u*u)\/(u\/(u**19*u)) assuming u is positive.\nAnswer: u**(215\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 149293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 424 - -46335?\nAnswer: 46761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 19*n**2 + 21*n**2 - 2*n - 15*n**2 + 33*n**2 to o + b*n + q*n**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5112\/(-48) + 2\/4 + 0. Let g = i - -109. Let k(c) = -c - 2. Let n be k(-4). Solve -g = -d - n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110001010011011100 (base 2) to base 12.\nAnswer: -3b7b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/49 - 88\/245. Let s = -21.5 - -10.5. Which is the second smallest value? (a) 4 (b) 1\/2 (c) r (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*c - 3620 = -5*j, -4*c = -4*j + 3620. List the prime factors of j.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 15*s**3 - 2*s + 3. What is j(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 713 - 716. Put -5, 2.6, 2, i in descending order.\nAnswer: 2.6, 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 7*w**2 - 5*w - 8. Let i be 2 - (-8)\/(16\/(-4)) - 4. Let l be n(i). Calculate the greatest common divisor of l and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 times -19043.81?\nAnswer: 1828205.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 10, -7, -46, -113, -214?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16591, 10, 0.4, 1\/4, -0.19, -3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 275659272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22\/15 (b) 2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1010, 4003, 8994, 15983, 24970?\n\"Answer: 999*v**2 - 4*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69*144444.\nAnswer: 9966636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -23440d?\nAnswer: -23440d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 25\/2, -1.6, 0.1?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + 0 + 3 - (sqrt(500) + 1 + sqrt(500) + sqrt(500) + -5)**2.\nAnswer: -4513 + 250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, a: 1, p: 1, s: 1}. Give prob of picking 1 s, 1 p, and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-2)\/10)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 26. Let n = -11 + c. Suppose -4*h = n, 0 = v + 2*v - 4*h - 1257. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 23*h + 9. Give w(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 bigger than 520592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u + 4. Calculate p(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.84273 hours to microseconds.\nAnswer: 10233828000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.006, -11, -2\/31?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*x + 8. Let y be (-3)\/3 - 3*-1. Suppose 2*i + 8 = 4*i. Solve x*d - i - y = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 7*t**2 + 12 + t**3 + 3*t**2 - 87*t + 86*t + 2*t**3 as b*t**3 + h*t**2 + q*t + z and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 138*p - 3*p**5 - 6*p**4 + 53*p - 96 + 51*p**3 + 102*p**2 = 0. What is p?\nAnswer: -4, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218.6 + -39.6. Let x = 181 - c. What is the biggest value in 0.4, -0.4, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*x + 68*x - 120 = 0. Calculate the highest common factor of x and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000418799899 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 222, 920, 2084, 3714, 5810, 8372?\n\"Answer: 233*z**2 - z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*i - 121*i - 65176 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0)*300\/180 - 2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 15. Let y be (-62)\/14 + 3\/7. Let t = z + y. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41915 + -22282. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3946473)\/(-119727) + -1*33.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 6, y: 4, x: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 147 in 21, -0.23, -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**3 - 13*y**2 + 6. Give g(-7).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-282)\/(-24) + 7\/(-14)*10\/(-4). Solve -2 = -k + 3*y, v*k + 6 = 12*k - y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 696 = 4*w - 6*p, -4*w + 2*p + 686 = 0. Let k be 356\/14 + 132\/(-2079)*-9. What is the highest common divisor of w and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/7, 2\/17, -175.16?\nAnswer: -175.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = s + 2, -5*s - 10 = 9*o - 11*o. Let t = 20 - s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, p: 1, h: 4}. Give prob of picking 1 h and 1 f.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233 (base 4) to base 6.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 292*t - 897. What are the prime factors of n(10)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3216423 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1050659 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-90) - (138\/10)\/(-3). Solve -4 = -w*d + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -8. Let r = p - -18. Suppose 7*n - 90 = r*n. What is the lowest common multiple of 20 and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 885788 and 9.\nAnswer: 7972092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 2. Let p(b) = 4*b + 1. Let v(f) = -3 + 1 - 2*f - 5*f. Let y(i) = -5*p(i) - 3*v(i). Let w be -7 - -2 - (1 + -1). Give w*y(j) + 3*a(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3384 - -0.1452.\nAnswer: -3383.8548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 103*c + 7. Let m(o) = -7. Calculate -2*j(s) - 2*m(s).\nAnswer: 2*s**2 - 206*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(650) - (sqrt(2600) + sqrt(2600)*3))\/((sqrt(96)\/(sqrt(16)\/sqrt(4)))\/((sqrt(84) + sqrt(84)*1 + sqrt(84))\/sqrt(7))).\nAnswer: -180*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/36901358 and 33\/93958?\nAnswer: 4022248022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 13*h**2 - 1089*h + 8804. Give l(8).\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -8 + 2. Let q be (-1)\/(((-477)\/(-3))\/s). Let f be (-14)\/(-18) - 0 - 4\/(-18). Which is smaller: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345980 divided by 34598?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1170637 to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7940747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*c + j - 1, 5*j = -4*c - 15. Suppose c = 5*h - 102 - 103. Calculate the remainder when h is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -3\/8*n**4 - 1\/64*n**8 - 292*n**2 - 131\/160*n**6 + 0 + 27\/140*n**7 - 2*n**3 + 7\/5*n**5 + 0*n. Let d(o) = 0. What is o?\nAnswer: -2\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.008 and -8.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2610)\/25 - (-4)\/10. Let t = 171 + -275. Is t at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -31*n + 371. Determine s(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + -1047?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104510 (base 8) to base 15.\nAnswer: -a62e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 223866 and 11840024?\nAnswer: 106560216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 3) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326\/8 - (-1 - 6\/(-8)) is divided by (-6 + 3)\/(1\/(-7))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by -15\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 less than or equal to 328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -12\/7 (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -3*n**2\/2 - 2*n - 544. Give i(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8 - 16109\/1448 - 195\/(-18))*-48.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45\/385138 or -1?\nAnswer: -45\/385138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, t: 3}. What is prob of sequence tgtt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9 + 17 - 34 + 2*b. Let j = -73\/7 + 1206\/119. What is the common denominator of d(0) and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -0.5. Let r be (1 - 0) + (-50)\/35. Suppose 2*s + 0 = -4*d + 4, d - 4 = -2*s. What is the smallest value in a, d, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203502*b - 101770*b - 101729*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 19477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from tmtttmtttmtt.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*18637)\/((-1)\/(-16 - -17)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j + 1. Let u(o) = -7*o**3 - 2*o**2 - 7*o - 6. Let w = -14 - -20. Let d(b) = w*t(b) + u(b). Solve d(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -1\/5*w**5 + 0 + 0*w**4 - 15*w**2 + 0*w + 0*w**3. Let x(f) = -3*f**2. Determine j(x(h)).\nAnswer: -108*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*-1*sqrt(833) + (sqrt(612) - (2*sqrt(612) + sqrt(612) + sqrt(612) + 2)) + -2 + 1.\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61100 is divided by 64.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22221 is divided by 1681.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + f - 70 = 5, -5*f = 0. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25094916 by -126.\nAnswer: 199166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 8:47 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2 + 2 + r - r + 2*r + (0 + 1 - 2)*(-r - 2 + 2) + (-5 - 1 - 5)*(-2*r + 2*r + 2*r))*(2*r + 0 + 0).\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -1 + 2)*-1. Let m = a + 9. Let q(z) = -z**3 - z + 27. What is the units digit of q(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17735870 or -70943485\/4?\nAnswer: -70943485\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4686073 by 1673.\nAnswer: 2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8323617541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:00 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 39 = -1. Let j be 32\/14 - (21 + k). Is j less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040861 to 4 decimal places.\nAnswer: -0.0409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w + 28. Let z be l(12). Let r = z - -28. What is the highest common factor of 24 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 3*o**2 + 5*o - 4. Let r be m(4). Suppose -22 + 69 = -5*t + d, r = -t + 3*d - 1. What is the units digit of (-202)\/(-6) + t\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -271*v**7\/210 - 49*v**5\/5 + 782*v**2. Find the third derivative of w(y) wrt y.\nAnswer: -6504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5618, 5599, 5582, 5567, 5554, 5543?\nAnswer: 5534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7922215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00545869518 rounded to six dps?\nAnswer: -0.005459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - j - 4*j)*(25 - 78 + 28) + 8389 - 8389 + 50*j.\nAnswer: 75*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102211 (base 3) in base 8?\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*z + 30266 = 24044 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 27821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -484\nAnswer: 75\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12591395 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1522, 1514, 1502, 1486, 1466?\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2. Let l(f) = -f + 4. Let y(k) be the second derivative of k**2\/2 + 3*k. Let d(g) = l(g) - 4*y(g). Give d(i(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10566831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2182 is divided by 2178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64d - 13?\nAnswer: 63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 433*h**2 - 536*h + 324220.\nAnswer: -(h - 26)*(h + 29)*(h + 430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6704544 divided by 25396?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 2, e: 3, y: 5}. Give prob of picking 1 e and 1 y.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7743778774 to 3 dps.\nAnswer: 0.774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 3)*(-3 - 4 + 6) + 102 + 65 + 19)*(2*l - 2 + 2).\nAnswer: 370*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3998*f + 304105. Determine c(-76).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g - 15 = 0, 4*h = 2*g - 406. Let n = -92 - h. Calculate the remainder when 64 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.958 and 0.038309.\nAnswer: -0.919691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-144)\/(3\/18*-4). Let h be -10 + 7 + (-728)\/(-2). Let m = h - n. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, and 1 l when three letters picked without replacement from {h: 1, l: 1, e: 4, v: 1, r: 5, a: 1}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -20 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.146 or 15\/848?\nAnswer: 0.146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -148, -120, -80, -28, 36?\n\"Answer: 6*h**2 + 10*h - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c - 4. Let o be 16*3 - (5 + -2). Suppose 5*u + o = 3*m, -23 + 6 = 2*u - m. Does 16 divide z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3571*o + 525042. Calculate j(-147).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73864?\nAnswer: 2, 7, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540642?\nAnswer: 2, 3, 90107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -29. What is the units digit of g\/(-1)*(-3)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430489 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4\/2 - 1737*p**3\/8 + 208635*p**2\/8 + 1095975*p\/4 - 70125 = 0 for p.\nAnswer: -220, -10, 1\/4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, a: 6, u: 4, y: 6}. What is prob of sequence yu?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 152\/40 + (180\/25 - 7). Solve -2*b - g*p + 5 = -19, -4*b - p = -20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 - 10*f - 58. Let d(o) = -2*o**2 - 5*o - 29. Let x(r) = -5*d(r) + 2*p(r). What is the first derivative of x(i) wrt i?\nAnswer: 4*i + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*m + 6919568 = 6917756 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - 190. Let p = -37 - a. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*x = 3, -3*l - 6 = 4*x - 1. Let z be l\/(-6) + 21\/18. Let s(n) = -n**2 - n - 1. Let w(d) = 4*d**2 + 5*d + 7. Give z*w(a) + 5*s(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 - 42 + 42.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**5\/20 + j**4\/3 - j**3\/6 + j**2\/2 + 3*j + 21. What is i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 8*t**2 + 6*t - 4. Let y be d(-7). Suppose -y*o - 51 = -21. Let l be (-4)\/o*6 - 2. What is the third smallest value in -1\/5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 144 = -3*o - a, 4*a - 24 = 0. Solve o*s = 10*s - 34 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a + 0 - 5*a**2 + 18*a - 5*a + 1 to h + m*a + d*a**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -26268*d + 52539. Let c be g(2). Factor 2\/5*l**c + 6\/5*l - 6\/5*l**2 - 2\/5.\nAnswer: 2*(l - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67425.48 rounded to the nearest one thousand?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2*1\/(-108)) - -1. Let m = 96 + j. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/(-28)*(-200)\/6. Suppose -q = -k + 12. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(15)\/sqrt(3) + (2 + sqrt(180) - sqrt(180))**2 + (sqrt(10)\/sqrt(2) + 5)**2 + 6*(sqrt(125))**2.\nAnswer: 11*sqrt(5) + 785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 0.2, -28, 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109 - 100) + -2 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from {c: 1, u: 2, h: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818*m**3 - 497*m**3 + 7*m + 2*m - 324*m**3.\nAnswer: -3*m**3 + 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*t - 1128037 - 1664987 = 0. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555274925?\nAnswer: 5, 22210997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6152 is divided by 2266.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(sqrt(25) + sqrt(50)\/sqrt(2)))\/((sqrt(45)*1)\/sqrt(9)) + -2 + sqrt(405) + 0 + -2.\nAnswer: -4 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txaxxgxxtfftfx. What is prob of picking 2 f?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = 2*a, 2*t + 5 = -3*t - 5*a. Sort t, 4, 21 in decreasing order.\nAnswer: 21, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -248, -977, -2192, -3893, -6080, -8753, -11912?\n\"Answer: -243*n**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (91 - 40) + -37 + (-1 - -8)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 7*s + 13. Let p(i) = -i**2 + 4*i + 7. Let g(z) = -40*z + 2. Let t be g(1). Let y = 41 + t. Let o(f) = y*u(f) - 5*p(f). What is o(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 + 30*l**3 - 7 - 11*l**3 - 10*l**3 - 29*l**3.\nAnswer: -29*l**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 330\/770*(-1)\/(-3). Let q = -3307\/5 - -658. What is the biggest value in -5, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4083\/5 smaller than -817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(16) + sqrt(16)*2 - sqrt(16)) + 1*sqrt(64)\/sqrt(4))\/(4*(sqrt(48)\/(-1*sqrt(6)) + sqrt(16)\/(sqrt(32) - sqrt(2)))).\nAnswer: 33*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648896057?\nAnswer: 269, 1277, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 609 and 267525?\nAnswer: 1872675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 561 = -8*a. Which is smaller: a or -186?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 2\/5, 25464\/11 in descending order.\nAnswer: 25464\/11, 2\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 171, -0.01, 0.18?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 7. Let y = 15 + t. Which is the second biggest value? (a) 12 (b) y (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 493 or 72143?\nAnswer: 493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -6*m. Let f be ((-14975)\/15 - -3)\/(m\/(-174)). Let o = -1406 - f. What is o rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 196258768.\nAnswer: 981293840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132 + 1 - (-4 - (-49 + 64))) + -6 + 2?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a day in hours?\nAnswer: 828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 24*v - 8. Let u be v*-4*7\/11536. Is 1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + 109 - (163 + -63).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-12) + 15 + 1969\/(-132).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = u - 13, -8*r = 62*u - 58*u - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (304 - 318) + (3 - -70) + 6.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20110020 (base 3) in base 9?\nAnswer: -6406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (10 + (-4 - (17 - 9 - 4))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117958972\/3 or -39319658?\nAnswer: -117958972\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - 12*g**4 + 2*g - 9*g**2 - 10*g**2 + 17*g**2 + 1 in the form p*g**4 + x*g**2 + s + i*g + y*g**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1620)*2)\/(sqrt(54)\/sqrt(24)).\nAnswer: 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 3) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 252278\nAnswer: 1\/126139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 11*v**2 - 3*v + 4. Let o be l(-11). Let b = o + -10. Let x = 184 + b. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k**2 - 239156*k + 239156*k + 476*k**2.\nAnswer: 442*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 29*x + 155 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/(-14))*(2 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/(-185))\/(2*(-6)\/(-40))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -24*h**3 - 4*h**2 - 3*h - 2. Let q be z(-2). What is the common denominator of -3\/10 and 4\/3*(-1674)\/q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.830683 minutes?\nAnswer: 409.84098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/34)\/(972\/5508)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137770 + -14?\nAnswer: -140004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 862.45 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*(f*f*f*f*((f\/f**8)\/f*f)\/f*f*f*f)\/f*f assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 1:53 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/(((-49)\/7)\/(-7)) - -3968.\nAnswer: 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4 + 49*t**3 - 128*t**2 - 4144*t + 4224 = 0 for t.\nAnswer: -8, 1, 12, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = 147. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1615 + 1977. What is the third biggest value in r, 2, 1\/5, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g + 6. Let p be v(-3). Let y be p\/30 - (-57)\/5. Suppose 2*x - 2*d = -2*x + y, 0 = -3*x - 4*d + 20. Solve 9 = -w + x*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -173319064.\nAnswer: 173319049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9191651 - -291651. Round d to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 12) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33392 divided by -16696?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 95855365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + 1 + sqrt(700) + sqrt(700) + (sqrt(700) + 1 + sqrt(700) + sqrt(700))**2 + 5 + (((sqrt(700) + -1)*4 - sqrt(700)) + sqrt(700))**2.\nAnswer: -240*sqrt(7) + 17522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/105)\/(14*11\/9163).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 23*f - 5. Let t(i) = -4*i - 2. Let v be t(-1). What is the tens digit of a(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.503 and 0.117.\nAnswer: 2.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(32) + sqrt(8) - (sqrt(8) - -2*sqrt(56)\/sqrt(7)))\/(((sqrt(40) + sqrt(160)\/sqrt(4))*-2)\/(sqrt(10) - -2*sqrt(10)*2)))**2.\nAnswer: 1225\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let n(b) be the third derivative of -283*b**4\/2 - 4*b**2 - 469. Determine n(j(o)).\nAnswer: -6792*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -25 (b) -53 (c) 0 (d) 7\/9 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*g)*(-2 - 4 + 2) - 2*g + 8*g - 2*g - 3 + 2 - 2 + 2*g.\nAnswer: 14*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -5*b**5\/24 - 7*b**4\/12 + 7*b**3\/6 + 5*b. Let q(f) be the second derivative of g(f). Is q(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*b**3 - 113*b**3 + 78*b**3 - 10*b**3 - 67*b**3 - 98*b**3.\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*h - 15, -4*h + 3*m + 9 = -h. Let v be (-6)\/8*h\/(-6). Which is the third biggest value? (a) v (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.13 and -10.\nAnswer: -8.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {d: 4, c: 3, y: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562869.\nAnswer: 3, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = 0, 5*f - l + 51 = 208. Differentiate f*x + 49 + 136*x - 320*x wrt x.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -57*p - 12*p**3 + 1 + 33*p + 24*p. Calculate j(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*a + 2 - 7)*(-591 + 1168 + 16825*a - 577) to z*a**2 + n*a + f and give n.\nAnswer: -33650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*o*v - 578*k*o + 147*k*v - 5*k with respect to v.\nAnswer: -k*o + 147*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, d: 2, v: 1, g: 1, u: 2, s: 1}. What is prob of picking 1 f, 1 g, and 1 s?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5275411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7648.747 days?\nAnswer: 183569.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/120 + 3*w**5\/20 - 7*w**4\/24 + 13*w**3\/6 + 10*w**2. Let u be r(-10). Is 3 - (0 - 1) - u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**4 + 6 + 4*i**4 - 11*i**4 + (i**2 + i**2 + 0*i**2)*(4*i - i**2 - 4*i).\nAnswer: -4*i**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (208\/(-10))\/(((-192)\/(-150))\/2*(-1150)\/(-1840))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -7549, -11 in descending order.\nAnswer: 103, -11, -7549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399804 - 799607 + 15*n + 399803.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + 30*b**3 + 1 - 4*b**3 - 27*b**3 + 2*b**2 to v + j*b**3 + l*b**4 + d*b**2 + f*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(385\/10010)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -0.1693386\nAnswer: 0.20320632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3739 (base 12) to base 3.\nAnswer: 22120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 55\/4 (b) 0.5 (c) -0.01 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-240)*-21*-3*14\/147\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7788818, -5, 1.\nAnswer: -5, -1, 1, 7788818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + (sqrt(320) + sqrt(320) + 0 + sqrt(320) - sqrt(320)) + sqrt(320) + -4 + 4*-1*sqrt(320) + 3)*2*3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 143, 208, 273?\n\"Answer: 65*d + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 37*v + 146. Give o(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w + 4. Let v be (3\/(-2))\/(1\/w). What are the prime factors of 29\/v + 1\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*s**2 - 3 - 135*s**2 + 3 as j + w*s**2 + c*s and give w.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -479, -709, -921, -1109, -1267, -1389, -1469?\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.87. Let d = w - 0.87. Let u = 1 + -1.5. Which is the second biggest value? (a) u (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - r**3 + 3*r**3)*(6*r - r - 2*r) - 3*r**4 + 2*r**4 - r**4 + 1 + r**4 + 3 - 2*r**4 - 2*r**2.\nAnswer: 12*r**4 - 2*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -33?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**21\/k**(-25\/3) assuming k is positive.\nAnswer: k**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*b + 42. Let u(a) = 5*a - 7. Let x(q) = -14*q + 22. Let r(c) = 11*u(c) + 4*x(c). Let f be r(b). Solve m - 3*d = -6*d + 12, -d = -2*m + f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11687 and 12701?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -143? (a) 6 (b) 5 (c) -0.4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-264))\/(15552\/(-373248))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -19, 6, -5, 6784, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/96 and -91\/200?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38178079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -190, -2\/377, 859, -5?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 3*f - 7*f, 9 = -4*f - 3*y. Suppose 4*z - 68 = z + 4*s, 3*z + 2*s - 56 = f. Calculate the least common multiple of z and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 3}. Give prob of picking 1 p and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1493714 (base 11) to base 8.\nAnswer: -11571105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362560.\nAnswer: 2, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4580061431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 5:01 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**13)\/(p*p*p**3\/p))\/(p**(-7\/2))**(-6) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7907 (base 13) in base 12?\nAnswer: 994b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 27*b**2 - 6*b - 23. Let o(n) = -25*n**2 + 7*n + 22. Let g(c) = -4*o(c) - 3*t(c). Does 17 divide g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1646690.698 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1863695 milliseconds in minutes?\nAnswer: 0.000019772825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 2*f**2 - 2*f - 1. Suppose i = 4*i + 6. Let w be j(i). Suppose -w*g + 39 = -0*g. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 12:44 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*s + 387 = 369, 0 = 2*s - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*a - 0 + 4, -a = 4*h - 2. Suppose 4*n + 8 = 0, a*t + n + 10 = -2*t. Calculate the remainder when (-1 - 4\/t)*67 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26180657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43281 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-22) + -41 - -52?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 321371, -574 in increasing order.\nAnswer: -574, -1, 321371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*a = -0*r + 623264, -2*r - 249308 = 2*a. Let i = 198651 + r. What is i rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108400?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -2, -85, -1360, 85 in increasing order.\nAnswer: -1360, -85, -5, -2, 1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = -4*i + 321. Let j be i + -8 + 7 + -3. What is j rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1350 and 86\/1215.\nAnswer: 12150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**4\/3 - 2*r**3\/3 + 573*r**2. Let g(p) = 2*p**3 + p**2 - 2*p + 1. Let u be g(-2). List the prime factors of c(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2041441 - -1?\nAnswer: -2041440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**4\/42 + 29*t**3\/21 - 78*t**2\/7 + 4*t + 29. What is r in u(r) = 0?\nAnswer: 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -14*v**5 + 1634*v**4 - 2766*v**3 + 686*v**2 + 460*v = 0.\nAnswer: -2\/7, 0, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*m = -647*m - 7032 - 14818 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2 + 1\/3*y - 1\/3*y**3 - 1 = 0. Calculate y.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(-1)\/w)*w\/w**(-14)*(w\/(w*w\/(w\/(w\/w**(-3\/5)*w))))**41)**(-26))**(-12) assuming w is positive.\nAnswer: w**(-136656\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(143) + sqrt(143))\/sqrt(11))**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42662 and 412759.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhauuhahuuaua. What is prob of sequence ua?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 194684?\nAnswer: 973420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*f + 2015, 4*q - 1580 = -2*f + 6*f. Suppose 54*y = 58*y + q. Let g = 120 + y. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218 - -65. Let y = 274 + t. Suppose -19 = -10*q + y. Is 11 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 355, 683, 1011, 1339?\n\"Answer: 328*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17435963.\nAnswer: 17435963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 318 * 3\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-2)*(-77)\/((-55055)\/(-1170)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*-4*sqrt(9)\/(6*(sqrt(3) + (sqrt(3) - sqrt(3)*4)))*-1)**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061 = 323*i - 70*i - 3844 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c**3 + 3*c**3 - 4*c**3)*(1 + 3 - 5 - 11*c) + 4 - 2*c**4 - 4)*(2 + 0 - 1).\nAnswer: 9*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**3*w**2 + 6019*t**3*w + t**3 + t**2 - 54*t + 19*w**2 - 489 wrt w?\nAnswer: 4*t**3*w + 6019*t**3 + 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than -543.2976?\nAnswer: -543.8976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.8 and -1816541.9?\nAnswer: 1816544.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52288 and 7540480.\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 108*c**3 + 1194*c**2 + 3420*c - 4725.\nAnswer: 3*(c - 1)*(c + 7)*(c + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v. Let m(s) = 80*s**2. Give m(w(d)).\nAnswer: 11520*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 5:36 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = d. Let w be d\/(2\/(-2))*-3. Suppose 0*z + 36 = w*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7215*w**2 + 1575*w**3 - 7215*w**2 + 8489 - 8489.\nAnswer: 1575*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 6602?\nAnswer: 46214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/((n\/n**27*n)\/n)*n))**16)**(2\/101))**(2\/49))**(-2\/19) assuming n is positive.\nAnswer: n**(3456\/94031)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -106, -0.9, -10?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 2)*(9 + 4 + 0)*(-3*f**2 + 3*f + 0*f - 4*f) + 2*f**2 + 0*f**2 - 15*f - f**2 in the form l*f**2 + g + t*f and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/4 - 33*z**3\/2 + 423*z**2\/4 - 165*z + 75.\nAnswer: 3*(z - 10)**2*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 115. Is j a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147110159 to the nearest integer?\nAnswer: 12129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 1. Let d be i(-1). Suppose -3*a = 12, -4*a = -p - 0*p + 20. Solve d = 2*k + p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -5*r**6\/6 + 171*r**5 - 24365*r**4\/2 + 308370*r**3 + 48735*r**2\/2 - 925965*r + 3664. Factor i(k).\nAnswer: -5*(k - 57)**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3 - 49991*b**2 - 366671*b wrt b.\nAnswer: -18*b - 99982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15814876 - 0.1582. Round n to 6 dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28412249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*v - 1. Suppose -4*w - v + 13 = 0. Let z be ((-11)\/(-10) + (-6)\/(-15))*22. Calculate the highest common factor of w and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Which is the closest to q? (a) 1\/5 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + b - 25. Determine g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/63 or -13676.9?\nAnswer: -13676.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -0.06673.\nAnswer: -0.06673, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*u**3 + 114591*j**3*u - 3*j**2*u**3 + 2*j**2*u**2 + 5*j**2 + 2*u**3 - 10 wrt j.\nAnswer: 12*u**3 + 687546*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**7\/70 + 17*l**5\/60 + 9*l**2\/2 + 7. Let g(w) be the second derivative of i(w). Find the third derivative of g(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134452087?\nAnswer: 7, 11, 149, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5577 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1533 + -26?\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96796177*s**4 + 647567*s**2 + 67*s - 2.\nAnswer: 2323108248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-21)\/9 + 3). Let b(q) = -5*q - 7. Is b(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 722.722678 and -9.\nAnswer: 713.722678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 152476936 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 3.8\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 306861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 22*m**3 - 186*m**2 + 298*m - 136.\nAnswer: 2*(m - 4)*(m - 1)**2*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4091052*n - 8*n**3 - 2046581*n - 2044471*n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -457, -921, -1389, -1861, -2337, -2817, -3301?\n\"Answer: -2*c**2 - 458*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 3. Suppose 0 = -t - 3, 3*m + 2*t = -31 - 29. Give g(m).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/45705 and -21\/20.\nAnswer: 182820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9847801 to the power of 1\/2, to the nearest integer?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -960, -1648, -2336, -3024, -3712?\nAnswer: -4400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(66)\/sqrt(6) + sqrt(11)) + sqrt(30)\/(sqrt(6)*-1 + sqrt(6) + sqrt(6)) - (sqrt(720) + sqrt(720) + -1*sqrt(720) + 2 + 2*sqrt(720) + 0)**2.\nAnswer: -6484 - 285*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 258\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) -0.2 (c) -1 (d) -104015 (e) -198\/7 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137604258 a multiple of 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(-20)*(212 + 0). Is 11 a factor of w\/25 + 10\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-2\/7)*g)\/g)**(-1\/13)*(g**0)**(11\/5))\/((g**(2\/3)\/g)**14\/((g\/(g\/(g\/g**5)))\/g**(-4))) assuming g is positive.\nAnswer: g**(1259\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (sqrt(66)\/sqrt(3))\/sqrt(2)*-4)*2.\nAnswer: -8*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -147, -268, -351, -378, -331?\n\"Answer: 3*p**3 + p**2 - 145*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 2*r = 1044. Suppose -9*b - r = -321. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4757728 is divided by 1280.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*s**3 - 92529715*s**2 - 13218530*s.\nAnswer: -5*s*(s + 2643706)*(7*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(((-2)\/(-4))\/((-4)\/8)). Suppose -3*s = -5*j - 615, n*s + 2*j - 545 - 449 = 0. What is the remainder when s is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (52\/3)\/((-48)\/504). Let x = a + 199. Solve w - x + 15 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 721 + -333. List the prime factors of u.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5718995 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 7*i - 2*i, 21 = a - 3*i. Solve -p + a*p = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 0.1, -0.092, 2\/19 in descending order.\nAnswer: 2\/15, 2\/19, 0.1, -0.092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 5*t + 5. Let y = -20 - -16. Let l(w) be the first derivative of 7*w**2 - 14*w + 8 + 5\/3*w**3. What is y*l(u) - 11*c(u)?\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:05 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.1. Let z(k) = -k**2 + 35*k - 230. Let q be z(26). Which is the closest to -0.2? (a) 0.1 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2588 - 1129. Is 1459 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6018 (base 9) to base 5\nAnswer: -120031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11905587 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/4 (b) -214 (c) 153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 41 - 41 + 8*u - 10*u. Let q(p) = -5*p - 8. Calculate q(g(t)).\nAnswer: 10*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/121 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 - 7*x**5 + 2*x**5 + 0*x**5 + 3*x**5 - 2*x**5 + (-x**4 - 4*x**4 + 6*x**4)*(-3*x + 0*x + x).\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/((a\/(a**3\/a*a)*a)\/a*a))\/a)\/a*a*a)**12\/(a**(-2))**(29\/5) assuming a is positive.\nAnswer: a**(238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11677 - 11676. Let z(m) = -26*m + 10. Calculate z(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 + 43612*m\/3 + 475501636\/3.\nAnswer: (m + 21806)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*l*m**2 - l*m + 2*l*z**4 - 6627*l*z**3 - l + m**2*z**2 - 2*m**2*z + 32*m*z wrt z?\nAnswer: 24*l*z**2 - 39762*l*z + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 + f**2 - 5*f**2)*(-f + f - 2*f**2) + (451*f - 493*f - 271*f)*(4*f - 4*f - 3*f**3) as l*f**2 + a*f + g*f**4 + w + p*f**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 4501\/4*b**4 + 0*b**2 + b - 2\/3*b**3 - 14. Let w be m(1). What is w rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -111. Calculate the highest common divisor of 30 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 14*t**2 + 14*t + 21. What is the remainder when 53 is divided by i(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klc when three letters picked without replacement from kdccllkdcccchckckk.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-7)\/(-2))*-6. Solve l*z - 2*w - 8 + 29 = 0, z - w = -8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 12*g - 4*g. Let z = 2 + 0. Suppose -z*l = 3*f - 0*f - g, 0 = l - 5*f - 17. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 309366 and 3213.\nAnswer: 2165562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 32*q + 85. Let r be d(29). Let h(c) = -69*c - 42. Is 12 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4 - 261853485*m**3 + m**2 - 2080*m + 78?\nAnswer: 24*m - 1571120910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/13 + 6*l**3\/13 + 716*l**2\/13 + 2640*l\/13 = 0. Calculate l.\nAnswer: -15, -4, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106895047459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.07692 (b) -1\/3 (c) 0.236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2.3 (c) 1\/35 (d) 4\/2631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23973 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4804, 4743, 4682, 4621, 4560?\nAnswer: 4499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (3 + sqrt(72)) - 4*3*sqrt(2))**2 + -1.\nAnswer: 102*sqrt(2) + 586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54849 divided by -389?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 - 252*q**4 + 199986*q**3 - 199476*q**2 - 199983*q + 199728 = 0 for q.\nAnswer: -304, -1, 1, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12395 and 5991743?\nAnswer: 2479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.5 + 11. Let p = a - 2.507. Round p to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 51 = -6*k. Let n = -13 - k. Suppose 0 = n*o - 35 - 9. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 2, -1729 = -5*f + g. Let b = 3807\/11 - f. Sort 1\/6, 5, -2\/9, b in descending order.\nAnswer: 5, 1\/6, b, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/1)\/(74\/(3404\/(-1449)))*1\/8.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*r - 125 = 0, -3*r + 87 = -w - 30. Calculate the least common multiple of (w\/(-14))\/(6\/21) and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q - 24. Let f = -13733 - -13734. Give c(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/14 and (-1)\/3 + (-1715)\/300?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 16 - 7) + -4 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5281.4628 to the nearest ten.\nAnswer: -5280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4468*r*t**3 + 2*r*t**2 - 2*r*t - 27*r - 4*t**3 + 5*t**2 - 5565 wrt t.\nAnswer: 26808*r*t + 4*r - 24*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 + 165. Let z(c) = 4*c**3 - c**2. Let t be z(1). Put h, t, 1 in descending order.\nAnswer: h, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 196 = -4*b, 3*b = 3*x + 43 + 83. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and (-4)\/(16\/(-132)) + 3 + -4.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5134 + 7431. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45612 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.3394846 weeks?\nAnswer: 3422.004768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 1. Let m be n(-8). Let t = 7 + m. Calculate the highest common factor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -25*w - 3*w - w. Let i(h) = -4*h**2. Calculate i(a(k)).\nAnswer: -3364*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) -240\/41 (c) -0.144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2 = -o - 0, -86*o + 1812*s + 283 = 1807*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3342176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012100 - -12?\nAnswer: -1012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4748 divide 97572605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241 by 155.\nAnswer: 241\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 6*w + 5612. Let v = 339437\/10 - 31130. Let n = w + v. Find the common denominator of n and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 s, 1 b, and 1 l when four letters picked without replacement from bbsslawbbsslbloaobo?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9798 and 217686?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16142, 1, -6132 in increasing order.\nAnswer: -6132, 1, 16142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64007.\nAnswer: 64007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 7:52 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-5) - 2\/5. Let i = -72 + 74. Solve i*z = g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 34 = 13*b. What is the greatest common divisor of b and 718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 27 = -4*c, -14*h + 4*c + 161 - 35 = 2*c for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 10*r + 41. What is the smallest common multiple of m(-7) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -6 + 18. Let j(l) = l**3 - 7*l + 7*l**c - 4*l**3. Let a(p) = 2*p**3 - 3*p. What is 5*a(r) - 2*j(r)?\nAnswer: 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25467 and 3416.\nAnswer: 86995272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 24*d**2. Let q(n) = -49192*n. What is a(q(k))?\nAnswer: 58076468736*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26200 and 65500.\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -998000 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h. Let p(m) = -m + 3. Let y(g) = 2*g - 8. Let r(j) = -8*p(j) - 3*y(j). Give t(r(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368619 and 462289?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + d + 4. Let p be y(3). Let x be (-3)\/2*p - 1. Suppose 0*n = x*n - 112. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 3*a + c - 3*c, 2*c = a - 156. Suppose -b - 10 = 5*x, x + 13 = 5*b + 5*x. Suppose -b*p + 0*p - a = -5*v, -3*p + 60 = 2*v. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 24*o + 83. Let v(k) = -24*k - 84. Let g(q) = 6*p(q) + 5*v(q). Let u be g(-3). Solve 2*f = -0*f - u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q + 66 = 3*y, 6 = -3*y. Solve 0 = 4*r + 5*t - q, 3*r = -t - 6 + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76499*a**5 + 3*a**4*o**2 - a**3*o + 51887*a**2 - 2*o**2 wrt a?\nAnswer: 4589940*a**2 + 72*a*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.17 and 37.\nAnswer: -43.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.147 and -0.00816.\nAnswer: -0.15516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, o: 12, f: 1, n: 2}. What is prob of sequence gof?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007575549 rounded to five dps?\nAnswer: -0.00758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z + 2 + 5 - 6)*(-2 + 0 - 1).\nAnswer: -24*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 480*g - 482*g + 3, 3*g + 3 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 74*w - 10064. Determine b(135).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/313? (a) -11 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -5 + sqrt(5) + (sqrt(360)\/sqrt(8))**2)*3 - (3 + -2 + sqrt(5) - sqrt(5) - (sqrt(5)*1 + -3)**2).\nAnswer: 3*sqrt(5) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + w = -10, 2*w + 2 = -3*u. Put 1, -29, u in descending order.\nAnswer: u, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6506 - -10800. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = v - 25. Calculate the least common multiple of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2955031, -2955006, -2954981, -2954956, -2954931, -2954906?\nAnswer: -2954881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 1. Let k be i(-1). Let y be (-3)\/k + (-5)\/(-2). Let n(d) be the first derivative of -d**2 + 1. Determine n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -793 + 857. What is the highest common divisor of 32 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 867.\nAnswer: 1\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10101\/11544)\/(5\/(-8)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, v: 1, o: 1, r: 1, h: 1}. What is prob of picking 1 k and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 4*i - 2*i)*(-34 + 6 - 11) + 0 + 0 + i - 3 + 3 - 2*i + (2 - 1 + 0)*(2*i + 0*i - 3*i).\nAnswer: 115*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 1\/12, 2\/45, -4\/3, -1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 137*z**3 - 18*z**2 + z - 36. Let u(f) = -138*f**3 + 15*f**2 - f + 34. Calculate 5*i(w) + 6*u(w).\nAnswer: -143*w**3 - w + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*n - 59. Calculate the remainder when 36 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 24*h**2. Let j(l) = l. Suppose 0 = -3*b - 4*o + 68, o + 29 = 4*b - 30. Let y(k) = -b*k + 14*k + 1 - 1. Let n(t) = -4*j(t) - y(t). Calculate w(n(r)).\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239 (base 13) in base 4?\nAnswer: -220113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 - 30 = 0. Let b = a + -3. What is the highest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 9*q - 126. Calculate a(-13).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*461\nAnswer: -230.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x + 1. Let b(w) = 4*w**3 - 11*w**2 - 16*w + 14. Let f(o) = -b(o) + 3*d(o). Let i be f(12). Which is smaller: i or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11464268 and 0.4.\nAnswer: -4585707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 2:19 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 10 + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) + 2*sqrt(136))*4 - (sqrt(136) - (sqrt(136) - -2*sqrt(136)*-6)))*-6)\/((sqrt(1152) - sqrt(1152)*-1*1) + -3*sqrt(1152)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/13)*z*z*z**0 assuming z is positive.\nAnswer: z**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjkxkpz. Give prob of picking 1 k, 1 z, 1 s, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b**(1\/3)\/b))\/b)*b\/(b\/b**(5\/2)))\/((b**(-4)\/b)\/((b\/((b*b\/(b\/b**(-7)))\/b))\/b)))\/(b**(-11)*b**(-2\/9))**47 assuming b is positive.\nAnswer: b**(9761\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/14)\/(12\/(-280)). Suppose l = 5*r - 5*s, 2*s - 5*s = r. Solve 0 = -4*d + r + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(15\/9) + (-16)\/(-40). Let s(c) = 3*c + 13. Let m(d) = d + 3. Let h(r) = -9*m(r) + 2*s(r). Calculate h(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0281 + 0.0281. What is the nearest to 3 in -0.4, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3009, -12032, -27069, -48120?\n\"Answer: -3007*f**2 - 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(13\/3)*u\/(u\/(u\/(u\/u**(-4\/5))*u*u)))\/(u**20)**40 assuming u is positive.\nAnswer: u**(-12032\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 0 - 2*r - 2*r - 154.\nAnswer: -2*r - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3 + -4*sqrt(125))**2 + -4).\nAnswer: -120*sqrt(5) + 2005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 - (-41)\/(-4). Is 4\/x - (-668)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvz when three letters picked without replacement from bhzbvzsv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (354\/(-9735))\/((-1)\/(-5))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -1, 11574, -4, 5, 0 in ascending order.\nAnswer: -4, -1, 0, 3, 5, 8, 11574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 901.729ug in kilograms?\nAnswer: 0.000000901729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-3 - -4)*16*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 7*b - 6. Let p be z(-1). Suppose -p*d = -3413 - 1055. Suppose -d = -11*i + 527. What are the prime factors of i?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 50 = 44. Suppose 15 = -3*h, -5*l - 5*h + f - 12 = 0. Suppose -22*z = -l*z. Solve z = 6*t - 2*t + 2*k + 8, 0 = k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1961\/8 + -255. Let q = -9689\/222 + 16\/111. Find the common denominator of w and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.0473 - 0.0473. Let v(m) = -3*m**2 - 2*m**2 - 1 + 6*m**2 - 2*m + 0*m. Let c be v(2). Sort t, -3, c, -4 in increasing order.\nAnswer: -4, -3, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/9 - 2*o**4\/3 - 52*o**3\/3 + 484*o**2\/9 - 54*o + 18.\nAnswer: 2*(o - 9)*(o - 1)**3*(o + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 129*p**2 + 597*p + 1604. Let c(q) = -10*q**3 - 646*q**2 + 2984*q + 8040. Let d(s) = -5*c(s) + 24*u(s). Factor d(b).\nAnswer: 2*(b - 6)*(b + 2)*(b + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 5015?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -268 + 635 - 366. Let d(b) = 3*b - 12. Give d(w) + 3*z(w).\nAnswer: 3*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*c - 3)*(3 + 1 - 5) - 4*c + 0*c + 6*c - 2*c - 9*c - c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16139191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 - 426 = 5*g. Round g to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 + 47*f**2 - 39*f**2 + 6*f**2.\nAnswer: 34*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g - 5. Determine z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -154*o**5 - 603*o**2?\nAnswer: -9240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -114320 (base 5) to base 16\nAnswer: -10ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1564)\/(-221) + (-1)\/(1 + 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)*m**(1\/2))\/(m*m*m**(-2\/5)*m*m)**42)\/((m**(-1))**(-42)*m**(2\/7)*m**(-2)) assuming m is positive.\nAnswer: m**(-6702\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Suppose 0 = -11*p + 9*p + 12. Suppose 0 = m + 2*h - 1, 20 = -p*h + h. Solve 5*s - 20 = v, -5*s = -r - 2*s - m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 11:41 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b - 4. Is ((-3 - 156) + 2)\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 138642.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5463990 by 43365.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -28*r**2 + 3*r + 4. Let q be p(5). Let o be (1 - q\/(-6))*-2. Let i be o*4*340\/(-3). Round i to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 11.652.\nAnswer: 11.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 2763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.63 in -0.5, -2\/13, -500, -2\/5, -3, 7\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 + 8*p**2 - 5*p - 5. Let l be i(5). Let x be (-8)\/(-28) - l\/(-35). Let y be ((-2)\/(-5))\/(((-2)\/345)\/x). What is y rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/48*4*(12\/(-10))\/((-20)\/(-20))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 230\/3 - 76. Suppose -3*d + 5*z + 616 = d, -3*d - 3*z = -462. Let x be (d\/(-21) + 8)*-3. What is the smallest value in i, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40856128147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 2:23 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**23*(o**0)**(-2\/21)*(o**(-2\/9))**25*(o*(o**(-8\/7)*o)\/o*o*o)\/o**4 assuming o is positive.\nAnswer: o**(-485\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 2*s - 30. Give t(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2\/4 - 21697101*a\/4 - 27121395 = 0.\nAnswer: -5, 7232372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1, -5*r + 2*f = -2*r - 10. Solve -5*h + j - 22 = 2*j, -r*j = 4*h + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*l**3 + 55*l**3 - 1917*l**2 - 3 + 2*l + 1917*l**2 to u*l + a + q*l**2 + j*l**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.55. Let s = 0.09 + d. Let l = s - 0.04. Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1458.107*-275\nAnswer: -400979.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 1. Let c(k) be the first derivative of -121*k**2\/2 - 3*k + 26. Let m(l) = -c(l) + 3*t(l). Let w(r) = 2*r**2. What is w(m(y))?\nAnswer: 30752*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-12) + (-3)\/(-18). Suppose 0*k - 4*k = 4. Let r be (-1)\/(-4) + k\/12. What is the third smallest value in h, r, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -4\/7 (b) 4\/3013 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05293889 take away 5943.4?\nAnswer: -5943.34706111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -5 - (11 - 31 - -32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11*1*(-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q + 272 = 4*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**1)**(-18))**(10\/7))**(-7\/2) assuming v is positive.\nAnswer: v**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 3, -5\/4, 19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1053) + -2*sqrt(1053))*-2)**2 + sqrt(1053)*1 + sqrt(1053) + 1).\nAnswer: 108*sqrt(13) + 25278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 1, z: 2, o: 2}. What is prob of picking 2 o, 1 g, and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 2 s when four letters picked without replacement from {v: 1, x: 3, i: 1, s: 2, g: 1, f: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 180490137661.\nAnswer: 180490137663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let n(l) = 8*l - 3. Let s(w) = 4 - 9*w + 8*w - 9*w. Let x(d) = 3*n(d) + 2*s(d). Calculate x(m(f)).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-6))\/7*-9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2 - 37*l + 33. Let j be n(-10). Suppose -u + 7 = -4*r, 2*u - 2 = -4*r - 12. What is the nearest to r in 4, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -2*d + 4*d. Suppose -276*o + 278*o - 5*w = 70, -30 = 5*w. What is the remainder when d is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1 - 0)*4. Let l = -2.91 - 0.09. Let k = -5500 - -5500. Sort -2, l, z, k.\nAnswer: l, -2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -80*w - 333. Does 16 divide o(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 257 = -373. Suppose -36 = -2*h - 2*h. What is the greatest common divisor of a and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/15 - 22\/195. Which is smaller: d or 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167858560 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + 21. Let o = x + -74. Let f = o + 17. Does f = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 - 122. Solve -6 - v = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n. Let l(q) = 4*q. Let t(v) = 11*l(v) - 6*y(v). Let x(w) = 1 + 18657*w**2 - 1 - 18653*w**2 + 0. Determine t(x(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 4*j + 5. Let g be z(5). Let h be 1 - (g - (0 + -7)). Let u = -4 - h. Solve 2*l - 10 = -2*r + 5*r, 3*r + u = -2*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Let j = 0.01 + 7.99. Let v = -8.3 + j. Which is the third smallest value? (a) s (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47787, 95739, 143863, 192159, 240627, 289267?\nAnswer: 338079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(sqrt(17) - (4 + sqrt(272) + sqrt(17)))**2.\nAnswer: 960*sqrt(17) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -322371, -644619, -966867, -1289115?\n\"Answer: -322248*z - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0 - 39*k + 0*k**2 + 1\/6*k**3. Let a(s) = 5*s**2 - 14*s. Calculate c(a(f)).\nAnswer: 5*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivk when three letters picked without replacement from {v: 2, k: 1, i: 7, n: 8, b: 2}.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3 - 5 = 0, 2 = -3*s + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -191*p + 201*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61253, -10, 3.\nAnswer: -61253, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 - 1770232704449\nAnswer: -1770232704448.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 758 = -767. Solve 5*d + 3*v = -1, d + 3 + 2 = -h*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*5.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j - 4*a + 498 = 0, 1530 = 3*j + 3*a. Suppose 0 = 59*o - 57*o - j. List the prime factors of o.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1794, -7229, -16280, -28947?\n\"Answer: -1808*a**2 - 11*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -9*g + 2800. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 34, 36, 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 510601088.3 rounded to the nearest 10000?\nAnswer: 510600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by ((-11)\/(88\/16))\/((-4)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 54805*x**3 + 2404160*x**2 - 26419140*x.\nAnswer: 5*x*(x - 10917)*(x - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 297689, 2381160, 8036297, 19048934, 37204905?\n\"Answer: 297639*x**3 - x**2 + x + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 320591*r - 3205762. Determine i(10).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2325509 is divided by 1215?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 345800 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a0 (base 14) to base 4.\nAnswer: 20110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -5, -4, -2, 5, 33 in increasing order.\nAnswer: -76, -5, -4, -2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1119\/1492*(-2)\/(-18)*-2 - 52\/(-344).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.02, 5, -3\/4, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 18*m - i = -5, -2253 = 3*m + 2*i - 2248 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046733551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -447.717 - -13.278\nAnswer: -434.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -8*f + 3*f + 37, i = 5*f - 21. Calculate the lowest common multiple of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 2*o + 10, 117*s + 5*o + 18 = 113*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q - 10*q + 21*q + 11*q + 41*q + 7.\nAnswer: 85*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -2 + 5 - 5 + 0 - 2*p + p**2. Let k be 1\/(-1 + (-2)\/(-3)). What is s(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {w: 4, k: 16}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/7 + 52230*x**3\/7 + 74625*x**2 + 1306000*x\/7.\nAnswer: -x*(x - 52240)*(x + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -8. Let s be 196\/(-2)*(-18)\/(-21)*i. Is 12 a factor of (-185)\/(-3) - 7\/s*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222110 + 10122000?\nAnswer: 3233230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 22. Let r be 7 + 4 + (-3 - 2). Let v = j - r. Solve v*p = 5*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/5, -2\/7, -4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 12, u: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.147 + -0.053. Sort l, 74, -0.1 in descending order.\nAnswer: 74, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1135 - -1137. Solve -11*m - 4*q + 5 = -16*m, q = j*m - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -3*x. Suppose w - 22 = g, 2*g + 0*g - 100 = -x*w. Let i be w - (-4 + 1 - -7). What is the highest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 6 = 3*q. Let l be (80 + 4\/2)\/q. Let v = l + 67. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*k + 2*f, -922*k + f - 2 = -925*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**2 + 31*a - 12*a + 35*a - 54*a + 166*a**2.\nAnswer: 137*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38539887*g**3 + 77*g**2 + 54*g + 64?\nAnswer: -231239322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 a when three letters picked without replacement from andpbpq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiqqiiai. Give prob of sequence qq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v + 91 + 133 = 0. Let f be (-5 + 4)*v - -81. Solve f = -5*z + 108 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 116*p**3 + 1792*p**2 - 3136*p.\nAnswer: 2*p*(p - 28)**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/18*2)\/(6 + (-1715)\/285). Sort -6, -13, t in descending order.\nAnswer: -6, -13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 34 - o - 2*o + 5*o - 17 - 8. Let d be (-28)\/5 - 2\/5. Let j be r(d). Put -5, j, -2 in increasing order.\nAnswer: -5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103528200 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 5. Let a(d) = d**2 - d + 1. Let n(h) = -5*a(h) - s(h). Give n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let j(z) = 15*z**2. Let i(a) = -7*a**2. Let w(c) = 9*i(c) + 4*j(c). Calculate w(d(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11791 by -19.\nAnswer: -11791\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-1))\/(-6) + 5. Let a(r) = 0*r**2 + 4 - 10*r + r**2 + 3*r - 1. Give a(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -31827*b - 425. What is the hundreds digit of i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1407*o**4 - 3*o**2 - 9.\nAnswer: 33768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*j + 37 = 0, 60 = -9*q + 13*q - 2*j. Let k(w) = 10*w**2 + 19*w**2 + q*w**2 - 40*w**2. Let h(l) = -10*l. Determine k(h(v)).\nAnswer: 600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4155*l**2*q**2 + 26*l*q**2 - 97*q**2 - 1011*q + 2 wrt l.\nAnswer: -8310*l*q**2 + 26*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -425 + 426 + 113*v**2 + 2*v**3 - v - 111*v**2 + 4*v**3 + 42*v**2 in the form o*v**3 + u*v**2 + d*v + l and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0 + 0*f**3 + 0*f**6 + 0*f + 0*f**7 + 0*f**5 - 1\/3*f**4 + 3*f**2 - 1\/336*f**8. What is the second derivative of o(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 3*c + 2*u - 6, -93*u + 92*u - 1 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 1. Suppose 4*b + 27 = 3*g, 2*b = 6*b - 2*g + 22. Let l be a(b). Suppose 2*m = 2*k - 14, -k - 11 = -l*k + 2*m. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(-1\/4))\/o*o)**(-5\/8))**(-12\/13)*((o*o**(2\/7))\/(o\/(o\/(o*o*o**(5\/4)))*o))\/(o**0)**(-11\/5) assuming o is positive.\nAnswer: o**(-1423\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - v**2 - 51*v + 223. What is j(5)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 51*r + 805. What is c(14)?\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**3\/2 + 85*k**2 + 3845*k\/2 - 4165 = 0.\nAnswer: -17, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3421.\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 5, 0.3, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 2*w**5\/5 + w**4\/2 + w**2 - 2*w - 2. Let p(m) = -3*m**4 - 4*m**3 - m**2 - 5*m + 5. Let l(b) = 2*p(b) + 5*x(b). Factor l(q).\nAnswer: 2*q**2*(q + 1)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**4\/24 + 7*o**3\/6 + 21*o**2. Suppose -86 = -9*w - 14. Determine c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -3*n**3 - 10*n**2 - 31*n. What is the units digit of f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.24275 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1171 divide 908619094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from gtwct.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-21 - (18 + -16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 209, 417, 625, 833, 1041, 1249?\n\"Answer: 208*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7911131549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.227225 millennia?\nAnswer: 227.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -196 + 196.00000518. Round a to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72824661 divided by 72824661\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**5 - 3*x**5 - 2 + 1 + 31*x**5 - 24*x**5 - 37*x**5 + (-2*x - 3*x + 4*x)*(-x + x + x**4).\nAnswer: -29*x**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9)*3)\/(-1)*(-33)\/44.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -0.3 (c) -1.5 (d) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 598439, 598379, 598319, 598259, 598199, 598139?\n\"Answer: -60*x + 598499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41022799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167 + -70. Let x = y - 99. Let p(g) = 34*g + 128. Let i(h) = -h**2 + 69*h + 256. Let z(j) = x*i(j) + 5*p(j). Determine v so that z(v) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.4 - 5.5. What is the closest to -1 in -0.5, -0.1, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1450913.4 milliseconds to minutes.\nAnswer: 24.18189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752 = -20*y + 14*y - 41*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 30*p**3 + 3*p**2 - 2*p + 3. Let r be t(2). Let a = r + -148. What are the prime factors of a?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/2530*-5*(-6)\/45?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/232)\/(4\/(-32))*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -922*c + 925*c - 3597 = 0. Is c less than 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 2*z + 1. Let f be 3\/(-4) - 35\/28. Calculate the smallest common multiple of d(f) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438148 is divided by 1436725.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876 = -49*a - 398 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-2\/109)*q)**(-5)\/(q**27)**(-11\/2) assuming q is positive.\nAnswer: q**(29083\/218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30d96 (base 15) to base 12\nAnswer: -757b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 3 - 4 + 2 + 1 + 5.\nAnswer: -2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 5. Suppose -2*j - 11 = -5*a - 4, 0 = -2*a + j + 2. Let v(o) = 2 - 5 + 0*o + o + 1. Calculate a*i(m) - 8*v(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39317 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -4*c**5\/5 + 16*c**4 - 104*c**3 + 224*c**2 - 196*c + 11419. Factor k(m).\nAnswer: -4*(m - 7)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156996 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - j**2 + j**2 + (-1 - 2*j + 4*j - j)*(-2*j - 81*j**2 + 20*j**2 + 34*j**2).\nAnswer: -26*j**3 + 25*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2100*d - 792 + 794 - 460*d in the form b*d + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156684.6855s in weeks?\nAnswer: 0.25906859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 329947, 329977, 330071, 330265, 330595, 331097, 331807, 332761?\n\"Answer: 6*k**3 - 4*k**2 + 329945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -5, 3 in descending order.\nAnswer: 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39881*t - 39887*t - 3*t**3 + 79768*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (686\/42 + -17)\/((-4)\/1422)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61570608 divided by -2565442.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 923 + 175. Suppose -50 + n = -4*y. Let r = y - -407. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4391*b**6 + 8*b**4 - 2523*b**3*k - 4981*b**2*k + 11*b**2 - 100*b*k + 3*b wrt b?\nAnswer: 526920*b**3 + 192*b - 15138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:45 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*j - 220*j - 18582641 - 23539359 = 0. Round j to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:40 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.127 or -1?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2503, -2875, -3883, -5845, -9079, -13903, -20635, -29593?\nAnswer: -41095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166 - 23. Let b = w - 125. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - j**2 - j + 1. Let a(o) be the second derivative of o**5\/10 - o**4\/4 - o**3\/2 + 3*o**2\/2 - 3*o + 61. Determine a(k) - 3*r(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -5, 0.11, -0.83, 2, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c - a = -39, 0 = 4*c + 5*a - 48. Let y(v) = -v + 14. Let b be y(c). Let k be ((-8)\/5)\/(4\/(-10)). Solve 0 = -3*x + b*x + k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let m = b + -1. What is the units digit of (m - 0)\/(1\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, 3.8, -1\/5, 0.4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 477 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 22. Solve -v*s = 2*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23696, 23685, 23672, 23657, 23640, 23621?\nAnswer: 23600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from {w: 4, k: 6, j: 3, i: 2}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10889, 43523, 97921, 174089, 272033?\nAnswer: 391759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c - 3*c + 0*c. Let j(m) be the third derivative of m**2 + 0*m + 0 + 5\/24*m**4 + 0*m**3. What is v(j(z))?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4324 and 26168756.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -5.3?\nAnswer: -111.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f)**(2\/39)*(f\/(f\/f**(-1\/20)*f))\/f**0)**(7\/2) assuming f is positive.\nAnswer: f**(-147\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352432 is divided by 162.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 6*v - 6*v + 3*v**5 + v + (3 - 4*v**3 - 3)*(-6*v**2 + 3*v**2 + 4*v**2).\nAnswer: -v**5 + v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3962 is divided by 1712?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahhhhaaahahhuh. Give prob of sequence hh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + s = 9, 15*t + 205 = 15*t + 41*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3144270 is divided by 1503?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 57. What is the second smallest value in -0.1, u, -1\/2, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 4.03.\nAnswer: 13.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 1. Let y be j(-8). Let z(s) = -s**3 + 6*s**2 + 6*s - 1. What is z(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 8*l - 8. Let b(q) = 4*q - 12 + 9 - l*q. Let p be b(3). Solve p = 2*r - 3*g + 4*g, -r + 12 = 4*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 7*x + 5. Suppose 5*i - 10 = 0, n - 16 = -n - 2*i. Let z be k(n). Let a = 1 + 4. Sort a, -5, z in ascending order.\nAnswer: -5, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1332)\/(-370))\/((-5)\/(-100)*-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3 + 3124*s**2 - 623776*s + 5363856 = 0. Calculate s.\nAnswer: 9, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 1 - (-1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16995221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(10\/(-600)*4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3096 + 6200 - 3*d - 3091.\nAnswer: -3*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 14*k**2 - 5*k + 9. Let s(f) = 5*f**2 - 2*f + 3. Suppose 121*q - 24 = 124*q. Determine q*s(b) + 3*u(b).\nAnswer: 2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2051*r**2 - 2633*r**2 + 2886*r**2 + 2421*r**2 + 2108*r**2.\nAnswer: 6833*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -0.2. Let g = 0.372 + 0.058. Let u = g + l. Round u to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5889 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1857601*a**3*x - 14*a**3 + 501*a*x - 936*x wrt a?\nAnswer: -11145606*a*x - 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*6.27641.\nAnswer: 244.77999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3+-803440714\nAnswer: -803440711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, t: 1, k: 1, q: 3, f: 1}. Give prob of picking 1 z, 2 q, and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*t - 56 = -208 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1\/2, -0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**8\/168 + m**6\/40 + 233*m**5\/60 + 1663*m**4\/24 + 63*m**2 + 14. What is the second derivative of s(d) wrt d?\nAnswer: 40*d**3 + 18*d + 466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -199?\nAnswer: -1\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 39 = 156. Suppose 5*i + 165 = 4*v + 913, -3*i = -5*v - 948. Let r = v + 266. Calculate the remainder when r is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 0 - 1\/24*o**4 - 21\/2*o**2 - 18*o + 1\/30*o**5 - 1\/15*o**6 + 0*o**3. Let x(p) be the first derivative of d(p). What is x(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j - 2, 2*j - 75 = -3*f. Let x be (f\/18)\/(3\/(-200)). What is the tens digit of (-2)\/(2 + 208\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 12*s. Let q(a) be the first derivative of 2*a**3 - 20. Give q(m(w)).\nAnswer: 864*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 42. What is the closest to f in -4\/5, -1\/4, -0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3464, -25809, -63050, -115187?\nAnswer: -182220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 15*m - 24. Let b be d(12). What is the second derivative of b*c**3 + 7*c - 4*c**3 + 4*c wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose -4*u - f + 225 = i, 7*u = 3*u + 5*f + 195. Suppose 0 = 7*l - 3*l + 5*w - 70, -u = -3*l - 5*w. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 4*m + 60, -2*m - 1 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (28 + -93 - -30)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6565)\/(-5252))\/(15\/(-6)))\/(((-1)\/(-38))\/1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 9*d**2 + 36*d - 10. Let k be o(-14). Suppose -4*s = 2*q - 2*s - 1998, 0 = 4*q + 3*s - k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 499, 914, 1323, 1732, 2147, 2574, 3019?\nAnswer: 3488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5132 + 5156. Solve -w = -19*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.8 + 11.3. Let o be 4\/3*(-122)\/116. Let v = o - -2\/29. Which is the third biggest value? (a) 2\/9 (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6b + 4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44595 - -3.44595. Which is the third smallest value? (a) i (b) 1\/5251 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(sqrt(242) + sqrt(242) + -3))**2.\nAnswer: -8448*sqrt(2) + 62528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26369 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 69*a**3 - 8*a**2 + 9*a + 56. Determine z(-4).\nAnswer: -4524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/6 in 8, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35664, 142827, 321434, 571485, 892980, 1285919, 1750302?\n\"Answer: 35722*y**2 - 3*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160386, 641278, 1442772, 2564874, 4007590, 5770926?\nAnswer: 7854888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 j when three letters picked without replacement from {i: 2, o: 2, v: 1, c: 1, j: 1, d: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 1\/7, -18.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((77\/(-5))\/7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 5*q + 0*q)*(6 - 2 - 2)*(-4 + 1 + 0).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2559, -2564, -2569, -2574?\n\"Answer: -5*l - 2554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82672*c**3 + 248142*c**3 - 82792*c**3 - 82677*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13933*w**3 + 6971*w**3 + 6969*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228*q + 111*q**2 + 24*q**2 - 16*q**3 - 134*q**2 to the form m*q**2 + g*q + p + d*q**3 and give g.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**47*v**(-4)*v**(-5\/4))**(-17) assuming v is positive.\nAnswer: v**(-2839\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*c - 28*c + 132*c)*(3*c**4 + c**4 - 2*c**4) + 193 - 44*c**5 - 193.\nAnswer: 296*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2315261?\nAnswer: 13, 313, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 3*s - 1. Let n(k) = 4*k**2 - 4*k - 1. Let a(i) = 5*n(i) - 6*w(i). Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = -3*a, 2*a = 4*w + 10 + 10. Calculate the least common multiple of 2 and ((-2)\/6)\/(2\/w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -80, 24 in ascending order.\nAnswer: -80, -1, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 6*z**2 - 6*z + 1. Let r be o(-4). Find the second derivative of 17*k - 3*k**2 + 7*k**2 - r*k + 5*k**2 wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 280 = -5*q - 4*j, 0 = 3*q - 2*j - 188. Let g = q - 58. Solve 4*b + 4 + 7 = -3*s, 4*b + g*s + 14 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - q = -4*g + 7, 4*q = 8. Let j be (2\/(-6))\/(g\/(-45)). Suppose j*w - 14 = 3*w. Calculate the smallest common multiple of 1 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -384287\/3 + 128103. Find b, given that -z*b**3 + 2*b**2 + 2*b**5 - 8\/3 + 2\/3*b**4 + 16\/3*b = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122535167 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3234761 is divided by 6185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1823*h**2*o*w**2 + 36*h**2*o*w + 45*h*o*w**2 - 32*h - 2*o*w**2 - w**2 wrt h?\nAnswer: -3646*o*w**2 + 72*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 980 - 759. Calculate the greatest common factor of 91 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9744571.2 hours in weeks?\nAnswer: 58003.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2644 - 515582\/195. Let r(b) = b**2 - 3*b - 1. Let w be r(3). Which is greater: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 + 143 - (-26 - 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1006359, -1006378, -1006397?\nAnswer: -1006416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 14*k - 77.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44730129 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 119106 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -613*b**5\/10 - b**4\/12 + 791*b**3\/3 + 2*b + 1024. Find the second derivative of v(j) wrt j.\nAnswer: -7356*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 7497?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**9\/5040 - m**4\/2 - 2*m. Let r(v) be the third derivative of w(v). Determine f, given that r(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -89, 5, 1, 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 447, 449?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - (-6 - -5) - (-13 + 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z - 28 - 0. Is (-42)\/56 + -1 + (-271)\/z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u. Let c(h) = -46*h - 40*h + 119*h - 45*h. What is l(c(r))?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -1, 15, 35, 59, 87?\n\"Answer: 2*q**2 + 6*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6966\/163, -2\/13, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/132 + 2\/40.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 5*n**2 + 8*n - 6. Let z be c(6). Find the third derivative of x**2 - 17*x**z + 2*x**2 + 13*x**6 wrt x.\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 5*u + 200, u - 48 = -586974*g + 586973*g for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2073046 or 10\/11?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3409.6 + -3410. Which is the nearest to 1? (a) s (b) -0.5 (c) -4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4404*y + 0 + 4393*y + 0.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2067.8 - -1884. Let z = 183.7 + p. Let h be (-2)\/(-12)*(-2)\/3. Which is the closest to z? (a) h (b) -4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006316622 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = -2*g. Let v be (g\/6)\/((-2)\/18). Solve 2*s = -0*s - 10, 5*h + v = -4*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/5)\/(-10))\/(1 + (-5)\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 48 = -131. Let k = 94 - m. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 a factor of 60435413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2715531 divided by 9947\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*y - 35*y - 57*y - 6*y - 32*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 62*a + 15. Let m be j(13). Calculate the remainder when 112 is divided by -8*(-10)\/(-12)*108\/m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 1. Suppose 4 - 4 = -7*n. Suppose -2*s + n*s + 2*j - 8 = 0, 5*j = -4*s + 11. Let y(u) = -14*u + 14. Let h(v) = s*y(v) + 2*a(v). Factor h(i).\nAnswer: -2*(i - 6)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2846380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 293, 190, 3, -280, -671, -1182, -1825?\n\"Answer: -2*l**3 - 30*l**2 + l + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**2 + 5*m + 4. Let y be v(-4). Suppose 2*u - y = 8. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13966*k + 5. Let n be 77\/8 + (-30)\/(-80). Let h be i(n). Let q be h\/(-105) - (-2)\/14. What is q rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - (-30)\/(-18))*(-4 - -1). Let f be (-441)\/(-35) - 4\/r. Let t be (-1)\/4 + 159\/12. What is the greatest common divisor of t and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.238 - 1.93. What is h rounded to 2 dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47600.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/120 - 7*c**5\/30 - 25*c**4\/24 - 17*c**3\/6 - 3*c**2 - 198*c. What is w(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 v when three letters picked without replacement from ddanavnnadnann?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/9))**(-3\/4) assuming z is positive.\nAnswer: z**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from mmmuymmya.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -166603?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 5*l**2 - 5*l**2 + (-l + 2*l + 0*l)*(-2*l + 5*l - l) + 38414 - 38414 - 4156*l**2 as x*l + y*l**2 + b and give y.\nAnswer: -4153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:15 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose 5*q = -0 + 10. Suppose -t = -q*v, -5*t + 15 + 3 = -v. Solve t*s + 20 = -c*h, -3*s + 4*h - 10 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. What is the smallest common multiple of n(-6) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 0 - sqrt(1088)) + 4 + (sqrt(1088) + 1)*5 - (3 + 3 + ((sqrt(1088) + -4)*-4 - sqrt(1088) - sqrt(1088)))**2.\nAnswer: -39643 + 2152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, l: 3, p: 1, t: 2, h: 1, q: 3}. What is prob of sequence tptr?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, 1, 2, -892.3 in decreasing order.\nAnswer: 2, 1, -1.9, -892.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*(-693)\/210.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (40 - (17 + -54 - -21))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -50\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1380976 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 356329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 111.1.\nAnswer: -444.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*s + 275*s + 324*s = -6948 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 + 141. Suppose 3*h - 123 = -3*v, 4*h = -3*v + 6*v - 95. Let f = v - a. Solve 2*j + f*j - 35 = 5*p, -4*j = -2*p - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 372, -40, 1, -501?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 6:43 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 4*a + 4*a)*(-33 + 129 + 14 + 54 - 10).\nAnswer: 1232*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.093098 and -86.\nAnswer: -8.006428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1525, -0.055, -5\/6, 4 in ascending order.\nAnswer: -5\/6, -0.055, 4, 1525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/44072 and -111\/20?\nAnswer: 220360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 2*w**5\/15 - 2*w**3\/3 - 4*w**2 + 6. Let s(k) be the second derivative of x(k). What is the first derivative of s(g) wrt g?\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 3*m + 25. What is the units digit of c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*g + 5*m, g - 14 = -2*g + 2*m. Suppose 24 = g*s + 2*s. Factor -11*x**2 + 9*x**3 + 9*x - 25*x**2 + s*x**2.\nAnswer: 3*x*(x - 3)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x. Let b(i) = 0 - 2 + 14*i**2 - 2 - 6*i - 15*i**2. Let y be b(-5). Calculate f(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**4 - 11*w**3 + 69*w**2 + 75*w + 6. Let j(a) = -6*a**4 + 12*a**3 - 68*a**2 - 76*a - 5. Let v = 255 - 260. Let x(q) = v*r(q) - 6*j(q). Factor x(k).\nAnswer: k*(k - 9)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*k - 19*k = 33*k - 181013. List the prime factors of k.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + u - 7 = 0, -2*g = -3*g - 5*u + 16. Let k = 3 - g. Suppose -3*s + k*y + 4 = 0, 5*s = 2*s + 5*y + 1. What is the nearest to s in -2, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18697.1451 + 18697. What is z rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 49*o - 794. What is y(12)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 31*a**2 - 28*a**2 - 4 + 2*a - a. Let x(y) = -y**2 + 2. Give -2*l(p) - 5*x(p).\nAnswer: -p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -668 or -667?\nAnswer: -668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8915 - -8915. Solve -3*j + 5 = p + 7, y = 3*p - 2*j - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -27828*r - 27873. What is n(-1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 0 + 1\/6*n**2 - 1\/6*n**5 - 1\/2*n**3 + 1\/2*n**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 3*s = 4*r + 35 + 39, -1794 = 3*r - 90*s - 159 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5515 + 21?\nAnswer: 5536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 3, 800, 0.2, 1\/3 in descending order.\nAnswer: 800, 3, 1\/3, 0.2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384 + 1470 = -206*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c**3 - 604*c**2 - 58*c + 180. Give v(55).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/131 (c) 227378 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + 1. Let y = 0.3 - 0.5. Let r = y - c. Sort 4, r, 1 in decreasing order.\nAnswer: 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 - 102*o**4 - 1098*o**3 - 3144*o**2 + 6981*o + 9126 = 0.\nAnswer: -13, -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/3 - 9*q**2\/2 + 9*q + 2. Suppose -27*d + 20*d = 70. Let k be v(d). Which is smaller: -4\/73 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in -23\/5, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/80 and -31\/432?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4756 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38064 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1392\/261)\/(2\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 179567*j - 250285.\nAnswer: 179567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 595880 to the nearest 1000.\nAnswer: 596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, j: 13}. Give prob of sequence jxxj.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 396*g**3 + 12*g - 255*g**3 + 4*g**2 + 652*g**3 + g**2.\nAnswer: g**3 + 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 6. Let h be (105\/r + -1)\/(6\/(-9)). Solve -4*z + 3 = h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296) + sqrt(1296)*-2 - sqrt(1296))\/(-3*sqrt(128)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 2.3, -0.3, -9, 5\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2169065 is divided by 676.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 - (1 + (-8)\/4). Let i be (21\/q - -3)*4. Which is the second smallest value? (a) i (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25345*k**2 + 156*k - 50*k - 49*k - 57*k.\nAnswer: 25345*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*a + 11, 2*m - 3*a - 15 = -m. Suppose -5*d = g - 7, -2*g - m*d = -7 - 31. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6757 and 261?\nAnswer: 60813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**5\/20 - 7*n**4\/6 + 7*n**3\/2 - 15*n**2\/2 - n + 5473. Determine d(12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.24 - -0.24. Let b = -0.8 - 0.2. Sort b, -4, m in ascending order.\nAnswer: -4, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2139 + -2129. What is the nearest to -7 in 1\/9, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 21*s**4 + 9*s**2 - 3*s**2 + 27*s**4 + 6*s**2 to the form z + h*s + k*s**4 + p*s**2 + m*s**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -20*w + 18*w. Let g = 26 + -25.93. Let m = g + -0.27. Which is the closest to w? (a) m (b) -2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 + -395\/4. Let n(f) = 16*f - 159. Let j be n(9). Let r be (-2)\/6*(-12 + 237)\/j. Which is the nearest to 0? (a) r (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -27*r + 32*r. Let z = r + 22. Let x(h) = 0 - 3 - 2 + h - 1. Calculate x(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018288489 to six decimal places.\nAnswer: -0.018288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 121*u**5\/20 + 5*u**4\/6 - u**3 - 10*u**2 + 14*u. Let v be m(-14). What is v rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 18975.\nAnswer: -1\/6325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -862*i - 5171. Let m be x(-6). Solve 69 = 14*g - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -12*y - 150. What is the remainder when 228 is divided by l(-19)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1080 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*g**2 + 2*g + 9 + 50*g**2 - 7*g**2 + 25 - 9 wrt g.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.47 (b) 3\/5 (c) 0.034 (d) 2\/5 (e) -0.07 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 9. Let d = j + 9. What is the remainder when -18*1*(-6)\/4 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208282*a*s**2 + 890*a + 88*s wrt s.\nAnswer: -416564*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - v + 10*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -251, -505, -759, -1013, -1267, -1521?\n\"Answer: -254*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyyxyyygzxgrgyx. What is prob of sequence yggg?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/51 - 2\/51. Let q = 174 + -174.2. Which is the closest to -9? (a) q (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 191880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1152)\/(-30))\/(3\/(15\/1)). Suppose -7*s + m = -1355. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 23*v - 462 = 0. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 119*j**2 + 160*j + 4957. Give l(-118).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47831595 is divided by 683308?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/7)\/((-34)\/(-14)) + (-8141)\/17. Is l greater than -480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -63. What is the remainder when 191 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-35 - -22 - (-30 - 4)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13497 is divided by 2695?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 181.\nAnswer: -2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 30.98036kg?\nAnswer: 30980360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(((-14)\/21)\/1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -240\/4362647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44580 + 115*w**3 + 22585 + 21995.\nAnswer: 115*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/22 and 61\/142.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*h = 30, h - 1 = 2*l - 2. Let q(p) = p. Let z be q(l). Is 0*(-3)\/z + 14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -0.07 (c) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5699 or 1?\nAnswer: -1\/5699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*b\/(b**18\/b)*(b*b**(2\/61))\/(b**(-1\/2)\/b))**(-6\/7) assuming b is positive.\nAnswer: b**(23913\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 4*y - 9, 5*c - 21 + 6 = 2*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u + 4*r = 12, -4*u + 3*r + 33 = 0. Calculate the greatest common factor of u and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 u, and 1 c when three letters picked without replacement from {g: 1, c: 1, l: 1, w: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Let h(f) = 5 - 33*f**2 + 3*f + 58*f**2 - 26*f**2 - 4. What is the units digit of h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/151164 and 155\/302328.\nAnswer: 302328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3018 + 6055\/2. Let q = 420 - 1613\/4. Find the common denominator of q and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 6*d to l*d + q and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/40 + -2 + (18\/63)\/(50\/2170).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-38))\/(((24\/(-42))\/4)\/((-168)\/(-4116)))?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47886411 and 5823.\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95\/2 of a litre?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7021181.\nAnswer: 167, 42043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 - 2 = 0. Suppose 0 = -i - 3 + 7. Put i, t, 2 in ascending order.\nAnswer: t, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/(-448))\/(1\/(-8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4808 and -655412?\nAnswer: 650604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by -787\nAnswer: 83\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2))\/x)**25\/((x\/x**(-2\/13))\/x**(1\/4)))\/(x**(2\/15)\/x**(-12))**(-5) assuming x is positive.\nAnswer: x**(1523\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 462903147 a multiple of 1533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**2 + 5862*v - 1083240 = 0.\nAnswer: -2124, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Let w be 4 + (-8 - (3 + -7)). Suppose w = 2*o - 10, c + v*c - o - 70 = 0. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*i**3 + 850*i**2 - 863*i**2 - 3*i**3 wrt i?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8321*r**3 + 7*r**2 + 28*r + 128. Let x be o(-8). What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 49*s**5\/90 - 7*s**4\/9 + 4*s**3\/9 + 3*s**2. What is o in y(o) = 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b + 35. Let g be a(11). Let y = g - -71. Which is smaller: y or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - 3*i = 33*y, -7*y + 2*i + 17 = 0. Let m be (45\/(-12) + 4)\/1. Which is the closest to m? (a) 3\/4 (b) y (c) 0.6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3050 and 45?\nAnswer: 27450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 5:41 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0014424537875542 + 0.3.\nAnswer: 0.3014424537875542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2714*q + 7874*q + 78124 + 9565*q - 78124 in the form s + a*q and give a.\nAnswer: 14725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 12*s + 25. Let j be c(12). Let a be 4\/10*j\/10. Sort a, 9, -5 in decreasing order.\nAnswer: 9, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2532*y**2 - 2233*y + 1?\nAnswer: 5064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -4.72\nAnswer: 0.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 23. Let x = j - -9. Let i be 5*(-1 + -1 + 1). Is i at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 137*v - 8482. Let h be t(62). Which is the nearest to -1\/3? (a) 1 (b) -2 (c) h (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3303152 + 125?\nAnswer: 3303277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5734822081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -37a?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3 - 0)*-3. Suppose -2*l = q*l. Solve 4\/3*t + l - 2\/3*t**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*-6*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 + -1603.\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -256 in 20096, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2587412 is divided by 3144?\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1022246 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -15. Let v = -17 + 48. Let o = i + v. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b**2. Let y(p) = 19503*p**2 - 88*p + 1. What is y(u(f))?\nAnswer: 2808432*f**4 - 1056*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -61*s**2 - 3293*s + 3414. Calculate w(-55).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 77, -743, -81, -2 in increasing order.\nAnswer: -743, -81, -2, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/2)\/((-7)\/(-14)). Suppose -3*o = -l*v + 20, v = -4*o + 24 + 3. Let n(j) = -j**2 + 2 + 2*j + 2 - v + 2*j. What is n(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6*(-9)\/(-2). Let z = c - -3. Let x(m) = -3*m - z + 12 + 2*m. Determine x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*x - 687*x - 5*z - 57 = 0, -z = -x - 2*z - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8766708 by 3.\nAnswer: 2922236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/6 - 8*j**2 - 35*j. Let t be q(16). Factor -2\/9*x**2 - 2\/9*x**4 + 0*x + 4\/9*x**3 + t.\nAnswer: -2*x**2*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 9*f + 210. What is the greatest common factor of f and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6171 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 + 10*p**4 + 8*p**3 - 32*p**2 - 64*p - 32.\nAnswer: 2*(p - 2)*(p + 1)*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0130435 from -0.107971534.\nAnswer: -0.121015034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149507, 149418, 149221, 148862, 148287, 147442, 146273, 144726?\nAnswer: 142747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 6 = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04096345 * -1.8.\nAnswer: -0.07373421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9.86. Let q = -0.03 + m. Let g = q + 0.09. What is g rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.33 - -1.43. What is the closest to x in 17, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 - 7*o**3 + 44*o**3 - 90*o**3 + 60*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 42*p - 115. What is the tens digit of f(60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a factor of 2086338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - y + 6. Let v be 0\/(0 - 4 - -6). What is i(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24336\/47520 + 15\/(-55)*2\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -2 (b) -3\/4 (c) 0.03 (d) -111 (e) -4\/11 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1361*v**3 + 341*v**2 - 7*v + 14. Let t(s) = s**3 - s + 2. Let p(w) = h(w) - 7*t(w). Find the third derivative of p(y) wrt y.\nAnswer: -8208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0*3\/12)\/(-1))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-25)\/((-225)\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 1. Let h(l) = 23*l + 27*l + 5 + 36*l - 87*l. Determine h(y) + 4*k(y).\nAnswer: -5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 3, -20, 143.\nAnswer: -84, -20, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(147) - (-1 + sqrt(147))) + 2 + (sqrt(147) + 0 - sqrt(147)))*4 + -3 + 4 + -4)**2 + 5.\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 1. Let b be (-9)\/(-6) + (-1)\/2. Let c be a(b). Let g be -2 - ((-2)\/c + -3). Solve -20 = g*p - 8*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0 (c) 0.03 (d) 0.32 (e) 7\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 8*u**3 - 37*u**3.\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*z - 13*n + 9*n, -z + 7 = -n. Solve 0 = -z*p - 3 - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-12)\/b)\/b**(-1\/4))**(-41\/5)\/((b*b*b*b**(-1\/5)*b\/((b**(-3\/2)\/b)\/b))\/(b**(-5)\/b*b\/((((b*b**8)\/b)\/b)\/b))) assuming b is positive.\nAnswer: b**(345\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -7, 4, 25, 56?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.3 (c) 0.23 (d) -3\/5 (e) 3 (f) 3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 349777207.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (380079 - 380080 - 1141*u - 652*u)*(3*u**2 - 3*u**2 + u**2) to the form r + l*u**2 + j*u**3 + x*u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 0 - 1798\/7*m**2 + 118\/7*m**3 - 2\/7*m**4 + 1682\/7*m = 0.\nAnswer: 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/((w**(-4)*w)\/w))\/w)\/w**(-2))\/(w*(w*w**(-1\/6))\/w)**48 assuming w is positive.\nAnswer: w**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 48*r - 39*r + r**3 + 0*r**3 + 79*r in the form m + w*r**2 + v*r**3 + l*r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w - 21. Let x be j(13). Suppose -3*v = -9, -2*b + 4*v + 3 - x = 0. Solve -5*l = -2*y + 6*y - 32, -11 = -b*l + 3*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpfpufpffppufuuuu. Give prob of sequence ufu.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2. Let n(t) = -t**2 + 3*t + 2. Let f be n(2). Let o = 1 + 3. Let i(x) = x - o + f. Determine i(c(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/25 + -6 + (-7)\/(-7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a + 35*a + 108 = 14*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**4 + 55*d**2 + 252 + 5*d**4 - d**4 + 7035 wrt d.\nAnswer: 4*d**3 + 110*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7168 (base 14) to base 2\nAnswer: -100110000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6153 is divided by 307.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279507 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 441, 3427, 11523, 27285, 53269?\n\"Answer: 426*m**3 - m**2 + 7*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126426461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + z + 5 = 0, 0 = -2*c + 2*z - 15 - 5. What is the biggest value in -4\/7, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 108286*o - 11803159. Give d(109).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1714?\nAnswer: 5142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b7ca - 6?\nAnswer: -5b7d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*s + 111700 = 25516. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223260.2 rounded to the nearest one thousand?\nAnswer: -223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213698 = 25*r + 212023 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u - 1562 - 660 = -624 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-480)\/(-10))\/(-8))\/3*9\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/25)\/((-5)\/(175\/7))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 37 = -c, 3*h - 2*c - 58 = 0. Let p = 25 - h. Suppose 6 = -p*l + 69. Calculate the smallest common multiple of l and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4\/4 + 274*j**3 + 547*j**2\/2 - 274*j - 1095\/4 = 0.\nAnswer: -1095, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 0.1 (c) -1\/7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 9*f - 4. Determine x(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 2752*p - 473344.\nAnswer: -4*(p - 344)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 13) to base 7.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1844 - 1075.\nAnswer: -1072.8156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.16 (b) 15.35 (c) 1\/76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c. Let s = -310 - -492. What is the common denominator of (1053\/s)\/((-12)\/(-14)) and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 4)*2\/(-4). Let j(z) = -4*z**2 + 33*z - 11. Let o(y) = -y**2 + 8*y - 3. Let t(h) = -2*j(h) + 9*o(h). Let m be t(l). Solve -2*s + m = 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*v = 7, 8*g - 5*v + 37 = 9*g. Solve -5*u = 2*q + g, q + 2*u - 12 = -21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.99 times -0.05\nAnswer: -0.0995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - t = -174, -6*t = -3*t - 6. Suppose -2*j = d - 27, 0*d - d + 12 = -j. Let f = v - d. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - -6 - (-1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45297960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(325) + 0 + 2 + sqrt(325))**2 + 4.\nAnswer: 40*sqrt(13) + 1307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1516 (c) -5\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3*p*s + 2*j**3*s**2 - 9*j**3 - 24*j**2*p - 773*j*p*s**2 wrt s?\nAnswer: 4*j**3 - 1546*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 - 1664 = -14*r. Solve 174*c + 39 = r*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*m + 4*f - 262 = 0, 5*f + 280 = 5*m. Let k = -62 + m. What is the nearest to k in -5, -2, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6164143.78 rounded to the nearest one hundred thousand?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bssbbbsbss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31, 34, 49, 82, 139, 226?\n\"Answer: w**3 - 4*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjnjjnndnjjjnnjbdx. Give prob of picking 1 x and 1 n.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53725, -107456, -161187, -214918, -268649?\n\"Answer: -53731*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 290 = 4*o. Let z = o + -51. What is the greatest common factor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 12*h**2 + 343*h - 2063. Give u(6).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17503996 - 214*o**2 - 17503996.\nAnswer: -214*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3758247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 43572.61 microseconds?\nAnswer: 43572610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-12)*(-8)\/(-10). Suppose n = -0*v - v + 8, -g*v + 4*n + 34 = 0. What is the remainder when 17 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257670174 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(140\/(-24)))\/((-1)\/7). Let l(q) be the first derivative of q**3 - q**2\/2 - 6. Let n be l(-1). Solve 2*w + g = 3*i, -n*w - i = 10 + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 4. Let d be k(0). Let x(n) = n**2 + 5*n + 4. Let h be x(d). Let v(o) be the second derivative of -o**3\/6 - 3*o**2\/2 + 4*o. Calculate v(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 4*j - 5. Suppose j = -c + 2*c. Let s(o) = -3*o**3 + o**2 + o. Let i be s(c). Which is bigger: i or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-2)\/4)\/(-1) - -1. Suppose 0*h + 9*h - 153 = b. Calculate the lowest common multiple of 1 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369635 smaller than 369637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 382 + 125 = -2*y, -4*f + 12 = 0. Let k be (-1)\/(y\/(-25) + 5). Solve -3*i - 2*o = -0*i - k, 5*o + 30 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1695 divided by -42355.\nAnswer: -339\/8471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(11)*3 + 5) - (-2 + -3*sqrt(99)\/(sqrt(9)*3))**2.\nAnswer: -10*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffeef.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 0*w**4 + 0*w**4)*(-6 + 0 - 6)*(-5*w + 8*w - 32*w)*(0 - 4 + 3).\nAnswer: 1044*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*m**4*m\/(m**(-8)*m*m)*m*m**0 assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 579, 566, 535, 480, 395, 274?\n\"Answer: -i**3 - 3*i**2 + 3*i + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 5*z - 21, -2*z + 4 = 2*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emmmembbebbebzv. Give prob of sequence vemz.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 6) + 1 - -24 - (55 - (2 - 3)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 836\/(-143) + 6 - 2\/13. Which is smaller: -19\/37 or k?\nAnswer: -19\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b - 3*b)*(1 - 1 - 2*b) - 1 - b**2 + 1 + 4 - 4 + 4*b**2 + (3 - 3 - 2)*(2*b**2 + 0*b**2 - b**2) + 3*b - 3*b - b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*s + 3, -4*j - 1 = 3*s - 6*j. Suppose 9 = i + 3*v, -i - 1 = 5*v - 7*v. Put i, s, 0, -5 in decreasing order.\nAnswer: i, 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6 and 7 - (1*3 - (20 + (-174325)\/7296)).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 5*t - 4. Let n be l(4). Suppose n = -3*z + 7 - 1. Solve 3*p = -2*v - 3, 0*v - v + z = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1336, -10, 2 in descending order.\nAnswer: 1336, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*n + 13, 2*u - 2 = -0*u. Suppose -n*y = -2*l - 10, 5*l - 17 = y - 4*y. Solve 5*z + 40 = -5*d, -3*z + d - 5 + l = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -7. Let t = g - -12. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + -0.3. Let u = 43.2 + -43.3. Let p = -3.7 - -0.7. What is the nearest to a in p, u, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 428e?\nAnswer: 4291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*o*r**2 - 4282*o - 347*r**2 + 569 with respect to r.\nAnswer: 30*o*r - 694*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**3\/6 + 11*l**2 + 9*l. What are the prime factors of k(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:15 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.689454 tonnes in milligrams?\nAnswer: 9689454000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2\/87, 3, -25.\nAnswer: -25, -1\/3, -2\/87, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {k: 1, z: 3, g: 1, n: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2457 + -0.0387. Let s = i - 0.053. Let b = s - 0.15399893. What is b rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2548)*2 + (sqrt(2548) - (sqrt(2548) - 1*sqrt(2548)*-6 - sqrt(2548))))\/((sqrt(72) + sqrt(72) + 6*sqrt(72)*1)\/sqrt(2)).\nAnswer: -7*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -29, -22, -15, -8, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 12*p**2 - 11*p + 13. Let q be v(11). Let m(w) be the first derivative of 8 - 32 + 26 + q + 3*w**2 + w**3. Factor m(g).\nAnswer: 3*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 22. What is c(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103375935*c**2 - 644929*c + 24 wrt c.\nAnswer: 206751870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -17. Calculate the remainder when 8 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.3, 3\/26278, 14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15*b**2 - 4*b - 1. Let w be r(-3). Let n = -84 - w. Suppose -4*o + 0*o - p = -29, 5*o + 2*p = n. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 48*a - 10. Let u(s) = -s**2 - 104*s + 24. Give 7*b(j) + 3*u(j).\nAnswer: -3*j**2 + 24*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1\/5 (c) 2 (d) -177422 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 34*u - 29*u = 5, 4*g - u + 1 = 0. Solve -3*s + 3*h = -g - 9, 0 = -s - 2*h - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 5*r - 3*r)*(-5 + 2 + 5) + (5*r + 4*r - 6*r)*(0 - 6 + 2).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 10*g**5 + 25*g**4 - 2320*g**3 + 8735*g**2 + 4950*g = 0?\nAnswer: -18, -1\/2, 0, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*g + 13, -10 = -g - 9. Let q be a + (-408)\/(-80) + 4. Factor 2\/5 + q*w**3 - 1\/10*w**2 - 2\/5*w.\nAnswer: (w - 2)*(w - 1)*(w + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*2*sqrt(27).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -0.4, -1.471, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 20 = 2*c, -5*c + p + 4*p = 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 6*p**5 + 12634*p**4 - 5075722*p**3 + 6740942*p**2 + 1694716*p - 3372576 = 0.\nAnswer: -2451, -2\/3, 1, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.02 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*h + 8*h = -711, 0 = -4*j - 3*h - 1437. Let b = -337 - j. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - -2. Let d be 1*4\/(n\/2). Factor -d*q**2 + 0*q + 1\/2.\nAnswer: -(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 193392 and 558688?\nAnswer: 5028192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(2))**2*2 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/157 and -97\/136276.\nAnswer: 136276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 3:44 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 129503 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.98 - 0.02. Let l = 4.27 + -5.27. What is the nearest to s in l, 3, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 62. Let b be k\/(-8)*(-2)\/1. Suppose -43 = b*p + 4*j - 107, -2*j = 8. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624487?\nAnswer: 624487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 9. Let b be i(-3). Put 7, b, -1 in increasing order.\nAnswer: -1, 7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3*6\/36*-107792)\/(25 - 27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**2 - 9*w**2 + w**2.\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 73939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397526 to the power of 1\/2, to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -84\/97?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/4*(-45 - (-188260)\/4180).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 1. Suppose h*x + 50 = 4*z, -1 = 4*x + 7. Calculate the remainder when 28 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 - 3*g - 4. Give x(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -7*q**2 - 4\/3*q**3 + 5\/12*q**4 + 0 + 0*q. Is w(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q - 2 - 4\/3*q**3 + 0*q**2. Let p(k) = -2*k. What is j(p(t))?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 1 + (3 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 9*p - 7*n = -5*n - 0*n + 16, -3*n - 16 = -1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 3:56 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000404722395 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5 - 4 = x, -x = -1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 285 - 119. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176 is divided by 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*sqrt(110)*-2)\/sqrt(10) - (-1 + sqrt(891))**2*-5).\nAnswer: -88*sqrt(11) + 4465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -1593?\nAnswer: -1593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 17 - 109)*(3*t**4 + 27*t**3 - 42*t**3 + 2*t**4) + 0*t**4 + 3*t**4 - t**4.\nAnswer: -293*t**4 + 885*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748080 is divided by 343.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 12*x**2 - 227*x - 46. Determine d(11).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 2:15 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1255604 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*v = 166 - 153, -3*i + 2*v = 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122425 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - j - 6. Suppose 0 = -n + j*n + 18. Let f = 22 + n. Calculate the highest common divisor of 12 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -83. Let k = -22882567 - -22882533.9999725. Let q = k - c. Round q to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9521*q**2 + 9657*q**2 + 124 - 124.\nAnswer: 136*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 12*g**2 + 10*g + 1. Let u be v(-11). Let j = u + -8. Suppose -5*t - 2 = -3*s - 7, -4*t + 5*s = -j. What is the closest to t in -2, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3071 - 481. Suppose 10*z + o = 20*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15895, 16000, 16103, 16204, 16303?\n\"Answer: -f**2 + 108*f + 15788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*j, 8*l - 3*l + 5*j - 15 = 0. Suppose 2*t = -p, l*p - 6 - 5 = t. Is 11 a factor of (-10)\/4*p*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 9. Let g(s) = 209*s**2 + s - 3. Let x(d) = -418*d**2 - 2*d + 6. Let o(v) = -11*g(v) - 6*x(v). Is o(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*j + 13 - 2, 0 = m - 4*j + 8. Suppose 5*x = -u - 4*u + 8265, -m*u - 2*x = -6604. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:16 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*u + 259*u - 138 = 49 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-456)\/(-88) - (-4)\/(-22). Solve t - 8 = q*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/59052 and -163\/9576.\nAnswer: 354312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 2 - 4)*(0 - l + 0).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*o + 3*o - 3*o)*(-3 - 3 + 4).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3759084 divided by -59668.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + 3. Let y = k + -26. Suppose -3*h - a + 83 = y, -3*h + 123 = -a + 38. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 2. Let n be h(-6). Calculate the lowest common multiple of 8 and (-30)\/n*(-32)\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(9\/4)\/i*i**(4\/7)*(i**(1\/6))**(1\/16) assuming i is positive.\nAnswer: i**(2575\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1124 + 1130. Calculate the greatest common divisor of 294 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 32, 43?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(114)*-1 - sqrt(114))*-4)\/(sqrt(54)\/(sqrt(45)\/(sqrt(5)*-2))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80393292 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 + 1 = 0. Suppose 0*s = -2*j + 3*s, -2*s = -5*j + y. Solve j*z + 8 = -1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kffffkffkkfffkfkff. Give prob of sequence ffkf.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 357988871\/2751606 + -5696\/13897. Let g = o - 1470\/11. Calculate the common denominator of g and -61\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -4, 2\/105 in increasing order.\nAnswer: -4, 2\/105, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 3*y + 6. Is x(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2. Let g be k(0). Find the first derivative of g - 2*r + 0 + 2 - 1 wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9702 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:10 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -700 + -0.10523\nAnswer: -700.10523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -354*o**3 + 822.\nAnswer: -1062*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -0.9. Sort o, -1, 0.3.\nAnswer: -1, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 87, -121, -329, -537, -745?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 104*o. Let y(r) = -6*r. What is 6*a(m) - 24*y(m)?\nAnswer: 768*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6719 divided by 3?\nAnswer: 6719\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**3 + 28 + 18*s**2 - 12*s**3 + 15*s + 2*s**3 + 20*s + 72. Let b be r(20). Solve b = -3*q + 3*u, u = 4*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8665.96 + 8815. Let c = -149 + a. What is the nearest to 1\/2 in -1\/2, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3674867 to the nearest integer?\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108736625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1459 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -30 (c) -0.4 (d) 4 (e) -11238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5945 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1893192 - 2049838. Let y = f - -6443030. Round y to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 2*o. Let z be r(-2). Suppose 0*l - 3*l + 39 = z. Let s = -7 + l. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**3 + 3*z**2 - 7*z - 58. Let w(i) = i**3 + i**2 - i + 1. Let o(l) = -3*w(l) + x(l). Differentiate o(t) wrt t.\nAnswer: -21*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 6341\/45 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 153*k - 99. Give l(51).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25025, 50047, 75063, 100067, 125053, 150015, 174947, 199843?\nAnswer: 224697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045602 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 20*x**2 - 30*x + 16. Let h be f(18). Suppose h = 2*j + 10. Suppose 0 = -j*p + 60*p. Solve -4*n + 6*n + 6 = p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378523437?\nAnswer: 3, 126174479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y**2 - 299*y + 4374. Let v(m) = -6*m**2 + 147*m - 2187. Let o(d) = -3*c(d) - 5*v(d). Let o(t) = 0. Calculate t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1876 - 9*h + 7170 - 6*h.\nAnswer: -15*h + 5294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/104 and 22\/7629817.\nAnswer: 61038536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14111 (base 5) to base 14\nAnswer: -5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 0*x**2 + 3*x**2)*(3 - 3 - 6*x + (4 + 5 - 5)*(0*x - 3*x + 2*x)).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-384)\/(-80))\/(3\/(-15))*(-21)\/28?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (273\/(-715))\/(27\/(-75)*(-140)\/168)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -3*q - 44 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 544510, 1089002, 1633478, 2177938, 2722382, 3266810, 3811222?\n\"Answer: -8*p**2 + 544516*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -24*l**2 - 11*l. Let v(w) = -46826*w. What is a(v(h))?\nAnswer: -52624182624*h**2 + 515086*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 2356128.\nAnswer: 115450272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 l, and 1 f when three letters picked without replacement from lltfmsllluumtuu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p + 5*h = 0, 16 = 4*h. Suppose -17 = -5*r + u, p*r = 4*u - 0*u + 20. Solve -g - 12 = r*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5730 and 8977?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*y - 1265, 0 = -4*v + 3*y - 2588 + 51. Let c = -717 - v. Which is greater: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1548 and 3294789.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -24.2. What is the fourth biggest value in 1\/9, j, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 480?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = q - 4*l, 3 + 5 = -2*l. Suppose h + q - 39 = 0. Solve -12 = 13*a - h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 13*k**2 + 29*k + 30. Let w be j(15). Find the common denominator of 3 + 646\/(-195) - (-2)\/w and 115\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 1415, 4487, 10263, 19583, 33287, 52215, 77207?\nAnswer: 109103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 12*g + 14 = x, -4*g + 19 = x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 11) to base 4\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-36)*12\/50*(-1095)\/146.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 12. Suppose 0 = -u*s - 14 + 82. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + n. Let x(c) = -18*c**2 + 12*c**2 + 12*c**2. Let d(q) = -3*x(q) + 24*y(q). Find the second derivative of d(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.338 less than 20521?\nAnswer: 20522.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 3, -1786, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 176*o - 85. Is c(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3520*k + 915196. What is d(260)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*p + 336 = -249*p. Let r(j) be the third derivative of 47*j**2 + 0*j + 1\/4*j**5 + 0 + 13\/2*j**3 + 0*j**p. Differentiate r(z) wrt z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2322 = 13*k - 8484. Calculate the remainder when k is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*p**2 - 84*p**2 + 39*p**2)*(-4*p + 2*p**2 + 4*p) - 11 + 11 + p**4.\nAnswer: -217*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 6*d**2 + 7*d + 2. Let q be i(3). Let s be ((-3)\/(-5))\/(578\/q). Sort -0.2, -1\/2, s in increasing order.\nAnswer: -1\/2, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2388451026 to the nearest integer?\nAnswer: 48872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 1, c: 3, h: 3, b: 1, a: 2}. Give prob of picking 1 g, 1 b, 1 a, and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 d when three letters picked without replacement from bxdb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 9275478.49 to the nearest one hundred thousand.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 864 divided by -3\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60 + 2154051?\nAnswer: 2153881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 243972 (base 10) to base 16\nAnswer: 3b904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/12 - 7*g**3\/2 - 39*g**2\/2 - 25*g. Let i be 60\/(-3) + 0 - (-4)\/2. Calculate the remainder when 46 is divided by z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -64. Let s = l - -10. Let t be (4 + -6)\/(1\/s). Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560488025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 11210201?\nAnswer: -11210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 274?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34.1 and -12?\nAnswer: -409.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1713*s + 392*s + 1718*s + 5*s**2 - 3823*s.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16859957.6169 from 18.\nAnswer: -16859939.6169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -28*z + 35. Let s(t) = -t + 1. Let a(n) = -d(n) + 5*s(n). Suppose 6*p - 47 - 55 = 0. Is a(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15487387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/21, -1\/2, 3, -2\/9, 1, -10 in descending order.\nAnswer: 3, 1, 4\/21, -2\/9, -1\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 + 12*h + 32. What are the prime factors of p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2\/5*h**2 + 0 - 6\/5*h = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f + 15 = 0. Let j = 48 - f. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + sqrt(2052) + sqrt(2052)*-2)\/(sqrt(432) + 1*sqrt(432) + sqrt(432) + sqrt(432))*3.\nAnswer: -5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w + 17*w - 54 = -24*w + 4*r, 4*w - r = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, 29.\nAnswer: -10, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -539 + 1425. Let z = m - 590. Is 36 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-2))\/3)\/(4\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((154\/(-21) + 11)\/(2\/6))\/(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/304 and -47\/418.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/70)\/(1\/(-7)). Suppose -2*c + c = -o*a - 9, c + 5*a = 0. Factor 4*r**2 + 3*r**5 + r**c + 12*r**4 + 10*r**3 + 2*r**3.\nAnswer: 4*r**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - c = 344, -12*t + 1336 = -8*t + 4*c. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 3*d + 3*d)*(-3 + 2 - 1) - 999 + 999 + 45*d as c + p*d and give p.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155856669.\nAnswer: 11, 31, 59, 73, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17344*f**2 + f**3 + 8856*f**2 + 8488*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*d - 37*m + 38*m, -5*m + 15*m + 16 = 6*m - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*t - 5, 0*t = -4*j - 5*t - 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/15)\/((-2)\/(-6)). Suppose -33 = -p*x + 9. What is the remainder when 81 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-2) + (27\/18)\/((-6)\/(-44)). Solve 7*o - m = 4*o - 4*z, 0 = -2*z + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 495405 = 5*s, -2*z + 198148 = 4*s + s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/(-213)*1\/(-5)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929015.\nAnswer: 3, 5, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3\/3 + 116. Let a(n) = 48*n. What is a(y(w))?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -212, -215, -218, -221?\n\"Answer: -3*y - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 733 + 733. Let t(r) = 4*r**3 - 11*r + 4*r - 6*r**3 + r**2. Determine 5*c(v) - t(v).\nAnswer: 2*v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/39 - (-10508)\/(-962).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1120 and 952.\nAnswer: 19040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35912223 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r - 165. Let g be x(-12). Which is the closest to -1? (a) -3 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8556938.9 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 13, 26, 53, 100, 173?\n\"Answer: c**3 - 2*c**2 + 4*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 8*j**2 + 9*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + x**5 + (2*x**3 - 2*x**3 + x**3)*(-3*x**2 + 2*x**2 + 3*x**2) + 2*x**4 + 2*x**5 - 2*x**4 + (-2*x**2 + x**2 - 5*x**2)*(-2*x**3 + x**3 - x**3).\nAnswer: 17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 + -0.19. Let z be 70\/30*3 - 10. Sort t, z, 4.\nAnswer: z, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - 8*l)*(-2 + 1 + 5)*(-4*l - 2*l + 4*l + (4*l - 4*l + l)*(-5 + 1 + 5))*(-l**2 + l**2 + l**2).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 66*a**5\/5 - 26*a + 25. What is the derivative of n(g) wrt g?\nAnswer: 264*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let p(f) = -221*f + 51. Let v(h) = -22*h + 5. Let u(a) = 5*p(a) - 51*v(a). What is -u(s) - 3*z(s)?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) 9 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/131950 and 67\/1015.\nAnswer: 131950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3))**(-49))**(10\/3)\/((s\/(s\/(s**(1\/4)*s)*s))**(-11\/8))**(-6\/5) assuming s is positive.\nAnswer: s**(39167\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -612 - -55?\nAnswer: -58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1475 + 1474.95. What is the closest to 2 in -15, 0, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -24.31\nAnswer: -9.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2, 3.4, -5, -3\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48405)\/(-4610)*10\/(-3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Let f(k) = k**3 - k**2 - k - 2. What is f(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36326, 72639, 108952, 145265, 181578?\n\"Answer: 36313*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -6*v + 190. Calculate the remainder when 393 is divided by v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 + 28*m**4 - 222*m**3 + 364*m**2 - 169*m.\nAnswer: -m*(m - 13)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 145. Suppose -4*g - 6 = -2*r, u = 3*r - 2*g - 3*g. Suppose -4*c + 21 = 1. Calculate the remainder when r is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqxqbxxmb. Give prob of sequence mqmx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -74. Suppose 3*r - 23 = -5*q + q, f*q - 15 = 0. Let g = -50 - -448\/9. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 911*z**3 - 3*z**2 - 38?\nAnswer: 5466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11273 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 7\/2 (b) 63 (c) 1\/8 (d) 1\/4 (e) 5 (f) -1\/5 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 - l**3 + 24491*l**2 - 317*l + 192 wrt l?\nAnswer: -24*l**2 - 6*l + 48982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53 - 22 + 27)*(-2*g**2 - 1 + 1) to o + w*g**2 + x*g and give w.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 287, 293, 299, 305, 311?\n\"Answer: 6*w + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 + 118*f**4 - 239*f**3 + 120*f**2 = 0. What is f?\nAnswer: -120, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136\/3 + -46. Let z = -0.2 - -0.6. Which is the closest to l? (a) z (b) -0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -4. Suppose -f - 3 = -r. What is the derivative of -6*n - 3 + 7*n**3 + 2*n + f*n wrt n?\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273259?\nAnswer: 13, 97943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13*437\/1196*(-28)\/147 - (-10)\/(-105)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*f + 6. Let x(q) = 6*q**2 + 2*q + 3. Let d = 155 - 142. Calculate the remainder when x(f) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**3 - w**2 - 45*w - 17. Let x be i(-7). Let g = x - 123. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Solve -z + 3*x = 4*x + 1, z - 11 = v*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 39 + 115 = 0. Let z = t + -96. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 8621 (b) -3 (c) 2\/3 (d) -5 (e) 1 (f) -4 (g) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267*b*y**3 - 401*b*y**2 + 2*y**4 + 2 wrt y.\nAnswer: -1602*b + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000026701852 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/4 + 207*y - 48057\/4 = 0.\nAnswer: 83, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 + 2 - 3*r**2 + 2*r**2 + 2*r**2 + 4*r. What are the prime factors of a(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(134\/34 - 4). Let a = 81 - v. What is the greatest common divisor of a and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -584599, -2338396, -5261391, -9353584, -14614975?\n\"Answer: -584599*g**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.85927 litres to millilitres.\nAnswer: 66859.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -327 >= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 115.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26130000 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let l = -2\/51 - 8\/85. What is the closest to -1\/3 in r, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-357)\/714*(-5)\/(2\/(-2)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 12*h**2 - 14*h + 2. Let l be j(11). Let k = 30 - l. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -5*q**3\/6 + 3*q**2\/2 - 3*q. Let h(w) = -2*w + 1. Let f = 8096 + -8085. Calculate f*h(b) - 4*z(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/15 - 1496*u**2\/3 + 14954*u\/15 - 2492\/5.\nAnswer: 2*(u - 3738)*(u - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*n - 31. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 - 0.52. Let t = -15684.62019 - -15685. Let j = q + t. What is j rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.8, 1, -5.602, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1839 + 5*o**2 - 2*o**2 - o**2 + 2671.\nAnswer: 2*o**2 + 832","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 8 - (-1 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4505 is divided by 1385.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -42\/11 in increasing order.\nAnswer: -42\/11, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/6 - -4\/3. Let r be 47\/(-60) - 4\/(-16). Let m = r - -1\/30. Which is smaller: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2210 - -5.6.\nAnswer: -2204.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6225 smaller than 155601\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 511 + 971. Suppose -37*a = -43*a + m. List the prime factors of a.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2556335 and -3.7.\nAnswer: -2556338.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4135 + 10578. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 478 = -110*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 36 - (145 - 212).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0484, 1, -34\/31, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5, -o - 4 = -4*l - l. Let k = -3.08 + 0.08. What is the nearest to l in k, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - i - 2 - 2 = 0, -5*i = -4*p - 1. Let y be 138 - (-2 + 4\/p). Calculate the greatest common divisor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 155*y**2 + 4*y + 3. What is q(-1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 0.649.\nAnswer: 0.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433991 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: Put 31, 4, -5, 0 in decreasing order.\nAnswer: 31, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86234 and 822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*d = -98*d - 130 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5956560, -5956563, -5956568, -5956575?\nAnswer: -5956584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 6, -3*t - 965 - 763 = -2*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10589297\/13 at most as big as -814560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.002 - 0.998. Let y = -1 + 0.5. Let f = -0.1 - 0. Which is the closest to p? (a) f (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 3:00 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 39 = -d, -2*d + 48 = 4*s + 6. Solve 6*p + 2 + s = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - 7.04. Let z = 6.6 + d. Is z >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -133, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 - 3. Let u(y) be the third derivative of 31*y**4\/12 + 2679*y**2. Determine k(u(r)).\nAnswer: 26908*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*r - 2180*g**3*r**3 + 13*g*r**2 - 6*r**3 - 2*r**2 - 5 wrt g?\nAnswer: 12*g**2*r - 13080*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2. Let o(x) be the second derivative of -x**5\/20 - x**2\/2 + 3*x. Let c(g) be the first derivative of o(g). Calculate c(y(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -3. Suppose 1 = -x*u - 8. Sort u, 5, -4 in ascending order.\nAnswer: -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14224791 or -14224789?\nAnswer: -14224791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10732 divided by 127?\nAnswer: 10732\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159 + 2?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 2951632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 0.72, -12, 3, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -35*w - 10. Suppose 2*t - 10*r + 27 = -13*r, 2*r = 2*t - 8. Calculate f(t).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2144232003 (base 5) to base 3.\nAnswer: -22210210002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:17 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/(-5) - 33\/55. Let y = 9 + b. Solve -7*f**4 + y*f**2 + f**2 + 10*f**4 - 4*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 3*s - 58. What is the hundreds digit of w(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1037 + -1028. Let w(a) = -a**2 - 30*a - 47. Let u be w(-28). Calculate the highest common factor of k and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 198 + 477. Let r = d + -76. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 4*3\/6. Suppose 0 = 4*c - 3*q + 2*q + 44, -22 = 2*c + q. Sort 5, c, k.\nAnswer: c, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 43*s**3. Let o(l) = -l**3. What is -f(j) - 5*o(j)?\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from aaaapapppapppapp.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 658*u - 2940 + 2\/5*u**3 - 152\/5*u**2.\nAnswer: 2*(u - 35)**2*(u - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 < 1258\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-11)*n**(-4\/7)\/n)**(2\/5)*(n**(-3\/5)\/(n\/(n\/n**(-1\/14))))**(-13\/4) assuming n is positive.\nAnswer: n**(1761\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*k**(2\/25)*k*k)\/k)\/(k\/k**(-1\/3)))**49\/((k\/(k\/(k*k**0)*k))**(2\/59))**(29\/5) assuming k is positive.\nAnswer: k**(10094\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68435 and 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 113037?\nAnswer: -1\/113037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -119187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-1539)\/309 - -5). Is r smaller than -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 147?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 79 + -63 + 6 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i - 31*i + 12*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m - 6. Let u(f) = -f + 14. Let l be u(8). What is the remainder when b(l) is divided by (-26)\/(-4)*(2 + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l + 43 - 45 + 11*l.\nAnswer: 29*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/12*(-30)\/4. Let g = h + -7. Suppose -3*b = -g*t - 21, t + 12 + 15 = 3*b. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.2 + -4. Suppose 3*k = 2*x + 5, -3*k - 5*x = -0*x + 2. What is the third smallest value in u, -4, k, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/2586 and -97\/200415.\nAnswer: 400830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(4*t**2 + 4*t**2 + 18*t**2)*(9 - 53 - 5).\nAnswer: -1274*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4639 = -111*w + 4597 + 9412. Let s be ((-24)\/10)\/((-2)\/115). Suppose -s = -i - 2*i + d, -w = -4*i - 4*d. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 1, -0.16 in descending order.\nAnswer: 5\/2, 1, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.4 + -13. Let g = 1213 - 1213.05. What is the closest to -0.1 in g, k, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9 = -3*p - 0, -2*p + 6 = -l. Suppose 0 = -2*o + 6*o - 4, -p*a + o = -29. Solve -38*d + 43*d = a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 85, 305, 665, 1159, 1781, 2525, 3385, 4355?\n\"Answer: -h**3 + 76*h**2 - h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17048257*c*i + 547*c + 604 wrt i?\nAnswer: -17048257*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 172*t.\nAnswer: 4*t*(t + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2297135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**5 - 33884392*u**3 - 2*u**2 - 656211*u + 41 wrt u.\nAnswer: -60*u**2 - 203306352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 220702.9 rounded to the nearest 1000?\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 3*y - 1. Let l(u) = -u - 2. Let j be l(-6). Let w be b(j). Suppose 0 = -w*x + 117 + 156. Calculate the highest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-2 - -1)*27\/((-486)\/(-6))). Factor -2\/13*u**4 - 54\/13*u + 0 + 18\/13*u**2 + 6\/13*u**c.\nAnswer: -2*u*(u - 3)**2*(u + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 26.671036.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from {r: 2, d: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1578236241 - -2?\nAnswer: -1578236238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 20, 3 in descending order.\nAnswer: 20, 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*u + 5*a, -4*u + 12*a - 10*a + 12 = 0. Let g be 3 - u - (-4)\/(-4). Is 13\/35 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8308 and -1?\nAnswer: -8308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 18*p = 10*p + 5*p - 8, -5*v + 95 = -20*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -180*l**2 - 8220*l - 93845 = 0.\nAnswer: -137\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 15) to base 8\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42\/17 or 47\/2?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c**2. Let h(t) = -70*t + 28. Let q(i) = 1196*i - 483. Let d(b) = 69*h(b) + 4*q(b). Determine x(d(g)).\nAnswer: 31740*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106413041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100101 (base 2) in base 9?\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*v = -51*v - 111. Which is the third biggest value? (a) -0.3 (b) v (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9434 * 2\nAnswer: -18868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401300.\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 36 = 108 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 4*d**2 - 5*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-51)\/(-34))\/(6\/(-8)). Sort 5, c, -4, 3 in decreasing order.\nAnswer: 5, 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:00 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 b when three letters picked without replacement from {v: 1, s: 1, t: 10, h: 2, b: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -8 + (-8 - 2) + 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97788*s**2 + 195576*s**2 - 97790*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186832075, -373664173, -560496269, -747328363, -934160455, -1120992545?\nAnswer: -1307824633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 7*c + 9. Let t be p(7). Suppose 6 = 3*i, -3*h = 3*i + 2*i - 199. Calculate the greatest common factor of h and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 + 33669*d**4 - 3*d**2 - 33672*d**4 + 7*d to the form j*d**3 + m*d + h*d**2 + i + p*d**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30792 - 30807 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 2. Let s be b(3). Let i be s\/6 - (-4)\/(-6) - -78. Suppose -x + 130 = 5*k - 5*x, -3*k + i = 2*x. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*t + 100977 = 6*j, 4*j + 5*t = 80792. What are the prime factors of j?\nAnswer: 3, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 104. Let z = -1.63 + 2.13. Which is the second smallest value? (a) z (b) -3\/23 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 18, 1, -2 in descending order.\nAnswer: 18, 1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82.93 + 0.93. Let q = x - -81.5. What is the closest to -1 in 1\/3, q, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.54 - -28.54. Let x = -10 + i. Suppose -114 = 9*n - 105. Which is the second biggest value? (a) -0.1 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 1. Let q(v) = 2*v + 12. Let y(m) = 4*m + 17. Let w(g) = 3*q(g) - 2*y(g). Give 6*k(u) + 4*w(u).\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18.0660321ms?\nAnswer: 0.00000020909759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 + 3 + 4*d**2 + 0*d**2 + 3*d**2. Let a be n(0). Solve 2*f = -a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, 94, -1.\nAnswer: -1, -0.4, 5, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163566528*r**2*v**4 + 1615*r**2*v**2 - 69*r**2*v + r**2 + 10*r*v**2 + v**2 wrt v.\nAnswer: -3925596672*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*o + 90. Suppose 4*i - o = 2*a, 4*a - 9 = -3*i - 1. Let m = 0.17294 - 0.07294. What is the second biggest value in a, m, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:36 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -27*u**3 - 29*u**2 - 2*u = 0.\nAnswer: -1, -2\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.11 and -54.3264011?\nAnswer: 54.4364011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -38973?\nAnswer: -38977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 334641741 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16544097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Let r = -1 - -5. Suppose -5 = -f, m*z - r*f + 7*f = 39. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/21))\/(f*f**(1\/3)))**(-36\/11)*(f**(-2\/15)\/(f**(-1\/3)\/f*f))**(4\/19) assuming f is positive.\nAnswer: f**(10568\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 + (2 + -6 - -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 915\/7. Let x = -0.03 - -9.53. Let m = 9 - x. Which is the second biggest value? (a) m (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -230 - -3?\nAnswer: -22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1134 - -1171. Calculate the remainder when f is divided by -3 - -6 - 5 - -24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*c**2 + 2282*c + 858.\nAnswer: -2*(c - 143)*(8*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 20*u = -605. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487763761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**5 + 3*w**5 - 2*w**5)*(-5 + 1 + 3) + (-6*w**2 + 6*w**2 + 10*w**2)*(-4*w - w**3 + 4*w).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 + (-5 - -4) + 10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 7, v: 8, r: 5}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*w - 21, -c = -4*w - 14 - 9. Let p be (20 - (-1 + c))\/(12\/112). What is the greatest common factor of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 547932*b + 4*b**4 - 3 + 5*b**2 - b**4 + 5*b**3 - 2*b**4 - 547929*b to v*b + r*b**3 + i*b**4 + g + x*b**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50\/35*(-28)\/(-48)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - 3*s**2 + 3*s**4 + s**4 - 2*s - 5*s**4 as t + q*s**2 + v*s**3 + f*s + r*s**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 8 = 12*p, 0 = 4*f + 2*p - 12. What is the smallest value in -404, -1, -0.2, 0.1, f?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.021, 0.5, 1, 3, -10 in descending order.\nAnswer: 4, 3, 1, 0.5, 0.021, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by 1050580.\nAnswer: -13\/105058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/17)\/n)\/(n\/((n\/(n\/(n**(-2)*n)))\/n)))\/(n**6*n*n**4) assuming n is positive.\nAnswer: n**(-257\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/54, -2\/89, -18, 1, -2\/7 in decreasing order.\nAnswer: 1, -1\/54, -2\/89, -2\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -428 - 181. Let v = w + 84. Which is the fourth smallest value? (a) v (b) 5 (c) -1\/9 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -12 - 14 + 26*j + 13*j + 2*j. Let m be r(11). Suppose -2*v + z + 421 = 2*v, 4*v = 5*z + m. Does 35 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 21. Suppose -4*t + j = -0*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2))**(-38)\/((j*j*j\/j**(-12))\/((j*j**8)\/j)))**(1\/61) assuming j is positive.\nAnswer: j**(31\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-2 + sqrt(4)\/sqrt(32))**2.\nAnswer: 7569\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 3. Suppose 0 = -17*k - 28 + 130. Determine r(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 213.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2243, -2234, -2225, -2216, -2207?\n\"Answer: 9*j - 2252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -34. Find the common denominator of (-15 - -2)*m\/(-60) and -125\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*t**2 + 8*t - 39 - 27 + 63 as n*t + j + l*t**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*m + 9 = 0, -z + 6*m - 34 = -3 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 752246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5694?\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 23 + 19)*(-2*w - 2*w + w) - w + 0*w + 2*w - 4*w - w - w.\nAnswer: -50*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480874073 to the power of 1\/2, to the nearest integer?\nAnswer: 58999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 323+1.9\nAnswer: 324.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:30 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75925 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, v: 4, h: 6}. What is prob of picking 2 h and 2 v?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = s + 2*f, -s - 4*f + f = -24. Solve 20*g - 26*g - s = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000752 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.106 - -0.076. Let l = 2384\/717 + 2\/239. Let b = -31\/9 + l. Sort 0.5, z, 0.1, b in descending order.\nAnswer: 0.5, 0.1, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -81108\nAnswer: 1216620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14.626785 nanoseconds?\nAnswer: 0.00000000024377975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5140\/9 - 571. Which is the closest to h? (a) -4 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36131041 rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2 times -5?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -4\/5*b**5 + 4*b**4 + 0*b - 20\/3*b**3 + 4*b**2 + 3. Factor d(t).\nAnswer: -4*t*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -184*r - 838. Calculate the remainder when n(-9) is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 506341761 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/8 + 14*v**3\/3 - 53*v**2\/4 + 13*v - 929. Factor m(j).\nAnswer: -(j - 26)*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00149111786 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(30\/9)*(-22)\/(-33)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**9)\/(q*q*q**(2\/5))*q**7*q\/(q*q**(-9)*q)*(q**(-1\/3))**(3\/31)\/((q*(q**(2\/7)*q*q*q*q)\/q)\/(q*q**(-1\/6))) assuming q is positive.\nAnswer: q**(7261\/6510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (702*k**2 + 261*k**2 - 224*k**2)*(3*k - 5*k + 3*k)*(1 + 1 - 3).\nAnswer: -739*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 5\/2*u**2 - 1\/4*u**4 - 10*u - 11\/3*u**3 + 7. What is the tens digit of l(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66870 + -1?\nAnswer: -66871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:58 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 48829\nAnswer: 52\/48829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2. Let y(l) = 2*l - 7*l - 7*l + 0*l. What is y(c(u))?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -26*f**3 - 9*f**2 + 16*f + 142. Is o(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, x: 9, l: 2}. Give prob of picking 1 f and 1 x.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 447414\/154 - (-6)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 31 - 17. Factor -2\/5*c**3 + 4\/5*c**4 + 0 - 2\/5*c**5 + 0*c + 0*c**j.\nAnswer: -2*c**3*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let z(j) = 4*j. Let s(p) = -3*l(p) - z(p). Let w(x) = x - 1. Let q be w(3). Let g(y) = -2*y**2 + 2*y - 2. Determine q*s(o) + g(o).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**5\/70 - a**4\/21 - a**3\/21 + 2*a**2\/7 - 6*a. Factor h(d).\nAnswer: 2*(d - 2)*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-504)\/(-180)*(-35)\/(-49). Solve 2*f - 4 = -2*x, i*f = 2*x + 9 - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z. Let l(a) = 3*a. Let b(k) = k**2 + 13*k + 1. Let i be b(-12). Let n(d) = i*l(d) + 2*x(d). Let r(p) = -3*p. Give r(n(o)).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 71.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2132 - -563. Suppose 6*o - x = 2663. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3558387 (base 9) to base 10\nAnswer: -1928527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4 - (0 + ((-24)\/16)\/3)*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1\/4, 2.2, -3, -119, -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.7 - -27.5. Let c = 3.93 - 4. Is c less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -3, -2, -86 in decreasing order.\nAnswer: 6, -2, -3, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.2 + -11.2. Let b = -130 + 129.8. What is the second biggest value in -1\/4, a, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -2\/15, 0.5, 5, 3027\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 0.530451856.\nAnswer: 0.830451856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -39\/8475707?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.22667776 to 2 decimal places.\nAnswer: -18.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4714 + -0.02\nAnswer: 4713.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 4*w. Let c(x) = -x**2 - 6*x - 16. Let l(n) = 2*n**2 + 11*n + 28. Let m(i) = 7*c(i) + 4*l(i). Determine -3*b(y) + 5*m(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4182\/(-459))\/(172\/774)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a factor of 243216204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47140 and 1780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 524 = -542 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 8*k**2 + 13*k. Let u be h(9). Suppose u = s - 2*s. What is the tens digit of (s\/(-15))\/(2\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 35*n**2 + 68*n + 72. Let q be z(-33). Calculate the highest common factor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:36 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57468184 to the power of 1\/2, to the nearest integer?\nAnswer: 7581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8353996 divided by -82?\nAnswer: -101878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 = -17*m + 11*m. Let p = m - 115. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 1. Let s(y) = -2*y**2 + 4*y + 8. Let k(i) = 4*c(i) + s(i). Let g be k(4). Find the second derivative of 16*t**4 - 18*t**g + 16*t + 15*t**4 wrt t.\nAnswer: 156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9*z**2 + 26*z - 22. Let p(g) = -2*g**2 + 5*g - 4. Let y(n) = 11*p(n) - 2*q(n). Let l(r) = r. Calculate l(y(t)).\nAnswer: -4*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 662 divide 11583291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 23, 59, 111, 179?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 3*n + 4*n + (-2 - 1 + 2)*(2 - 2 + n) - 9*n + 30*n + 10*n as m + c*n and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - ((-6 - (14 - -1)) + -18)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + s + 3*s - 102, 4*l + 5*s + 136 = 0. Is l >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a**2 - 52*a + 52. Let h(p) be the first derivative of -p**2\/2 + p + 199. Determine 52*h(x) - o(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:59 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -2*a**3\/3 - 37*a**2\/2 - 56*a + 185. Let g be v(-17). Sort g, 0, -3, 4 in decreasing order.\nAnswer: 4, 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 382 - 336 - l - l**2.\nAnswer: 2*l**2 - l - 718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + 0*u)*(2*u - 6*u + 2*u)*(-1 + 3 + 1).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 225047518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t**4 - 163*t**3 - 5*t**2 + 0 + 85*t**3 + 1 + 80*t**3 as o*t**3 + c*t**4 + m*t + a + i*t**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. What is the tens digit of 1136\/44 + n\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:54 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 5*p - 4. Let q(s) = s - 1. Let r(l) = -5*q(l) + v(l). What is the first derivative of r(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820 - 670 = -15*n. Let m(o) = 6*o**3 + 11*o**2 - 4*o**3 + 8*o - 12 - o**3. Let l be m(n). Calculate the highest common divisor of 12 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/7548850 and -133\/545700.\nAnswer: 45293100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 16112*j.\nAnswer: -4*j*(j + 4028)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - o + 4414, -5*j + 4740 = o - 2618. Suppose -j = -5*n - 357. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(-33)*6*(-27)\/120. Let y(s) be the second derivative of 0*s**4 + 10*s + 0 + 1\/10*s**6 + 0*s**2 - i*s**5 + 0*s**3. Factor y(c).\nAnswer: 3*c**3*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 18. Let m be n(-13). Calculate the common denominator of 47\/(-18) - m*(-4)\/(-96) and 91\/118.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/6)\/((((k*k**(-11)*k)\/k)\/k)\/k)*(k\/(k\/(k\/(k\/(k**(-3)\/k))*k))*k*k)\/k*k**6 assuming k is positive.\nAnswer: k**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -288060.\nAnswer: -288063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(3\/(-15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627456 divided by 156864.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let r be j(4). Let x = 1.978 + 0.022. Which is the nearest to r? (a) 2\/5 (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184637 or 184627?\nAnswer: 184627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 - 1.86. Let a = i + -4.04. Let s = a + 4.1. What is the nearest to s in 4\/7, -2\/13, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (97495\/(-26350))\/((-370)\/175)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0608 rounded to 3 decimal places?\nAnswer: -7.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 2:55 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -29.991.\nAnswer: -30.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 586156246.4 rounded to the nearest 1000000?\nAnswer: 586000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 335.\nAnswer: 3\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.729998564 - 8.73. What is u rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 0.8767, 17, 9, 0.4 in descending order.\nAnswer: 17, 9, 1, 0.8767, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 93*i - 189. Determine c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(300) + -1)*-1.\nAnswer: -10*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -3\/2*l**2 - 2*l - 1\/3*l**3 - 42. What is q(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-10 + 8 - 4 - -3 - -11 - 32)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147381 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 551727 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7992 = 5*a - 2*r, -10*r + 1584 = a - 14*r. Is a a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -7.66772, -0.5, -0.014 in descending order.\nAnswer: -0.014, -0.1, -0.5, -7.66772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 10*t - 37. Let v be i(13). Suppose -2*g + 70 = 5*p, -4*p - 17*g + 13*g + 56 = 0. Solve 5*h = h - 4*m + 12, v*h + 4*m = p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 55326?\nAnswer: -55326.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4233 - -0.0628.\nAnswer: -4232.9372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2485*l + 1148*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4 + 4*j**3\/3 - 2*j**2 - 4*j + 4. What is c in q(c) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*j**2 - 2 - 4*j - 10*j**2 + 2 to k*j**2 + n + x*j and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.70265 milliseconds to nanoseconds.\nAnswer: 89702650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 3. Let q = -1 + 3. Let x be m(q). Suppose -40*c + 54 = -31*c. Solve -c = 3*l, 4*g + x*l = 1 + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 10. Let k be (-44)\/10 + 2\/n. Find the common denominator of -2 + 61*k\/(-8) and -3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347\/5 - 70. Let x = -76 - -80. Which is the closest to r? (a) -2 (b) -3\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131918885 divided by 26383777\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + y**3 - y**3)*(1 + 4 - 4)*(y + 1 - 1)*(706 - 25*y - 706).\nAnswer: -25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - k - 3 = 0, -43*k - 14 = -4*p - 49*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.74 + 0.41. Let u = -1.1453 + r. What is u rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/6539 and -5\/1509?\nAnswer: 19617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*k, -3*t - 59 = -5*t + 5*k. Calculate the smallest common multiple of 26 and t.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y**2. Suppose -180 = -25*t + 208 + 312. Let o(n) be the first derivative of -t + 0*n + 1\/2*n**2. Determine l(o(r)).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (349\/2094)\/(2\/396*3*-9).\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -0.2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28396*a**3 - 28438*a**3 + 85234*a**3 - 28380*a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71\/3 + -2053\/87. Are 1 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 181*r**3 + 1461*r**2 - 3325*r - 722 = 0 for r.\nAnswer: -19, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 749, 1900, 3443, 5372, 7681, 10364, 13415, 16828?\nAnswer: 20597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 1325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/20)\/((84\/(-5))\/(-6))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/9 + 40*t**3\/9 - 10*t**2 - 40*t\/9 + 88\/9 = 0?\nAnswer: -22, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 5:48 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + -0.7. Let l = m + 2.4. Which is the closest to -1? (a) l (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1057 and 186485.\nAnswer: 1305395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + 1*sqrt(2592) - (sqrt(198)\/sqrt(44) - sqrt(18)))*-2)\/(1*-5*sqrt(36)\/sqrt(4)*-3).\nAnswer: -9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6715 + 2147 = -8*j. What is the remainder when j is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7991 divided by 11?\nAnswer: -7991\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*h - 5*l, -5*h - 11*l + 8*l = -28. Suppose 5*o - 19 = 2*k - 1, -o = 4*k - h. Solve 0 = 4*x - 9*x - w + 12, o = 4*x - 2*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123*v + 640 with respect to v.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -42) + -1 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (1185\/9)\/5. Let g = q - -25. What is the second smallest value in 0, g, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**4 + 10*u**3 + 9*u**2 - 4. Let y(i) = -10*i**3 - 10*i**2 + 5. Let w(o) = 5*p(o) + 4*y(o). What is v in w(v) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128.939 + 129. Let o = q - 4.061. Put 4, 1\/6, o, -12 in ascending order.\nAnswer: -12, o, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6115?\nAnswer: 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 99*r**2 - 23*r + 39. Let g(h) = -49*h**2 + 10*h - 18. Give -9*g(v) - 4*w(v).\nAnswer: 45*v**2 + 2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 294315 = b, 5*b - t + 321674 = 1793227. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**3 - 3205*l**2 - 497120*l + 1007100 = 0?\nAnswer: -373, -270, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 18*t - 8 = 0. What is the closest to -1 in 4\/9, t, 1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 1077317.\nAnswer: -11\/1077317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-20))\/((-1)\/(-524)). Suppose 0 = -b - d + 411. Calculate the greatest common divisor of 126 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.6 + 5.5. What is the nearest to 0 in h, 6, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5\/5 + 13760*y**4 + 2334276*y**3\/5 - 5150232*y**2\/5 - 7415712*y\/5 = 0. Calculate y.\nAnswer: -17166, -36, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.2 - 32. Let b = k - 2.2. What is the biggest value in b, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3462 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**3 - b**2 - 7*b + 8. Let v be m(2). Suppose -2*h = -4*y - 1528, h + v - 800 = -y. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 27245.43 to the nearest ten.\nAnswer: 27250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/408 and 1\/96?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3205312876.987 + -150.\nAnswer: -3205313026.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99719622 to the power of 1\/3, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 - 25 - 97*v**2 + 677*v**2 + 732*v + 293*v**2 - 12*v**4 + 55 + 180*v**3 = 0.\nAnswer: -3, -1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15697504.\nAnswer: 2, 227, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3 + sqrt(1573) + -3 + sqrt(1573) + sqrt(1573) - sqrt(1573) - (sqrt(1573)*-3 + 3)) + -1)**2.\nAnswer: -1100*sqrt(13) + 39429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -2072661126821.\nAnswer: -2072661126820.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2551*b**2 - 3600*b wrt b?\nAnswer: 5102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2101 + 2080 + (8 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-5 - -5 - 7) + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 2, j: 2}. Give prob of picking 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3456 - 3458. Let u be 24\/(-50) - 6\/(-15). Which is the third smallest value? (a) 0 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2027 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19205 = 27028*x - 26193*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-243813928)\/(-912) - 7\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 1, t: 1, f: 1, n: 2, e: 1}. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d = -44. Let p = d - 6. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 6*c + 4. Let n be r(-6). Let u = 26\/5 - 27\/5. Let p = -7 - -7.3. Put p, u, n in ascending order.\nAnswer: u, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:11 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1198 + -3656\/3. Let g = -19 - p. What is the nearest to 0.1 in 0.5, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76654 divided by -3?\nAnswer: 76654\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-2 + 7)) + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 6*l**2 + 5*l + 6. Suppose -6*d = -d - 25. List the prime factors of x(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236320 - -236332.6487. Let h = -13.1 + w. Let k = h + 0.46. Round k to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 3:02 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1068\/7 + -2129\/14. What is the biggest value in 0.9, 7, k?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(7)*-1 + -2) + 3)*6.\nAnswer: -12*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 228953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 484, 521, 594, 715, 896, 1149, 1486?\nAnswer: 1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1033*w**2*z + 187*w**2 + 2*w wrt z?\nAnswer: 1033*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v - 6. Suppose -4*j = 4 + 12. Is 10 a factor of g(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69005*m - o = 69001*m + 2, 4*m - 128 = 7*o - 27*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -8\/3 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c = 161 + 105 - 191 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1981821 micrograms?\nAnswer: 0.0001981821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7007, -56074, -189263, -448634, -876247?\n\"Answer: -7010*f**3 - f**2 + 6*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s + 22. Let l(m) = -3*m - 12. Determine 2*a(w) + 5*l(w).\nAnswer: -w - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6*-10*616\/(-20). Calculate the highest common factor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 divided by -17?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -326, -135338, -2\/17?\nAnswer: -135338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d + 6 = -5*y, 4*y - 5*d - 10 = 0. Suppose n + y = 3. Let t = 0.1 + -0.2. Which is the second smallest value? (a) 3\/2 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by -750?\nAnswer: 41\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(-12*15\/(-1215))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22970630 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 the remainder when 28484942 is divided by 378?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18012528840 rounded to the nearest 100000?\nAnswer: -18012500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9514 - 9044. Which is smaller: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/4 + 1)*-6. Let q = -28 - d. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69*q**3 + 107*q**3 + 192*q**3 + (-5*q**2 + 2*q**2 + 5*q**2)*(2*q + 0*q + 0*q) - 3*q**3 - 1 + 1.\nAnswer: 369*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30176 divided by -3772?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/(-120) + (-134)\/16. Let z be (-9)\/((-36)\/f) + 9\/4. Let a = 7 - 12. Sort z, a, -1\/7.\nAnswer: a, -1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -612222797914 and -19.\nAnswer: -612222797933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 75. Let x = -452 + 426. Let y be p(x). Solve -8*r + y = -9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 23\/5 - (6\/10 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.1. Let m be 156\/(-38) + (-25 - -29). Let o = -0.048 + -4.952. What is the second biggest value in o, m, j, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 = 10. Suppose 8 = r - i. Suppose 0 = -t + r - 1. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3 - 1. Suppose d + 18 = -o*p - 30, 3*d + 2*p + 124 = 0. Let x = d - -128. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 82.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3431?\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6920 - -7072. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 35 = 5. Let n(u) = -u**2 + 7*u + 6. Calculate the lowest common multiple of t and n(5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(245))**2 - sqrt(245) - sqrt(25)\/(sqrt(5)*-1 - sqrt(5)).\nAnswer: -13*sqrt(5)\/2 + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -52*h + 28*h - 83*h - 87. Is l(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -535*l**4\/2 - 2981*l**2 + 1970. Find the second derivative of u(k) wrt k.\nAnswer: -6420*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + 122?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 15 = 11*a. Let s = -14 - -22. Suppose -3*m + s*m = 0. Solve m = -r - a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -2)*(8\/9 + 9\/81). Let n(z) = 5 - 3 + z**2 + 2. Give n(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by -3.\nAnswer: -106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 347428850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 17. Let o = -0.032 + -0.068. Suppose 23*v - 6 = 25*v. Put f, v, 0, o in decreasing order.\nAnswer: 0, o, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/31, -3, -60, -6, 2, 0.3.\nAnswer: -60, -6, -3, 6\/31, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 6578?\nAnswer: 6578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9256789 kilograms to milligrams.\nAnswer: 925678.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342, -2, 15, 8, 1 in decreasing order.\nAnswer: 342, 15, 8, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237436 is divided by 1626?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.114 or -1\/1178?\nAnswer: 4.114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 178727080 - 11?\nAnswer: 178727068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 6. Suppose j*q - 32 = 2*q. Find the third derivative of 4*n**4 + n**4 - 6*n**2 + q*n**2 wrt n.\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -279, 4, 3, 24.\nAnswer: -279, 3, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.41 + -0.01. Let r = -366 - -1463\/4. What is the third biggest value in -8, -4, r, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84311, 85159, 86007, 86855?\n\"Answer: 848*y + 83463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 10*i**2 - 5*i + 6*i**2 - 24*i**2 + 3*i + 25*i**2 as u*i**2 + h*i + d and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93911\/135 + 6454\/27. Let l = q + 9577\/20. What is the common denominator of l and -47\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -55895.\nAnswer: -1\/7985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -336729, 4\/3, -1\/4, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 198*x + 614. Let v be z(-3). Put -2\/15, -16, 5, v in decreasing order.\nAnswer: v, 5, -2\/15, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-41070)\/(-3) + 0 + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22635771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d - 1. Let o(c) = -13*c + 12. Let v(n) = o(n) + 2*t(n). Suppose 0 = 5*z - 4*b + 9, -27 - 1 = 4*z + 2*b. Calculate v(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/140*76\/(-38)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 789*s + 2930*s + 2086*s - 416*s - 30*s to p*s + u and give p.\nAnswer: 5359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -35. Let i be ((-51)\/15 + q)*15\/21. Which is the smallest value? (a) 3 (b) -3\/7 (c) i (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*x + 3*c, -5*x = 2*c - 12 - 13. Suppose -x*n - 8 = -5*n. What is the third derivative of -s**2 - 10*s**4 - 8*s**2 - 7*s**2 + 12*s**n wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**3 + a**2 - a. Let c be b(1). Let s = 5 - c. Let n(g) = 2*g - 2 + 1 + 3*g. Give n(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*c + 1, 2*g + 0*c - 5*c + 11 = 0. Let v be -2 + (-4 + 2 - -4). Solve v = -g*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49201992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 5*w**4\/4 - 6*w - 1. What is the first derivative of x(u) wrt u?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4184 + -4183.8. Let b(r) = -r - 7. Let j be b(9). Let t = j + 14. What is the third biggest value in -16, t, u?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 - ((-5 - 0) + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 152*b + 5 - 330*b + 178*b in the form a + o*b**2 + i*b and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2151*q**4*r + 2*q**2*r**3 - 54*q**2*r - 517*q*r**3 + 9*q*r - 33 wrt q?\nAnswer: -25812*q**2*r + 4*r**3 - 108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/10176 and -103\/26240?\nAnswer: 4172160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 69413282?\nAnswer: 69413281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151795 = -5*i + 6310. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 9*i - 5*i. Solve 3*a = i - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4182 by 102.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 0 - (-9 + 5). Let c(j) = 0*j + 11*j**3 - p + 7*j - 2. Let x(b) = -5*b**3 - 3*b + 2. What is 3*c(n) + 7*x(n)?\nAnswer: -2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-76))\/(1749\/3498).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 = 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16866594973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1 = 4*g + 1, l - 5 = g. Let w(f) = f**2 - 15*f + 24. Let q be w(12). Is l\/6 + (-3512)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + 3 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13096 + -16356902\/1249. Is t greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1020259878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50 - -5?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-29)\/(-8) + 69\/184. What is the greatest common divisor of x and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/5, -56, -2, 0.11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 - (-1)\/(1\/2). Let v be (-4)\/(h\/15 - 2). What is the highest common factor of v and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(396) - (1*(sqrt(132) - (sqrt(132)*-2 + sqrt(132) + sqrt(132) - sqrt(132) - sqrt(132))))\/sqrt(12).\nAnswer: -1 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 953533001 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 + 178\/56. Which is the closest to -1\/2? (a) y (b) -1\/6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(99) - -2*(1*sqrt(99) + sqrt(99)) - sqrt(99)) + sqrt(99))\/(sqrt(144)*5) + 5)**2*-6 + 5.\nAnswer: -1185\/8 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47993?\nAnswer: 11, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 655 + -651. Suppose 0 = -4*z - 3*a - v + 17, 2*z - 5*a = 13. Are z and 7\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*g - 99*g - 81 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 751*s + 3693. Determine l(-5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*x**4 + 5*x**4 + 3*x + 1 - 15746*x**2 + 15745*x**2 in the form v*x**2 + n*x + y*x**3 + r*x**4 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*z - 8*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.354168977 from 2412.\nAnswer: 2411.645831023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (-33 - -59 - 140) - (0 - -3)) + 4.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21230323000 (base 4) in base 15?\nAnswer: -353881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 8*d**2 + 2. Let y be o(8). Let z = -19 - -27. Is z smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + 1*(3 + -6*sqrt(91)\/sqrt(7)))*-3)**2.\nAnswer: -432*sqrt(13) + 4359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/216 and -109\/6.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2 - (10 - (13 + -6))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5214 and -97\/390?\nAnswer: 338910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.06, 0.3, 0.187, -2\/17, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/165 - 2\/(-5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 17, w: 2}. What is prob of picking 1 j and 1 w?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 + 12 = 0. Let f(k) = 2*k**3 - k**2 + 2*k. Let t be f(j). Suppose 11 = -u + 4*n, 5*u - 8 = 4*n + 1. Solve t = -4*d + u*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571660 is divided by 234.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 1:13 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 846791 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 1\/6*d**3 + 0 - 1\/2*d**2 + 24*d. Let q be 1\/(-4) + 14\/(-8). Let f(p) = -2*p**3 + 3*p - 2. Give q*w(n) + f(n).\nAnswer: -2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*j + 5*j - 10*j - 2*j**2 in the form r*j**2 + m + f*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 257\/407 - -2\/407. Suppose -3*b + 25 - 115 = 0. Calculate the common denominator of 1 - (0 - (-159)\/b) and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) -2\/7 (c) 150328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 3\/4*a**4 + 3\/2*a**3 + 43*a + 0 + 1\/20*a**5 + 5\/2*a**2. What is i(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/32018 and -3\/11435.\nAnswer: 160090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 times 4?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 21*j. Let t(s) = -21210*s**2. Calculate t(w(c)).\nAnswer: -9353610*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302220 and 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2154.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -6d0?\nAnswer: 6d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(4)\/(sqrt(2)*1*-3).\nAnswer: -sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 divided by -220?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - 18. Let u = h + 63. What is the remainder when 88 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588105290 to the nearest integer?\nAnswer: 24251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14338514831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 41. Let w be ((-32)\/(-12))\/(4\/6). Suppose w*s - 49 = -3*u, 3*u = -s - k + 87. Solve -2*l = 2*l - 3*h - u, -h - 1 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 168*b - 1860. Give q(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.25 + -30.556. Let y = r - -0.006. Let a = y + 0.3. Sort 5, -4, a in increasing order.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -21\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 2*o**4 - o**3 + o**4 - 4*o**4 + o**4 + (o**4 + 2*o**4 - o**4)*(0 - 2 + 0) - 25 - 1112*o**4 + 25 - 2496*o**4.\nAnswer: -3612*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -14\/345, 0.4 in increasing order.\nAnswer: -1, -0.1, -14\/345, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 49 = -36. Let l = 60 - y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**3 - 4*u**2 - 7*u + 5. Let n(y) = -10*y**3 - 6*y**2 - 10*y + 7. Let j be 50\/6*9\/15. What is j*n(k) - 7*l(k)?\nAnswer: -k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 5*y - 15. Let d = y + 37. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 1 - 19*k**4 + 7 + 2*k**3 - k**3 in the form l*k**2 + x*k**4 + y*k**3 + p + a*k and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(1260\/(-96))*9\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 15 (c) -5 (d) -6.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -4. Let g(y) = y**3 + 5*y**2 + 3*y + 2. Let p be g(d). Solve -q - 3*q = -p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51693187191\/275 - 187974987. Let k = p - 275264137\/1150050. Let w = k - -13\/102. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 26*v**2 - 32*v + 56. Let c be t(26). Let a = c - -796. Let h(p) = 2*p**2 + 3*p - 2. Calculate the lowest common multiple of a and h(-4).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 38. Calculate the remainder when d(-8) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (900\/750)\/((72\/(-5))\/(-4))*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 7*o + 5. Let t be x(4). Suppose -8*q - 206 + 574 = 0. Let v be q*(t\/6)\/3. Solve 0 = m - 1, 2*r - 7*r + v = 3*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-4)*(74 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25057 is divided by 10838?\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65961 is divided by 1729?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 91. Is -14 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 32 = 7*l. Let h = l - -14. What is the third derivative of 29*z**2 - z**h + 5*z**5 - 12*z**2 wrt z?\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 705775 (base 10) to base 8\nAnswer: 2542357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*q - 3*q**3 - 399*q + 199*q.\nAnswer: -3*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1662\/(-2770))\/((-11)\/(-1045)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 2 - 11*j**3 + 5*j**4 + j**2 - j**4 - 2*j**4 + 9*j**3 in the form h*j**4 + f + y*j**3 + m*j + b*j**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2. Let m(i) = 72980*i**2 - 1312*i - 5248. Let q(f) = -167*f**2 + 3*f + 12. Let j(l) = -3*m(l) - 1312*q(l). What is c(j(h))?\nAnswer: 134480*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {q: 1, g: 1, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73620 and 80982.\nAnswer: 809820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826.9423 + -4.\nAnswer: -830.9423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 + -124.4. Let l = 34 + x. Let h = 33.06 - l. Round h to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(-4 + (sqrt(176) + 0)**2 + -1 + sqrt(11)*-2*4).\nAnswer: -342 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbni. Give prob of sequence bi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 + 96. List the prime factors of 225 + (w - (-2 - 0)).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - s**2 - s**2 + ((2 + 5 - 6)*(-3 + 11 + 3)*(-608*s + 313*s + 417*s) + 0*s - 2*s + 3*s)*(-2 + 2 - 2*s) to the form w*s**2 + t + n*s and give w.\nAnswer: -2688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 331411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 102 = 2*r, -2*r = 5*o + 57 + 93. Let v(q) = -10*q**3 + 3*q**2 + 3. Let d(b) = -91*b**3 + 28*b**2 + 28. Give o*v(a) + 3*d(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + -663. Let y = 1185 + f. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 2821*v**2\/2 + 818407*v + 1642460.\nAnswer: (v - 2003)*(v - 820)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 169. Let y = -92 + q. Let a = -107 + 107.4. What is the nearest to -5 in y, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y**(-2))\/(y*y*y**(2\/5))**(-1\/4) assuming y is positive.\nAnswer: y**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*v = -25, 27 = 5*c - 0*v + 4*v. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b**5 - 2*b**4 + b**4 - 8*b**2 + 115*b**2 - 4*b**5 - 2*b**4 wrt b.\nAnswer: 240*b**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 7, -5, 12, -2, -32 in decreasing order.\nAnswer: 12, 9, 7, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 3*h - 5. Let z(c) be the second derivative of 3*c**5\/20 + 5*c**3\/6 + 4*c**2 + 6*c. Calculate -8*t(u) - 5*z(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155307 is divided by 4772?\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 82 - 22. Suppose y - 5 = -3*j + 3, -4*j + g = 2*y. Solve -a - 3 = -o + y*a, 2*o - 3 = 3*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854 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: Is 7020 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 18650*n - 2312589. Determine y(124).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - -7. Calculate the greatest common factor of b and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Calculate the remainder when 22 is divided by 7 + (j - -1)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d6c3 (base 14) in base 2?\nAnswer: 1001000010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-66)\/6204)\/((-3)\/(-2)))\/(24\/24).\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:09 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((4 + 3*sqrt(2800)*-2 + (sqrt(2800) + 0)*-3)*-6)**2)*-1.\nAnswer: -8165380 + 51840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/10)\/3 + 2. Let j = 1.4 + -2.6. Let g = j + 0.2. Which is the second smallest value? (a) g (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = l. Suppose -w - l*b = -18, 0 = -w + 3*b + 7 + 1. Let g be 4\/w + 57\/21. Solve -4*h = g*q - 26 + 8, 5*q - 10 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-10) + (-42)\/(-105). Solve -v*g = 6 - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r. Let o(d) = 11*d. Let s(f) = 8*c(f) + 3*o(f). Let i(z) = -210*z + 22. Let n(p) = -17*p + 2. Let u(t) = i(t) - 12*n(t). Calculate u(s(g)).\nAnswer: -6*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(6*b - 2*b - 3*b)*(b**4 + 2*b**3 - 2*b**3).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 22628 - 40677. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09197 - 0.05803. What is the smallest value in -5, 60, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6276*z - 6219*z = 436 - 37 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 - (-15 + 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -322200 (base 6) in base 7?\nAnswer: -140016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -102*c + 3*c**2 + 198*c + 1 - 102*c - c**2. Let l(g) = 2*g**2 - 6*g + 2. Let y be 22\/6 + (-6)\/9. Let j(q) = y*l(q) - 2*z(q). Factor j(f).\nAnswer: 2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -37*h - 4 + 45*h + 11. What is the remainder when q(8) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14986)\/51562 - (-3)\/7?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o**2 + 9*o + 7. Let s = 321 - 330. Let q(r) = -3*r**2 + 4*r + 3. Let m(k) = s*q(k) + 4*v(k). Let u(a) = 2*a**2. Calculate m(u(g)).\nAnswer: 12*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -151? (a) 9 (b) -12 (c) 2\/19 (d) 0.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 9:07 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 19*s**2 + 2*s - 34. What is the least common multiple of j(19) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 11*o**2 + 23*o + 24. What is h(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvv when three letters picked without replacement from {g: 2, a: 4, v: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -21*n**2 + 4 - 21*n**2 + 41*n**2 + 4*n. Let j(s) be the third derivative of s**5\/60 - 5*s**4\/24 - 5*s**3\/6 - 6*s**2. Calculate -2*j(y) - 3*m(y).\nAnswer: y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1141683284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-4)\/(-2)*((-98)\/(-7))\/154).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62399*f**2 - 62399*f**2 + 172*f**5 + (-1 + f**4 + 1)*(-4*f + 2*f + 3*f).\nAnswer: 173*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 2727, -3\/4, -3\/7, 2\/15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 9\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 + 0*f**2)*(-2 + 0 + 4) - f**2 - 2*f**2 + 4*f**2 + 68*f - 67*f + 48*f**2 + 8 - 49*f**2.\nAnswer: 2*f**2 + f + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + (sqrt(294) - -1*sqrt(294))\/sqrt(6) + sqrt(49))\/(sqrt(7) - (-3*sqrt(252) + sqrt(252) + sqrt(252))).\nAnswer: 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-228)\/(-5890))\/((-4)\/((-60)\/9))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 330 - 547. Let a = y + 216.5. Is 11 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -14.4. Let s = g + -0.2. Let d = 2.3 + s. Which is the third biggest value? (a) d (b) 1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7445565 is divided by 1820.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5442.8845 - -5441. Let a = -1.9 - j. Let w = a + 0.032. What is w rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1333 or -1334?\nAnswer: -1334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839794013 is divided by 5795?\nAnswer: 5793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 257593, 257622, 257651?\n\"Answer: 29*z + 257564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 6*y - 7. Determine k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 z when three letters picked without replacement from ffmmfffmmffmmzfmffmf.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3281.\nAnswer: 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 394\/7 + -56. Let -t*s + s**2 + 0 = 0. Calculate s.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-128)\/320*34430\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxccguvggccccg. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -240977 - -240978. Let v = -0.1 - -0.1. What is the closest to -3\/4 in -4, x, v, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:58 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v\/(v**(-4)\/v*v))\/(v**(-1\/23)*v**(2\/3)\/v) assuming v is positive.\nAnswer: v**(164\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 8975 = -5*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.2. Put -3, -0.4, b in ascending order.\nAnswer: -3, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -143 - 31. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = -18*d + 420*d - 8536 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 265 or 531\/2?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-2)*(280\/330)\/(-14)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 4*p**2 + 7*p - 3. Let c(k) = -k**3 - 5*k**2 + 8*k - 3. Let y(q) = -6*c(q) + 7*j(q). Determine y(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 less than or equal to 4357\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.11 - -0.11. Let v(j) = 4*j + 22. Let d be v(-5). Let f be (-2 - 3) + (5 - d) - 1. What is the closest to 1 in f, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c**(-7)))\/c)**(-47) assuming c is positive.\nAnswer: c**(-282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2644*f**2 - 2483*f wrt f.\nAnswer: -5288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -1) + (-394)\/(-130). Let k = -3\/13 + i. Suppose 1 = 4*l + 5. Is k at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-6)*7 + (-5704)\/(-1488). What is the fourth smallest value in -2\/3, -74, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343\/258 + -1\/258. Which is the nearest to -1? (a) -5 (b) 4\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1879 - 2*i - 1879.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 7*c - 3. Let k(u) be the second derivative of u**3\/6 - 21*u**2\/2 + 12*u. Let h be k(16). What is x(h)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/5 of a centimeter?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -5 (b) -0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -921*d**2. Let v(s) = -10*s - 4. Let j(n) = -7*n - 3. Let b(t) = 4*j(t) - 3*v(t). Give k(b(q)).\nAnswer: -3684*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = -w + 4, 0 = 5*p + 4*w + 6. Let j = -5 - -10. Sort -3, j, p in decreasing order.\nAnswer: j, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-22)\/n)**(-1\/21)*(n**(-5\/11)*n)**(-5) assuming n is positive.\nAnswer: n**(-377\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*o**4 + 61*o**4 + 93*o**4 + 6*o**4 - 2*o**4 - 3*o**4 + (2*o**3 - 2*o**3 + 2*o**3)*(-5*o + 4*o - o) - 3*o**4 - 2*o**2 + 2*o**2.\nAnswer: 91*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593.4271us in minutes?\nAnswer: 0.000043223785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -45 (b) 0.055 (c) 2\/5 (d) 1 (e) -2\/3 (f) 5\/2 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose 0 = -5*a + u, -c*a - 2*u + u = 0. Suppose -5*w + 150000 = -a*w. What is w rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 470077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 953 divided by -953\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10288 divided by -5144?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {g: 3, y: 3, k: 7, h: 4, n: 3}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/3171 (b) -1 (c) 2 (d) 2\/13 (e) -20 (f) -9\/4 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**2 + 8*p - 25. Calculate m(5).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in 17\/4, 20.6, -2?\nAnswer: 20.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -3*n**2 - 2\/3*n**4 - 3*n + 0 + 4\/3*n**3 + 1\/20*n**5. Let f be m(7). Solve f - 2 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 395 and 51498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 111*d**2 - 46*d - 481. Let p be h(55). Solve 0 = -p*q + 15*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012 + 101?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -1) + 360\/5?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/(-25))\/((-3)\/2). Which is the nearest to 1? (a) m (b) 0.2 (c) 2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and -3920682233510.\nAnswer: -3920682233503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385 = 22*l + 4 - 59 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0745258323 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 94613057268 + -0.1\nAnswer: 94613057267.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -4 (c) -198710\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 176 = 14*z. Find the common denominator of -1\/125 and (9 - 168\/20)*170\/z.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(85)*1)\/(-3*sqrt(20)*6)*-4.\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 - 239 - 11*z + 7*z + 4*z + 11*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 10*c + 24. Suppose -12*t + 6*t = -48. Let d be w(t). Suppose 7*k = 4*k + 5*n + 30, -4*k - 3*n + d = 0. Solve -1 = -3*m - k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 11:19 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1105 - -60?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 372645*r**4 - 383565*r**3 + 11000*r**2 - 80*r.\nAnswer: 5*r*(r - 1)*(273*r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6854520059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 860112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -5, -2 in descending order.\nAnswer: 5, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.318 (b) -1\/146 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*k + 202 = 178, 4*i = -3*k + 32 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18794 is divided by 3102.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 60 = -0*f. Is 0.1 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298\/33 - 253333\/28050. Let i = 4677\/1700 + a. Let r = 3803 - 60825\/16. Find the common denominator of r and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2572 divide 492975240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -10*t - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -10244?\nAnswer: -10244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16*w - 11*w = 0, -4*w + 18 = 2*f. List the prime factors of 1799\/f + (-41)\/(-205).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 - 3*h - 7. Let j be d(5). Suppose -434 - 196 = -j*v. List the prime factors of v.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092627866 divided by 2?\nAnswer: 546313933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 234*m**2 - 475*m**2 + 239*m**2. Let r(f) = -23*f. Give r(s(k)).\nAnswer: 46*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - 34 + 27 - 3*f + 15*f.\nAnswer: 7*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -6. Suppose 0*i = 5*i - 15. Suppose 2*s + 0 + 6 = 0. Put i, s, n in ascending order.\nAnswer: n, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 790 - 874 + 1757 = 0 for x.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a millennium in centuries?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:52 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*n**2*q - 12*n**2 - 2*n*q + n + 65133*q with respect to n.\nAnswer: -56*n*q - 24*n - 2*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*h**2 + 47499*h - 47499*h.\nAnswer: 562*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27\/46 + 2\/23. Suppose -8*j - 2 = -7*j. Which is bigger: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 - (-18 - 2)) - (-3 - -3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 15*n - 10. Calculate the remainder when a(-7) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2929 * 1.\nAnswer: 2929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, 26, 62, 114, 182, 266, 366?\n\"Answer: 8*z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1443 + 8627\/6. Let d(y) = 7*y**3 + 11*y**2 - y + 4. Let q be d(-2). Is q greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/7))**(-1\/21)\/(y**(-1))**(-43) assuming y is positive.\nAnswer: y**(-6326\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1593 + 333 = -4*k. List the prime factors of k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78534 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 4*g**2 - 151*g - 286. Give j(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20))\/(((-224)\/80)\/(-7))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 2 = 0. Does 24 divide 6*(m - 56\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, l: 3, e: 2}. Give prob of sequence el.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 bigger than -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/16)\/(1\/(-92)). Let i = h - 33. Find q such that -q**2 - 1\/2 + i*q = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, -248, -600, -966, -1352, -1764, -2208?\nAnswer: -2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/24 - 2*d**3\/3 - 6*d**2 + 4*d. Let r(i) = 9*i. Calculate r(b(u)).\nAnswer: 9*u - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -h - z, 5*h - 166 = -0*z + 4*z. Suppose 2*i + 0*i = 10. Calculate the greatest common factor of h and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 5*j - 76 = 0, 24 - 64 = -4*a - 3*j. Solve 5*m + 10 = 0, -a*m = 5*y - 5*m - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5\/(q**(-11)\/q)*q**5\/(q\/(q**(-2\/21)\/q)) assuming q is positive.\nAnswer: q**(418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1642 - -1634.9. What is the smallest value in 0, r, -0.1, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 4:30 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22330 - 22336. Which is smaller: 841 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-555)*60*1*(-2)\/(-30)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -329.13 to the nearest integer.\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 66?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 12*w**2 - 5*w + 12. Let h be q(10). Suppose 0 = -5*z - 430 - 25. Let j = z + h. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + -6 + (-4 - -6) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -21899997*u + 3. Let w be t(-1). What is w rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53872 divided by 74\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 9:34 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**3*u**2 + d**3 + 3*d*u**4 - 2*u - 10 wrt u.\nAnswer: 12*d**3 + 36*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3174 + -66700\/21. Let l = y + 5\/6. Calculate the common denominator of (-141)\/(-20) + (-2)\/2 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 472 and 470 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495752.\nAnswer: 2, 31, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77752024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11269085?\nAnswer: 5, 311, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323752?\nAnswer: 2, 11, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**3\/3 - 10. Let f(n) = n + 4. Let u(c) = -2*c - 5. Let m(h) = -5*f(h) - 4*u(h). Give m(x(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - m + 202 = 50*l + 63*l, 5*l + 17 = -5*m - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(612)*2*-4))**2.\nAnswer: 1728*sqrt(17) + 352548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5898586, -5898588, -5898588, -5898586, -5898582, -5898576, -5898568?\nAnswer: -5898558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, p: 1, c: 1, x: 1, z: 2}. What is prob of sequence bz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36934357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -16*c**2 - 4 + 10*c - 14*c**2 + 10 + 27*c**2. Give r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*t**2 + 47*t**2 - 306*t**2 + 14*t + 84*t**2 + 79*t**2.\nAnswer: -59*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, p: 5}. What is prob of picking 2 p?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -3\/1916200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 54. Let q = b - -22. Let a = 2 + 2. Which is greater: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 3. Let i be 3*(-150)\/115 - (-3 + -1). Which is the second smallest value? (a) q (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -116. Let w = n - 34.2. Let u = w + -0.4. Put 3, 5, u in increasing order.\nAnswer: u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from gjjjjjjg.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 4*f - 530. What is the highest common factor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 64902.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**3 - 5*v**2 + 20*v. Let f(b) be the third derivative of -b**4\/24 - 2*b**2 - 17. Let k(l) = -30*f(l) - x(l). Factor k(q).\nAnswer: -5*q*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1397)\/66 - -14 - (-7 - -1 - 1). What is the second smallest value in -2\/79, n, 5\/2, 4, -3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*w**5 + 124*w**2 + 2?\nAnswer: -4200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buueb. What is prob of picking 1 u and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:53 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 2*p**2 - 6*p**2 + (-2*p**2 + 0*p**2 + p**2)*(0 + 1 + 1) + (0 + 0 + 57*p)*(p + 1 - 1).\nAnswer: 53*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 173753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o + 0*o**2 - 1\/2*o**3 + 0. Let q(g) = 4*g. Give -5*d(m) - 4*q(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*h + 143*h**2 + 5 - 69*h**2 - 149*h - 75*h**2 - 5.\nAnswer: -h**2 + 77*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.881 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c**2 + c - 2. Suppose s + 4*s + 5*f = 75, -5*s = 2*f - 60. Suppose 0 = 5*a - s. Give g(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -15. Let i be ((-20)\/6)\/((-4)\/(-48)). What are the prime factors of i*(c - (-2)\/(-4))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*f - 65, -2*n + f - 3 = -18. Let a be (-4)\/(-18) - n\/45. Suppose 5*p - 2284 - 166 = a. What is p rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4287511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in -3, -216, 31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 2*b + 15 = 3*t - 11, -28 = 5*t - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 23, 22, 23, 26?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven tenths of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.02 or 49158\/29?\nAnswer: 49158\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 6)*(5*v - v - v)*(-4*v**2 - 2*v**2 + 3*v**2).\nAnswer: 108*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 2*g - 3. Let j be m(-4). Let b(r) = -r**2 - 4*r + 6. Let u be b(-7). Let l = j + u. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 4:25 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125869646006 + 7712.\nAnswer: -125869638294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209) - sqrt(209))\/sqrt(11) + 4 + ((4 + sqrt(171))**2 - (sqrt(19) - (sqrt(1900) + 0))).\nAnswer: 30*sqrt(19) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 18*c - 23. Let r be u(-16). Suppose r*v - 1804 = 5*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741207816.\nAnswer: 2, 3, 1321, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 5*i**2 - 9*i - 2. Let w = -10 + 4. What is the units digit of a(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 4*i. Let a be 1 - -1 - i\/(-1). Suppose -5*y - 4*h + 25 - 2 = 0, 5*y - a*h - 9 = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3\/3 - m**2\/3 - 3*m + 3 = 0?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25\/94 + 16303\/376. Let g = 44 - x. Sort -2, 3, g.\nAnswer: -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/2085?\nAnswer: 4\/2085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*d + 19, -h - 5*d + 2*d - 7 = 0. Let t be -1 - -1*1\/1. Let l(q) = q + 3. Let v be l(0). Sort v, t, h in decreasing order.\nAnswer: v, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002145462421 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -286*l*m**2 + 19*l*m + 2*l + 6275*m**2 + 78*m + 6 wrt m?\nAnswer: -572*l + 12550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 8. Suppose -k = 2*v - 4 - 4, 5*k - 3*v - 1 = 0. Suppose 180 = k*q + 3*q. What is the greatest common divisor of i and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 8*w - 4. Let z be a(7). Suppose -z*y = -y - 6. Suppose -y*m + 3 = -6. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10340554 + 5?\nAnswer: 10341003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31089*i**6 - i**3 + 291804*i**2 wrt i.\nAnswer: -3730680*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/2 + 57327*w\/2 + 4152897.\nAnswer: 3*(w + 146)*(w + 18963)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64576 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17810.6 - -17811. Put -2, 10, 4, -1, g in decreasing order.\nAnswer: 10, 4, g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -14, -0.2, -5\/16, -0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Solve -3*s + s - 6 = p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:43 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z = 0. Let k = 0 + z. Solve k = 2*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112560 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 20*f**2 + 2*f + 33. Let b(m) = -m**3 + 9*m**2 + 2*m + 16. Let t(s) = 13*b(s) - 6*z(s). Determine t(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9037 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/12 - (-852)\/(-144) and 9\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -33. Solve t + 16 = u - 2*t, 2*u - q*t - 12 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5646 + -5634. What is the remainder when 527 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-15 - (-12 + 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 7 - (5 + 14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 1:08 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*z**3 + 487*z**3 + 95*z**3 + 30*z**3 + 508*z**3.\nAnswer: 1185*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 123012, 246023, 369034, 492045, 615056?\n\"Answer: 123011*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/90*((-1155)\/6)\/11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*b - 29 = -0*b - 2*u, -5*b + 33 = 26*u - 22*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - (12 - (-804)\/(-72)). What is the nearest to 1\/5 in -2\/25, 1, a?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/33)\/((-76)\/114)*(-13)\/((-78)\/27)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33563 - 14128. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396212813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.37 and -1633819864.\nAnswer: -1633819864.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1242, 1233, 1226, 1221, 1218, 1217?\n\"Answer: w**2 - 12*w + 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/15, 0.3, 1, -0.4 in increasing order.\nAnswer: -0.4, 4\/15, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 16*w + 8. What is f(-14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2 - 2*b - 223. Calculate t(-13).\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -2*i + 0 + 5*i**2 + 0*i**4 - 1\/6*i**3 + 4\/5*i**5. What is the first derivative of b(o) wrt o?\nAnswer: 48*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 179 = 2*p, 3*p = -4*h + 69 + 277. Solve -120 = p*z - 146*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14072512.\nAnswer: 2, 31, 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -15.\nAnswer: -32\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27984094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/32*940\/(-611)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190 (base 16) to base 15.\nAnswer: -1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 9*t. Let x = -1 - 4. What are the prime factors of d(x)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a20a (base 13) to base 8\nAnswer: -751666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10.9619 + 0.3965891\nAnswer: -10.5653109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5 - -4)*(-32 - -18). What is the fifth biggest value in -20\/9, -3, z, -2, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(55)\/sqrt(5)*-1 - (-4 + sqrt(11) + -2)))**2.\nAnswer: -44*sqrt(11) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356 a factor of 1043004996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to 18100450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 305 (base 6) to base 14\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + 80 - 115)*(-106)\/(-4).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3025 - -5985. Let q = r - 2929.54. Let o = q - 30. What is o rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456, 458, 460, 462?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, 6, 33, 70, 117?\n\"Answer: 5*h**2 + 2*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, -146\/5, 7 in descending order.\nAnswer: 7, 3, -0.2, -146\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 24 = 2300*p - 2298*p, 3*q + 61 = 5*p for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2505544502 - -5?\nAnswer: 2505544510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47228, 94471, 141714, 188957, 236200?\n\"Answer: 47243*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6120 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8553 divided by -5\nAnswer: 8553\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2 (c) 219 (d) 69738\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + ((-10)\/65 - (-48)\/(-26)). Let h be ((-34)\/t)\/((-8)\/(-32)) - 4. Suppose -4*l + 3*l = -104. What is the greatest common divisor of l and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -316 + 115. Is 6 + 0 + -4 - w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = -16. Suppose 18 = 2*t - j*q, -3*t - 3 = -5*t - q. Calculate the least common multiple of (-1)\/2 - 115\/(-10) and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-17)*i*i**(-1\/11)*i)\/(i**(3\/7)*i\/(i*i**(-13)*i*i)))**(-1\/30) assuming i is positive.\nAnswer: i**(1021\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -37. Suppose -3 = 3*c + 3. Let w be (4\/15)\/(c\/(-3)). What is the closest to w in -0.4, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - x**3 - 2*x**2 - 2 + 2*x**2 + 5*x. What is a(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*w + 5424 = -869*w + 33960 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 22. Suppose -2*l = 2*w + 50 - 54, 5*l - 4 = -2*w. Let h(p) be the first derivative of -26 + 0*p - 1\/2*p**w. What is h(s(d))?\nAnswer: d + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 380*x - 746. What is a(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*f**2 - 23*f - 10 + 12 + 99*f**2 + 99*f**2 - 18*f - f**3 in the form q*f + z*f**3 + t*f**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 202, 199?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 + s - 1. Let x be a(1). Let l(m) = m + 3. Let u(d) = 3*d - 3 + 6 + 6 - 2. Determine x*u(o) + 9*l(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 92*r + 22. Let o be (-486)\/(-405) + (-76)\/5. Suppose -2*j + 11 + 43 = 0. What is the remainder when v(o) is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1530738 and -187\/4050?\nAnswer: 38268450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**3 + p**2 - 223*p - 672. Determine w(-3).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5\/9 + 1816*w**4\/9 + 322982*w**3\/9 - 14565632*w**2\/3 - 64487936*w + 236175360 = 0.\nAnswer: -496, -15, 3, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*w - 11*w**2 + 184*w + w**2 + 39*w**5 wrt w?\nAnswer: 2340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000128 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/280*-7)\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 6*s + 3*s)*(-5801 - 7857 - 3349 + 4864 - 9181) to the form w*s + b and give w.\nAnswer: 21324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 218.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + a = -a + 158, 0 = 4*k - 5*a - 298. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-4)\/(-3))\/(-2))\/((-2)\/15). Suppose -g*t - 3*c = -126, -2*t - 2*t + 100 = 2*c. What is the remainder when 68 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.745751 take away -934?\nAnswer: 884.254249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 14 - 2, 0 = 3*t + 3*d + 165. Let c = t - -100. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 4*y + 1. Let p(x) = 3 - 4 + 58*x - 57*x. Let d(j) = -n(j) - 4*p(j). Calculate d(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + v**3 + 3)*(4*v**2 - 4*v**2 - v**2) - v**4 - v**5 + v**4 - 3*v**5 - 2*v**5 + 3*v**5 - 4*v**5 + 11*v**5 + 4*v**5.\nAnswer: 7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + u = -2*y - 17, -4*u = y + 5. Suppose -106 = -y*a - 5*k + 142, -a + 86 = 5*k. Suppose 402 = 3*b - 5*q, -a + 362 = 2*b + q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 22*t**2 - 23*t + 1. Give m(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 0, -12, -4 in increasing order.\nAnswer: -12, -4, 0, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/20 - o**4\/12 - o**3\/6 + 15*o**2 + 4*o. What is the units digit of r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 210, 375, 524, 651, 750, 815?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -161, -197, -215, -209, -173, -101, 13?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892985546?\nAnswer: 2, 3, 127, 2484233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)*v)\/v*v*v**(1\/18))**24\/((v\/((v\/v**(-2\/7))\/v))**(-5)*v**(-2\/7)\/v**(-3\/7)) assuming v is positive.\nAnswer: v**(-908\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxiyxihyh. What is prob of picking 2 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -220334 + 408625. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 3*p**2 + 5*p - 5. Let z(v) = -9*v - v**2 - 1 + 23*v - 13*v. Determine h(s) - 5*z(s).\nAnswer: -3*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85801832?\nAnswer: 2, 797, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 8*n + 9. Let a be p(9). Suppose a*o = -2*o + 4. Find m such that -m**2 + 3*m + 4 - m - m**o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132401 (base 5) to base 13\nAnswer: -2588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20245985.\nAnswer: 5, 641, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/15*((-14)\/(-4) - 2). Suppose -740 = -z*k - 5*k. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 + 12*a**2 - 16*a**2 + 3*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242974 + -0.1.\nAnswer: -242974.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:11 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119.869 + 234.283. Let v = 0.986 + o. Let p = -110 + v. Which is the smallest value? (a) -0.5 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12869 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2134 + 2134.4. Let j = -2.6 + 0.6. What is the third biggest value in 16, -0.1, j, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 16626 = 10*j. What is the hundreds digit of (2\/(-6))\/((-2)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (100\/(-8))\/(2\/(-76)). Suppose 3*s + 91 - f = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 44*r - 45. Give t(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*u + 19. Let d = 12 - -7. Let h = d - 11. What is the remainder when u is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04260883 rounded to three decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.789513 centuries to decades.\nAnswer: 57.89513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68*(-4)\/128)\/((-3)\/(-48)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11618? (a) -1 (b) 9 (c) 2 (d) 0.4 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 18 + 13 + 22 - 5*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1742954*v**4 + 3*v**2 + 2914*v + 3 wrt v?\nAnswer: -41830896*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 149933*j**2 + 1898694*j + 1199160.\nAnswer: (j + 12)*(j + 49965)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10198608 and 8001?\nAnswer: 30595824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnne when four letters picked without replacement from qqeqeqeneqeeeqnenev.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 413799 + -0.3.\nAnswer: 413798.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:04 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/28 and -34\/183.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7292, -29143, -65552, -116513, -182020, -262067?\n\"Answer: n**3 - 7285*n**2 - 3*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39692*l**2 - 79421*l**2 + 39834*l**2.\nAnswer: 105*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 734 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/2 + 2889*z**3\/2 + 47292*z**2 + 480298*z + 1399440 = 0.\nAnswer: -2856, -14, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-7)\/(385\/10)). What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m**2 - 57*m**2 + m**2 + 3 + 150*m**2 - 48*m**2.\nAnswer: -7*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 8*v)*(-1 - 2 + 2) - 27*v - 192 + 101 + 93 as c*v + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 minutes after 5:34 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -812 divided by 39\nAnswer: -812\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - (-6 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m*m\/(m*(((m\/((m**(-2\/27)*m)\/m))\/m)\/m)\/m*m))*m*m*m**(-1\/13)\/m assuming m is positive.\nAnswer: m**(-352\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4868581652 and 0.2.\nAnswer: -4868581651.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*k - 3*p, -3*k - 5*p + 26 = -34. Suppose 24*i - w - 353 = k*i, -5*w = -2*i + 181. Calculate the remainder when i is divided by 75.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21463.3mm?\nAnswer: 21463300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/((-17)\/((-765)\/36)*-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)\/k*k*k**(-1\/2)*k*k**2*k**(-14) assuming k is positive.\nAnswer: k**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -1.9. Let x(g) = 2*g - 2. Let m be x(-4). Let y be m\/36 + 8\/16. Which is the smallest value? (a) y (b) t (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 74*i = 252. What is the smallest value in -0.1, -4, 0, i, 48?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-29 - 20 - -28)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 26. Let s = x + 83. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3413, -3410, -3395, -3362, -3305?\nAnswer: -3218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 28*w**3 - 3*w**2. Let b(x) = -x**2. What is 3*b(j) - p(j)?\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3920*o**3 - 7073*o**2 - 12. Let l(z) = 3919*z**3 - 7079*z**2 - 8. Let h(w) = 2*f(w) - 3*l(w). What is the third derivative of h(j) wrt j?\nAnswer: -23502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128139793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-18)\/15) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -407*(1258\/(-407))\/(-34).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 4*z**5 - 3*z**5 + (5*z + z**3 - 5*z)*(z - 2*z**2 - z) + (306 - 7*z**5 - 306)*(-1 + 2 + 1).\nAnswer: -17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 796524698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -93145 at most 0.029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4000 (base 5) to base 10.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2, 4*u - 3*l + 4*l = 15. Suppose -u*z + 6*z - 66 = 0. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*q**4 - 75*q**2 + 75*q**2 + (4*q - 4*q + q)*(-6*q**3 + q**3 + q**3) - 17*q**2 + 13*q**4 + 17*q**2.\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -104 + 404. Suppose -90 = j*i - 33*i. Suppose -v - 59 = -3*r, -2*r - 3*v = -4*r + i. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -15. Suppose 173 + 29 = k*b. What is the tens digit of (-6)\/27 - b\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.374 from -0.02.\nAnswer: 7.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145174719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3455 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19160996 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 3. Let h be k(2). Let n(o) = o - 4. Let i be n(7). Let g(v) = v**2 - v. Let x be g(2). Solve x*p + h = i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/18 - 16\/(-36))*-12. Let k(w) be the first derivative of -1\/2*w**3 + 0*w - 5\/8*w**p - 1\/10*w**5 - 21 + 9\/4*w**2. Determine d so that k(d) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3804 - 3840. Which is smaller: h or -12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 17) + 44 + (-30 - 60)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 7. Let x = y + -22. What is the remainder when x is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(114)\/(sqrt(36)\/sqrt(6)) + (-3*(-1 + sqrt(19)))**2).\nAnswer: -900 + 85*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, 28, 2\/9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -24187?\nAnswer: -10\/24187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -467.75769+398240\nAnswer: 397772.24231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**2 + 29*p. Let b be o(4). Let g(s) = 3*s**2 - 11*s + 1. What is g(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, 685, -388.\nAnswer: -388, 0.4, 5, 685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 - -111. Let s = -5178770837.9998757 + 5178771073. Let j = k - s. What is j rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**6\/360 + y**4\/12 + y**3 + 2. Let c(z) be the third derivative of b(z). Find the first derivative of c(u) wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*1*-2 + sqrt(432) + sqrt(432) + sqrt(432)*-2 + -1)**2.\nAnswer: 48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3765312664 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -22. Suppose d = -9*c + 11*c. Let u(p) = -p**2 - 8*p - 6. Let j be u(-4). Solve 0 = 3*n - j - c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 68?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3932*m**2 + 3928*m**2 + 9 - 15.\nAnswer: -4*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:46 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26485*b**3 - 3*b**2 + 172447*b - 16.\nAnswer: 158910*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*r - 29 + 69 = 0, -3*c + 4*r = -40. Let o(u) = u**3 - 5*u**2 + 5*u + 4. Let b be o(4). What is the highest common divisor of b and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -25, -j - 3*m + 245 = 4*j. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 65383058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/(-16))\/(-11) - 25\/((-14400)\/264). Solve -125\/3 + s*a**3 - 5*a**2 + 25*a = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21576 divided by 5\nAnswer: -21576\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 25 = -g + 2*g, 38 = 5*a - 2*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 51, 65?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g - 7*g - g. Let p(l) = -l + 1. Let b(a) = 26*a - 12. Let z(h) = -b(h) - 12*p(h). Determine s(z(u)).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p**2 + p - 1. Suppose -13*c - 4 = -9*c. Let t(x) = 9*x**3 - 9*x**2 - 4*x + 4. Let a(u) = c*t(u) - 4*f(u). Factor a(g).\nAnswer: -5*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1188 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -38*l**3 + 3*l**2 + 105*l - 213. What is f(2)?\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 - (-17 + (11 - 2) + 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3426*j - z - 13 = 3427*j, 2*z - 19 = j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 157590 and 4223.\nAnswer: 6461190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9134.5706 + 9133. Round m to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 148 = -35*x. Find the third derivative of 21*g**3 + 28*g**3 - 215*g**2 - 9*g**3 - x*g**3 + 22*g**3 wrt g.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3098 divided by 221\nAnswer: -3098\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y*y**(-1\/3)\/y*y))*y)**22\/((y*y**(-3\/4)*y)\/(y\/(y*y\/(y\/(y**(-6)\/y))))))**(16\/5) assuming y is positive.\nAnswer: y**(3092\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzz when three letters picked without replacement from {p: 2, z: 9}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 11. Let d be t(-8). Let o be (d - -1*4)*0. Suppose -4*r + 2 = 5*k, 2*r + 3 = -2*k + 5. Solve -5*w - r*s + 16 = -10*w, o = -4*s + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - 7*p + 6. Let r(f) = -3*f**2 + 8*f - 5. Let g(a) = 3*r(a) + 2*s(a). Give g(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 2) + 1125\/135.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 150 = -10. Suppose -6*b + v = -4*b. Suppose -2*f = 3*x + f - 21, 5 = 2*x - f. What is the lowest common multiple of x and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 202*x**3 + 365*x**3 + 167*x**3 to t*x**2 + b*x + z + l*x**3 and give l.\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37034785.20161 and 0.5.\nAnswer: 37034785.70161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-3) - 0)*11\/(-11). Let v(w) be the second derivative of -1\/2*w**2 + 1\/2*w**3 + 0 + k*w. Determine v(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1775 = 6*n - 11*n. What is the second derivative of -2*k - 14*k**3 - 13*k - n*k**2 + 355*k**2 wrt k?\nAnswer: -84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454947533 to the power of 1\/3, to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67814 and 12546?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let x be i(-4). Suppose -x*b + 11 = -85. Calculate the greatest common factor of 16 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40907 take away 0.9?\nAnswer: 40906.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z + 3. Let d(v) = 14*v - 5. Let r = -75 - -76. Let l be 3*r*(-12)\/((-288)\/(-40)). Give l*d(y) - 8*j(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6365299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860 = 3*f - 5*f. Round f to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201530 rounded to the nearest 1000?\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, 1 c, and 1 i when four letters picked without replacement from ddccizckdi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -72, -61, -46, -27?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 15. Let b(o) be the third derivative of o**5\/30 - 39*o**2. Determine b(d(i)).\nAnswer: 2*i**4 + 60*i**2 + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 8, a: 2, j: 2, t: 2, o: 2}. Give prob of picking 1 m and 1 o.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 484886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/(-43527)*((-15)\/(-6))\/((-210)\/(-63)) and -59\/7?\nAnswer: 101563","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000186694 rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, a: 8, o: 2, z: 1, x: 2, i: 1}. What is prob of sequence aa?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 4. Let h(y) = -y - 6. Let b(o) = 2*h(o) + 3*x(o). Determine b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/1080*-44 + 2 + 56\/(-27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369, -2543, -8447, -19947, -38909, -67199?\nAnswer: -106683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**4\/36 + 4*h**3 - 71*h**2\/6 + 161*h. Factor x(o).\nAnswer: -(o - 71)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 431, 419, 385, 317, 203, 31?\n\"Answer: -2*h**3 + h**2 - h + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jctw when four letters picked without replacement from {t: 2, c: 1, y: 1, w: 1, j: 1, r: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -260986933.7 to the nearest one million.\nAnswer: -261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - 2*k**2)*((0 - 4 + 6)*(-1 - 2*k**3 + 1) + 215*k**2 + 258*k**2 + k + 2*k**3 - 435*k**2).\nAnswer: -2*k**5 + 38*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.21921ml to litres.\nAnswer: 0.07321921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*sqrt(2299) - sqrt(19)))**2 + -2*((sqrt(19) + 1)**2 + sqrt(19))*2.\nAnswer: 84*sqrt(19) + 2672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.08068*11.5\nAnswer: 0.92782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1235 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27127 by -1518.\nAnswer: 27127\/1518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -696*f + 5571. Let g be q(8). Solve -1 = g*k - 4*z, -24*z + 2 = k - 23*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0106 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + sqrt(48)*-1 + -1 + sqrt(300) + ((sqrt(297) + sqrt(33))*1 + sqrt(33) + sqrt(33))\/(sqrt(1584) + 1*sqrt(1584)) + -5)**2.\nAnswer: 25*sqrt(3) + 1939\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 + 131. Solve o*p + 2*c - 5 = 0, p - 2*p + 4*c - 21 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 31. Let l be z(-13). Let f = l + -22. Let h(b) = b**2 + 2*b - 6. Let p(r) = 1. Give f*p(n) - h(n).\nAnswer: -n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -921 and 1.8.\nAnswer: -1657.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*s**5 - 2 + 153*s**5 + 367*s + 119*s**5 + 14*s - 20*s**5 wrt s.\nAnswer: 4880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1365368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, t: 7}. What is prob of sequence tt?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51847667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -53161.4778 to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25240 + 0.6034262.\nAnswer: -25239.3965738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*x + 71*x - 6354. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7577 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011001110001101001 (base 2) in base 14?\nAnswer: 319969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 91. Let x be (6 + f - (-7 + 11)) + -5. Sort -5, x, 72 in decreasing order.\nAnswer: 72, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*b**3*l**3 - 2*b**3*u + b**2*l*u**3 + 5*b*l**3*u**2 - 6*b*l**3*u + l*u**3 wrt b.\nAnswer: 162*b*l**3 - 12*b*u + 2*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.081, -5\/9, 0.27.\nAnswer: -9, -5\/9, -0.081, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1180*b**5 - 2*b**4 + b**2*t**2 + 2*b + 199*t**2 wrt b?\nAnswer: 23600*b**3 - 24*b**2 + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20407273*h**4 + 41499558 wrt h.\nAnswer: 81629092*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 305 (base 10) to base 7\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125041\/102 + 3676\/3. Let i = o - -1\/17. What is the nearest to -0.1 in -3, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 213375 and 625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 - 83*g**2 + 26*g - 54. Let a(w) = -37*w - 2618. Let k be a(-70). What is o(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991088 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4636, -9274, -13912?\n\"Answer: -4638*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 2 + 0 + 21*c**2.\nAnswer: 20*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w**3 - w**3 + 3 - 3*w + 3*w**2 + 2*w + 0*w. Let b(l) = 39*l + 432. Let g be b(-11). Determine r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.023803 milligrams to kilograms.\nAnswer: 0.000009023803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 66*y - 66*y - 135*y + 267*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21860 - -21864. Let b(u) = -u**3 + 7*u**2 - u + 9. Let h be b(7). Put 13, h, 5, p in increasing order.\nAnswer: h, p, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 2713.264\nAnswer: -813.9792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-600)\/(-4))\/(-10)*(-20)\/(-6240)*-8.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*u - 85*u + 160*u + 91 = 0. Solve u*i = 5*i - 56 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -110, -439, -988, -1757, -2746?\n\"Answer: -110*g**2 + g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75299 and 868.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18b3 - 27dcb?\nAnswer: -298a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - -1. Let y = 23 - m. Calculate the common denominator of y - 6*(-92)\/208 and 73\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 6, s: 1, t: 2}. Give prob of sequence vgt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.2808 to zero dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*j + 2667 - 2671 - 6*j.\nAnswer: -133*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(45)*2)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2816.6 to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Let v(j) be the first derivative of 9 - 2*j**2 + 2*j**3 - 2*j**3 + 2*j**3 - 5*j**o. What is the second derivative of v(q) wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59412887288290 and 3?\nAnswer: 59412887288293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.2, 1048.53, 1.\nAnswer: 0.2, 0.4, 1, 1048.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588 + 178 = 82*t. Let w(c) = 2*c + 5. Let x(j) = -j - 2. Let i = -26 - -29. Suppose n + 8 = -i*n. Determine n*w(m) + t*x(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*a**4*t**2 - 8*a**4*t - 16*a**2 - 3*a*t**2 - 10*a*t - 4*t wrt a?\nAnswer: 2040*a*t**2 - 192*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c - c + c)*(0 + 4 - 2) + (2*c - 2*c + 2*c)*(-1 + 2 + 1).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9.1 times -0.136099\nAnswer: 1.2385009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2*-1) + 2. Suppose 5*w = -2*p + 16 - 4, -r*w + 10 = 4*p. Let j be 1\/(-2 + (-14)\/(-6)). Solve -w*g - 2*n = 0, j*g = -0*n + 2*n - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let y(b) = 4*b. Let p(i) = -5*h(i) + y(i). Let c(z) = 0*z - 4*z + 5*z + 3*z. Determine p(c(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:36 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -15 - (41 + -44 + 6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - 34\/8. Let l(g) = g + 3. Let d be l(0). Sort 5, j, d in increasing order.\nAnswer: j, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208440 rounded to the nearest one thousand?\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.0685184 rounded to two decimal places?\nAnswer: -16.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 2*q + 1. Let i be h(2). Sort i, -1, -3.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h + 730 = -15*h - 488 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**2 - 65187*c**3 + 2*c + 65190*c**3 + 30*c**4 + 2*c**4 to the form b*c**2 + y*c**4 + o*c + i + x*c**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 6. Determine t(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 q when four letters picked without replacement from {h: 3, s: 2, q: 2, k: 4, i: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 c when four letters picked without replacement from {c: 5, h: 3, z: 3, l: 1, e: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -2 - ((12 - (-76 + 115)) + 1 + 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = -5*o + 5*l + 88, -40*l + 33*l = -5*o + 92 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 1:43 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from vmg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 200*m**2 + 401*m + 3. What is u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -71. Let q be 2\/12*h\/(-26) - 0. Let p = -85\/572 - q. What is the second biggest value in -2\/3, 0.01, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mccucumucccmmcdamcm. What is prob of sequence cum?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8942431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1204 and 13\/98?\nAnswer: 8428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 237\/9 + 2\/(-6). Suppose 0*s - 2*s = -r. Let w(j) = 3*j**3 - 14*j**2 - 7*j + 12. Let g be w(5). Solve 5*u + 35 = 2*x, -2*u + s = 5*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (101\/303)\/((-5)\/255)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 + -90. Let c = 36 - b. Let m be (-1 + 0)\/(2\/c). Solve 0 = -o + 2*z + 7 + 7, -5*z - m = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/11)\/i)**50 assuming i is positive.\nAnswer: i**(-350\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1201, 1233, 1265, 1297, 1329?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.4 (c) -0.1 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - r + 2. Let x be n(2). Let q = x - 4. Factor 15\/2*j**2 + 2 + q*j.\nAnswer: (3*j + 2)*(5*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 4*s + 2. What are the prime factors of k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 10*k + 11. Let f be a(9). Suppose -5*c = -4*r - f + 14, -4*c = 0. Let m = r + -1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -18. Let t(b) = 4*b + 15. Let i(a) = a + 4. Let c(h) = 9*i(h) - 2*t(h). Give c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 7. Suppose -3*u + 8*u + 40 = 0. Let l be ((-6)\/8)\/((-2)\/u). What are the prime factors of v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 25 = 4*c + 2*k, -5 = 5*c + k. Suppose -2*j + 85 = j - 2*u, c = -3*j + u + 86. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 834568878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d**3 - 3*d**2 - 4*d - 132. What are the prime factors of f(-13)?\nAnswer: 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y - 516 = -66*y + 71*y. Solve -y*s + 18 = 114 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ccc666 - -5?\nAnswer: -ccc661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -645.779 to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiukv. Give prob of picking 1 i, 1 v, and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 718 + -713.97. Let s = 0.03 - w. What is the closest to -1\/3 in 4, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*t + 1540 = -178*t. What is the highest common divisor of 105 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1044)\/18*1\/7 + 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 103, 353, 839, 1639, 2831, 4493?\n\"Answer: 13*q**3 + q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 2884516063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/70 - 683*l**5\/60 + 413*l**4\/12 + l**3\/3 + 950*l**2 - l. Find the second derivative of m(c) wrt c.\nAnswer: -36*c**2 - 1366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - -201?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19248.59 days to seconds.\nAnswer: 1663078176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -220\/17 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 4 + (-7 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = v, j = 4*j + 9. Let p be (2\/3)\/(2\/v). Let u be p*(-3)\/6 + 19. Calculate the greatest common divisor of u and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33255 - 3?\nAnswer: -33261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/30 + (-37)\/(-370)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6633 and 35696394?\nAnswer: 392660334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 1)*(3*q - 9*q - 3*q) as x + f*q and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209.3 - -208. Which is the nearest to 0.2? (a) v (b) 4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -14 - 77. What is the remainder when 37 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*h**2*i**3 + 2*h**2 - 154702*h*i**3 + 6*h*i - 10494*h + 8*i + 1 wrt i.\nAnswer: 204*h**2*i - 928212*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 9*f - 2. Let l be c(9). Let z be 9*(-6)\/l + 3. What is the highest common divisor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:48 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31022330 (base 5) in base 9?\nAnswer: -423104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 7*u**2 - 3*u + 29. Let y be r(-6). Suppose -y*s + 436 - 95 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 7*a**2 + 8*a. Let g be v(8). Suppose g = -5*c + 4 + 6. Suppose c*d = -d - 3. Which is smaller: d or -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 + 181. Suppose 0 = n + 4*h - 3, -n + m*h + 3 = 5*h. Solve -c + 13 = -4*g, 4*c - c - 21 = n*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0)*(3 + -7). What is the remainder when 19 is divided by 78\/g + 2\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j + 44*j = 9120. What is the greatest common divisor of 40 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -155 or -18324\/119?\nAnswer: -18324\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -216?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - c)*(2*c - 1 - 4 + 4).\nAnswer: 6*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -2 (c) -0.3 (d) -2\/3 (e) 4 (f) -0.1 (g) 5086\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*x - 21600 = 0. Round x to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {x: 9, g: 1, h: 4, s: 1, f: 4}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10040, -39741, -89118, -158171, -246900, -355305?\n\"Answer: -9838*p**2 - 187*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/7 - 2592\/(-252). What is the highest common factor of 297 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 362522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83.03 - -1355.47. Round a to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (14 + (0 + 6 - -30))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*t**3 - 2*t**2 - 1 - 4 - 1 + 2 - 3*t in the form z*t**3 + s*t + d + n*t**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 699016 and 59838?\nAnswer: 639178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 22*k**2 - 35*k**2 + 0 + (6*k - 2*k - 3*k)*(2*k - 2*k + 2*k) to the form v*k**2 + m*k + z and give v.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 630\/49 - 2\/(-14). Calculate the highest common divisor of 26 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 divided by -8?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -9*w**2\/2 - 2*w + 2. Let g(d) = 14929*d - 29850*d + 14920*d. What is g(k(v))?\nAnswer: 9*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 64 = -22. Calculate the remainder when 208 is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 27. Let g = 0.1 + 0. Which is the nearest to g? (a) -0.5 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9093928000 rounded to the nearest one million?\nAnswer: 9094000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4162359 divided by -3.\nAnswer: -1387453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5434448 != -5434447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 + 148446*y**3 + 85345245*y**2 + 12196421100*y = 0. What is y?\nAnswer: -285, 0, 50052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 14. Let a be q(7). Let f(h) = -6*h**2 + 26*h - 15. Let s(i) = i**2 - 4*i + 3. Let y(w) = -f(w) - 5*s(w). Calculate y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6006996 = -5*u - 89201. Suppose -216441 = 2*v + u. Round v to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430837 is divided by 118.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 3*f**4\/8 - 27*f**3\/2 + 7*f**2. Is k(15) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2\/11 + 209411256*u\/11 - 5481634267437192\/11 = 0.\nAnswer: 52352814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0, -1266, -1.6, -5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 18. Give f(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1264 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 16*y**2 + 2. Let t be o(-16). Suppose 4 = -3*n + 5*n, -2*p = t*n + 6. Let r(m) = -5*m**2 + 2 + 2*m**3 + 3*m - 3*m**3 - m. Determine r(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.242147 * 0.24\nAnswer: 1.25811528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**(-13\/4) assuming m is positive.\nAnswer: m**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 11*n + 10 = 0. Let y be (-27)\/n - (-62)\/(-155). Solve 10 + 10 = -y*z, -5*z = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139.75 > 13.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11*j + 19. Let c be o(-7). Let q be 46\/(-6) + (-2)\/(-3). What is the units digit of c\/(-10) - q\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - -15 - ((-10 - 4) + (2 - -16))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:23 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-11)*88\/(-48). Factor 0 + 2\/3*s**2 + v*s.\nAnswer: 2*s*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 413?\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*r - 103*r + 357*r)*(0 - 4 + 2)*(7 + 18*r - 5*r - 6).\nAnswer: -8242*r**2 - 634*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20869771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t = 286. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11850*h + 3248 = -20452 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 279, 962, 2101, 3696, 5747, 8254, 11217?\n\"Answer: 228*b**2 - b + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36091034 and 1547?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 32, 0, 4 in decreasing order.\nAnswer: 32, 4, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, w: 9}. Give prob of picking 2 q.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 14*y - 30 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/945 + -953\/7560. Sort -1\/9, k, 55 in descending order.\nAnswer: 55, -1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4187741 or 4187727?\nAnswer: 4187727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5274 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4483 divided by -11?\nAnswer: 4483\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 2*t - 1. Let r be q(-2). Suppose 0*i = r*i - 30. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Let s(m) be the first derivative of -m**2 - 3. What is r(s(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/188988301 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/3 - 24\/(-36). Suppose -3*n + 8*n - x = 122, -64 = -3*n - z*x. Let s = -21 + n. Solve s*i = 1 - 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218 + 1189 - 2407 - 828*a.\nAnswer: -828*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/30 - 281*j**2. Let r(q) = 2*q**2 + 37*q. Give d(r(f)).\nAnswer: 8*f**4 + 296*f**3 + 2738*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 6*r - 1. Let q be u(3). Let j be (-1)\/(2\/(-6)) + 5. Let g(t) = -3*t + 27. Let x be g(j). Solve l = x*l + q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 - 7*q**2 - 3*q**2. Let i(z) = -z. Calculate i(s(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 7*i - 5*b = 43, -2*b = 5*i - 80. What is the remainder when ((-16)\/6)\/(2\/(-48)) is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 8*p - 10. Let f be w(-5). Suppose -a + 4*q - f = 0, -a = 5*q - 10 - 3. Suppose 1 = -k, -3*v + a*k = -22 - 47. Round v to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13958 is divided by 341.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001011001011 (base 2) in base 16?\nAnswer: -12cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 114\/21841175?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 - (4 + -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214 + 219. Let a(o) = -6*o + 7*o + 8 + 0. Let g be a(-5). Solve -m = -p + 5*j, -g*p + 0*p - 17 = j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341024 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106930 divided by -2890.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 30243591.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, c: 18}. Give prob of sequence cc.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 46 (b) 1\/3 (c) -2 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/72 + (-140)\/(-48) and 67\/411?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24946381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 85, 141, 229, 343, 477, 625?\n\"Answer: -n**3 + 22*n**2 - 3*n + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6111.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 - k - 6. Let f = 9 + -1. Suppose -5*i - 33 = -f. Let s be c(i). Is -0.1 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 10 = -2*d. Let a = d - -5. Let k = -1206\/7 + 172. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 3\/5, -0.3, -2245?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.038 - 0.172. Let r = v + -1.79. Sort -0.3, -4\/7, r in descending order.\nAnswer: -0.3, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooobb. What is prob of sequence boo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 1690370?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2) - 2)*-12. Let d be 23\/3 - (-2)\/j. Let m(p) = p**2 + 10*p - 6. Let n be m(-11). Solve -8 = -5*u + r, d*u - 5*u + n*r - 16 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -730, -1066, -1402, -1738, -2074?\nAnswer: -2410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 844, 919, 996, 1075?\n\"Answer: c**2 + 72*c + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9290839?\nAnswer: 331, 28069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -5*s**4\/24 - 5*s**3\/3 - 13*s**2\/2 - 2*s. Let t(w) be the first derivative of c(w). What is the derivative of t(m) wrt m?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40010, 40190, 40378, 40574, 40778, 40990, 41210?\nAnswer: 41438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, -31, -136, 4 in decreasing order.\nAnswer: 4, 0, -4, -5, -31, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -66312 take away -785?\nAnswer: -65527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156515 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077844 (base 9) in base 5?\nAnswer: -122130114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 458 - 438. Find the third derivative of -v*j**3 + 13*j - 4*j**3 - 1487*j**4 + 1482*j**4 - 4*j**2 wrt j.\nAnswer: -120*j - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*i = -23, -5*i = 3*s - 3 + 2. Does 19 divide (380\/(-6))\/5*s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s - 51. Let k be c(-15). Find the second derivative of 51*v - 155*v**5 + k*v + 14*v**4 + 154*v**5 wrt v.\nAnswer: -20*v**3 + 168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352472, -352480, -352490, -352502, -352516, -352532, -352550?\nAnswer: -352570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 26*j - 5 - 28*j - 25*j - 33*j + 77*j + 32*j.\nAnswer: -3*j - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762119.\nAnswer: 283, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*i - 9 - 3 = 0, -4*i - 18 = 5*l. Let f(s) = -s**2 - 4*s - 13 - 10 + 21. Suppose 3 = -3*g - 0. Let o(p) = p**2 + p. Calculate g*f(j) + l*o(j).\nAnswer: -j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, m: 2}. Give prob of sequence mccm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 0.1, 2, 0.18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 10. Let z(b) = b**2 + 10*b + 9. Let r be z(-9). Suppose r = k - 13 - 5. What is the lowest common multiple of p(-7) and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 y, and 1 r when four letters picked without replacement from {y: 3, r: 2, d: 2, g: 3, c: 3, w: 1}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, 0.4, -5, 102, -328, 4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:03 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqoqqthoqtootq. Give prob of picking 1 h and 2 o.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 31*w**8\/168 - w**6\/120 + 227*w**5\/60 + w**4\/24 + 46*w**2 + 5*w. Find the third derivative of b(h) wrt h.\nAnswer: 3720*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 167. Let h = j + -177. Let b = h + 62.00000027. Round b to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.03, 21209?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -401, -452, -551, -716, -965?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 68. Calculate the remainder when 102 is divided by z(33).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 8*g + 5. What is the greatest common divisor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, w: 6, k: 2, e: 3, r: 1}. Give prob of picking 2 w.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (6 + -2 - 7) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -12*s - 63. Let r be i(-5). Let b(t) be the first derivative of -t**3\/3 - 3*t**2\/2 - t - 1. Let j be b(r). Which is greater: 2\/25 or j?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -379*r + 2 + 1 - 184*r**3 + 199*r**3 + 437*r + r**4 to g*r**4 + m*r**2 + s + y*r + q*r**3 and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/4 - 146013*c**2\/4 + 13745103*c\/4 - 323165655\/4 = 0. Calculate c.\nAnswer: -48765, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + s + (-3 + 5 - 1)*(2*s - 2*s + 2*s) - 4*s + s + 2*s + 7 - 7 - 4*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -14. Let z be (54\/4)\/((-3)\/(-6)). Let j = z - m. Solve j - 1 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:27 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652398999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, l: 4, y: 2}. Give prob of picking 2 l, 1 y, and 1 f.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/156 + 57\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, t: 4}. Give prob of picking 4 b.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 2:15 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1173713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1622995*d + 4869026. What is o(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3713*x**3 - 4606*x**3 - 385 + 385 - 5906*x**3.\nAnswer: -14225*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -5 + -1 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from wdmoovg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/39 - 17031\/(-91). Suppose -4*t + 7*t + 5*r - 629 = 0, 4*r = t - b. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - 3 - (-42 + 62).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 685942 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/12*-2 - 492\/18. Let b = 29 + w. Solve -2*f = -12 + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9506.649us?\nAnswer: 0.00015844415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxsdlssllllsslls. What is prob of picking 2 l?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = -60*k + 105*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. Let p(i) = i**3 - 55*i**2 - 6*i + 335. Let n be p(55). Solve -4 = -n*l + o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 124*w**2 + 4 - 130*w**2 - 4. Let z(d) = 7*d. Calculate u(z(x)).\nAnswer: -294*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51766 and 572.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1531*q - 1537*q - 19400 + 19400.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*c + (c + 2*c + 4*c)*(-1 + 4 - 1))*(6 - 3 + 3 + (3 - 4 - 1)*(1 - 3 + 0) + (-2 - 4 + 4)*(4 + 3 - 5)) to the form z + s*c and give s.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-34 + 16 + 14)) + 25.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1342, 10541, 35530, 84205, 164462, 284197, 451306, 673685?\nAnswer: 959230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2305343 (base 6) to base 3.\nAnswer: 12222200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 + 8*m. Let k be z(-8). Suppose k = -3*h + 5 + 1. Solve -2*p - h*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.1, 1\/2, -2\/7, -3, -1116, -0.03, -7?\nAnswer: -1116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 76, 48, 10, -38?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*a + 20, -6*y + 10*y + 4*a - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 370*d + 370*d - d**3 - 3*d**4 + 4*d**2 in the form o*d + z*d**2 + m*d**3 + s*d**4 + g and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 130440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = i - 844, -5*f + 4*i + 1423 = -661. Is f a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*h**2 + h**4 + 42*h**2 - 85*h**2 + h in the form i + b*h**3 + r*h + d*h**2 + m*h**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (429\/80)\/((-576)\/128) and -75\/22.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -44*i + 3. Let j be y(-2). Suppose d = 4*g - j, -3*d = 5*g - 67 - 68. Calculate the greatest common divisor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 3 - 4)*9\/(-6). Suppose 2*m + 21 = 5*l, -2*m + 0*l + 19 = y*l. Let k = -5 + 14. Sort k, -1, m.\nAnswer: -1, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 28. Suppose 3*a + 3*q = -6, 3*q + 15 - 49 = 5*a. Let d be j(a). Suppose d*l - m = -0*m + 2, -l = -2*m + 6. Which is bigger: 6\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 886 + 107. What are the prime factors of y?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67975300 to the nearest one hundred thousand.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151040 and 105610.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 55 = 101. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 48*u - 23. Determine f(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + 9*m + 0*m - 10*m + 1 in the form y*m + o and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 44*w**2 + 32. Let v(l) = 4*l**2 + 3. Let i(k) = 3*p(k) - 32*v(k). Let y(q) = 6*q**2. Calculate y(i(m)).\nAnswer: 96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -621*h + 971*h - 532*h + (-2*h - h + 4*h)*(0 + 11 - 4) in the form m + d*h and give d.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2, 1.4, 0.063, 1\/4962?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1085\/14)\/((-7675)\/9210).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 187154813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 4*g + 36. Let x be 126\/27*g\/(-8). What is the third biggest value in x, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 4, w: 3, o: 3, b: 6}. Give prob of picking 1 o and 1 w.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7013 rounded to two dps?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/((-27)\/(-30)))\/(2\/(-3)). Which is the nearest to -2\/3? (a) q (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, q: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42610850 rounded to the nearest ten thousand?\nAnswer: 42610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/147 and 82\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110011011 (base 2) in base 9?\nAnswer: 7525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72555979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3510 and 774?\nAnswer: 150930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/101, -3\/2, -23, 0.4, -5?\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1014.6 + -1013. Let p = 0.3 + -0.4. Which is the biggest value? (a) x (b) 1 (c) p (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101 in 2\/7, -0.3, 0.5, 28397?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297467 is divided by 16605?\nAnswer: 15182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 61, 3, -4, 5, 0, -133.\nAnswer: -133, -24, -4, 0, 3, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*h = -221*h + 5712. Suppose -32*i - h = -38*i. Does 48 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23419340 plus 2474575?\nAnswer: -20944765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -o + 8, 3*o + 4*u - 54 = 2*u. Let q = -34 - -34. Solve 5*x + w - o = q, 12 = 3*x - 5*w + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/3280 and -79\/3280.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (9 - (6 + 3)) - 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 180897 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/59717 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-9 - (7 - 3)) - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*y = 14, -2*y + 6 = 2*d - 5*y. Let x be (9 + d)*(-2)\/4. What are the prime factors of -1*10\/6*x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = -9*n + 138 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2. Let x(y) = -2*y - 3655. Determine x(n(i)).\nAnswer: -2*i**2 - 3655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*f + 23*f = 22*f - 75*f + 17360 for f.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4 - 1178\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18216058 + 18216058 - 360*o**3 - 2*o to f*o**3 + s + j*o + y*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3137816 rounded to 4 dps?\nAnswer: 0.3138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/8 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 - 147.5. Which is the second smallest value? (a) -5 (b) 2.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 313 (c) -2\/3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 0, 2, 3 in ascending order.\nAnswer: -6, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*y**2 - 939*y**2 - 15*y**3 + 608*y**2.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**4\/2 - b**3 - b**2\/2 + 4*b + 10. Calculate the remainder when 61 is divided by c(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 92*p - 312. Calculate the remainder when w(-64) is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + 2*o)*(1 - 5 + 2) + (-65*o - 107 - 105 + 211)*(1 + 0 - 8).\nAnswer: 451*o + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24920 - -25046. What is the remainder when 1358 is divided by q?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2064)\/(-18) - 3\/9*-1. Let s(x) = -8 - x**2 + 8*x**2 - k*x + x**3 + 213*x - 108*x. Calculate s(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14510648.\nAnswer: 2, 73, 24847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 + -113. What is the second derivative of 16*d**2 - z - 547*d + 14 + 14*d**2 + 548*d wrt d?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*j - 4, -4*i = -4*j - i + 2. Let a = -1 + j. Let o = 3 + -3. Is o less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11352 and 16632.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9 - 40\/(-15). Let y be -5*(24\/(-10))\/3. Suppose m = -o*t + 19, 3*m = -t + y*t - 15. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008222835 to 7 decimal places.\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 4*k - 20 = 0, 3*r - 5*k + 93049 = 93032 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -221010011?\nAnswer: 221010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39460544, -39460545, -39460548, -39460553, -39460560, -39460569, -39460580?\nAnswer: -39460593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19582749 and 2876562.\nAnswer: 509151474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 7. Suppose 0 = 5*u - x + 41. Let j = -5 - u. Solve -2*a - 5*g - 4 = 0, -j*a + a + 5*g - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:54 PM?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 12. Let j be p(-17). Put -10, 1, j in increasing order.\nAnswer: -10, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = -8*v - 63. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 + 2. Suppose 3*l + 0*l = n. What is the remainder when l is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2. Let g(m) be the third derivative of m**4\/12 - 10*m**3\/3 + 24*m**2 + 6*m. Give u(g(d)).\nAnswer: 12*d**2 - 240*d + 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3 (c) -5.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963858.\nAnswer: 2, 3, 7, 53, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/214176 and 89\/3266184?\nAnswer: 13064736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(13)*-1 + -3 + sqrt(637))**2.\nAnswer: -66*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -25, -109, -263, -505?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -116. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 = -3*u + 2, u - s = 3. Is u at most as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h - 289 - h**3 + 0*h**2 + 320 - 3*h**2 + 3*h. Let y be i(-3). Solve 5*n + y*s - 11 = 1, s - 3 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 28506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 2103?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 8, 3*r - 45 = -3*h + 6*r. What is the remainder when 2\/8 + 342\/8 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, j: 2, m: 2}. Give prob of sequence jm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*c**2 - 63*c**2 - 15*c**2)*(9 - 5 - 2).\nAnswer: -196*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2581, 5439?\nAnswer: 5439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 191\/(-21) - 64\/(7808\/(-1098))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 2 t when four letters picked without replacement from {d: 3, t: 4, k: 3, x: 6, m: 2}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 4, u: 1, z: 5, s: 1}. Give prob of picking 2 z.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 14 = -4*s, 3*s - 8*s = 5*p - 10. Let b = p - -8. Solve -2 + 12 = -b*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3897 - -152. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/182 + 708\/(-28) + 25.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -7\/4 (b) -2\/11 (c) -172 (d) -0.3 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (0 - (4 + -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/(-7) - 6\/21. Let b = -38 + 64. Suppose -k - 13 = 8*n - 3*n, -2*k + b = -3*n. Solve 4*t - 1 = w, -s*w - k = -3*t - w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23041*s + 46170 = -23031*s. Calculate the greatest common divisor of s and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 7:16 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/8 - 143321*j\/2 - 4012939\/8 = 0. What is j?\nAnswer: -573277, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -11 + 66. Let b = r + 71. Find the third derivative of -13*w**2 - 24*w**4 + 14*w**2 + b*w**2 wrt w.\nAnswer: -576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-228)\/(-10) - (-12)\/(-15). Solve 4*d = f*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 21 = -25. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1380 + 1397. Let n = -26.5 + 26. Let j be (-3 + 4)*2\/(-2). Sort j, y, n in increasing order.\nAnswer: j, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79253 - 7490 = 5836*p - 4798*p + 5331 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2 - 9*i - 12. What is the lowest common multiple of 240 and u(-2)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1841*z + 5*w = -1839*z - 24, z - 72*w - 4*w - 78 = 81 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, r: 1, p: 1, v: 2, k: 13}. Give prob of sequence pk.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-4)*46\/115?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:01 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2829776 at most -2829780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*t**3 + 479*t**3 - 10*t + 476*t**3.\nAnswer: 652*t**3 - 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*r + 126 = -3*r, -4*o + 5*r = -170. Suppose -3*h = h - o. Suppose 5*d = 3*d + h. Solve 0 = -d*s + 3 + 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5603 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2. Let z(g) = 11*g**2 + 6*g**2 - 9*g**2 + 9*g**2 - 62*g**2. Determine z(p(h)).\nAnswer: -1125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -14. Let g = -343 + 362. Solve p = 2*j - g + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5119*f - 18 = 5122*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 486269?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16675*n**3 - 89*n**2 + 730.\nAnswer: -100050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2*6)**2 - sqrt(18)\/(sqrt(9) + -2*sqrt(9)).\nAnswer: sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + x - 90 = 0, 7*x = -5*z + 10*x + 136. Suppose 0 = 46*p - z*p - 51. Solve 2*a - f = 8, a + 3 = p*f + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 14)\/(860\/40 + 1\/(-2))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**3 + 4*m**2 - 2*m - 1. Let l be z(2). Let d(x) = -2*x + 21. Let i be d(9). Suppose -i = -2*b + l. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74783 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3036 by 6.\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 + 4*t - 4. Let c be x(3). Which is bigger: 1\/41 or c?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -38. Let l(i) = i**3 - 5*i**2 + 3*i + 4. Let m be l(n). Is m >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 18. Let n be k(6). Suppose -u + 1 = -n*u. Solve h + 4 = u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -2*k - 52, -24*x = -23*x + 2*k - 1 + 8 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2834032992.91 plus -4.41?\nAnswer: -2834032997.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73642 is divided by 84?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25614, -51294, -76974, -102654?\nAnswer: -128334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 - 2 = 0. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -97 and -3185110600?\nAnswer: 3185110503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 38\/7)*14\/2. Sort q, 3, -1.\nAnswer: q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.605 decades in years?\nAnswer: 8596.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/302 and 3\/10.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 4. Let y be ((76\/(-1900))\/(3\/6))\/(-3*(-3)\/45). What is the biggest value in y, z, 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 240*f + 2035.\nAnswer: 5*(f + 11)*(f + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/120 + v**5\/15 - 11*v**4\/8 + 5*v**3\/2 + 165*v**2. Calculate the remainder when 228 is divided by j(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61778943 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/6 + (-20)\/12. What is q in -2\/3 + 2\/3*q**u - 2\/3*q + 2\/3*q**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -2*u**2 + 24. Let w(q) = -2*q**2. Determine o(w(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27673 - 450399.\nAnswer: -422726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * 1.1.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d**3 - 2*d**2 + 1. What is l(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -365, -727, -1089, -1451, -1813, -2175?\n\"Answer: -362*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, t: 1, m: 1, g: 4, z: 1}. Give prob of picking 1 z, 1 m, and 1 q.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1626.219693us?\nAnswer: 0.0000000026888553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1) + (-6)\/(-6). Let c(n) be the first derivative of -2*n**2 + r*n - 2 + 2\/3*n**3. Factor c(l).\nAnswer: 2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 36, -2, 1035, -1 in increasing order.\nAnswer: -2, -1, 3, 36, 1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496618981.\nAnswer: 617, 804893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 6 + -4 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 28 = -112. Suppose -3*p - 100 = -f. Calculate the common denominator of 34\/5 and 221\/p - 4\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.858 - -0.142. What is the closest to i in 1\/8, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 29*r - 1. Let k be q(8). Let p = 394 - k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 209. Let j be 115\/f + (-3 - -1). Let w = j + 7\/6. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -108. Let p = -47 + s. Let x = p - 13. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 1:39 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 22*j**2 + j - 24. Let f be g(22). Let p(k) = -3*k. Let h(x) = -13*x - 1. What is f*h(b) + 9*p(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 6*t**2 - t + 3. Give x(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 877, 2122, 3863?\nAnswer: 6100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 9209808?\nAnswer: 64468656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 14*j**5 + 275*j**4\/4 - 20*j**3\/3 - 2120. Solve r(i) = 0.\nAnswer: -4, 0, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 9*a + 6. Let s(y) = -y**2 + 8*y + 6. Let p(z) = -2*m(z) + 3*s(z). What are the prime factors of p(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 1aa?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -57*g - 1860. Let w be s(-33). Let x(k) = -k**3 + 23*k**2 - 40*k - 43. Determine x(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -3*p + 2. Let x be (-268)\/p + (-3)\/(-5). Suppose -2*a - 15 = -5*t + 6, 0 = 3*t - 15. Calculate the highest common divisor of x and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (11001\/(-2))\/(-3) + 136\/(-272)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v. What is r(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23270*r**2 + 11985*r**2 + 9321*r**2.\nAnswer: -1964*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1904 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5ab4a8 (base 13) to base 12\nAnswer: -886100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11338 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 1:53 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*a + 622762 - 3268066. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14234 + -14252. Suppose -d = 8 + 11. Which is greater: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8856 and 161269.3089.\nAnswer: 170125.3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/7 (b) 23 (c) 457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73963372 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44268 and 420.\nAnswer: 221340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 39 = 24*o. Let f be (7203\/245)\/(o\/10). Suppose -2*g - 42 = -5*g. What is the highest common factor of f and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(2 + (-13)\/4). Suppose -d = l - 111, 2 = -d + i. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166.6241 - -21.4729. Let v = -166 + -22. Let r = v + k. What is r rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - ((11 - (24 - (-9 + 15))) + 13).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - h. Let g(c) = 8*c**2 + 9*c. Let w(s) = 2*g(s) + 18*k(s). Let x(l) = 3*l - 6. Let o be x(4). Let a(v) = -o*v + 3*v + v. Determine w(a(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2916867828 to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c - 2. Let w be i(1). Let g = w - -1. Solve 0*z - 16 = -g*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -84, -51, -8, -1.\nAnswer: -84, -51, -8, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -416 + 600. Let b = -193.1 + q. What is b rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 11. What is the units digit of (-42)\/i + 0\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96773 = 1490*v + 569*v for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 + 0.147\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = 50*q - 140 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7487?\nAnswer: 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1 + (6 + 2 - 2)*(-23 - 20 - 12))*(-5*x**2 + 4*x**2 + 5*x**2).\nAnswer: -1312*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2240) - (sqrt(2240) + 4*sqrt(2240)*-4))\/(sqrt(720) + (sqrt(720)*-4*-5 - sqrt(720))).\nAnswer: -16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110021 (base 3) to base 10.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-25) - 299\/325.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13228 or -357133\/27?\nAnswer: -357133\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9*t**3 - 44\/9*t**2 + 0 + 10\/3*t.\nAnswer: -2*t*(t + 5)*(5*t - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*b**3 - 37*b**3 + 82*b**3 + 42.\nAnswer: -b**3 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(256)\/sqrt(2)*-3)**2 + sqrt(20)\/(-3*sqrt(10)*-1)).\nAnswer: 2*sqrt(2)\/3 + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = 0, -4*i - 13 = 3*u - 0*u. Let k be 3\/((32 + i)\/(-4)). Let m = -0.1 + 0.2. What is the third smallest value in -5\/2, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 44 (b) 2 (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (19 - 31 - -27)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o - 3. Let r(y) = -23*y + 7. Give -7*p(q) - 3*r(q).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -348, -20109, -1.\nAnswer: -20109, -348, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178149 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243*o**2 + 123*o - 1.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n - 6*n + 3*n)*(-456*n**2 - 52705*n + 52705*n) in the form p*n + z*n**3 + t + w*n**2 and give z.\nAnswer: -2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*x + 343*x + 4*s - 146 = 0, -18*s + 15*s + 56 = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -1. Suppose -2 = 4*i - 2*i + k*m, 3*i - 4*m - 17 = 0. Is 15 a factor of ((-2)\/i)\/((-8)\/444)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8956 + 9128. Calculate the remainder when m is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*n + m - 132, 3*n + 4*m - 85 = 0. What is the remainder when n is divided by (-3)\/18 - 49\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11351, 22849, 34347?\nAnswer: 45845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0 - s**2 + 2 + s as b*s + u + l*s**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -6 - 0) + 0. Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8939484*0.04\nAnswer: -357579.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 702400911 to the nearest integer?\nAnswer: 26503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311117*j + 15652 = -310753*j for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = -m, 5*z + 0 = 2*m + 10. Let w = z - 2. Let k be w - -2 - (-1 - 1). Solve -l - 21 = k*l + 4*d, -3*l = -2*d + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 10. Let d be v(4). Let g be (2\/4)\/(d\/(-2360)*-1). Round g to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 7*n**2 + 8*n - 6. Let x be i(5). Let v = x + 31. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6143156*u**3*x + 732067*u**3*y - 2*u*y - 2*u - x*y with respect to x.\nAnswer: 6143156*u**3 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*u + 6*u. Let v = 4\/39 + -10\/39. What is the nearest to u in v, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(10\/11))**(-3\/32)*(v*v**(-11))\/(v\/(v*((v**32\/v*v)\/v)\/v)) assuming v is positive.\nAnswer: v**(3505\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81079201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*f - 560*f + 206*f + 130*f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 65 = 4*b + 2*w, 4*b = 3*w - 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702144 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: What is the closest to -11.8 in 0.35, 5\/4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120*q**3 + 16*q**2 - 2*q - 2499 wrt q.\nAnswer: -360*q**2 + 32*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26386 or 26385?\nAnswer: 26386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 911581 - 41?\nAnswer: 911540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4 = -4*y, -3 + 9 = -3*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*z + 2389, 0*g - 5*z + 1413 = 3*g. What are the prime factors of g?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*180\/2. Let z be (m\/(-9))\/4*-21. Suppose -2*t + 7*t = z. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-3 + 2*(-2*sqrt(112)*1 + 2))*-2)**2.\nAnswer: -128*sqrt(7) + 7167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1145 + -1145.45459. Round n to two decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 131, 696, 1637, 2954, 4647, 6716?\n\"Answer: 188*y**2 + y - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1276 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8091 and 10788?\nAnswer: 32364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 - 4*c**2 + 5*c**2. Let b(p) be the second derivative of 2*p**3\/3 + 2*p. What is b(w(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22486 or 22480?\nAnswer: 22480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 1, 2 in ascending order.\nAnswer: 1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(24)\/(sqrt(36)\/sqrt(3)))**2 - ((1*sqrt(162))**2 + sqrt(162))))*2.\nAnswer: -326 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q + 8. Let o(k) = 18 - 17*k**q + 23 + 16*k**2. Let s(i) = -2*i**2 - 10. Let p(t) = -2. Let u(h) = 5*p(h) - s(h). Give o(u(m)).\nAnswer: -4*m**4 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22\/63, 2004, 0.5.\nAnswer: -22\/63, 0.5, 3, 2004","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89177.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Let m be 15*6*(-1)\/(-18). Suppose 27 = 5*k + m*i - 33, -5*k - i = -44. Solve c = -b*c + k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9025, 18051, 27093, 36157, 45249, 54375?\nAnswer: 63541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 79*k - 19. Let i(r) = 434*r - 94. Let c(b) = -2*i(b) + 11*x(b). Determine c(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7287, -13913, -20539, -27165, -33791, -40417?\nAnswer: -47043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-651)\/(-18) + 8\/(-12) and -17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535754 a multiple of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -31, 0.3, 1490, 2\/3 in descending order.\nAnswer: 1490, 2\/3, 0.3, -0.6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 367129306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295047234 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398 + 394 - 22*v - 806.\nAnswer: -22*v - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/75)\/(-1))\/(12\/(-30))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - x**2. Let q(v) = -6*v**3 + 4*v**2. Let f = -495 + 496. Give f*q(b) + 4*u(b).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5016229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j + 0*j)*((0 + 1 - 2)*(-4 - 3 + 5) - 3 + 0 + 0)*(22*j - 5*j - 2*j).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = 8*p + 51 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v**2 + 20*v**2 + 27*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**5 + 5*n**4 - 11*n**3 - 9*n**2 + 16*n - 4 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s + 5*g - 36, -9 = -s + 4*g. Suppose 0 = -3*p - 0 + s. Solve -1 = p*m + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 10, 0*g + g - 3*t = -18 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + g + 47192, -20*y - 94369 = -22*y - 3*g. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (33530\/7)\/(-10). What is the highest common factor of g and 360?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526948 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: Round -379.83 to the nearest integer.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-234))\/((-36)\/(-54)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22405 divided by 969.\nAnswer: 22405\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (0 - 2\/1) + -507. Let a = z + 761. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 924 divided by 44.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21445*x**4 + 6717.\nAnswer: 85780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - (-5 + 25\/10))*600\/45.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -811 - -0.3?\nAnswer: -810.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -128\/3613 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m - 29. Let q(x) = -x**2 - 1. Let r(i) = i**2 - i + 3. Let d(n) = 2*q(n) + r(n). Let o(p) = -2*d(p) - v(p). What are the prime factors of o(-8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -11. Suppose y = -4*y + f*j + 180, -5*j - 25 = 0. Suppose 4*h + 0*a + a = y, 3*a = 3. Solve -o - 5*w = 2*o + h, 3*o - 4*w = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 855*u + 851. Let d be x(-1). What is the fourth smallest value in -2, 1, d, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {q: 1, m: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnaalallnlnalnnlnba. Give prob of sequence bala.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 141, 350, 643?\n\"Answer: 42*l**2 - l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -65. Let o be -5 - (-10 - r) - (2 - 0). Let p(q) = -4*q**2 + 3*q**2 - q + 3*q. Determine p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32024949*0.1\nAnswer: -3202494.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -32*r**2 + 86*r - 167. What is l(2)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.0429 (b) -2\/1785 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*48\/12. Suppose 3*t = b*t - 15. Let g(d) = -2*d**2 + 26*d + 5. What is the remainder when g(13) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 9 = 11. Suppose -2*t - z*t = -48. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/197736 and 80\/7011.\nAnswer: 462109032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 4*q + 2, 2*y + 3*y - q - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 213*u**2 + 10*u - 28. Let v(y) = -y**2 - y + 15. Let b be v(-4). Is z(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 5962770.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(88) + (sqrt(88)*3 - sqrt(88)))*4*6)\/(-5*(3*sqrt(72) + sqrt(72))*4).\nAnswer: 9*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 654317 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 650094 and 100?\nAnswer: 65009400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, m: 3, i: 3, y: 4}. What is prob of picking 1 m, 1 y, 1 i, and 1 c?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 3*l + 276 = 0, -2*q - 3*l = -6*l - 76. Let z(m) = -m**3 - 5*m**2 - 3*m + 3. Let v be z(-5). Suppose -q = -h + v. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -17*v + 122. Let c be w(7). Suppose -4*f = 3*k - 192, -4*k = 2*f - f - 35. Suppose -5*g = 4*n - f, -g + 6*g - 19 = 4*n. Solve z - c + g = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -71*l**3\/3 - 334*l**2 + 14. What is the second derivative of w(q) wrt q?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19953275, -19953273, -19953271, -19953269, -19953267?\n\"Answer: 2*l - 19953277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002012201 - 0?\nAnswer: -10002012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22044, 33540, 45036?\n\"Answer: 11496*p + 10548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.087 + -3.1. Let x = -50.013 - z. Let v = x - -50.000094. What is v rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129*b**2 + 3*b - 51 wrt b?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39 - 140 + 42)*((-1 + 0 + 2)*(5*o - 5 + 5) + 0*o + o - 3*o) to a*o + m and give a.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 5. Let k = 30 + z. Let p(g) = -g**3 + 6*g**2 + 10*g - 6. What is the remainder when k is divided by p(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -47, -104, 9, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96.94 + -95. Let a = 1.74 - l. What is the third biggest value in a, 8, -2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606140 < 2606142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -35*w**2 - 7*w - 8. What is o(-2)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1184295524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 4*y**2 - 14*y - 5. Calculate h(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 2 + 5 = 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 + 12 - 9 + m + m**2. Let w(h) = -h**2 + 1. Let b(q) = n(q) - 2*w(q). Let z(v) = -5*v**2 + 5*v + 5. Give 9*b(k) - 2*z(k).\nAnswer: k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 + 0*n**2 + (3*n - 2*n + 3*n)*(n + 1 - 1))*(-2 + 2*n**2 - 2 + 7).\nAnswer: 10*n**4 + 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1372155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.8 (c) -18.19 (d) 1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -136512576 + 1?\nAnswer: -136512575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -166382839.\nAnswer: -66553135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29248 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11422764*b + 94319963.\nAnswer: -11422764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 7*a**2 + 30*a - 106. What is r(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, a: 1, h: 4, r: 4}. Give prob of sequence rrkk.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*f + 2411*f - 606*f - 600*f - 591*f.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 37866*z - 265089. Calculate o(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -766 - -2299\/3. Let t(r) be the first derivative of g*r**3 + 8 + 0*r**2 - 1\/4*r**4 + r. Give t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j*l**4 + 18*j*l**3*y**2 + 3756*j - 11961*l**3 + l**2 - 120*y**2 wrt l.\nAnswer: -48*j*l + 108*j*y**2 - 71766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {s: 4, p: 4, z: 1, d: 2, w: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10759 and 327964.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152564 is divided by 76280.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 6*g + 90. Let d = g - -55. Is d at most -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, j - 1 = c + 13. Suppose 4*v - 28 = -5*n, -v + 3*n + n = j. Solve -f - 5 = -v*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + -536?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -5. Let q = 11 - r. Let p(t) = -t**3 - 4*t**2 + 4*t. Let x be p(-5). Sort -1, q, x in descending order.\nAnswer: x, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.32 to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1871 = 3*n, 0 = 4*n + 216 - 184. Sort 0, 2\/17, y, 5 in increasing order.\nAnswer: y, 0, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.76 - 0.759802. What is x rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29493 by 1351.\nAnswer: -29493\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4436 in 1.9, 5, -3\/8, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100113221010 - 0?\nAnswer: -100113221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 13167256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5752166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 2*h**3 + h**3 + 31 - 107*h**2 + 118*h**2. List the prime factors of d(8).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.48045 to two decimal places.\nAnswer: 5.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k - 41*k + 68*k**2 - 71*k**2.\nAnswer: -3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 6. Let i = -11 + 21. Let x be 26\/i - 4\/(-10). Solve -x*m = h - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**8\/5880 - g**7\/2940 + g**6\/1260 + g**5\/420 + 2*g**3\/3 - 2*g**2. Let x(n) be the first derivative of o(n). Factor x(k).\nAnswer: -2*k*(k - 1)*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08287 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 644 in 2, 4.85, -2?\nAnswer: 4.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442 - -3?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3710 and 57\/5.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = b - 7*n + 3*n, -9 = -2*b + n. Let d be -2 + 23*b\/(-2). Let m = -12 - d. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 3*y**2 + y - 4. Calculate f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882187 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 22, -9182, -2, 1, 3 in decreasing order.\nAnswer: 22, 3, 1, 0, -1, -2, -9182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwwhww.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5521 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -1)\/(17\/(1105\/10) + 645358\/1612)\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 907\/133 + -47\/7. What is the third biggest value in 3, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2775?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58561171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 598307812 to the power of 1\/3, to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21161 + -40?\nAnswer: 21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(2) + sqrt(18) + -1 + (-4*sqrt(64))\/sqrt(8).\nAnswer: -4*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1487 divided by 6241\nAnswer: 1487\/6241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 128995*k + 1160956. What is c(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f**2 + 1 + 2*f - 5 + 3. Let t be n(1). What is the derivative of t*b**2 - b**2 - 37*b**2 + 10 wrt b?\nAnswer: -50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of ((-104)\/(-3))\/((-2)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, b: 10, l: 2, t: 2, c: 1}. Give prob of sequence ttll.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2304 - 2303.0087. Let c = 0.0127 + z. What is c rounded to two decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 216.2 + -214.9. Sort -5, f, -3, -0.3, -0.2 in descending order.\nAnswer: f, -0.2, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1063 and 7?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 326626728 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132807921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 2 + (3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 2. Let q be t(-2). Suppose 0 = -q*p + 79 + 77. Let d be (13\/p)\/((-2)\/(-12)). Solve 5*m - d*z + 25 = 0, 4*m + 0*z - z = -17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-18))\/(1932\/(-252))?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 5*t**2 - 9*t - 17. Let g be k(-4). Suppose 5*f - 568372 = -g*r + 2801622, -2022010 = -3*f + 5*r. Round f to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5. Suppose 0 = -3*b - 4*d - 21, 4*b - 3*d - 2*d = -28. Let n be (-2)\/b - (-64)\/(-126). Is n equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1563*-0.79\nAnswer: -1234.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19138197 is divided by 615.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -40*h**3 - 3*h**2 - 4*h - 1. Let j be q(-2). Suppose -2*z - 2*z = 5*o + 330, 3*z + 238 = o. Let f = j - z. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-187))\/(16\/20*345\/506).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4\/2 + 33*s**3\/2 - 81*s**2\/2 + 75*s\/2 - 12 = 0 for s.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-213)\/6*(0 - -18). What is the remainder when i\/(-12) + 4\/(-16) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*u**3 + (-2*u**2 + u**2 + 2*u**2)*(u + 2 - 2))*(3 - 5 + 0)*(u - 4 + 4).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -49) + -3 + 8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -28.1. What is the nearest to l in 1\/4, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/10 + -1 - 1. Suppose 3*n + 36 = -0*n. Let m = -16 - n. Put -0.1, m, c in descending order.\nAnswer: c, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = -2*f + 11, -4*h + 2*f + 8 = 0. Suppose 5*x + 5*a - 30 = 0, 4*x - 5*a + 3*a - 36 = 0. Solve 0 = -4*m - 3*z + 4, 2*m - h*z = -x - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 29*q\/4 - 30.\nAnswer: -(q + 5)*(q + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxg when three letters picked without replacement from gyyxxyx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88 + 5?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6)*y*y\/(y\/y**(-2)*y*y))\/(y**(-3\/4)*y*y*y*y*y*y*y**7\/y) assuming y is positive.\nAnswer: y**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 26.807426?\nAnswer: 241.266834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 849594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*j - 19*j + 9 + 41*j to the form f + v*j and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 15*a**2 - 13*a + 5. Determine j(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7483016 - 13763930. Let k = 5609086 - a. What is k rounded to the nearest 100000?\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let b(o) be the third derivative of o**7\/5040 + o**5\/20 - 3*o**2. Let k(a) be the third derivative of b(a). What is k(i(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1015 (base 16) to base 8\nAnswer: -10025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87035 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 + 72. Is (-3 - 16)\/(5\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) -0.5 (c) -3 (d) 117 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11336\/107519 + 32014139812\/27202307. Let v = -1177 + i. Let w = 9363\/506 + v. Is 20 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 245*i**2 + 989*i - 1753. What is w(-249)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + (4 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 4*v - 4*v + v. Let a(l) = l**2 + 4*l - 2. Let s(n) = -a(n) - 4*w(n). Let m(i) = -3*i**2 + 9 + i + 0*i - i**2. Give -2*m(f) + 9*s(f).\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12830632, -25661259, -38491886, -51322513, -64153140?\n\"Answer: -12830627*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3103560 and 16.\nAnswer: 6207120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-268)\/(-3484) - 70\/1586?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214976 is divided by 1641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/3 - 1\/(-3). Let y = 8.9 + -9. Which is the closest to -2? (a) v (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.1 + 31.2. Let l be (-28)\/33 - (-14)\/21. Which is the closest to s? (a) 6\/5 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let x(l) = 231*l + 19. Calculate x(o(u)).\nAnswer: 462*u + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3 - 3) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 418 and 418 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 781 - 781.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 - -11?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69549, -69554, -69555, -69546, -69521?\n\"Answer: j**3 - 4*j**2 - 69546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*p - 12, -s - 4*s = -15. Suppose 2*m - 564 = -p*c - m, m + 910 = 5*c. Suppose 5*u - c = w - 49, 112 = 4*u - 2*w. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 652651 + -22?\nAnswer: 65262b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4088 + 8526. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*y - 30. Suppose 0 = 4*h - 2*h - 3*w - 126, -y*h = w - 332. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * -1433899\nAnswer: 272440.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + 9. Let o(s) = 2*s + l - 24. Let c(d) = 4*d. Determine o(c(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 349242937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfppppffppp. Give prob of sequence fppp.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - 3) + (4 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**4 + 615*k**3 - 80*k + 3 wrt k?\nAnswer: 24*k**2 + 3690*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/12 (b) 1\/67 (c) 0.4 (d) -4 (e) -157\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*n + 13. Let m = n + -6. Let z(h) = 3*h - 1. What is the remainder when z(6) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 4. Let t = -6 - -7. Let b be s(t). Solve -4*f = -4*y + 16, b*f - y + 3*y = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 11 = -4*k + s, -27125*k + 27127*k + 2 = 4*s - 2 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -5*h**4\/24 - 17*h**3\/6 + h**2. Let p be ((-4)\/5)\/(2\/5). Let i = -7 + 16. Let t(w) = -w - 4. Determine i*t(f) + p*v(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q - 55. Let f be b(9). Does 19 divide -2 + (-32)\/(-14) - (-3980)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 1\/6 (b) 16 (c) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 3\/2*p**2 + 6 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 195. Let o be n(0). Suppose -17 = -2*v + o. What is v rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g - 54*g + 12*g**2 - 10*g**2 - 5*g**3.\nAnswer: -5*g**3 + 2*g**2 - 69*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3645 (base 8) to base 2.\nAnswer: -11110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.608922 decades to months.\nAnswer: 433.07064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 1:58 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*u - 2. Suppose 77 = u*s - 43. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l + 3\/10*l**5 - 17*l**2 + 0 + 4*l**3 - 1\/40*l**6 - 3\/2*l**4. Factor k(t).\nAnswer: -3*(t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6362 - 2.57. Let r = -0.072 + h. What is r rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*1925\/(-90) + 2\/4. Let p = h + -65. Let x = 1.2 + -1. Is p not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -26*y - 66. Let o be q(-10). Suppose o*u - 1835 = 189*u. List the prime factors of u.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (-3642)\/(-2)*7\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2299900 and 44\/545.\nAnswer: 2299900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 10781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 9 - -5 - (-1 + 6)) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 24768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 85\/3. Let v = -3.75 + 0.75. What is the nearest to x in -0.2, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 + (7 - 4))*-1. What is the remainder when (-132)\/y*(-6 + -1) is divided by (85\/10)\/(2\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2. Let d(j) = j + 3. Calculate 3*d(l) - 4*h(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 3*t - 15 = 0, 2*u - 15*t = 265 - 228 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/46536 and -41\/302484.\nAnswer: 604968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 6. Let a be b(3). Suppose 5*x - 8 = 2. Let t(u) = 5*u - 2. Let y be t(x). Solve a*v = -2*v - y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 5, v: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116\/185 + -117547\/1295. Let c = z - -90. Let d = 4.1 + -0.1. What is the nearest to 0 in c, d, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -53, -58, -65, -74, -85, -98?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h + 1. List the prime factors of f(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*t + 12 = -111*t - 115*t + 341*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 11*y + 11. Let w = -746 + 758. Calculate c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z**2 - 2. Let y(g) = -16*g**2 + 2. What is -4*l(q) - 6*y(q)?\nAnswer: 36*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h)\/h)**23*(h**(-1)*h)\/(h*h**(-2\/23)\/h) assuming h is positive.\nAnswer: h**(1060\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -18 - 775\/(-225)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176973 is divided by 8654?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-10983)\/(-3668) + -3). Suppose -12*v + 10*v + i = 0. List the prime factors of v.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3893*a - 959*a = 18208 + 75680 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-24)\/(z*z\/(((z\/(z**(-11\/6)*z*z*z))\/z)\/z))*((z**(-1)*z)\/z)**(13\/6) assuming z is positive.\nAnswer: z**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.1. Let b = -20 + 12. Let p = b + 7.7. What is the third biggest value in 0.3, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 - 53. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*h**3*l**3*x**3 - h**3*l**3*x - h**2*l**2 + 10*h*x**3 - 2*l**3*x**2 - 2*l*x wrt h?\nAnswer: 84*l**3*x**3 - 6*l**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(-128*z - 116*z + 2 + 230*z)*(z - z + z).\nAnswer: 42*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 - 6*y + 3. Suppose 6 - 36 = -5*m. Let p be u(m). Suppose 5*w + 32 + 13 = 5*x, -p*x - 4*w + 48 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2531, -0.3, 1, 2.8, 0.4, -2\/7 in descending order.\nAnswer: 2531, 2.8, 1, 0.4, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -33*t**3 + 8*t**2 - 92*t - 29. What are the prime factors of j(-10)?\nAnswer: 113, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65231.\nAnswer: 37, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - f - 1. Let j be z(0). Let t = -34 + 38. Suppose a + t*a + 50 = -5*o, -4*o = -4*a. Put 2, j, o in decreasing order.\nAnswer: 2, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002011 (base 3) to base 9\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -508948, -509010, -509072, -509134, -509196, -509258?\n\"Answer: -62*d - 508886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23743.709 and -2?\nAnswer: 47487.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - a + 0*a + (-1 + 3 - 3)*(-7 + 7 - 3*a) in the form t*a + d and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.11 + 1. Let t = x - -0.08. Let b = t - 0.37. What is the closest to -0.1 in b, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-870 + 833 - (1 - 8)) + 22?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1804*g - 337311. What is r(-187)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(12\/(-9)) - -9. Let f = 4 - a. Let h(b) be the third derivative of -b**5\/60 + b**4\/8 + b**3\/3 - 2*b**2. Calculate h(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((6*(sqrt(931) + 0) - sqrt(931)) + -2*sqrt(931)*4 + -2 + -2 + sqrt(931) + sqrt(931)*2 + sqrt(931) + -2)**2.\nAnswer: -5802 + 504*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -14*z + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, 1939, 4, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 5494*t**3 - 49338*t**2 + 147906*t - 147852.\nAnswer: -2*(t - 2738)*(t - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -55, -98, -151, -214, -287?\n\"Answer: -5*n**2 - 18*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1717 - -1718. Which is the closest to g? (a) -2 (b) 6\/5 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 34*c + 105. Let d be q(-3). Solve d*o = 6*o + b + 11, 1 = 2*o - b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 2:18 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvi when three letters picked without replacement from {y: 4, d: 3, i: 2, h: 2, v: 1, k: 6}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5806685 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 2*u**2 + u + 6. Let i be z(-3). Let q be i\/(1 + (2 - 5)). Which is greater: q or 1.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-20) - 15) + 7 + -2*(-708)\/2768.\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 175659680 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/24 and (-30)\/105 + (-641)\/(-896).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -548, -1085, -1622, -2159, -2696?\n\"Answer: -537*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 8. Suppose -2*s + 0*s - 10 = 0. Let r = s - j. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6234, -24857, -55880, -99303, -155126?\nAnswer: -223349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.21753 and 162?\nAnswer: 161.78247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060 divided by 212?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-71)\/3905)\/(18\/(-590)) and 107\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*p + 268 + 820 = 503*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - a + (-3*a - 6 + 6)*(-2 - 1 + 2) to the form l + t*a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60734351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 894510523 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219597 (base 11) in base 12?\nAnswer: 863516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -353*x - 1 + 438*x - 9*x**2 + 3 to k + b*x + r*x**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615678 and 10914.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 + 30 + 2*j + 12 to q*j + a and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 8*g**2 + 8*g - 2. What is the units digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-9))\/((-2)\/(-3)). Suppose 0 = 2*o + 6 - t. Calculate the lowest common multiple of (-4)\/((o\/4)\/1) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11049981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 93\/(-90) + (477\/54 - 8). Let s = 55.3 - 62. Let i = s + 7. Which is the nearest to 1? (a) m (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*n**2 + 5*n**2 - 7*n**2)*(-4*n - n + 3*n) + 2*n**3 - n**2 + n**2)*(-2157*n**2 - 2 - 3*n + 1073*n**2 + 1079*n**2).\nAnswer: 10*n**5 + 6*n**4 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -2*q**6\/45 - q**5\/15 + q**4\/3 + 2*q**3\/9 - 4*q**2\/3 + q + 244. Suppose p(r) = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 113, 340, 649, 1034?\nAnswer: 1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/40 - 2*u**5\/5 - 21*u**4\/8 - 9*u**3 + 24*u**2 - 6. Find p such that q(p) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975781 times -0.1?\nAnswer: -397578.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (-198044)\/(-40) - 39\/390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o + 4 = 52. Let s be (-2)\/3*(-1 + 4). Let l be s\/4*(2 - 6). Is l <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3337 at least as big as -3338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) 2\/15 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 2. Suppose 10*u - 20 = 5*u. Calculate l(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -619 - -14d?\nAnswer: -4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 5. Let h(d) = 2 + 0*d - 3*d - 6. Let b be 1*(0\/(-2) - -2). Let j be (-6)\/(3\/b - 0). Determine j*w(u) + 5*h(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-7 - -23) - -11) + (-12 - 48).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*y - 20*y = 136*y - 3015 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 54495240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7)*n)**(2\/23))**(1\/7)\/((n**6\/n**(-1\/6))\/(n\/n**(2\/3)*n)**(-2\/41)) assuming n is positive.\nAnswer: n**(-575077\/92414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 + 231*j + 104. What is the thousands digit of q(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*f - 3*v - 158, -210 = -4*f + v. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - l**2 - l**2 + 2*l**3 + l**2 - 2*l**3 + 6*l**3 - l**3 + (463*l - 463*l + 19*l**3)*(3 - 2 + 2).\nAnswer: 62*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 7:04 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 589777.8cm in millimeters?\nAnswer: 5897778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2117214 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:03 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/30 and 4\/18 - 85075\/540585.\nAnswer: 8790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568bd (base 15) to base 6.\nAnswer: 5522441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/6 - 269*h**4\/3 + 2588*h**3 - 24528*h**2 + 73152*h = 0. What is h?\nAnswer: 0, 6, 12, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 41 = 5*p - 207, 0 = -2*z - 4*p + 112. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31424030 (base 5) in base 9?\nAnswer: 442447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b - 7. Let m(f) = 3*f - 5. Let v(r) = 5*d(r) - 7*m(r). Let p(h) = 2775*h - 5554. Let w be p(2). Let c(i) = -6*i. Calculate w*v(t) + c(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202.847 - 202.6759851. Let r = 0.171 - z. Round r to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = x - 2*v - 281, x = 2*v + 279. List the prime factors of x.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 146, 439, 880, 1469, 2206?\n\"Answer: 74*p**2 + 71*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 329651775 and 725233905?\nAnswer: 3626169525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.32 + 0.62. Let g = 6 - 6.4. Which is the biggest value? (a) g (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/34 and 67\/688?\nAnswer: 11696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let c(f) = -f**2 + 60*f - 2. What is -6*b(r) - c(r)?\nAnswer: r**2 - 66*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27087114 - 9?\nAnswer: 27087105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.74 + -28.26. Let d = 31 + z. Sort -1\/4, d, 0.8.\nAnswer: -1\/4, 0.8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + 5. Suppose -t*b = 4*r + 14 + 19, b = 4*r + 3. Are b and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 20*y**2 + 8*y + 6. Suppose -38 + 48 = -2*k. Let x(r) = 3*r + 2 - 1 + 1 + 7*r**2. What is k*h(z) + 14*x(z)?\nAnswer: -2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14614, -29247, -43880, -58513?\n\"Answer: -14633*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 125*o - 1225. What is t(71)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -1*110 - -3. Suppose 0 = -3*q + 6*q - k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2562150 and 9135?\nAnswer: 53805150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 48*n**3 + 102*n**3 - 3*n**2 + 9 - 53*n**3. Let p be w(3). Is p >= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 56230?\nAnswer: -56232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i - 4. Let m be c(4). Let y = 206 - 590. Let v be (-3)\/(9\/y) + 0. Calculate the highest common factor of m and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4733624 and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30547 and 2027210?\nAnswer: 22299310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 414.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 811 + 164. Let c = o - 816. What is the remainder when c is divided by 60?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -0.15 (c) -5 (d) 17.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 531994225*f**2\/4 - 599690*f + 676.\nAnswer: (23065*f - 52)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144941 - -144941.062233. Let k = x + -0.0618. What is k rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/474 and 101\/10.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/16 - (-1)\/(-4). Let r(b) be the third derivative of -b**4\/24 + b**3\/2 + 2*b**2. Is r(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 315 + 166 + t**3 + t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 v when four letters picked without replacement from iivvgivigvivg?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18191669*s**2 + 13118515 with respect to s.\nAnswer: 36383338*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 329112352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -371372 and -1\/111 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -573 - -542.7. Let f = 34.3 + y. Put -8, 1.2, f in descending order.\nAnswer: f, 1.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4990 and 127\/302394?\nAnswer: 1511970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 4 + 0 + 86*d**4 - 88*d**4 + d + 6*d**2 as t + l*d**3 + q*d**4 + v*d**2 + j*d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3471562 is divided by 78?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttk when four letters picked without replacement from {t: 5, p: 2, k: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5*q - 6 - 15 = 0, -5*j + 5*q - 30 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -7. Suppose -518 + 104 = -18*c. Let j = c - z. Calculate the smallest common multiple of 30 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3005 rounded to two decimal places?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184010759*w**3 + 34104195?\nAnswer: -552032277*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1621*z - 431*z = -3888 + 3888 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -j + 5*n + 132, 3*j - 258 = -5*n. Solve 151 = -13*v + j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 5 + 2)*(-3 + 3 - x**2) + 7 + 14*x**2 - 7)*(-2*x**2 + 0 + 0).\nAnswer: -26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 417831 = 19*m. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 18*c - 5. Let z be m(-9). Let d = -16 + 17. What is the closest to d in z, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*y - 693 = -304*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*t**4)*((2*t + 3 - 3)*(1 + 4 - 4)*(-10 + 5 + 21) - 21*t - 1 - 8 + 10).\nAnswer: -22*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11545, -22180, -32745, -43240, -53665, -64020?\n\"Answer: 35*p**2 - 10740*p - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f**3*o - f**3 - 1077*f**2*o + 75*f**2 - 341*f*o - 135*f - 18 wrt f?\nAnswer: 36*f*o - 6*f - 2154*o + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -12, -921*k + 922*k - 4*d = 47 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/7 + -2 + 3. Let w = 3.94 + -2.94. What is the fourth biggest value in b, w, -2, -3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 - 70774*l**2 - 141554*l - 70778 = 0. Calculate l.\nAnswer: -1, 35389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**3 + 1602*r**2 - 92664*r = 0.\nAnswer: 0, 66, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 = 4*z, 66*j - 61*j = -3*z - 3. Which is the closest to j? (a) -0.1 (b) -108 (c) -2 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from dooooddooyyooddoood.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17593*(-127)\/64897 - 28\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5611 or -57?\nAnswer: 5611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/25)*o**(1\/7)*o**(-7)\/o*o\/(o*o**(-17)))**(4\/17) assuming o is positive.\nAnswer: o**(7156\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27734682491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*i + 3*i + y, 0 = -2*i + 5*y - 12. Let u be 2\/i - (-86)\/4. Let d = u - 16. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + -233?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1795\/22 + -749\/11. Let w be (266\/4)\/7 + 1. Determine d, given that w*d**2 - m*d + 3 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -7.130586.\nAnswer: 64.175274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 36*f**2 - 1. Give m(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 165*u + 324*u - 159*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2606 - 13010. What is the tens digit of (-164)\/(-369) - d\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -47*j + 150. Give u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0187 - 202.0187. Which is the second smallest value? (a) s (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 0, 2, 7, 9.72, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 10 = -5*x. Let l = 7 - x. Let g = l + 6. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130243 (base 6) to base 11\nAnswer: -8924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 o when three letters picked without replacement from mmmo.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.9 - -24.9. Let v = -276 + 1933\/7. Sort v, -92\/3, p in descending order.\nAnswer: v, p, -92\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1256 - -2496. What is the tens digit of (3\/(-2))\/((-20)\/w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 70. Suppose 4*z - 196 = -180. Let d be 496\/o + 2\/z. Solve 5*s - 9 = d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 5, 31, 91, 197, 361?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6448 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:10 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 + -2.8. Let q = o - -0.2. Let l(k) = -k**2 - 34*k - 262. Let p be l(-22). Which is the second smallest value? (a) q (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 12 = 5*p. Let k = p + 7. Suppose z - 3*x = -k*z + 71, 3*z - 4*x = 203. 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 151675860 to the power of 1\/2, to the nearest integer?\nAnswer: 12316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 2*w**2 - 4*w - 4. Let k be t(5). Let l = 67 + k. Is -32 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one halves of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 309\/1030 - (9\/2 + -4). Which is greater: q or -453\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -681036038, -1362072076, -2043108114, -2724144152?\nAnswer: -3405180190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - 11. List the prime factors of 0 + (0 - m) - 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i**2 - 3*i + 3. Let m(k) = k**2 - 3*k + 2. Let c be m(0). What is a(c)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 0 - 4\/3*a**2 + 0*a**4 + 1\/6*a**5 - 1\/2*a.\nAnswer: a*(a - 3)*(a + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 5. What is m(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -18*t + 16*t. Suppose t*x - 21 = -3*s, -5*x - 3*s + 23 = s. Suppose 2\/3 - 5\/3*q - 1\/3*q**x + 4\/3*q**2 = 0. Calculate q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a. Let m(l) be the second derivative of l**6\/80 + l**4\/4 - l**3\/2 - 55*l. Let d(j) be the third derivative of m(j). Calculate d(w(c)).\nAnswer: 99*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2 (c) 0.03 (d) -110 (e) -7 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 times 5960632\nAnswer: -1847795.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/476 - 148987\/11900. Let y = l + 11534\/175. Is 53 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1103161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6497 and -0.2.\nAnswer: 0.12994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*a**2)))\/a*a\/a**4*a)\/((a*a*a**(-8)*a*a)\/a**(1\/12)))**14 assuming a is positive.\nAnswer: a**(343\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b**4 - 6*b**3 - 9*b**2\/2 + 6*b - 3\/2 = 0 for b.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 701\/570 - 6\/95. Is r smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.715 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -16*p - 3. Let n(l) = 17*l + 4. What is 3*n(a) + 4*v(a)?\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3.7, 12, -3\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 7:20 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-15)*a**(2\/5) assuming a is positive.\nAnswer: a**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.9401+1.315622\nAnswer: 2.255722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 28 = -7. Let j = 27 - a. Suppose 0 = x - 19 + j. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 110682.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**5\/60 + 19*r**3\/3 - 9*r**2 - 4*r - 17. Let z(k) = 6*k. Determine z(b(y)).\nAnswer: 6*y**2 + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -49181 divided by 11?\nAnswer: -4471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/3 (b) 2 (c) 18 (d) -170428.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 76. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9*h = 5*h - 58, 0 = 4*i - 5*h - 50. What is the lowest common multiple of i and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 815 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8679, -9220, -9761, -10302?\nAnswer: -10843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341\/234, 2\/5, -0.4 in decreasing order.\nAnswer: 2\/5, -0.4, -341\/234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -93560*i - 459. Is q(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -x - 2, -5*g + 2*g + 6 = x. Let n(q) = 6*q - 4*q - g - 1 + 4. Determine n(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, -93, -126, -161, -198?\n\"Answer: -k**2 - 28*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-414)\/51 + (-52)\/(-442)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 - 57 = -3*t. Let z be -2*(t\/4)\/5. Suppose c - 10 = -4*d, -d = -2*d - 1. Solve 0*k - c = 4*b + 2*k, -z*b = -3*k - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -45, -70?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 8*i**2 + 4. Let s be d(-8). Let k = -5 + s. What is the units digit of (0 + k*2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5448, 5405, 5362, 5319, 5276, 5233?\nAnswer: 5190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 509097\/21 - (-4)\/14. What is l rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 - 2*l - l**3 - 10*l**4 + 41 + l + 2*l - 40 to m*l + u*l**2 + h + x*l**4 + s*l**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.239 and -3.\nAnswer: 0.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*r, 5*p - 60*r = -57*r + 88. Calculate the greatest common divisor of p and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjsc. What is prob of picking 2 g and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-45))\/((-2)\/(0 + -222)). Which is smaller: h or 26?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0 + 2. Let t be (0 - n)\/(4\/20). Let u be (-1000)\/1*-5*t. What is u rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 642054132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13109*f + 183539. Give l(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 8*r**2 + 15*r + 6. Give c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (581 + 133 - 74)*(-3*m + 3*m + m) in the form y*m + x and give y.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -195\/4. Suppose 2*x - 8 - 6 = 3*l, -x = -4*l - 17. Which is the closest to h? (a) -2\/9 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-48)\/(-1110)*-20*12\/48)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**7\/14 - 7*w**6\/10 - 27*w**5\/10 - 5*w**4 - 4*w**3 - 21*w. Factor l(s).\nAnswer: -3*s*(s + 1)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-7\/5)\/i))\/i)\/i)\/(i\/(i\/i**(-4\/9)))*(i\/((i*i**0)\/i))\/(i\/i**5) assuming i is positive.\nAnswer: i**(308\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.246 + -0.746. Put 4, b, -0.4 in decreasing order.\nAnswer: 4, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2543 divide 247881468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 35 = -13*d - 6, -g + 13 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 345812 + -219812. Suppose 0 = 6*z - 8*z - l. What is z rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*r**2 - 118*r**2 - 98*r**2 + r**2.\nAnswer: -290*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756792 is divided by 189123.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b - 27*b + 1110 = 18*b - 9*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -40*y + 1085. What is l(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3538740591 and -4?\nAnswer: 3538740587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*g - 5*c - 297, 0 = -c - 3. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*c - 73, -18*c = 4*a - 19*c - 85. What is the remainder when 39 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 90 = -5*o - 0*o, 4*w - 100 = -4*o. Suppose -19*r = -o*r + 3. Which is the closest to -3? (a) -3 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 11.81465, -5 in decreasing order.\nAnswer: 11.81465, 4, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2929 + 2?\nAnswer: 292b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 11*k + 10. Suppose a = 1, 11*t - 13*t = -4*a - 20. Give d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*j + 17 = 0, -2*m + m = -4*j + 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = z - 8, -4*z - 3 = -3*x - 0. Put -7, -2, 1, x in decreasing order.\nAnswer: x, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 0\/(-1 + 5). Suppose -4*r + 52 = 3*j, r + 13 = d*r + 5*j. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by 26?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(2)*-2)*-2.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a factor of 2043583175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 13 = 2*k. Is 3\/((-3)\/(-1))*k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6920 and 7156145?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4 + 1244*l**3 - 19560*l**2 = 0. Calculate l.\nAnswer: -326, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = f - 0*f. Let a = f + -4. Let o(q) = 0 - 2 - 2*q + a + 4*q. Give o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/13 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:56 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 + 5*z**2 - 11*z + 5. Let j(y) = -10*y**3 + 14*y**2 - 32*y + 14. Let l(n) = 5*j(n) - 14*o(n). Find the second derivative of l(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335637?\nAnswer: 3, 31, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s + 40. Is n(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 988.929936891 + -988.93. What is m rounded to 6 decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h + 741074 = 0. Let k = 24463 - h. Round k to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -450905, -451080, -451261, -451448, -451641, -451840?\n\"Answer: -3*c**2 - 166*c - 450736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -348*l. Let z(w) = 4*w. Determine z(t(a)).\nAnswer: -1392*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.82777607 take away -0.014654?\nAnswer: -3.81312207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 + 4*c + 3. Let m(t) = -t**3 - 10*t**2 + 32*t + 319. Let p be m(-10). Determine k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/338 and 93\/130?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 33 + 3 - 13*1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154200 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**4 + 11 - 11)*(8 + 34 - 15) to l + h*w + x*w**4 + n*w**3 + s*w**2 and give x.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -299 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 12*a + 13. Let j be d(-13). Let v be j\/1 - -3*1. Differentiate 4*c**3 + c**v - 1 + 0*c**3 + 5 with respect to c.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3 - 7*n - 3*n - 4*n + 12*n. Let f(j) = 1. Determine 4*f(q) + m(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = w - 0, -3*k + 3*w = 9. Determine c so that -4\/3*c**2 + 0*c + k - 10\/3*c**3 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/10 and 7\/(-21) + 301\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -92, 388, -2 in descending order.\nAnswer: 388, 2, -2, -7, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*s = 6, 1793*a + 3*s + 225 - 10995 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245923287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a hour in seconds?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**3\/6 - h**2\/2 + 3*h. Suppose -b = b + 2. Let k be f(b). What is k rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 91. Put q, -2, 2, 0 in decreasing order.\nAnswer: 2, 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6600*g**5\/7 + 49515*g**4\/7 - 189636*g**3\/7 - 255585*g**2\/7 - 77946*g\/7 - 6960\/7 = 0.\nAnswer: -10, -8\/11, -1\/5, 29\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 736 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 8. Let v(d) = 4*d. Calculate w(v(f)).\nAnswer: -12*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 9\/((-9)\/136). Let q = 201 - v. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:42 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -591*k + 608. Determine a(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/3 (b) 11 (c) 4 (d) -0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 194\/364199?\nAnswer: 194\/364199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n**2 + 42*n**2 - 2*n**2 + n**2)*(3*n**2 - 4*n**2 + 0*n**2)*(n + 3 - 3) + 5*n**5 + n**5 + 0*n**5.\nAnswer: -54*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344*0.04.\nAnswer: 13.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4238584 is divided by 34742.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stsstsssstt. Give prob of sequence sst.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.87 - -0.047.\nAnswer: 9.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439808, -439978, -440446, -441362, -442876, -445138, -448298, -452506?\nAnswer: -457912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 12*g**2 - 12*g + 10. Let l be x(13). Is 23 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 9:56 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1073*z**2 + 15024*z - 19. Determine r(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1431080.\nAnswer: -3\/1431080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-10) + 99\/330. Factor 2*f**4 + 1\/2*f**5 + 0 + 3\/2*f**d - 2*f**2 - 2*f.\nAnswer: f*(f - 1)*(f + 1)*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(143)*1 - sqrt(143) - sqrt(143))\/((-1*sqrt(55))\/sqrt(5)))**2 + (sqrt(143) - 1*sqrt(143)*-6)\/(-2*sqrt(33)\/sqrt(3)) + -3.\nAnswer: -7*sqrt(13)\/2 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11)\/(22\/6))\/((-6)\/4). List the prime factors of (-1)\/g*(-62 - -16).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1893650319 - 0.4\nAnswer: 1893650318.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = x - 4*x. What is the remainder when 14 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 180*r*s**2 - 74435*r + 1276*s**2 - 3*s + 17 wrt s?\nAnswer: 360*r*s + 2552*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**3\/3 + 2*k + 2. Let h be l(2). Suppose -h - 29 = -5*p. Solve -4*q - 1 = p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 1 j when three letters picked without replacement from {c: 6, j: 1, f: 2, r: 5, p: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 631*m - 647*m - 80 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -115412 (base 6) to base 4\nAnswer: -2201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3457 = 171*y - 305 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57761 and 8010.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/4)*q*q*q)**36*(q\/(q*q**(-6)*q*q*q))\/q**(2\/15)*(q*q**(2\/3))**36*(q\/q**(2\/7))**(1\/28) assuming q is positive.\nAnswer: q**(740563\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 + 1\/18*r**4 - 3\/10*r**5 + 2\/9*r**3 - 5\/63*r**7 - 13\/45*r**6 + 0*r**2 - 3*r. Factor z(o).\nAnswer: -2*o*(o + 1)**3*(5*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678 = -80*z + 6198 for z.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-5))\/(-1) - (-1)\/14.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 0*y**4 - 84 + 2*y - 8*y**5 + 5\/3*y**3 + 0*y**2. What is the third derivative of j(d) wrt d?\nAnswer: -960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220*(-22)\/(-440) + 2*1\/(-2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.39 and -4723.\nAnswer: -4722.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(140) - sqrt(140))\/(sqrt(28)*5) + 1)**2 + -2.\nAnswer: -6*sqrt(5)\/5 + 4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**3*(y*y\/(y*y**(-1\/8)*y))\/y*y*((((y**(-3\/11)*y)\/y)\/y)\/y)\/y*y*y**(-1\/6) assuming y is positive.\nAnswer: y**(-1139\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/1214041?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 32 = 128. Let v = z + -6. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262 - -261.814. Round v to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -5. Suppose 35 = -3*h + 41. Put h, 3\/2, t in decreasing order.\nAnswer: h, 3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:32 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41935.3 rounded to the nearest one hundred?\nAnswer: -41900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 23\/715, -3\/2, 160 in increasing order.\nAnswer: -3\/2, 23\/715, 4, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -39. Let c(f) = 3*f - 2. Let t be c(3). Let a = z + t. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04308766524 rounded to 6 dps?\nAnswer: 0.043088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034658 a multiple of 1223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/15, 0, 2\/213, -5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 22, 399, 61 in descending order.\nAnswer: 399, 61, 22, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = -15*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 25*s**4 - 9*s**3 - 25*s**2 + 9*s. Let p(f) = -24*f**2 + 27*f**2 + f**3 - f - 4*f**4 + 0*f + f**4. Let h(g) = -51*p(g) - 6*x(g). Factor h(j).\nAnswer: 3*j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*b + 33 - 33 + (2*b + 1 - 1)*(-2 + 1 - 3))*(0 - 3 + 5) in the form g*b + u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-76)\/2)\/(4\/(-2)). Let u(l) = l**3 + 7*l**2 + 2*l + 14. Let d be u(-6). Calculate the highest common divisor of m and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2 + 222*d + 2160 = 0.\nAnswer: -9, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045 * 770.\nAnswer: 34.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 + 2*l**5 - 4*l**5 + (-2*l**2 - l**2 + l**2)*(3*l**3 + 0*l**3 - 5*l**3) + 1 - l**5 - 1 + (-6 + 6 + 4*l**2)*(6*l**3 + 2*l**3 - 5*l**3).\nAnswer: 17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (8 + 13) - -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15d - a?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 68\/16 + (-3)\/12. Solve 21 = -5*x + i, i - w = -3*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153\/20 + 42\/5. Which is the second smallest value? (a) z (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -6336?\nAnswer: -6335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/1089)\/((-536)\/201)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 15147.\nAnswer: 30294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 34*a**2 + 102*a - 1224. Let p be o(32). What is the nearest to 0.1 in 7, -2\/17, p?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 377 = 4*w + 359, 5*w + 35 = 0. Sort -5, 12, 4, -1, n.\nAnswer: -5, -1, 4, 12, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/35 in 17, 4, -0.3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -40. Suppose k + 7 = 5*d. Solve 0 = -5*y - 4*r + 7, 0 = y - 2*y - r + d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*56186\nAnswer: 393302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 161\/5 (b) -2 (c) -5 (d) 44469\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from worojoohjpphohwprjw. Give prob of sequence roo.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.227 - 0.027. Let t = 11 + -16. Sort a, 2\/7, t in descending order.\nAnswer: 2\/7, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 42*v. Let q(o) = -5*o**2 + 4*o + 1309. Determine q(u(b)).\nAnswer: -8820*b**2 + 168*b + 1309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1367*x = -1372*x - 325. List the prime factors of (1599\/x)\/((-9)\/(-30)*-1).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 165 = -171, 5*t - 5 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.8 + -0.2. Let f = 9 + h. Suppose 2 - 4 = -2*n. Which is the nearest to -1\/2? (a) n (b) f (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.4000024 - 3.4. Round d to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1315 = 5*y + 3*x, -2*x - 68 = y - 338. Suppose 4*l + 296 = 2*b, -3*l + y = 2*b + 2*l. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*f**5\/4 + 10*f**4 - 145*f**3\/4 - 100*f**2 - 65*f - 12 = 0. What is f?\nAnswer: -2, -4\/7, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25865 + -77597\/3. Which is the closest to -0.2? (a) -18 (b) l (c) -2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.8439ug in tonnes?\nAnswer: 0.0000000002478439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3560131 by -3.\nAnswer: 3560131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/10 + 2)\/((-44)\/264)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2 - 8. Suppose 2*t - 4 = -a*t. Let l be (t - (-21)\/3)\/2. Solve l*b = -j + 16, -2*b + 2*j = -2 + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2 - 15) + (17 - -6 - 19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -i. Suppose -5*q + 85 = i*f + f, 0 = 2*q + 5*f - 53. Let t(m) = m + 10. Let o be t(5). Solve 2*d - 2*k - q + 4 = 0, -5*k = o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10320101 (base 4) to base 12.\nAnswer: b695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b + 3. Let v(h) = h. Let c(q) = a(q) - 6*v(q). Differentiate c(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**3 - 28*l**2 + 6*l**3 - 30*l**2 - 23*l**2 - 32*l**3 + 88*l**2.\nAnswer: -45*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 1, -84, 0.4, -0.5, 11093?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/21 - 362*r**4\/7 - 53678*r**3\/21 + 362*r**2\/7 + 53680*r\/21 = 0?\nAnswer: -488, -55, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4455156 or -1?\nAnswer: -1\/4455156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = -5*p + 4*j - 43, -3*p + j = -145. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5285*w**2 - 1 + 11 + 5279*w**2.\nAnswer: -6*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1200930873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (320\/8)\/8 - (1 + 7). What is the common denominator of (49 - (9 + i))\/(-29 - 1) and -52\/93?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqqd. What is prob of sequence qq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*s - s = 1630, -4*f + 2172 = 3*s. What are the prime factors of f?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*h**3 + 59*h - 369*h**3 - 59*h.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 45, 34, 19, 0, -23?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/16685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 60. Suppose -24*k + 15 = -27*k. Let o(f) = f - 6. Let y be o(k). Let g be v(y). Solve -6 = -2*d - g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1284570 and 1575?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -d37 (base 15) to base 10\nAnswer: -2977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -3251967?\nAnswer: 16259835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5332b (base 13) to base 2.\nAnswer: 100100100110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 + -4)*(-2)\/(-3). Calculate the highest common factor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*r - 721*r - 326*r.\nAnswer: -1534*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**4 + 0 - 2 + 0*t**3 + 3*t - t**3 to u*t + z*t**4 + v + n*t**2 + h*t**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 24 = 5*k - 3*u, u + 6 = 3*k. Suppose t + 2*f = -4 + 8, k*t = -f + 27. What is the lowest common multiple of 18 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-765*b - 744*b + 925*b)*(-2 + 5 - 5).\nAnswer: 1168*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 2 + -3 + -3. Let d = 55 + -51. Let s(r) = d*r**2 - 12*r**l + 3*r**2. Let y(a) = -2*a**2. Calculate y(s(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 3*n. Let k be i(2). Suppose -u = -7 + 6. Is 5*(u + k)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:57 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -113578106*t**2 - 90054*t. Let m(c) = 5045*c**2 + 4*c. Let z(h) = -45027*m(h) - 2*w(h). Let y(d) = -d**2. Determine z(y(s)).\nAnswer: -5003*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 19*y + 78. Let g be d(-12). Suppose -141*z - 15 = -g*z. Let v(k) = k**3 + 5*k**2 - 6*k. Let x be v(-6). Sort z, x, -2 in decreasing order.\nAnswer: x, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 - (-1 + 0 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -470 divided by -30696\nAnswer: 235\/15348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/((((k\/k**(-5))\/k*k)\/k*k)\/k)*(k\/k**(-1\/2))**18 assuming k is positive.\nAnswer: k**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**8\/((k*k**(-1\/4))\/k)*(k*k*k*k*k**3*k*k*k)\/k*k**4*((k*k\/k**(2\/9))**(6\/11))**31 assuming k is positive.\nAnswer: k**(6773\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**2 + 4285070*z - 12855165 = 0.\nAnswer: 3, 857011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-13) + 446 + -432 - (-63)\/(-156).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.00000002 + 21. Round p to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 223020686 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (-188)\/(-12))*207\/(-138).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5464702?\nAnswer: 2, 29, 94219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 15*q + 38. Suppose z = 0, 3*p + z + 6 = 4*p. Let a be s(p). Let l = 282\/5 - a. Are -1 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 17*g**2 + 34*g + 64. Let p be j(-15). Let z(r) = p*r - 4*r + 2*r + 3 + 0*r - 2. Let d(b) = b**2. Give z(d(c)).\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**7\/840 + x**6\/45 - 5*x**4\/24 + 13*x**3\/6 + 46*x**2. Let s(f) be the first derivative of t(f). Calculate s(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2768\/(-1730))\/(10\/75*57)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**3 - 4*r + 1. Suppose 0*k - 6 = -2*k. Let y be o(k). Calculate the common denominator of 4\/(-12) - y\/(-12) and -25\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138413.855 rounded to the nearest ten?\nAnswer: 138410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009270 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 10*j + 2. Find the second derivative of 2*f**j + 1230 + 10*f**3 - 1201 - 2*f + 0*f wrt f.\nAnswer: 60*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27067 is divided by 59.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -34*g**3 + 22*g + 6. Does 27 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8 + (-4*(-5)\/(-4) - -3253)?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -10274\nAnswer: -5137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1694\/25 - 9304\/225. Let h = 109 + x. What is the fourth biggest value in 9, -5, h, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h + 1. Let r(p) be the second derivative of -p**4\/2 - 7*p**3\/6 - 7*p**2\/2 + 40*p. Let k = -7 - -6. Determine k*r(d) - 5*f(d).\nAnswer: d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/2 + 11*m**2 + 570*m - 1. Give y(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*s**3 - 153*p**3*s**2 + 3676*s**5 + 2*s**2 + 26*s wrt s?\nAnswer: -12*p**3 + 220560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 116560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18698 divided by -2\nAnswer: -9349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d**2. Let n be x(-1). Suppose -n*j + 10 = -8. Is j < 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**3 - 4097*v**2 + 9193*v + 5110. Give x(1022).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 11:18 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*m - 5*m + 2*t, 0 = -2*m + 3*t + 7. Let b be (0 - m)\/2 + 16. Solve -2*y - 3*y + b = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - 233?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:56 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) + -1) + -1 + 2)**2 + -4.\nAnswer: -4*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 - 4 = 0. Let r be 2 + (d - -1) + 5. Which is the third smallest value? (a) -4\/5 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnb. Give prob of picking 2 n and 1 b.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -2, -4659, -11 in decreasing order.\nAnswer: 9, 3, -2, -11, -4659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - -0.6. Let q = 3\/164 - 173\/492. Sort q, -0.06, 3, v in ascending order.\nAnswer: q, -0.06, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/61 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124445 (base 6) to base 3.\nAnswer: -120122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 9914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68781.4 millilitres?\nAnswer: 68.7814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-530)\/25)\/((-1)\/45). Suppose 0 = 4*m - 5*g + h, m = -2*m + g - 710. Let i = -123 - m. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 7. Suppose 5*w - 3235 = -z*s + 4*s, -5*s = 3*w - 1943. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42a96 + -12?\nAnswer: -42aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.2 + 0.12?\nAnswer: -48.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -6 - (-10 + (16 - 11))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/16 and -5\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4497791 is divided by 544.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjj when three letters picked without replacement from {g: 9, j: 10}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 308, 386, 462, 536, 608?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2. What is the derivative of -15*h**d + 0*h**4 - 22*h**4 + 3 wrt h?\nAnswer: -148*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 3*z - 5*z - 6. Let g be 38\/8 + 3\/12. Let w be h(g). Is 2\/7 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2821366.8 minutes in weeks?\nAnswer: 279.8975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159174*x**3 + 99933*x**2 wrt x?\nAnswer: -955044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 16. Calculate the lowest common multiple of j and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -47, 86, -463 in descending order.\nAnswer: 86, 4, -47, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 - 49*a - 16. Calculate y(10).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 - b**2 + 5*b**3 - 4*b**3 + 2*b**3 in the form t*b**2 + q*b**4 + o*b + n + x*b**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/17)*v**(4\/7))\/((v*v\/v**(-2\/3)*v)\/(v**(-3)*v)))\/((v**1\/v)**(2\/11)*(v\/v**(2\/3))**16) assuming v is positive.\nAnswer: v**(-1227\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-3*o**2 + o**2 + 3*o**2) + 2*o**2 + 4 - 4 + (-o + 2*o - 2*o)*(-2*o + 0*o + 3*o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-18))\/(1625\/10500)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -33.345. Let k = p - -0.055. What is the third biggest value in k, -2, 0.3, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651659357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -198*h - 69. Let o be k(-3). What is the highest common divisor of o and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**4\/24 - u**2 + 8*u. Let a(k) = 12*k**2. Give h(a(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -134\/13937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27922, 55843, 83764, 111685?\n\"Answer: 27921*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137884751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1320125 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29279.72 rounded to the nearest 10?\nAnswer: 29280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 61307 = -61373 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**5\/20 - 7*b**4\/12 - 9*b**2\/2 + 2*b + 9. Let p be v(7). Suppose 0 = o, 4*o - 9 = 4*a - 3*a. Is p at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lffu when four letters picked without replacement from {u: 5, r: 9, l: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 19*j**2 - 465*j**2 - 484*j**2 - 830*j**2 + 162*j**2. Let x(q) = q**2. Calculate x(y(r)).\nAnswer: 2553604*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 6*o - 14. Let f be v(8). Let t(p) = p + 9 - 3*p**2 - 4 + 2*p**f. Let w(y) = y**2 - 2*y - 9. What is -5*t(l) - 3*w(l)?\nAnswer: 2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466950?\nAnswer: 2, 3, 5, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y**3 - 181*y**2 - 3*y + 511. Let h(w) = 37*w**3 + 538*w**2 + 9*w - 1533. Let u(f) = -6*h(f) - 17*i(f). Find the second derivative of u(j) wrt j.\nAnswer: -6*j - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1153*s - 6912. Let c be p(-6). Put c, 2, -12, -2 in decreasing order.\nAnswer: c, 2, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 + 0 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -249*g**3 + 238622*g**2 - 3657*g + 25535 wrt g.\nAnswer: -1494*g + 477244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - c = 23, -17 = -4*s + 886*c - 887*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:38 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100778.\nAnswer: 2, 41, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 152 = 3*x, 9*x + 92 = -4*s + 4*x. Let q(y) = -15*y - 3. Let z be q(-5). Let u = z + s. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58200 and 4947?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2) + 1409\/10. Let k be -4*((-987)\/(-4))\/7. Let x = k + t. What is the biggest value in -0.3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -74 + 20 + o**3 - 1 + (2 + 0 - 4 + (-3 + 3 + 2)*(3 - 3 - 2))*(5*o - 5*o - 2*o**2)*(5*o - o - 3*o) in the form l + f*o**2 + k*o + c*o**3 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (73 - 65*l**2 - 73)*(-10*l + l**2 + 10*l) as d*l**3 + b + m*l**4 + s*l**2 + o*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 3*q**2 + 3*q**2)*(-5 + 1 + 5)*((-3 + 2*q**2 + 3)*(0*q + q - 3*q) - 4*q + 4*q + q**3).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3478.7 (b) 0.4 (c) -0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:13 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 5*n + 11, -513 = -227*d + 224*d + 126*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o**2 - 10*o**3 + 49*o**2 - 7*o**3 - 3*o**4 - 2*o**4 - o + 18*o**3 to g*o**3 + n*o + u*o**4 + x + a*o**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:19 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - sqrt(700)*-2))**2 + sqrt(28)\/sqrt(4)*1.\nAnswer: sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 69\/63)\/(2*(-62)\/4092)\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b + 13. Let w(p) = p + 1. Let s(f) = 6*f + 6. Let h(u) = -s(u) + 3*w(u). What is -9*h(r) - 2*k(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67818, 67813, 67810, 67809, 67810, 67813, 67818?\nAnswer: 67825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24815 (base 10) to base 15\nAnswer: 7545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 4*z + 2. Suppose 0 = -u - 4*u - 25, 4*u = 3*t - 41. Let o be f(t). Suppose -17 = -g + 4*l, o + 7 = 2*g - 4*l. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125581 is divided by 25113.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -143324, -286650, -429976, -573302, -716628?\n\"Answer: -143326*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*f - 832 + 3807 - 1715 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208 + 212.45. Let p = -1.45 + v. Let u = 0.6 - 1.1. Which is the nearest to -0.1? (a) p (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19650*l**6 - l**5 + 66647*l**2?\nAnswer: 2358000*l**3 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 612.6?\nAnswer: -7351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9630, -19271, -28916, -38565, -48218, -57875?\nAnswer: -67536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/21)\/(35*(-2)\/(-490)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and -115\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whw. Give prob of sequence wh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 + 545*j**4 + 9900*j**3 - 290480*j**2 - 39680*j + 1153200 = 0 for j.\nAnswer: -62, -2, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7537 times 643.2?\nAnswer: -4847798.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 6*b**2 + 6*b - 3. Let c be (1 - -4) + 0\/(-3). Let u be v(c). Suppose 3*f + u*p - 12 = -p, 4*f - 2*p - 22 = 0. Solve w + f = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u = -87*u + 23950 + 16734. Which is bigger: 1451 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.9 (c) 2 (d) -1 (e) -66\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 17*l + 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-249)\/(-777) + (-9)\/21. Is f less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*6*(-65)\/(-117)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30272 divided by 88.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 268\/3*(12 - 30\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + 2*o**2 - 5*o + 7. Let u(f) = -f**3 + f**2 - 3*f + 4. Determine -3*r(t) + 5*u(t).\nAnswer: t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**3 + 2*p**2 - 2*p**2 + 8*p**3.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 4*i**4\/3 - 3*i. Let o(c) = 2*c + 6. Let f(u) = -3*u - 8. Let g(x) = 3*f(x) + 4*o(x). Determine g(y(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 422062706 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -689, -1254, -1775, -2252, -2685, -3074?\nAnswer: -3419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjj when three letters picked without replacement from {v: 5, o: 1, d: 2, j: 2, w: 1, c: 5}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -246\/5, -8, 9, 2, 4, 19\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 - 31*g**3 + 11*g**3 + 3*g**2)*(20*g + 0*g - 8*g) to the form q*g + n*g**2 + r + k*g**4 + f*g**3 and give k.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534999 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 982 divide 806222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254311726, -508623449, -762935170, -1017246889, -1271558606, -1525870321?\nAnswer: -1780182034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11402434 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 125\/45 + (-12)\/(-54). Solve q - 16 = -i*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22821619.3 and 0.4.\nAnswer: 9128647.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314 (base 5) in base 2?\nAnswer: -11010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**49*(b**0\/b)**(-3\/5) assuming b is positive.\nAnswer: b**(248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**3 + 50*z**2 + 3860*z + 7480 = 0. What is z?\nAnswer: -22, -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let o = 17035 + -238597\/14. Suppose 2*c = -v + 106, -57 = -c - 3*v - 14. What is the common denominator of (c\/9)\/((-8)\/6) and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 1 g when three letters picked without replacement from {d: 3, g: 2, c: 4, l: 1, v: 2, t: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3.1, 1\/2, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55683 and 6102.\nAnswer: 37753074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.7 - 4. Let c = 3838 + -3838.7. What is the nearest to 2 in c, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 30 = -4*t. Suppose 5*m - 939 = -2*r, -2*r + 201 = m - 6*r. Let b be 2\/(-10) + m\/45. Put t, b, -1 in increasing order.\nAnswer: t, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-500)\/700*2\/(-15)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*b*g**3 - 3*b*g**2 + b*g + 27*g**3 + 28*g**2 wrt g.\nAnswer: -348*b + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3 - 54794*v**2 + 13903344*v - 877911048 = 0.\nAnswer: -27649, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 79 = -75. Calculate the remainder when 419 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(9\/(-24) - 126\/(-16)). Solve 17*u - i*u = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215338055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2753302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 564859, 1129724, 1694597, 2259478, 2824367?\n\"Answer: 4*n**2 + 564853*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 6:34 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 85*t + 751. Let p be o(30). Let c(y) = 113*y**2 + 3*y - 2. Give c(p).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*b - 4150 = -338*b + 2606 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -14?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 65*d**2 + 3. Let a(c) = -18330*c**2 - 845. Let k(v) = 6*a(v) + 1690*i(v). Let f(j) = -3*j**2. Calculate f(k(t)).\nAnswer: -50700*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00806 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 6:27 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 24*i - 12. Let q be d(5). What is the highest common divisor of q and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**8\/84 - g**7\/30 - 3*g**6\/40 + 29*g**5\/60 - 23*g**4\/24 + g**3 + 282*g**2. Determine z, given that s(z) = 0.\nAnswer: -2, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6*l = -84. Suppose 0 = -t - 2*t + 252. Calculate the greatest common divisor of t and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.59 - 0.19. Which is the closest to -1? (a) -1\/3 (b) 43 (c) p (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-9) + (-400)\/6 + 5. Let m = w - -65. Solve 0*x = 4*z + x + m, 4*z - 4*x = 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-3)\/48*-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + l**2 + 5*l + 7. What is the lowest common multiple of 22 and p(-3)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*x + 8*x - 10, 0 = 5*p - x + 16. Let r = -1 - p. Is r\/(-7) - (-489)\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366769 is divided by 61114.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8819*l + 873. What is the tens digit of m(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1693*d**2*r + 2*d**2 - d*r + 118*d + 2*r wrt d?\nAnswer: 3386*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*w**2 - 87*w**2 + 172*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2. Let h(w) = 72*w**2 - 1613. Determine h(l(a)).\nAnswer: 72*a**4 - 1613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17326226, 17326222, 17326218, 17326214, 17326210?\nAnswer: 17326206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001687358663 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 - 209. Solve -2*o + 2 = -4*o + 2*s, -g*s + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 194106 by -283.\nAnswer: -194106\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21896717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/1125 and 8\/45.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.6 less than -0.064?\nAnswer: 48.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1404 and 1514448.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31be (base 15) to base 6.\nAnswer: -120425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287\/36*(760\/247 + -3)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/4 (b) -1\/2 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -29?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 - -2. Let m = 11.2 - 11.098. Let a = 0.098 + m. What is the nearest to j in 1, -0.09, a?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Let y = -31 + 30.9. Let w = -2\/41 - 37\/82. What is the nearest to w in y, 5, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**7\/525 + 6*j**6\/25 + 77*j**5\/30 + 3384*j**2. Factor f(x).\nAnswer: -2*x**2*(x - 77)*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3)**(-22)*(w*w**(-4)*w)\/w*w*(w\/w**6)\/w assuming w is positive.\nAnswer: w**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.9 + 1.9. Let h = -5 + 3. What is the closest to -0.1 in i, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768 = 4063*s - 4071*s. Let n(c) = 2*c**3 + c**2 + 5*c + 3. Let w be n(4). Let k = w + s. What is the remainder when k is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -73771590164659 and -0.01.\nAnswer: -73771590164659.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46789, 46786, 46783, 46780, 46777?\nAnswer: 46774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -12*q + 120. Give l(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14980965?\nAnswer: 3, 5, 29, 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0471 - -13.9529. What is the closest to 1 in 0, n, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 703422 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from kkkkkkkkkkkkkkkkke.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l + 162. Let k be o(-6). Let f(j) = j**3 + 9*j**2 - 4*j - 18. Let b be f(-9). Calculate the greatest common factor of k and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 11 - 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -111763300 to the nearest 100000.\nAnswer: -111800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -231*g - 71. Let s be k(-2). Suppose -22*i - 105 = -s. Solve 0 = 4*h - i + 29 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*l - 23, -5 = -f - 3*l + 2*l. Does 3 divide f\/(-9) + 112\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/19, -5, -6, 2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-4*-5 + sqrt(11) - 2*sqrt(44).\nAnswer: 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + 0.23. Let w = -568 + 566. Put -1\/5, w, 11\/4, c in decreasing order.\nAnswer: 11\/4, c, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1024)*3 - sqrt(1024))*1)\/(sqrt(3200)*3 + sqrt(3200) + sqrt(3200)) + -1).\nAnswer: -6 + 24*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -421 divided by -41.\nAnswer: 421\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 - 2.2952. What is t rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1410*b**6 + 203305*b**4*o**3 - b**2*o**3 - 13*b*o**3 - b - 86227*o wrt b.\nAnswer: -169200*b**3 + 4879320*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -0.28. What is the nearest to 0 in 0.5, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 6. Let v(w) = 3*w - 5. Let c = -1 + -3. Let b(f) = c*i(f) - 5*v(f). Let x(k) = -16*k + 5. Give 22*b(h) - 4*x(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-10 + 5 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204.8 or -0.74?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1130.5 + 1130. What is the second smallest value in 0.1, i, -0.4, -4, 8\/63?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3 + 6*h**2 - 6*h**2 + 2*h**2 + 15*h - 3*h**2. Let n be z(15). Solve 2*i = -n*s + 6 + 9, 2*i = 5*s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 621403?\nAnswer: 5592627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -51, 189, 801, 1947, 3789, 6489, 10209?\nAnswer: 15111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:10 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*((-846)\/18)\/(((-7)\/2)\/(-7)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*g - 4*g. Let x(l) = l**2 - 9*l - 11. Let w be x(11). Suppose b = v - w, 3*v = 2*b - 6*b - 2. Solve -4*p + 12 = -5*u - p, 3*u - 3*p + v = g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 = -3*q + 2608. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 2:57 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -8. Suppose 1 = l*h + y - 9, 3*h - 2*y - 2 = 0. Solve -5*w = -5*k - 10, -5*w + 4*w - h*k = 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5697406951.\nAnswer: 31, 183787321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 59*x - 672 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 - 53*u**2\/5 + 654*u\/5 + 1512\/5.\nAnswer: -(u - 12)*(u + 2)*(u + 63)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/36, -0.5, 4, 3, 0.2?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - u**2 - 2*u + 6. Let r be q(0). Suppose -n = -r*n - 5815000. What is n rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36091572 divided by -15404.\nAnswer: -2343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6*k - 10 = 0. Let x(b) = -b**3 + 11*b**2 - 9*b - 6. Let l be x(k). Solve -8 = -l*w + 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -10)*(-42)\/(-105)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/(-4))\/(-3) + 15. Solve -9*p - a = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14986.4 times -3\nAnswer: -44959.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h = 24*h - 3. Let j be 5\/(h\/2*2). Find the common denominator of 3\/16 and 51\/(-220) - 6*j\/165.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 1. Let j(h) = 8*h**2 + 7. Let d = -288 - -290. Let s be (2\/4 - 1)*2. Let z(a) = d*l(a) + s*j(a). What is the first derivative of z(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Let g = 164 - 129. Solve 3*x + 4*a = 31, 5*a - g = b*x - 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 80 = -3*r, 6*d - 75 = -3*r + 3*d. Solve -2*h + h + 5 = 5*i, -4*h = 3*i - r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016789418124 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - (73 + -57 + 15)) + (-3 - -74).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -219, 8, -5.\nAnswer: -219, -5, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/139 and -79\/9562.\nAnswer: 1329118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255968?\nAnswer: 2, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/12*(1 - -1). Let q(x) = w*x - 5*x + 3*x + 2*x. Give q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430011 (base 7) to base 10.\nAnswer: -74439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171808 divided by -3068.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1535 - 120*i - 1535 + 2*i**2.\nAnswer: 2*i**2 - 120*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j - 46*j + 28*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7 - 6 + 0 + a**2. Let n(r) = -11*r**2 - r - 3. Let y(p) = 3*g(p) + n(p). Give y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 33, -5 in increasing order.\nAnswer: -5, 2, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2851, 4028, 3545, 1408, -2377?\n\"Answer: w**3 - 836*w**2 + 3678*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 19*b + 26 = 0. Let x = b + 42. Find the common denominator of x and 8\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19284*j*u**4 + 137*j*u**2 - j*u - 1538*u**4 + 402*u**2 + 212 wrt u.\nAnswer: 462816*j*u - 36912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45404601 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:58 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5204*m**2 - 7517.\nAnswer: -10408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - 306?\nAnswer: -306.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4437434 is divided by 556?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24\/1721 + -1817\/6884. Which is the second smallest value? (a) 2 (b) 3 (c) 15.8 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2352 divided by -16.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 12, -3 in decreasing order.\nAnswer: 12, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/2 - (-2 + -110) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 11483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 10*m - 12. Let a be d(2). Factor -a*g**3 - 4*g**2 - 2\/5 - 2*g - 2*g**4 - 2\/5*g**5.\nAnswer: -2*(g + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.02, -5, -0.9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 34 = 4*x. Let s(k) be the second derivative of 1\/3*k**3 + 0*k**2 + 0 + x*k. Let f(r) = -3*r**2. Determine f(s(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30504 (base 7) to base 4.\nAnswer: 1310130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 5*k, -239*u = -238*u + 3*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 83.87.\nAnswer: 58.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 431038690 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -6)*(-3687)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b + 122*b - 80*b + 2.\nAnswer: 24*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7103.21623 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*o = 14, 31*o + 18 = 5*s + 33*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17052 + 23140 = 2512*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 11030*v - 11034*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 146 (b) 1\/6 (c) -4 (d) -167 (e) 26\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1052772?\nAnswer: -3158316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 106 = -98. Let w(p) = -18*p + y*p + 4194 - 4194. Let j(g) = 14*g. Give w(j(v)).\nAnswer: -196*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12230159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + s**2 + 3*s - 1. Let y be b(2). Suppose 0 = 4*i + 3*p + y, -4*p - 8 - 6 = -i. Suppose -2*n + 536 = i*n. Is 34 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-3 + 4)\/1. Suppose -4*w + 3*x - q*x + 12 = 0, 2*x = -5*w + 12. Calculate the remainder when -4 - (-6 - (-92)\/(-4)) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -4*m - 32, 0 = -4*j + m - 73 + 92 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.1 + -8.7. Let i = -2\/67 + 71\/134. Which is the smallest value? (a) -4\/3 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/918346 and 1\/22?\nAnswer: 918346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 2*v. Let x(c) = -4*c**2 + 2*c. Let l = -7 - -10. Let u = 1916 + -1914. What is l*j(f) + u*x(f)?\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 2*h**7\/105 - h**6\/40 - 3*h**5\/20 - h**4\/12 - 5*h**2. Find i, given that p(i) = 0.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (0 - 4)) + -3. Find the third derivative of -5*k**4 - 308*k + 27*k**t + 308*k wrt k.\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 + r**4 - r**4)*(-16 - 16*r + 10 + 7) + r**5 - 4*r**5 - 5*r**5.\nAnswer: -24*r**5 + r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3159 and -7\/39.\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -461*o**2. Let f(a) = -6*a + 2*a + 6*a + a - 4*a. Give s(f(z)).\nAnswer: -461*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 20 = -192, -w + 45 = -3*w + 2*y - 51 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 less than -4928732?\nAnswer: -4928777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 34, 2\/9, 14.7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 - -71.63. Let k = n + -0.6. Let p = -0.0299993 + k. What is p rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 216?\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*g - 5*g**2 - 464*g**3 + 240*g**3 + 226*g**3 + 2*g**2 to the form t*g + l*g**3 + f*g**2 + q and give t.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - x - 11 = 0, 0 = -x - x - 10. Let s be 1 + ((6\/3)\/(-2) - o). Suppose -v + 396 = s*v. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 21, 33, 45, 57, 69?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -1 + 8\/7*v - 62\/21*v**3 + 18\/7*v**5 + 4\/7*v**2 - 2\/7*v**4 - 6\/7*v**6. What is t in m(t) = 0?\nAnswer: -2\/3, -1\/3, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -60*k**3 + 3*k**2 - 2*k + 4. Is g(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 68 = 2*h, -5*p + 0*h = 2*h - 292. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 + 46*u - 13. Let l be y(11). Suppose -7*j + 38 = 3*h - l*j, -h = -j - 13. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/3 - (182\/156 + (-93)\/18))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 892503 and 140802?\nAnswer: 55335186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 11654119750 to the nearest one million.\nAnswer: 11654000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p - 4*f = 122, -51*p + 54*p + 54 = -3*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -8. Suppose -j = -5*h, 0 = -3*k + 3*h + 110 - 29. Solve r + 3*r + k = -4*f, -3*f = 2*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1137, 1136, 1143, 1164, 1205, 1272, 1371, 1508?\n\"Answer: f**3 - 2*f**2 - 2*f + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -132*b**6\/5 + 190*b**2 + 34*b. What is the first derivative of n(c) wrt c?\nAnswer: -3168*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/(-24))\/((-1)\/(-4)). Suppose -3 = j - d*y, j + 0*y = 2*y + 3. What is the remainder when 13 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 13*j**2 - 15*j - 8. What is the units digit of p(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1659 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -83. Suppose g + g - v = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 21703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22592\/621280*(-22)\/56.\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -929*o**4 + 336*o - 495*o**4 + 327*o + 2*o**3 - 665*o to a*o**3 + y*o + w + r*o**4 + h*o**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 96 = -2*u - 4*b, -u - b + 46 = 0. Let n = 39 - u. Is (251\/(-4))\/(n\/20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000114064158 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44274 and 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31 * 5.243\nAnswer: 162.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1155*h**4 + 944*h - 61*h**2 + 63*h**2 - 943*h as p + f*h + m*h**2 + r*h**3 + t*h**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451884.\nAnswer: 2, 3, 37657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1208, -5, -2, -0.06, 0, 4, -0.23?\nAnswer: -1208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/120 + y**5\/15 - y**4\/8 + 13*y**3\/6 + 2*y**2 - 35. Let z be m(4). Is -1\/32 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30067075 rounded to the nearest 100000?\nAnswer: 30100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*v + 30, -4*v - 3927 = -2*k - 3925. Which is the fifth biggest value? (a) -1\/2 (b) 4\/5 (c) k (d) -7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**3 + 8*o**2 - 47*o - 2. Let p(h) = -3*h**3 - 3*h**2 + 21*h + 1. Let s(x) = -9*p(x) - 4*r(x). What is s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88281574 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*t + 1 + 2*t**2 - 2*t + (-3*t - t + 5*t)*(2*t - 2 + 2) - 2*t**2 + 2*t**2 + 2*t**2)*(26*t**2 + 27*t - 27*t).\nAnswer: 156*t**4 + 26*t**3 + 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 2:10 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(104)*1 + sqrt(104)))\/(sqrt(200) + 1*sqrt(200) - sqrt(200)).\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504 by -72.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*w - 15, 2 = 2*q - w + 3*w. What is the smallest common multiple of q*(-1 + (-2 - -2)) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*n**2 - 3 + 4 + 6*n**2 - 3 - 14*n**2 in the form d + u*n + h*n**2 and give h.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/16*4)\/((-3)\/5*68\/3672)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:09 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -462 or -463?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40808803 divided by 7?\nAnswer: 5829829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.167, 2\/3, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8)*39\/(-65))\/(345\/276)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = h + 11, -5*x + 2*x = -5*h - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 4, s: 6, p: 2, g: 1}. Give prob of picking 3 s.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 7 - 7 - -13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -1691, 42\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.49 + -5.2. Let w = x + -0.29. Which is the third smallest value? (a) -2\/3 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288534 = -7468*o + 9999*o for o.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9373 - -9372. Which is the nearest to g? (a) 2 (b) 0.6 (c) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (37 + (-20 - -16) + -9).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90134*j**2 + j**3 + 90009*j**2 - 395*j - 6*j**3 + 525 = 0 for j.\nAnswer: -21, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774056 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*i**3 + 188*i**2 - 188*i**2)*(-4 + 6 + 0)*(30 - 30 - 6*i**2).\nAnswer: -1284*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -2121387\nAnswer: 42427.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1674916.32 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21832 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymyymyyymyy. Give prob of picking 3 y.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzu when three letters picked without replacement from {z: 5, u: 3, n: 1, m: 1, l: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 + 15*r - 9. Let s be q(4). Let i be s\/(-1)*38\/(-114). Put -1, i, -2, -29 in descending order.\nAnswer: i, -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, -4\/9, 1\/7, 0.2 in descending order.\nAnswer: 133, 0.2, 1\/7, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (14 - -2) + (47 + -14 - 4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -2*x. Let y = x + -1. Suppose y*j + 15860921 = 59060921. What is j rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 238 = 29*x. What is the remainder when x is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - z**3 - z**3 + (2*z**3 + 0*z**2 + 0*z**2)*(-4 + 5 - 2) - 13*z**3 + 12*z**3 + 10*z**3 - 112*z**3 + 20*z - 6*z - 2 + 111*z**3.\nAnswer: 5*z**3 + 14*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -193686.276 * 1\nAnswer: -193686.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*p - 8, 5*l - 3*p - 8 = 32. Suppose -l = -v + 4. Calculate the remainder when 26 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-4*k**4 + k**4 + 14*k**4) + 4*k**3 + 5*k**4 - 4*k**3 + (-k**3 + 4*k - 4*k)*(2*k + 5 - 5).\nAnswer: -19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1199958*f - 3 - 1860061*f + 3.\nAnswer: -3060019*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1428)\/(-72) - 5 - 15)\/((-19)\/24)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 + 4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14399 or -1\/5130?\nAnswer: 14399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**3\/2 - 13*m**2\/2 + 6*m. Let y be n(-9). Let h be (-18)\/4 + 20\/y. Let q(z) = z**2 + 7*z + 2. Determine q(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.623 - 0.377. Suppose 2*j + 2 = 10. Which is the nearest to 0.1? (a) j (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*a + 50*a + 156 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13489, 53658, 120583, 214264, 334701?\n\"Answer: 13378*n**2 + 35*n + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1106464, -1106453, -1106446, -1106443, -1106444, -1106449?\nAnswer: -1106458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - (sqrt(91) + sqrt(91)*3)) + sqrt(91))*-1)\/(sqrt(42)\/sqrt(6)*3 + sqrt(7)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2 + (-1326)\/(-52).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(-1\/12))**(-34)*(j*j*j**(1\/3))\/((j*j**(-4)*j*j)\/j*j)*((j*j\/(j*j*j**1*j*j))\/j)**(4\/7) assuming j is positive.\nAnswer: j**(-97\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-5) - (16 + (-5941)\/260).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-2\/23))*m)\/(m**(2\/21)*m) assuming m is positive.\nAnswer: m**(-4\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30356 + -30077. Solve -8*s - z = 23*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86 or 83?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 5*l. Let p = 1 + l. Solve 2*c = 5*j - 3*c + 10, 0 = -p*j - 4*c + 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-7)\/(-210))\/(-7 - (-14848)\/2120) - -6.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -4130\/667?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 2*a - 6 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2516 - -3335. What is the smallest common multiple of z and 4?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 7) to base 15.\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i - 4. Let g(n) = -4*n. What is 2*g(r) + w(r)?\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by 279.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/27, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53513232*y**3 - 266375329?\nAnswer: -160539696*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60071 is divided by 492?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 1331, 1, -0.1, 5 in ascending order.\nAnswer: -4, -0.1, 0, 1, 5, 1331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53007243 is divided by 6625905.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -205*p - 16. Let m(k) = 410*k + 32. Let h(b) = 6*m(b) + 13*x(b). Let g be h(-5). Let r = g - 590. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-4*v - 40 + 40)*(-8*v**3 + 0*v**3 + 2*v**3).\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**3 - 3*z + 2. Let b = 399 - 398. Determine p(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*p - 38 = 0, -2*j + 2*p = -9 - 1. Let l be (-8)\/(-4 + 26\/j). Solve o + l = -4*a - o, 0 = -2*o - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*1*-6*98\/(-35). Let j = l - -254. Let i(b) be the third derivative of b**5\/60 - b**4\/24 - 3*b**2. What is i(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:40 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 + 57*p**3 - 210*p**2 = 0. Calculate p.\nAnswer: 0, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -198, -221, -248, -279, -314, -353?\n\"Answer: -2*d**2 - 17*d - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/5757 - -10940\/1652259. Let f = g - 871\/1435. Let i = 527 - 10011\/19. Which is the nearest to f? (a) 1\/3 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1556 - 0.1023. Round o to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + c - 7*c. Let t(f) be the second derivative of 1\/6*f**4 + 8*f + 0*f**3 + 0 + 0*f**2. What is x(t(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/10)\/g)\/(g**(-2\/9)\/g))\/(((g*g\/((g*(g\/(g\/(g*g**(-11\/2)*g))*g)\/g)\/g*g*g*g))\/g)\/(g**(-5)\/g)) assuming g is positive.\nAnswer: g**(-278\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*b**5 + 1686*b**4 + 12848*b**3 - 14550*b**2 = 0. What is b?\nAnswer: -97, -75\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 2*h**5 + h**4 + (-16*h**4 + 30*h**4 - 8 - 16*h**4)*(2*h - 34 + 34).\nAnswer: -2*h**5 - 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 0)*(-4 + 1). Let z be 50\/15 + 4\/b. Suppose z*g - c - 408 = -g, -5*g + 417 = -4*c. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 19 = -4*b, -4*b - 33 = 2*w - b. Let y = w + 38\/3. Is y greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99984, -99982, -99980?\n\"Answer: 2*r - 99986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9978849 is divided by 1321.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**3)\/(o*(o\/((o*(o**(-9)\/o*o)\/o)\/o))\/o))**19 assuming o is positive.\nAnswer: o**(-247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 2 (b) 30 (c) -3 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 11*n + 7. What are the prime factors of p(8)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - b - b + (0 + 3 + 3)*(-4 - 27*b + 7 + 3*b).\nAnswer: -146*b + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124.716 weeks in hours?\nAnswer: 188952.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6566376 divided by -273599?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Suppose u*a = w + w + 143, 2*a + 5*w - 70 = 0. What is the remainder when a is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/2 + 5*g**3 - 22. What is the third derivative of o(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 3 = 2*r, 3*r - 6 = -3*d. Let i be (96\/(-30))\/(r\/(-5)). Let v(c) = -9*c**3 + c. Let l be v(-1). What is the highest common divisor of l and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3231301213 + -13?\nAnswer: 3231301200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861750 is divided by 2347?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = a + 4*o, -281 = -3*a + 5*o - 268 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**4 + 6*j**4 + 4*j**4 + (-2*j**2 - 7*j + 4*j + 2*j)*(0*j**2 - 2*j**2 + j**2) to the form o*j**3 + y*j**4 + k*j + x*j**2 + a and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 15) to base 16.\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1946852 divided by -486713\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*i + 1 - 24*i + 1)*(0*i**2 - 2*i**2 + i**2).\nAnswer: -5*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7208*c**3*v**2 - 2*c**2*v**2 - c**2 + 456*c*v**2 - 12*v**2 wrt c.\nAnswer: 43248*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.2 (c) -1\/7 (d) -6\/221 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7734 is divided by 47?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3)*l)\/l)**19)**(-5\/2) assuming l is positive.\nAnswer: l**(285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 35*g**2 + 71*g - 49. Calculate the remainder when 167 is divided by l(-37).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 148.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/35 + 69\/21. Suppose 0 = 2*a + 3*a. Let o be 2\/(-1)*(-6 - a). Solve -l = -3*q - o + 4, 10 = 2*l - v*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3914724?\nAnswer: 2, 3, 11, 47, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o + 3. Let r be c(5). Let v = r - -21. Let t = v - -41. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*c + 2858, -c - 2 = -3. What are the prime factors of g?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*d = 33864, 36*n - 4*d = 41*n - 56437. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*v + 46, -3*m + 2*v - 21 = 3*v. What is the tens digit of ((-8)\/(-2))\/(m\/(-124))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329631410 to the power of 1\/3, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:21 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -31, -11 in increasing order.\nAnswer: -31, -11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-15) - (-22)\/120. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-6))\/(1 - -1). Find the second derivative of -4*b + 2*b**v + 4*b**2 + 3*b - 2*b**2 wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -780*u**2 + 162271*u - 6453. What is h(208)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 10*m**2 + 19*m - 20. Let g be o(8). Solve -g*b = b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4731)\/27 + 18\/81. Let v = 508\/3 + d. Calculate the common denominator of v and 0 - (14\/49)\/(2\/59).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f + 86287*f**3 + 2*f - 172527*f**3 + 86279*f**3 - 10*f.\nAnswer: 39*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*((d\/(d**(-28)*d))\/d)\/d*d))*d*d)\/d**(4\/5))**(-16) assuming d is positive.\nAnswer: d**(-2416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 126 = -0*g. Suppose 103 - 1046 = -23*q. Let f = g - q. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -857, -834, -811, -788, -765, -742?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347732.\nAnswer: 2, 7, 11, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245272*r - r**3 - 1 + 245186*r + 1.\nAnswer: -r**3 - 86*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -413 + 401255?\nAnswer: 400442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u - 4*i, 2*u + 3*i - 5*i - 36 = 0. Suppose 0 = -2*d + 4*d - 6. Solve -3*l - u = -4*t, -2 - d = t + l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-1*-4 + sqrt(204))\/sqrt(12).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48530664 divided by -58968.\nAnswer: -823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 1. Let v(g) = -12*g**2 + 3. Let h = 225 + -197. Suppose 5*j - 33 + h = 0. What is j*v(t) + 3*l(t)?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -172\/249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) + 60\/8. Let w be t\/20 + 2\/(-5). Suppose 2 = 2*v - 0*v - 2*l, w = l - 5. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/4*18\/(-45)*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 74. Let u = -26.83 + 27. Let j = u + 0.03. What is the biggest value in a, j, 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcfucucllflutuifftc. What is prob of picking 1 i and 3 l?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 20\/(-48)*-555 - (-1)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27720)\/(-112))\/165*(-6)\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112253230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69165128 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3638*p**3 + 3635*p**3 - 29*p - 7274*p**3 - 11*p.\nAnswer: -p**3 - 40*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518849 - 518875 = 3*o - a, 4*o + 10*a + 12 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 23 + 6*s)*(-4*s**2 - 2*s**2 + 5*s**2) - 270*s**2 - 133*s**3 + 271*s**2 - 10*s**3.\nAnswer: -149*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/8)\/(-3))\/(63\/(-14))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1741 and 1\/8705?\nAnswer: 8705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2239.5247 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8472580.1 rounded to the nearest one hundred thousand?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + (-110)\/(-10))\/(-2 + 5). Let v(p) = 2*p + 10. Let b(k) = k + 7 + 0*k + 0*k. Let x(m) = 7*b(m) - 5*v(m). Calculate x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 156*l - 161*l + 60. Solve l*u - 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2))\/(-1 - -4 - 2). Which is smaller: s or -9\/94?\nAnswer: -9\/94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36945300 by -126525.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4195 + 2c35?\nAnswer: 70ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17b - 3?\nAnswer: -17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iriiriryirr. What is prob of sequence ry?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -325.8012 + 326. Round q to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 161.52?\nAnswer: -323.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -11 - -6 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3339 and 245?\nAnswer: -81.8055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/11*(-23)\/(-46))\/((-28)\/120).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + s**2 - 4*s**2)*(s**2 + 2*s**2 - 5*s**2) + (-4 + 4 - 2*s**2)*(0*s**2 - s**2 + 3*s**2).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + z**2 + 79. Let a(v) = -v**2 - 8*v + 9. Let f be a(-9). Is s(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80101 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.60907 nanoseconds to minutes.\nAnswer: 0.0000000012934845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -649, -1011, -1371, -1729, -2085, -2439, -2791?\n\"Answer: m**2 - 365*m - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*x = -21, 11*x - 9*x = 4*k - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2117 and -43\/146?\nAnswer: 4234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(5 - 12 - 13)*(k + 3 - 3*k - 1).\nAnswer: 40*k - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 14570?\nAnswer: -14561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113.99929 + -114. What is b rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 53. Suppose -a*x = -16 - 6. Let r be 16\/7 + -1*1. Which is bigger: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - -0.20571\nAnswer: 0.26571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*h**2 + 9*h - 9*h + (-3*h + h + h)*(-2*h + 2*h + h) + (h + 0*h + h)*(4*h + 3*h - 6*h) - 4*h**2 + 4*h**2 + h**2)*(0 - 4 + 2).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*y - 4*y + 79, -c + y = -23. Let d = c + -21. Solve -l = 2*j - 6 + 4, 4 = d*j - 4*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161698.\nAnswer: 2, 80849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -129*f. Let h(s) = -193*s. Let k(w) = -8*b(w) + 5*h(w). Let i(c) be the third derivative of -c**5\/30 - 7077*c**2 + c + 1. Determine k(i(v)).\nAnswer: -134*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbzjbz. What is prob of sequence zvz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1700) + -2*sqrt(1700) + sqrt(1700) + -2))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8379*t - 14. Let b(w) = -232*w**2. Determine m(b(k)).\nAnswer: 1943928*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234 + 496 + 418)*(-2*z - z - z) + (-3*z + 0*z + z)*(-3 + 3 + 1).\nAnswer: -2722*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -7. Suppose -b + 2 = -z*b. Solve -b*q = q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/3 - 35*o**2\/3 - 392*o\/3 - 1372\/3 = 0.\nAnswer: -14, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (27 - 28 - 1\/(-1)). Let y be ((-20)\/3 - -3)*(-18)\/t. Calculate the greatest common divisor of 550 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 3, -30?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 116451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from {r: 5, z: 2, e: 9, d: 2}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3 - d + 6 + 3*d. Let y be c(10). Let t = y + -18. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 1984*u + 1984*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*l = 130, 0*l - 2*l = 2*g - 136. Let d = -86 + 93. Suppose 5*o + d*o - 420 = 0. Calculate the highest common factor of o and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5324944*r**3 - 365882*r**2 + 5 wrt r.\nAnswer: -31949664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t - 2. Let m be a(-1). Let y(f) = -f + 1. Let o be y(1). Let g = o + m. Let l(v) = -v + 4. Give l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151*q**2 - 8*q - 251 + 10*q**2 + 126 + 126 wrt q?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/353, -78, 0 in decreasing order.\nAnswer: 2\/353, 0, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.25 - 50.25. Let t = j + 49.999528. Round t to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.308 + 2.557. Let g = 7.1 - z. Let y = -0.235318 + g. What is y rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 713, 0.047, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1918 - 1735 = 91*x + 190*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.5, -2\/7, 0.3, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/6)\/(1\/(-3)). Let h = 0.5 - 0.7. What is the smallest value in h, b, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3161513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 393108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, u: 4}. Give prob of sequence wwuw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 15*n**2 - 18*n - 11. Determine y(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458*l - 1022*l + 1327*l = 39202 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -180616, -180626, -180650, -180694, -180764, -180866, -181006, -181190?\n\"Answer: -s**3 - s**2 - 180614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, -2, 29, 1\/5, 8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 930558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 151*x - 1099. Determine u(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10104688 - -10104692.899883. Let w = -4.9 + x. Round w to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1620 = 5*u - 2*j, u - 42 = j - 369. Let g = 392 + u. What is the highest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 18 = d, -3*n - 20 = -3*d - d. Suppose 16 = -d*j + x, 3*x = -j + 6*j + 39. Does 4 divide j*(-1 - 0\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Solve q*x - x + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4671083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1022 + 2095. List the prime factors of g.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*n + 2, 0*n = 3*d + 3*n. Let h = d + 5. Suppose -5*b + b = 0. Solve b*w - h = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 124 (b) -2\/5 (c) -12 (d) 1.897 (e) 5 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**7\/840 - 7*h**6\/480 + 9*h**5\/80 - 29*h**4\/96 + 5*h**3\/12 - 53*h**2. Solve y(j) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30545, 30655, 30837, 31091, 31417, 31815?\n\"Answer: 36*z**2 + 2*z + 30507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7083581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1441612, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 + 9*a**2 - 285*a + 1304. What is h(7)?\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = 13*a + 24*u - 18, -u - 4*u = a + 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 = -g, 80 - 9 = 3*g - 2*r. Suppose 23 = 6*w - 1. Solve 9 = w*x + g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15.32 in 4\/3, -5, 1\/4, -2, 274?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + l = 17*b - 114661, -2*b - 4*l + 114646 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 334 = 4*w, 0 = 2*w - 3*j + 5*j + 168. Let y = w + 85. Which is the nearest to y? (a) 3\/7 (b) 1\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 2, b: 9, f: 1}. Give prob of sequence tb.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5595*i - 2054*i + 1122*i.\nAnswer: -6527*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**5*q - 4*p**5 - 2*p**2*q - 32*p - 4*q wrt p.\nAnswer: -80*p**3*q - 80*p**3 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 4*q. Let w be i(-3). Solve 3 + w = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2230 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 22*y**2 - y. Let s be d(1). Put 5, -5, s in increasing order.\nAnswer: -5, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**14\/y**(-19)*y\/(y*(y**(5\/7)*y)\/y)*y*y**(-13\/2)*y assuming y is positive.\nAnswer: y**(389\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**8))\/((d*d**(1\/18))\/d)*d\/d**(2\/5)*d*d**(-1\/7) assuming d is positive.\nAnswer: d**(-3527\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*f - 3. What is the nearest to 0 in f, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 + 393*x**4 - 1524*x**3.\nAnswer: -3*x**3*(x - 127)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b - 6. Suppose 47*k = -46*k + 95*k. Calculate j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {z: 5, i: 1, t: 1, e: 1, q: 4, x: 5}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3\/3 + 13*g**2\/2 - 2*g - 15. Let c be l(-13). Let b be 4 - (-1 + c + -6). Which is smaller: 23\/2 or b?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 0 + 3*f - 5 - 4*f - 5*f + 6*f**2. Give h(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43221719.25 + -0.2.\nAnswer: -43221719.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-24) + 44\/16. Suppose 0 = -q + 5*q - b*h - 1067, 2*h + 1062 = 4*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024975776 to 3 decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-49))\/((-375)\/225).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 62. Suppose 3*o + 8 = -2*j, -2*o + 20 = -6*o - 5*j. What is the remainder when x(o) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40805 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -173.19 and -565.\nAnswer: 97852.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 914.0683 to the nearest ten.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((160\/480)\/(150\/27)*4\/(-6))\/1?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4244 = -3*k + 4*k, 3*k - 12697 = 2*o. Let v = k + -3015. Let a = v - 7337\/6. Calculate the common denominator of 27 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let o = 732 - 729. Is o greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368416649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.1. Let v = 0.805 + 0.015. Let p = 0.32 - v. Which is the closest to h? (a) 4 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, -29, -73, -133, -209?\n\"Answer: -8*q**2 - 4*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214646*n**2 - 3 - 107321*n**2 - 107323*n**2 - 2 + 5.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 283679 and 1018809?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13753 in -6, -1\/3, 0, 4, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -6 (c) 3 (d) -2\/19 (e) 394\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1678 and -115\/108.\nAnswer: 90612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3969*d*u + 20*u - 14 wrt d.\nAnswer: 3969*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*j - 242*j = -1430*j - 22*j - 7360 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11979 and 18558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/(-90))\/(2\/(-6)) - -10. Solve 4*d - 15 = -x*t + 12*t, -5*d + 2*t = -21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 18. Let f(b) = -b + 37. Let p(n) = 7*a(n) - 3*f(n). Suppose -38*h + 102 + 12 = 0. Let u be p(h). Solve u*x - 2 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 410 - -1480. What are the prime factors of c?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-1)*4\/12*-3*-1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -206*o + 86. Let z(i) = -i - 17. Calculate -2*d(l) - 10*z(l).\nAnswer: 422*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*a + 2604 - 2604)*(-1 - 4*a + 1).\nAnswer: -340*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-60) + (-2391)\/(-3985). Factor 0*n + 3*n**3 + 0 - 9\/4*n**4 + 0*n**2 - i*n**5.\nAnswer: -3*n**3*(n - 1)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 10 + w**2 + 0*w**2 + 160.\nAnswer: w**2 - 4*w + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*j + 2*j + 17 = 0, 0 = -5*l - 3*j - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -0.94 (b) 4\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -112*s**2 + 56*s - 4. Let x(b) = 117*b**2 - 48*b + 4. Let c(u) = 6*a(u) + 7*x(u). Let h(d) = -4*d**2. What is c(h(k))?\nAnswer: 2352*k**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 281840*b**2 - 495407 wrt b.\nAnswer: 563680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -36286*h + 2. Suppose 4*c = 3*v - v + 20, -3*v = -c - 5. Let y be m(c). What is y rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -18.7.\nAnswer: 56.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 121301 (base 4) in base 7?\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.207 (b) -0.2 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1423.528l?\nAnswer: 1423528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 121311233021 (base 4) to base 6\nAnswer: 401103425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0, -1484025, 3, 1\/4, 2, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -18*o**2. Let j(t) = -7*t**2 + 6. Let u(x) = 8*x**2 - 7. Let r(c) = 7*j(c) + 6*u(c). Give l(r(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6526 and -1?\nAnswer: 6526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*c + 541, -2*i + 2*c = -c - 263. Suppose 0 = -5*a + 171 + i. Calculate the remainder when a is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 7*h**2 + 8*h - 1. Let b be p(8). Is 2 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9403, 18759, 28079, 37345, 46539, 55643, 64639?\nAnswer: 73509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 e when three letters picked without replacement from {e: 3, w: 3, r: 3, q: 2, y: 3}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 7*s**3 + 25 + 27 - 97.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146608\/(-1960) + 36\/45.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {c: 2, d: 4, z: 1, v: 1, s: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3*2\/12) - -8. Suppose -275 - 505 = -b*z. Let m = z + -126. Solve -4*x = -0*x - m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, 39.\nAnswer: -5, -4, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1109 - 2c0b?\nAnswer: -4017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 6155490.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*b + 40, 4*b - b + 4*m + 3 = 0. Let r = -57 + 56.6. Let l = -2.02 + 0.02. What is the closest to l in b, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 4*w = -75, -16*n - 3*n - 5 = -16*n - 4*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4 = s, -s + 2176*o = 2170*o - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23495.25 + -23495. Is r less than 0.362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/(-6)*(-2 - 24).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -427\/3 + 143. Let s = -0.2 - -0.1. Let l = 5.5 + -10.5. What is the closest to s in k, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*n - 295*n + 466*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 60\/45*(-54)\/(-99)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**6\/120 - k**4\/24 - 24*k**2 - 187. Let z(b) be the second derivative of h(b). Calculate z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = -u - 8*u - 13*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/351589 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 55 = -5*d, -5*c + 3*d - 70 + 7 = 0. Let m be 10\/35 - 96\/42. Let i be c\/m*(-32)\/(-20). Calculate the greatest common factor of 18 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 3.5811?\nAnswer: -1.79055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13761 + 13778. Solve 0 = q - j - 3, -2*q - 2*j = -11 + a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1671 + 7686. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -71. Let w = a - 37. Let z = -9.9999945 - w. Round z to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 81. Let i = m + 72. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/120*(-5)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (27698\/22)\/((-2)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 593340 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-4)\/(-24)*-2. Suppose 6*t - 10 = 2. Is t bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 2, c: 1, t: 8, p: 7}. Give prob of picking 3 t.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 446 + 251?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/176 - 28\/((-221760)\/(-2820)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 130743902 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5112*u - 5027*u = -1615 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 = -4*d + 13, -5*d - 5 = -4*m. Let j(w) = w**2 + 4*w - 5. Let s be j(d). Is 16 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 114 = -5*l, -3*l + 75 = -2137*x + 2138*x for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*w - 4 = 0, 4*w = 3*w + 5. Solve x + y*x = 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in 1\/6, 26, -0.4?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 239*j + 1800. Give k(-8).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (825\/36 + 55\/660)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -425\/9 + 47. What is the nearest to -0.2 in -3\/7, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(2\/23)\/k)*k)\/k)\/k*k*k**(-2\/9)*k*k**(-4)*k\/(k*k\/k**(-1\/3)*k*k) assuming k is positive.\nAnswer: k**(-961\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 v when four letters picked without replacement from {t: 6, v: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1959402 (base 12) in base 6?\nAnswer: -310322402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/21 + 1\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11438358 is divided by 1397?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -30*g. Let n(w) be the second derivative of -w**3\/2 - 70*w - 2. Give n(j(z)).\nAnswer: 90*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*s - 40 = 0, 4*s + 20 = 4*n + 4. Let p be (-6)\/15*(-16 + 1). Are p and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:55 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -6*h + 72. Let n(j) = -j**2 + 1. Let a(p) = 10*p**2 + 80*p + 792. Let v(x) = h*n(x) + a(x). Determine b, given that v(b) = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - -157 - 210 - -17?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2*g**3\/3 - 7*g**2\/2 - 6*g + 2126. Give y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3 - 0, -b + 167 = 3*l. Let u = -55 + l. Is (u - 0)\/(7\/6601) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.13 + -27. Let x be 48 - (-14 - (-3120)\/50). Let y = 247 - 2715\/11. Which is the closest to 1? (a) u (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/21, 0 in increasing order.\nAnswer: -1, 0, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22172 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (63\/(-14) - -5) + (-2)\/8. Let o = 0 - -1. Let j = o + -5. Sort r, j, 5 in ascending order.\nAnswer: j, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*m = 2, 0 = 1025*m - 1021*m - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-36)\/w)\/w**(1\/4)*w**(-5\/3)*w*w\/(((w\/(w*w\/(w**(-17)*w)))\/w)\/w*w) assuming w is positive.\nAnswer: w**(-227\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -24 - (11 + 0) - (1 + -8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 384 divided by 128\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/832247 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -207576 = -207572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 4, -3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 3*b**2 - 10*b + 6. Calculate j(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 1. Let d = 28 - 29. Let a be n(d). Let l be ((-45)\/(-36))\/(a\/8). Solve l*k + 3*b - 1 = 0, -4*k - 2*b - 3*b + 6 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.048233 and -0.097.\nAnswer: 0.004678601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 2*q. Suppose h = -0*h + 1, -5*b + h = -19. Suppose -l = b*p + l + 12, 0 = -4*p + 4*l. Calculate the smallest common multiple of 22 and a(p).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27872486 and 35938.\nAnswer: 5134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 4 + -1 + 15 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1824 and -9\/40?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - g - 4*g + 5*g - 3*g + 0*g + (-1 + 2 + 0)*(1 - 2*g - 1) + 0 + 0 + g + 0*g - 3*g - g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than -3837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h**5\/11 + 144156*h**4\/11 + 1421104*h**3\/11 - 745824*h**2\/11 - 5684960*h\/11 + 676800\/11 = 0.\nAnswer: -4230, -10, -2, 2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 748*w**2 + 239681567 - 239681567 in the form g*w**2 + o + x*w and give g.\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0 + 0)*(-3 + 3*l + 3) + l**2 - l**2 - 2*l**2 + (-2*l + 2*l - l)*(-4*l + 5*l + 0*l) + 2*l**2 - l + l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1022 minus 5474?\nAnswer: -5474.1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -4, 4, -5 in descending order.\nAnswer: 4, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, q: 1, j: 2, c: 1}. What is prob of picking 3 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 + -4 - ((15 - 8) + -28).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 274940221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + i**2 + 8*i**4 + 4*i**4 + 2*i - 11*i**4 to k*i**4 + o*i + q + g*i**2 + a*i**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8794*g - 4392*g - 4401*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*o + 11 = 0, -23 = -3*v + 278*o - 274*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -47*x + 9. Let y(r) = 12*r - 2. Let c be -1*(50\/150)\/(2\/12). Give c*h(k) - 9*y(k).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + -95. Suppose -4*r = s*y - 160, 0 = -2*r + 1 - 5. Calculate the remainder when 124 is divided by y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 - 2*i - 5. Let d be h(0). Which is bigger: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78*p**2 - 92*p**2 - 293*p**3 - 24 + 32*p + 295*p**3.\nAnswer: 2*(p - 3)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-16)\/3)*-33. Let t(i) = -i - 14*i**3 + 5*i**3 + 11 + 10*i**3 + 5*i**2. Let u be t(-5). Calculate the highest common factor of u and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 11*m**3 + 4*m**2 - 14*m**2 - 4*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 13 = 3*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048876 to three decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/253 and 79\/236992.\nAnswer: 2606912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llii when four letters picked without replacement from iiiiiliiiiliiliiii?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/5)\/d*d*d\/d**(2\/23) assuming d is positive.\nAnswer: d**(128\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*u + 31 = 0, 9*f + 370*u = 373*u + 51 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(4 + 1)*1. Let o(w) = -w + 6. Let g be o(5). Which is the closest to -2\/3? (a) g (b) h (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 2*t**2 - 2*t + 5. Determine i(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10516102 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x - 10. Let s be g(-2). Let u be (5\/4)\/(8\/s). Which is the third biggest value? (a) u (b) -3 (c) -3\/2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.7 - 14.7. Which is the biggest value? (a) -3 (b) h (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4391, -4379, -4359, -4325, -4271?\nAnswer: -4191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 5) in base 9?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-169)\/(-130) - (-2 + (-9)\/(-5)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24281 is divided by 6056?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -851*o**2. Let i(b) = 2*b**2. Calculate i(a(u)).\nAnswer: 1448402*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2872, 5722, 8572, 11422?\n\"Answer: 2850*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 562 + -562. Let i(z) be the first derivative of 1\/2*z**2 + 0*z + 7 + v*z**3 + z**4. What is the second derivative of i(n) wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 451.8 + -450. Sort -2, 0.1, u in descending order.\nAnswer: u, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33882 <= -33885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(-45)\/r))\/(r*r*r**(2\/15)*r))**40 assuming r is positive.\nAnswer: r**(5384\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-21\/4))**8\/(f**(-21)*f**(3\/5)*f**(-1\/3)\/f) assuming f is positive.\nAnswer: f**(-304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 16, 5, 0, 3\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3 + 3)*(3017*u**2 - 411*u**2 + 4513*u**2).\nAnswer: 7119*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*c - 1 = 0, 3*c + 9 = -2*h + 2*c. Suppose -8 = 4*q - 0*q. Put 5, h, q in ascending order.\nAnswer: h, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 511038, 511089, 511140?\n\"Answer: 51*o + 510987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 44 + 4 = -3*l, 30 = 4*y + 2*l. Solve 5*p - 5*x - 25 = 0, -3 = y*p + 4*x - 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 94632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 - 300*l\/7 + 11250\/7.\nAnswer: 2*(l - 75)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*q + 8 = 0. Suppose -5 = -2*u + m, -2*u = 3*u - m - 5. Put q, u, -2 in descending order.\nAnswer: u, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 59 (b) 3\/5 (c) 2965\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**2*n**4 + 80*h**2*n**2 + 96*n**4 + n**2 wrt n.\nAnswer: 72*h**2*n + 2304*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/194560 and -33\/4688896.\nAnswer: 46888960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c**2*w**3 + 242*c**2 - c*w - 205203*w**4 - 3594 wrt w.\nAnswer: -72*c**2*w - 2462436*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 862*y**3 + 703*y**2 - 7*y - 14. Let b(x) = 862*x**3 + 706*x**2 - 6*x - 12. Let z(r) = -7*b(r) + 6*s(r). What is the third derivative of z(o) wrt o?\nAnswer: -5172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 51 = -3*z. Suppose g = -2*d + 9, 0*d = -5*d + z*g + 18. Differentiate 25*p**4 + 23*p**4 - 24 - 14*p**4 - d wrt p.\nAnswer: 136*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -229?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5770 - -41331?\nAnswer: 35561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 337400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - 1*sqrt(133))*-2 + (sqrt(133) + (sqrt(133)*-2 - sqrt(133)))*-2)\/(sqrt(56)\/(sqrt(8) - -1*sqrt(8)) + (2*sqrt(84))\/sqrt(12)).\nAnswer: 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*30\/5. Suppose -h + g + 0 = 0. Let p = 204 - 198. What is the remainder when p is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 400*l**4 - 4040*l**3 + 4001*l**2 - 370*l + 9.\nAnswer: (l - 9)*(l - 1)*(20*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 2*k + 10*k**3 + 0*k to the form t*k + n*k**3 + j*k**2 + x and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - 4*v**2)*(-v**2 + 3*v**2 + 4*v**2) + 113*v**4 + 129*v**4 - 160*v**4.\nAnswer: 58*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2757, 2756, 2755?\n\"Answer: -h + 2758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2942, -11790, -26538, -47186, -73734?\n\"Answer: -2950*c**2 + 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 + 160. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294, 316, 324, 312, 274?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**4\/3 + j**3 - 62*j**2. Let q(g) = -17*g + 11. Let d(v) = 6*q(v) - 11*u(v). Let m(c) = 2*c**2. Give d(m(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**3 - 21*d**2 + 23*d. Determine v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111\/364 or -1?\nAnswer: -111\/364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 147179320 divided by 10\nAnswer: 14717932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k - 10*k + 3*k in the form t + i*k and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 5 + 25 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 16. Let q = 5.07 - 0.07. Which is the second smallest value? (a) 2\/7 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 11\/862?\nAnswer: 11\/862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*r = 784*r - 15066 for r.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -39*r - 2. Let t(k) be the first derivative of k**3\/3 - 95. Give t(m(y)).\nAnswer: 1521*y**2 + 156*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38712995 divided by 367\nAnswer: 105485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50036 by -50036.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4393 is divided by 71.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 36 = -o. Let c be 35\/15 + 2\/(-6). Let a be c + (o + 3)\/3. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/7)*p*p\/(p\/p**(1\/3))*(p**(2\/9)\/p)**(12\/5))**(-24) assuming p is positive.\nAnswer: p**(808\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3239410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -10, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288597 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3 (c) -0.5 (d) 5 (e) 108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*x**4 + 15\/4 + 1\/4*x**5 - 47\/4*x - 9\/2*x**3 + 25\/2*x**2.\nAnswer: (x - 3)*(x - 1)**3*(x + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c5 + d1c3?\nAnswer: cbdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4250 times -1.95\nAnswer: 8287.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 7 - (-164)\/4 - 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 26*g = 2067. Suppose 0 = -16*m + 751 + g. Calculate the least common multiple of 15 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/11)\/(d*(d\/(d**(2\/11)*d))\/d*d)*d**4\/(d*d**(5\/2)*d*d)*(d**1*d**(-3))\/((d\/d**(-7))\/((d*(d\/(d\/d**3))\/d)\/d)) assuming d is positive.\nAnswer: d**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 n when four letters picked without replacement from eeeynnye.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6462247*y + 6462293*y = 3818 for y.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.852 - -0.752. Let n = 136 - 128. What is the third smallest value in j, n, -10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5*130\/(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 21*c**2 + 5*c - 13. Let g be 6 + (-9)\/7 + (-4)\/(-14). Let y be u(g). Suppose -5*z = -y + 147. What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x - 40 + 115. Suppose -x*w = q + 4*q - 50, 5*q - 58 = -w. Let s(y) = -11*y + 1. Calculate the remainder when s(-3) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2 (c) -8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2695, 10793, 24335, 43357, 67895, 97985, 133663, 174965?\nAnswer: 221927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -38 - a**3 + 11*a - 123 + 28 + 30*a**2. Is j(24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d**3 - 2)*((4*d + 0*d - 2*d)*(4 - 1 + 1) + 2 + 2*d - 2).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwwkww. Give prob of picking 2 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.508 - 0.3?\nAnswer: -7.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**4*x - 2*v**2*x**2 + 6*v + x**2 - 177 wrt v.\nAnswer: -8*v**3*x - 4*v*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 6}. Give prob of picking 3 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 64764.18 milligrams?\nAnswer: 64764180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -j - 2, -2*j + 0*j + 7 = -3*o. Solve j*d = -6 - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (12 - 10 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*j - 395 - 9031 = -55*j - 1557 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -24*j - 5. Calculate w(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5 - 635*t**4 + 30353*t**3 - 330217*t**2 - 1212678*t - 851472 = 0. What is t?\nAnswer: -2, -1, 27, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-3)*10*(-33)\/220\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 187 (b) 4 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 3*o. Let k(l) = l - 2. Suppose -5*b - 25 = -5*r, -b + 1 + 3 = 2*r. Let n(d) = -2*d + 3. What is o*n(u) + r*k(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*473384482\nAnswer: -189353792.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 5) in base 14?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.53 + -0.4. Let q = i - -0.17. Which is bigger: 11 or q?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1005*a - 2009. Let b be q(-2). Is 148\/63 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, h: 13}. Give prob of sequence ss.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-30)*-4*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3297 - -3264) + (-1 - -2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrnynrnnytt. What is prob of picking 3 r?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910123?\nAnswer: 449, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4210072 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213819 and 49051.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 34 = 4*m, -n - m - 5 = -18. Let s be -53 + 1 - 6\/6. Let u = s + 98. Calculate the highest common divisor of n and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*m + 1 + 1 = 0, -2*x = -4*m + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c - 3921173 = -3922442 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 - -1483\/9. Let b(z) = -z**3 + 3*z**2 - 2*z + 4. Let a be b(3). Let w be a*(-6)\/(-40)*-5. What is the nearest to 2 in w, -4, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 > 40034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, 55, -246, -2 in increasing order.\nAnswer: -246, -2, 4, 11, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 7*y**2 - 3*y - 5. Let h be j(-7). Let q(k) = -k**2 - 10*k - 5. Let m be q(-7). Calculate the greatest common factor of m and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 4*b**2 - 3*b - 1. Let d be z(-2). Let q = d + 1. Let o be 2 - (q + -2 + 5)*-2. Solve 0 = 4*a + 5*r, -5*a + 21 = -3*r + o*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 5 = 4*m + 5*k, 27 = 3*m - 5*k. Let n(u) = 4686*u + m*u**2 + 4686*u - 9372*u. Let i(q) = -3*q**2. Calculate i(n(a)).\nAnswer: -243*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 30. Let d = 5 + p. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 28. Let p = 14.86291 - -1.13849. Let u = p - i. Round u to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 8 - 4*u - 5 - 3.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1251 + 1419. Calculate the remainder when y is divided by ((-34)\/8)\/(20\/(-80)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 17*m**2 - 5*m - 5. Let y(f) = -7*f**2 + 2*f + 2. Let u(t) = 2*i(t) + 5*y(t). Let z(q) = -245*q**2. Give u(z(v)).\nAnswer: -60025*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 1922, 3815, 5710, 7607?\nAnswer: 9506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5597 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 95 - -79?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, 35, 62, 105, 170, 263?\n\"Answer: k**3 - k**2 + 13*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1181 = -3*p, 3*p - 3 = 3. Let k be z\/(-15) - (-4)\/(-6). Is k smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 85 + 109 = u, w + 13 = 2*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**5\/60 - 3*w**4\/8 + 3*w**2\/2 + 3. Let i(v) be the second derivative of c(v). Does 10 divide i(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7991381 divided by -19\nAnswer: -420599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(-41)\/164?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 119059 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-2) - 2\/(-1). Suppose -c = -4*l + 15 + 25, -2*l - c + d = 0. Suppose 2*f = -2*u + 24, 0 = -2*f + 3*u + l + 30. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**3 + 972*p + 2*p**2 + 5 - 973*p + 2 as r + v*p**2 + n*p**3 + y*p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j**3 - 27*j**3 + 9*j**2 - 7*j**2.\nAnswer: 4*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 2, a: 3, o: 5}. Give prob of picking 2 a, 1 o, and 1 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1243 and 93841?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -1\/2 (b) -5\/14 (c) 14 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267471 less than 3363629?\nAnswer: 96158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqnrzod. What is prob of picking 1 d and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174031\/56 + 3108. What is the common denominator of s and 71\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708 is divided by 399?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - l + 74 - 25 = 0, -2*x = 4*l - 14. Let m = x - 8. Let d(i) = i**2 + 13*i - 113. Let o be d(6). Sort -3, m, o in descending order.\nAnswer: m, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822506910 rounded to the nearest 1000000?\nAnswer: 2823000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.501, 3\/3016 in ascending order.\nAnswer: 3\/3016, 0.501, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i. Let x(j) = -36958717*j**2. What is n(x(k))?\nAnswer: -73917434*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 4*b. Calculate the remainder when w(-3) is divided by (-2)\/(-3)*(-135)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.11 + -0.11. Let a = -0.9 - -3.9. Let q = -6.9 + 7. What is the closest to q in a, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = a - 104. Suppose -3*j = 3*l - 720, 4*j = -l + 880 + a. Suppose j = 72*c - 68*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8354\/9 - 930. Is -4 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2 - 1635\/(-10). Let c = i - 120. Calculate the remainder when 89 is divided by c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5\/7, -0.5, 0.5, 1\/4?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, o: 1, h: 2, y: 1}. Give prob of sequence hr.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12293*p + 12271*p + 308 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - p + 11. Let l(x) = -x**3 + x**2 + 2*x - 2. Let z be l(1). Determine g(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -351 + -535. Let l = c - -1563. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.8. Suppose -5*n - x - 15 = 0, -n + 10 = -6*n - 2*x. Let r be (n\/9)\/((-16)\/(-24)). What is the second smallest value in m, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 6*d - 7. Let r be i(-5). Sort 4, -5, r in increasing order.\nAnswer: -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 9. Suppose 5*o - 8 = 3*o. Solve t + a + 4*a = o, i = 3*t - a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1107035 divided by 25745\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12088 or 12075?\nAnswer: 12075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 + 32*l**2 + 96*l**2 + 220*l + 0*l**2 wrt l?\nAnswer: 6*l + 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**7\/126 - x**6\/30 + x**5\/20 - x**4\/36 - 3*x - 3. Let t(w) be the first derivative of a(w). Factor t(c).\nAnswer: c**2*(c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -44, 1\/4, 3\/4, -0.06 in decreasing order.\nAnswer: 3, 3\/4, 1\/4, -0.06, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7331847 + 1.21787.\nAnswer: 1.9510547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/16)\/((-2)\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 50. Let i = t + -48. What is the common denominator of 97\/14 and ((-316)\/(-80)*6)\/(6\/i)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135036 = -5*c + 2*i, 2*i + 81024 = -64*c + 67*c. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 5*y**2 - 5*y + 2. Let p be v(4). Let h = p - -8. Solve 5*a + h = 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511872511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*f - 2*w, 4*f + 1 = 2*w - 19. Let x = f + 5. Let v be 4\/(-6) - x\/3. Solve 2*k = -2, v*n + 1 = n + k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 38. Suppose -3*w = -4 - 5. Suppose 4*g + i = w*n - 22, -2*g = 2*n - 14. 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 -3 + 9 + -3 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -249709437, -499418875, -749128313, -998837751, -1248547189?\n\"Answer: -249709438*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1282)\/(-18589) + 0 + (-64)\/87. What is the smallest value in -0.5, 7\/8, y, -5\/2, 0?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6432 by 24.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42969, 40139, 37311, 34485, 31661?\n\"Answer: x**2 - 2833*x + 45801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(5\/3))\/b**(1\/10))\/((b*b\/b**(-7))\/(b\/(b**1*b)*b)) assuming b is positive.\nAnswer: b**(-193\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1054 = 27*x + 7*x. Let h = 7 - 36. Let m = h + x. Solve 0*s = -m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12575510 by 19.\nAnswer: 12575510\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6, -q + 18 = 5*d - 65. Calculate the lowest common multiple of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 5*l + 4. Let o = -1 + 1. Suppose -5*k + u + 29 = o, 0 = k + 5*u - 7 - 4. Let t = 1 - k. Determine c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -4\/9 (c) 2 (d) 0.0403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93578\/287 less than 327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326015234 - 913*v + 326015234.\nAnswer: -913*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*h - 98 + 106, y - 12 = -3*h. Determine f so that 2\/15*f**3 - 22\/15*f + y + 4\/3*f**2 = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -748, -735, -718, -697, -672, -643, -610?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.457745 millimeters to nanometers.\nAnswer: 2457745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-3*7\/189.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4.9166 + -43\nAnswer: -38.0834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7714740 - -123?\nAnswer: -7714617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/8 + 52*s**4 + 3441*s**3\/4 + 4968*s**2 + 97173*s\/8 + 10773.\nAnswer: (s + 3)**3*(s + 8)*(s + 399)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v**4 + 8 + 2*v**2 - 12*v - 9*v**4 + 14*v in the form j*v + z + k*v**4 + o*v**3 + f*v**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24119361751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55004947 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 7}. What is prob of picking 1 b and 1 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440 divided by 257?\nAnswer: 5440\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -704*l**3*p**2 + 2*l*p**2 - 403*p**2 wrt l.\nAnswer: -2112*l**2*p**2 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12239 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: Four letters picked without replacement from {v: 5, n: 2}. What is prob of sequence vvnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + 86\/(-3). Let c = r + 33. Suppose -44 - 16 = -c*l. Calculate the remainder when 31 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u - 192857 = 426157. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - o + 6492, 2*a - 6*a - 5*o + 12978 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27285)\/48 + (-2)\/(-8). Let r = 567 + p. Let o = 289021\/54600 - 4\/2275. Find the common denominator of r and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0459075 - 456.\nAnswer: -455.9540925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1539)*-1*5)**2 + 3 + -2 + sqrt(1539) + -1)*6*2.\nAnswer: -923400 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -73*d**3 + 2*d**2 + 3*d. Let m be l(-2). Is (-1 - 2)\/((-6)\/m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 729 divide 587731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 7*l**4\/12 + l**3\/6 - 3*l. What are the prime factors of v(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*a + 3*l = 59, 4*a - 28 = 4*l. Let n(t) = -t + 10 - t**3 + 12*t + t**2 + 8*t**2. Calculate the lowest common multiple of 18 and n(a).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = 0, 2*v = -3*v + j + 149. Let y = -7 - -17. What is the remainder when v is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 877*h - 1680*h + 295*h + (-6 + 4 + 0)*(-h + 0 + 0) to the form r*h + z and give r.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63306 (base 9) in base 14?\nAnswer: 1133c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1542815409, 1542815408, 1542815407?\n\"Answer: -w + 1542815410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -3)*4 - -1930004*1. Round h to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2339 + 217529\/93. Which is the closest to 0.1? (a) -2\/17 (b) -0.3 (c) s (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11469072, -11469074, -11469076, -11469078, -11469080, -11469082?\n\"Answer: -2*v - 11469070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 + 12*y**2 - 4*y + 14*y + 12 + 4*y**3. What is the tens digit of m(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51540899 is divided by 4337?\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 79*k**2 + k - 1. Is s(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243 + 331. Suppose -6*q + 328 = l. Calculate the greatest common divisor of q and 192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 + 82*t**2\/3 + 3988*t\/9 + 416.\nAnswer: 2*(t + 1)*(t + 18)*(t + 104)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*k**2 + 59*k**2 + 65*k**2.\nAnswer: -43*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = 0, 5*b = -5*w - 23 + 68. Calculate the lowest common multiple of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -16784183?\nAnswer: -4\/16784183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p - 51. Let n be d(7). Let v(j) = j**2 - 29*j + 79. Let q be v(n). Which is the nearest to -1? (a) q (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3556.894 to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 6 (c) -4510\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -700*c - 5852 + 29652 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1000030836, -1000030838, -1000030840, -1000030842, -1000030844?\n\"Answer: -2*z - 1000030834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 + -0.29. Which is the nearest to q? (a) -10\/3 (b) -0.5 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 12*w**2 - w + 1. Let q(p) = p**3 - p**2 - p - 2. Determine d(a) + q(a).\nAnswer: 2*a**3 + 11*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - z = 15, 0*p + 2*p + 6 = z. Let l be (0 + -1)\/(1\/p). Suppose -9 = l*t - 36. What is the greatest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-9))\/(-4)*0\/5. Let p(g) be the third derivative of 2\/3*g**3 + b + 0*g + 0*g**4 - 7*g**2 + 1\/20*g**5. Find the first derivative of p(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 20 = 4*g, -m - 31 = -5*g + 3*m. Sort g, 1, 2 in decreasing order.\nAnswer: g, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 15 + 3. Which is the nearest to 0.03? (a) 0.1 (b) r (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 5*r + 2. Let j be h(0). Which is the biggest value? (a) 3 (b) -4 (c) -2\/37 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.06 (b) -26 (c) 0.3 (d) 0.026 (e) -4 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 + 18*x**2 - 5*x**2 + 2 + 0 - 14*x**2 to i*x + c*x**2 + n + j*x**3 + m*x**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3\/3 + 1. Let z(d) = 12*d. Calculate z(a(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-45))\/((-132)\/(-20)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8) - (141\/(-180))\/(3\/(-9)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.63 + 12.634392. Round y to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19998 is divided by 200?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -313, -1050, -2487, -4858, -8397, -13338, -19915?\nAnswer: -28362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2706 + -a?\nAnswer: 26b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1 - (-11)\/8). Suppose 2*m - 4*m + l = 0. Suppose 0 = -2*j + m*j - 34. What is the remainder when 65 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -333 + 366. What is the highest common divisor of s and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001101 + -100111011?\nAnswer: 10010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407.06 + -411. Let c = 0.06 - i. Suppose 0*z - 5*z = 25. What is the second biggest value in c, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 324 + -85. Suppose -371 + f = -6*u. Calculate the remainder when 213 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 667 or 668?\nAnswer: 667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 - 11*p + 14*p - 5*p**3 + 2*p**2 + 22*p to the form w + n*p**2 + y*p**3 + u*p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 10 + 13 + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(40) - -2*sqrt(40))\/sqrt(8) + (sqrt(5) + sqrt(45) + 0 - sqrt(5))**2).\nAnswer: -135 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/5)*r**(-19))\/((r\/r**(-7))\/r**(4\/17)) assuming r is positive.\nAnswer: r**(-2207\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -54, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.3 (c) 2 (d) -31 (e) -1 (f) 134\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.87 + 36. Let m = -0.129 - -0.129. Which is the nearest to m? (a) -0.1 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.712834 to two decimal places.\nAnswer: -12.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10 and 209\/3780?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6483\/52 smaller than 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m + m**2 + 0*m**2 + 9*m. Let x(r) = 5*r. Determine o(x(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/342 and -50\/344079.\nAnswer: 13075002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -13514\/1135?\nAnswer: -13514\/1135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/(55 - -8))\/(60\/81)?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**4\/6 - p**3\/3 + 131*p**2 - 3*p + 35. Differentiate j(x) with respect to x.\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*h = -7*u - 21, 0 = -3*u + 5*h + 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6)*(-30)\/4. Suppose -13 = -g*k - 3. Suppose 3*v = k*v. Are 0 and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 20 + (-17 - -5) + 6 + -13?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/84 (b) 4 (c) 0.4 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -55*z**2\/2 - 25*z + 110. Let r be f(-1). What is the highest common divisor of r and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-119)\/(-35) - (2 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 7.8?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*v - 19, -2*v + 19*i - 18*i = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 10 - (6 + 1\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 e, and 2 y when four letters picked without replacement from {v: 1, e: 2, y: 2, g: 4, f: 3}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2573803, 2573789, 2573753, 2573683, 2573567, 2573393, 2573149?\nAnswer: 2572823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 42, -187 in descending order.\nAnswer: 42, -2\/3, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1305, 2390, 3461, 4524, 5585, 6650, 7725?\n\"Answer: t**3 - 13*t**2 + 1117*t + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 6, e: 1, l: 7, c: 2}. Give prob of picking 1 l, 1 x, and 1 z.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 55912636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(108))**2 + 3)*-3 + -3 + (-2*sqrt(108)*6 - (3*sqrt(108)*2 - sqrt(108))**2).\nAnswer: -3039 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -9 - -6) + (2 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) 1\/16 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*p + 5, -45 = 5*p - 0*z + 4*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 98 = -8. Suppose -4*z - 4*s = -9*s - 129, -3*z + 105 = -s. What is the highest common factor of z and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11484 + -11364. Which is the nearest to 1\/2? (a) j (b) 0.02 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 5*w - 10. Let b(r) = -3*r**2 + 14*r - 29. Let t(a) = -6*b(a) + 17*c(a). Give t(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 425 and 182375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1617))\/(sqrt(3) + sqrt(288)\/sqrt(6)).\nAnswer: -7*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 88\/(-7) + 12\/21. Let h = 21 - r. Calculate the remainder when 64 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, 0.3, -957?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02291302 rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 7*q**4\/4 - 31*q**3\/3 + q**2\/2 + 85*q. Does 32 divide c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190760?\nAnswer: 2, 5, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11651\/2 + -5842. Which is smaller: t or -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 2*p - p**4 - p**4 + 0*p**4 - p**4 + p**2 + (25 - 25 - 10*p**2)*(0*p + 0*p + p**2) in the form k*p**2 + a*p**3 + i*p**4 + s*p + f and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 108 = 111 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((5\/(-4))\/5). Let z(v) = 3*v - v + h + 2. Let t(u) = -u**2 - 2481*u - 14860. Let d be t(-6). Give z(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 43*c**3 + 76*c**2 + 76*c - 1. Give i(-1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 225 + -230. Let o be 0 - 3\/12 - 65\/60. Let a = -790\/9 + 88. What is the third biggest value in o, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-14) - (36\/14 - 2). Solve 0*m - 5*m + 5 = 0, d + 2*m - 6 = w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9477)\/(-36))\/(-13) + 19.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 373173 and 6360?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**20\/o))*o**22*o)\/((o*o**(-7))\/o)**(1\/61))**(-19) assuming o is positive.\nAnswer: o**(-48811\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 43*d + 408 = 0. Let l = -100 + d. Factor 0 + 1\/2*z**l + z.\nAnswer: z*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 16*t + 13*t - 30*t. Let p(d) = -175*d**2. Calculate m(p(q)).\nAnswer: 175*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 14*o**2 + 29*o + 3. Determine w(-12).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246216 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/5)*c)**(2\/11))**(-2\/5) assuming c is positive.\nAnswer: c**(-4\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100479 rounded to 5 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -36, -8, 4, 0 in decreasing order.\nAnswer: 4, 0, -8, -13, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*f - 1, 3*c - 194 = -4*f. What is the units digit of 1\/(-6) - (-5027)\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171891 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16910724 is divided by 147.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - 4b2?\nAnswer: -4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n + 2*d - 6, -5 = 5*n - 3*d. Let t(z) = -2*z**2 + 2*z. Determine t(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*k + 4402, -7322 = -5*x - 732*k + 735*k. What is the remainder when x is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 9, x: 3, a: 2}. Give prob of sequence gg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -46. Let q = -0.3 + 0.5. Let o = 0.8 - -0.2. What is the nearest to a in -0.1, o, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10844878 by -9214.\nAnswer: -1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6607 - 6551. Calculate the remainder when p is divided by (168\/(-7))\/(-1 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-9 + (9 - -4) + 1 + -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5 + 42*l**4 - 608*l**3 + 2882*l**2 + 6897*l - 69212 = 0 for l.\nAnswer: -4, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) 1\/6 (c) 62\/9 (d) -0.2 (e) 1011 (f) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148176046 and 1258?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1103\/3 + -369. Which is the third smallest value? (a) u (b) -3\/5 (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 12*b + 14. Let q be u(-14). Suppose -4*s + 880 = 16*s. Let v = s - q. Solve 2 + v = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 688*g**5 + 30572*g**4 + 516*g**2 - 8639*g - 9.\nAnswer: 41280*g**2 + 733728*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/12 - 8*g**3\/3 + 33*g**2\/2 + 9*g. Let z be v(14). Solve -x - 4*w - 3 = 0, -2*x + z*w + 7 = -13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/((-3)\/4). Let l(w) = w**3 - 1 - 9*w + 5 - 2*w**3 + 9*w**2. Let q be l(8). Sort d, q, -3 in ascending order.\nAnswer: q, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 3 + (14 - 4) + -3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -18*(-1)\/((-2)\/(-3)). Find the common denominator of (450\/(-81) - 5)*3\/2 and (-2)\/9 - (-42)\/h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2\/4*1. Let k be ((-444)\/(-370))\/(2\/5). Which is the biggest value? (a) k (b) x (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/2 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**3\/3 + 3*o**2\/2 - 3*o + 8. Suppose 4*s + s - 10 = 0. What is v(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130415470 + 130448509.0066. Let t = n + -32995. Let z = t + -44. Round z to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) - 56\/(-21). Suppose x*u - 188 + 4 = 0. Suppose 0 = -2*w + 2*d + u, -2*w - w + 4*d + 134 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 46 = -6. Let c = 34 - 14. Solve -6*x + z = -c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 37*o + 5468. Determine i(-148).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1539)*3)**2 + sqrt(1539) - sqrt(1539) - sqrt(1539).\nAnswer: -279*sqrt(19) + 13876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 710, 711, 712?\n\"Answer: x + 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 22\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 163313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -176533\/4, -1, -0.3, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - k - 2*k - 1027 = 0, -5*i - 5*k = -1035. Suppose -i - 586 = -4*m. Calculate the greatest common divisor of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {n: 9, m: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, l: 2, m: 1, a: 4, c: 1, p: 2}. What is prob of sequence pm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 20\/(-5) + -7 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:38 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i**2 + 2. Let d be m(2). Let k = d + 3. Suppose k*o - 188 - 17 = 0. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1968\/5 smaller than -395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 29*h**2 + 377*h + 1122. Is 4 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 3*k - 6 = 3*y, 7 = 4*y - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 3\/2*-2. Let f be (-5)\/((-60)\/y)*3. Find the first derivative of 0*t**3 - 3 + f + 7*t**3 wrt t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2958702.\nAnswer: 2, 3, 31, 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -20, 3, 5, -75.\nAnswer: -75, -20, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90649377 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 14*y**2 + 3*y - 8. Let z = -22 + 36. Let d be i(z). Let a = d + -32. Solve 0 = a*c + 2*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 27792?\nAnswer: 639216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245067\/40 + 6127. What is the common denominator of g and (-2 - (-71)\/35)\/((-22)\/22220*8)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -23*o**2. Let p(q) = -86*q. Determine p(n(f)).\nAnswer: 1978*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 78450*g\/11 + 71300\/11.\nAnswer: 2*(g + 3565)*(11*g + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 123533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14291059 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 19*x = 156. Let b = 11 + -5. Let u be (x\/b)\/(5\/(-15)). What is the greatest common divisor of 143 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592982311.\nAnswer: 592982311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/116 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = 2*s. What is the remainder when 3 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2723893 rounded to 4 decimal places?\nAnswer: 0.2724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5268 and 246718.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68158055549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -97*d**4 + 6*d**2 + 55. Let z(g) = 97*g**4 - 5*g**2 - 54. Let l(s) = 5*u(s) + 6*z(s). Differentiate l(c) wrt c.\nAnswer: 388*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 37 - (28 - 51)) + (16 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31681716 is divided by 6336334?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/15 and 14\/1762455.\nAnswer: 1762455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 2*t**2 - 9*t - 1. Let l be x(3). Suppose -12*c + l*c - 20 = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3)*3 - 5316\/(-3101). Let x = -0.11 + 0.61. What is the nearest to 0 in -0.051, -0.2, x, w?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 41*g - 288 + 48 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctd. What is prob of sequence dt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -29. Suppose -5*f = m*f. Solve f*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + 54 + 34 + 59.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 - 183\/12. Let f(u) = -u**3 - 16*u**2 - 18*u + 36. Let a be f(l). Suppose -5*t - a = -321. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.223584 days to hours.\nAnswer: 53.366016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25\/8 of a millisecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444 + 869 - 36*q**3 - 425.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4602?\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (108*j + 119*j - 275*j)*(7*j - 2*j - j) in the form m*j + g*j**2 + u and give g.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/3 + 1756*t\/3 - 29632 = 0?\nAnswer: -926, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2436805 is divided by 152300.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**3 + 7*l**2 + 3. Let i(s) = 8*s**3 - 8*s**2 - 4. Determine -6*i(n) - 7*t(n).\nAnswer: n**3 - n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 45*k + 11. Let z be p(14). Let q = z + 911. What is the greatest common divisor of 32 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*f - 14. Suppose 0 = 3*u + u + 3*r - 16, 0 = f*r + 12. Suppose -u*h = -9*h + 314. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 - (4 - (-73964)\/(-16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.151146174 + -2.300293236. Let u = a - -29.53244. Let p = 0.081 - u. Round p to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 761819\/24 + -31747. What is the common denominator of 1\/33 and l?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796 a factor of 256293031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 3\/7, -10.186?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 86291 divided by 5\nAnswer: 86291\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5187284 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -96 - 89.38\nAnswer: -185.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((1520\/12)\/(-10))*(-28)\/(-14).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2 = 0, -u + 2*z + 12 = 5*z for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -23*g - 550. What is z(-23)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x - 2*x = 13*x - 294 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 (base 11) in base 2?\nAnswer: -11010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 21041*o + 4016*o + 2 - 41864*o.\nAnswer: -58889*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 4 + 4 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 193\/15 - 61\/5. Suppose 1 - m*k - 1\/3*k**2 = 0. Calculate k.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/12 + g**3\/6 - g**2\/2 + 69*g - 2. Give a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 1418, 3188, 5666?\nAnswer: 8852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225 (base 6) in base 14?\nAnswer: 17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from nnttnnnndnttttntttnn?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11530590 divided by 30?\nAnswer: -384353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23390 is divided by 71?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8 = 42*o - 38*o, 0 = 2*o + 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Let g = 80 - 73. Differentiate -9*t**4 - 3 + g + i with respect to t.\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from {o: 9, m: 11}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 13, -3, -2, -6, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 = 5, 4 = 3*x + 4*t. Let m(n) be the second derivative of 5*n**3\/2 + 19*n**2\/2 - 2*n. Is m(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 - 809 - (-3 - -1 - -18)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4 = -2*n, -5*k - 6*n + 2*n + 8 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 6*v + 2. Let s be o(-6). Suppose -5*f = -4 - 6. Find the second derivative of f*l**2 + l**s - 3*l + 5*l wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -10*p - 7 - p - 8*p + 5*p - p**3 + 11*p**2. Let t be a(7). Suppose -t = -2*m + 29. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-20 - (-35 - -12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7618889*l**2 + 7618889*l**2 + 6*l**3 + l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7088\/(-200) + 35)\/(18\/60)*1\/(-2).\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540756793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 16*f + 4. Let o be z(16). Suppose -3*j + 4*m + 149 = 0, 3*j - 5*m = -o*m + 134. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 84 - 34 = 0. Let v = -25 + q. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-8)\/3)\/(-4))\/((-8)\/(-36)). Suppose -1 = k*r + 5*g, -3*g - 2 = 2*r + g. Calculate the remainder when 5 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1326801 divided by 442267.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let k(m) = 2*m**2 - 4640*m + 2. Calculate h(k(p)).\nAnswer: 2*p**2 - 4640*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:44 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (53\/(583\/(-1188)))\/(0 - 2). What is the highest common factor of 132 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + 2*q**2 - 6. Let t(f) = f**3 + f**2 - 2. Suppose -73*c = -74*c + 4*s - 3, 3 = -3*s. Give c*t(v) + 2*m(v).\nAnswer: -v**3 - 3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 2*u - 6*u + 3*u + 4*u + 1. Let t(d) = 4*d**3 + 4*d**2 + 8*d - 9. Let l(s) = -28*c(s) - 4*t(s). Solve l(m) = 0 for m.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 6*o**4 - o**4 + (-3*o**3 + 0*o**3 + o**3)*(-19 + 19 - 11*o).\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.2, -0.1, 66\/49?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.542 - 8.542. Which is the nearest to 0? (a) -5 (b) z (c) 1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiooyswoyyy. Give prob of sequence yyyo.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v - 55*v + 880 = 0. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*l - 4*p, 0 = 4*l - l + 3*p - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 19*f**2 - 28*f - 72. Determine g(17).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 99 + (-99 + -40 - -110).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 79, 100, 121?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -623 divided by 13246?\nAnswer: -623\/13246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 28*u + 399. Determine p(-8).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 712, 1427, 2142?\nAnswer: 2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 10. Suppose -2*o + 2*v + 54 = 0, 2*o - 3*v = 35 + 15. Solve -5*s + o - 6 = i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3 + 3\/(-9))\/(2444\/(-54990))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 7*z - 2. Suppose -5*p = 3*c - 30, 18 = 3*p + 2*c - 6*c. Calculate the remainder when h(-9) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 + 4*l**2 + 12*l**2 - 11*l**2.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170138644 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100000110110100110 - 1111?\nAnswer: 101100000110110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400061655 to the power of 1\/4, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131 + -10035354?\nAnswer: -10035223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 11.4\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n**2 + n + 2. Let j(v) = v**2 - 23*v - 142. Let k be j(-5). Calculate p(k).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kke when three letters picked without replacement from {e: 13, k: 5}.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 654 + 654.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15109, -30158, -45219, -60298, -75401?\n\"Answer: -m**3 - 15042*m - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2 - h - 9. Let u(b) = b**2 - 2. Give -2*n(p) + 11*u(p).\nAnswer: -p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.2 (c) 111993 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, s: 10}. What is prob of sequence wss?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 4 = 8*p. Which is greater: p or -7\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-1\/11))\/y)\/y**(-3)*(y**(1\/3)\/y)\/(y\/(y*y\/(y**(-1\/4)*y)*y*y*y)*y))**37)**(-39) assuming y is positive.\nAnswer: y**(-296777\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 13 - -6)*9\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + w - 1)*(29*w - 79*w + 22*w) - 60*w - 50*w - w**2 + 111*w.\nAnswer: -29*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -20*z + 110 - 54 - 53. Let u(j) = 7*j - 1. Determine -6*s(b) - 17*u(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1958 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 6*g - 4. Suppose 2*q - 50 = -3*q. Let b = q + -15. Calculate s(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 1 = 73*q. Let s(t) = t**3 + 5*t**2 - t - 3. Let c be s(-5). Put c, -5, q in descending order.\nAnswer: c, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 greater than or equal to 205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -4) + (-3)\/(-3). What is the second derivative of q*f**5 - 2*f - 6*f**5 + 0*f wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 98 + 3*v - 193)*(-9 + 2*v**2 + 9) in the form h*v**2 + d*v + q + k*v**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -29180938.\nAnswer: -87542814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10290)\/(-1372)*(-36)\/5*2\/(-30).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 9*c = 13, 829*c + 54 = -3*l + 833*c for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = -5*q + 3*n, 6 = 2*n. Suppose -4*a + 3*j - 4 = 0, -a - 2*j = j + q. Let x = -2 - -1. Is x equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-9)\/24 - 9\/(-108). What is the second biggest value in 0.06, g, -4, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/3 - 301*h**2\/6 + 2552*h\/3 - 1162 = 0.\nAnswer: -166, 3\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 2}. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062355 to six decimal places.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1)*6.\nAnswer: 6 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 14 - (-1 + 4) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 15 - 38 = 4*b, -2*x = -28*b - 9*b - 207 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735 and 470892940.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 2*c)*(0 - 33*c + 2 + 42*c).\nAnswer: -18*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9430 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -380, -424, -472, -524, -580, -640?\n\"Answer: -2*t**2 - 38*t - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 42 = 13. Let x(j) = j. Let m(n) = n. Let k(u) = m(u) - 4*x(u). What is the least common multiple of c and k(-3)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51, -148, -327, -600, -979, -1476, -2103?\n\"Answer: -2*z**3 - 29*z**2 + 4*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/5, -5\/14, 0.3, -2\/15?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, c: 2, l: 2, x: 2, f: 4, q: 6}. Give prob of sequence cfcf.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1290*z**2 - 1290*z**2 - 15 - z**3 wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*a + 8 = -2*t, 3*t - 3*a = 9. Suppose 0 = -t*z + 5*v + 56, z + 0*z + 5*v + 2 = 0. Calculate the greatest common divisor of z and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + sqrt(200)*-1*-5 + -3*(-1 + -1 + sqrt(2)))*3*6)**2.\nAnswer: 221616*sqrt(2) + 2117016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l - 5*l - 11*l)*(4*l - 4*l + 2*l) + (-2 + 1 + 0)*(-4*l**2 + 3*l**2 + 0*l**2) as b*l**2 + a + p*l and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 317069169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28214.6 times 68\nAnswer: 1918592.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 16*v - 37. Let h be p(-18). Let t(s) = 12*s**2 + 1776 - 1776 - s. Give t(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*y = -9, y = v + 3*y - 9. Suppose v*k = 4*k - 11. Calculate the remainder when 21 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 w when four letters picked without replacement from {w: 2, g: 17}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -363*d**3 - 147*d**2 + 651186 with respect to d.\nAnswer: -1089*d**2 - 294*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 107*p + 1369 - 294 + 187 - 669*p wrt p?\nAnswer: -562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6294 is divided by 1619.\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**2\/3 + 187010*i\/3 - 186995 = 0.\nAnswer: 3, 37399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30918825?\nAnswer: 3, 5, 7, 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(117) - ((sqrt(637)*3)**2 - sqrt(637)).\nAnswer: -5733 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -h, 4*h + h - 2*a + 10 = 0. Suppose -t = -c + 11 - 1, 5*t - 2*c + 50 = h. Let w = 17 - t. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11397871.4 to the nearest 100000.\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - a = -7, 5*a = 42*l - 37*l + 20. Let s(p) = -p**3 - 3*p**2 - 3*p + 3. Determine s(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 40 + 28 = 0, -3*g + 9 = -4*h. Let c(m) = -m**3. Let o(j) = 17*j**3 + j. Let l(n) = -4*c(n) - o(n). Determine l(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 322330?\nAnswer: 322333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2153840 - 31072.\nAnswer: 2122768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - v**2. Let g(i) = 3*i**3 - 2*i**2 - i - 1. Let z(a) = 4*g(a) - 5*o(a). What is the units digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 670 and 14606?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erqbbzbbbqqhrbrqq. What is prob of picking 1 b and 1 h?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 70474 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 4 + 229*g**2 - 8.\nAnswer: 229*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10600437469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6247\/10920 + -1\/1560. What is the closest to -3 in -2, s, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 1151*x**2 - 1150*x**2 - 11 - 3*x. Give j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/60 and 111\/70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4834? (a) -0.1 (b) 2 (c) 2335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*p - 47. Let k be (4 - -2)*p\/36. What is the nearest to 1 in -5, k, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d**2*r**2 - 5*d**2*r - 312*d**2 - 2*r**2 wrt r.\nAnswer: 14*d**2*r - 5*d**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -937038 (base 12) to base 14\nAnswer: -443340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/1488 (b) 0.1 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 less than 470.3512493?\nAnswer: 888.3512493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.26 - 2.76. Let v = u - -2.8. What is the smallest value in v, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/3 - -5)\/(-7 + -2). Let a = 3 + -1. Put a, t, 5 in descending order.\nAnswer: 5, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26\/9, -4, -7, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 121.2221081316 and 0.067.\nAnswer: 121.2891081316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c317 (base 14) in base 15?\nAnswer: -2e140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9761819?\nAnswer: 191, 51109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {e: 3, x: 6, i: 1, j: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4 + 1086*x**3 + 126096*x**2 + 4600146*x - 14964867 = 0. Calculate x.\nAnswer: -163, -101, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -2. Let p be (33\/v)\/((-6)\/4). Suppose -5*c - 25 = -l, 6 - p = -5*c. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 8, -4, 1\/4, 139, 2\/7, 73 in decreasing order.\nAnswer: 139, 73, 8, 2\/7, 1\/4, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 - 1886 = -31*m. Suppose 0 = 73*g - 64*g - 15264. Calculate the greatest common divisor of m and g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-181*o - 842*o + 133*o)*(-9*o + 18*o - 3 + 2).\nAnswer: -8010*o**2 + 890*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 686 and 19901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*h - 43*h - 3104 = 0. What is the remainder when 227 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 5*l - 3. Let n be h(6). Let x be 0 + 3 - 0\/11. Calculate the highest common factor of n and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 4 = 4. Suppose c + 381 - 1660 = u. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -237. Suppose 2*h - h = 5*x - 80, 5*x = 5*h + k. Calculate the remainder when 45 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by 14.\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8\/13, 3\/19, 0.03, -2, -4 in increasing order.\nAnswer: -4, -2, -8\/13, 0.03, 3\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x - 1. Let p be s(-1). Let q(y) = y**3 + y**2 - 1. Let d(b) = 15*b**3 + 12*b**2 - 12. Calculate p*q(t) + d(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Let v(m) = m**3 - 6*m**2 + 10*m + 7. Let h be v(8). Suppose h = f*r + r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.265712 weeks in nanoseconds?\nAnswer: 765502617600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -547 - -586. Suppose 11*m - 5 - x = 0. Let l be (-2)\/3*(-2 + -1). Solve -m*t + 5*u - 22 = 0, -l*t - 7 = u - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7*(-153)\/42*4.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26742002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -29*h**2 + 168*h + 307. Let o(u) = 18*u**2 - 84*u - 153. Let x(j) = 5*o(j) + 3*q(j). Determine a, given that x(a) = 0.\nAnswer: -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r + 2*d - 5 = 36*r, -4*r + 4*d + 32 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206694*q - 936*q**2 - 206694*q to z + k*q**2 + h*q and give k.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 222537563777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -106. Let z = h - 449\/6. Which is smaller: z or 1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13240?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38829047.657 + 0.4?\nAnswer: -38829047.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1107612 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 12*r - 27)*((-4 + 4 + r)*(6*r - 4*r - 4*r) + r**2 - 5*r**2 + 2*r**2 + r**2 - 3*r**2 + 0*r**2 + (r + 0*r - 3*r)*(-14 - 5*r + 14)).\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000 - 1100?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2. Let s be (-5 + 6)\/(2\/4). Let p(b) = -4*b**2 + 2*b**2 + 0*b**s. Determine l(p(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**7\/2520 - x**4\/12 - 3*x. Let w(p) be the third derivative of s(p). Let m(y) = -3*y + 5*y + y. Determine m(w(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36271 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z = 4*w - 2, 0 = -3*z - 2*w + 6. Let s be 3\/(-6) + z + -1. Let r = -25 + 24. What is the closest to r in s, 5, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17639945 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2067*p**3 - 56*p**2. Let z(k) = -16537*k**3 - 449*k**2 + 2. Let t(m) = 17*a(m) - 2*z(m). What is the third derivative of t(f) wrt f?\nAnswer: -12390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.776, 0.1029, -2\/5, 0.5, 0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let s(x) = -2*x**2 - 26*x + 4. Let l be s(-11). Suppose l = t*d + d. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-35) + (-299)\/966. Put g, -8, -0.11 in decreasing order.\nAnswer: -0.11, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005279 to seven decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - o)*(-4*o + 7*o + 2*o + (4 - 1 - 1)*(1 - 2*o - 1) - 2*o + 3*o + o - 2*o + 2*o - o + 0 + 0 + 3*o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96999 + 273392. Let o = -434609 - g. Round o to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1043 - -3?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000110677 rounded to seven decimal places?\nAnswer: 0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (59987 - 59999) + (1 + 0 - (20 - 0))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) -3 (c) -9\/7 (d) -3\/2 (e) -2\/9 (f) 29\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = -206. Suppose 0 = 2*y - t + 6. Suppose -2*w - 3*w = -y. Solve w = -4*v, -20 = 4*c + c + 3*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8010, 64017, 216036, 512073, 1000134, 1728225, 2744352?\nAnswer: 4096521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u - 3*u + 2*u)*(-3*u + 4*u - 5*u) - 5*u**2 + 0*u**2 - 16*u**2 + 21 - 21 + 9*u**2 in the form i*u + r*u**2 + x and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 14. What is o(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48070*t + 0 + 0 + 35440*t.\nAnswer: 83510*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 8*p**2 - 13*p + 6. Let x be t(6). Factor -y**2 + x*y - 1\/2*y**3 + 0 + 1\/2*y**4.\nAnswer: y**2*(y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-75)\/(-875))\/(3\/10). Determine k so that 0 + t*k**2 - 2\/7*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (437\/(-1311))\/(1\/2)*105.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 t, and 1 h when four letters picked without replacement from hsttsh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -788*y**3 + 21135*y**2 + 883864544*y.\nAnswer: -4728*y + 42270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 64245*w - 385466. Determine t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-3) - (-14)\/(-56)*16. Let n = 165\/1384 + 1\/173. Factor 0*k + w + n*k**2.\nAnswer: k**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 v when four letters picked without replacement from vvvpupupupupu.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (360\/(-672)*12\/(-5))\/((-3)\/(-63)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/8633 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2134542.\nAnswer: 2, 3, 41, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*d + 2. Solve -4*t = -2 - d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 12*l - 13. Give s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8179 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, e: 3, y: 1, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 153. Calculate the remainder when t is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**3*m*r**2 - g**3*m*z + 119527*g**3*z - g**2*m*r**2*z - g**2*m*z - 3*g**2*m + 2*m*r**2 + 22031*m*r + 6*r**2*z wrt g.\nAnswer: -42*m*r**2 - 6*m*z + 717162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + d + 63)*(-5*d + 2 - 2 + (-5 + 4 - 3 + 2*d)*(1 - 1 - 3)).\nAnswer: -11*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92159 - 17510843\/190. Let h = i + -64\/19. Calculate the common denominator of (-6)\/(-10) - (-6 + (-2188)\/120) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 44, 34, 22, 8, -8, -26?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415960 is divided by 415666.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llvv when four letters picked without replacement from {v: 11, l: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, k: 2, s: 2}. Give prob of sequence ksk.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*p + 99*p + 59*p - p - 1 + 1 + (6 - 2 - 3)*(2*p + 5*p - 5*p) in the form m*p + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 7*m**6\/120 + m**4\/4 + 3*m**2 - 6. Let y(o) be the second derivative of g(o). What is the second derivative of y(n) wrt n?\nAnswer: 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46\/(-8) + 2\/(-8). Let t be (-1432)\/z*(-48)\/4. Let o = t + -79136. Round o to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5883\/3339 - 14\/6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -16, 10, 70, 176, 340, 574, 890?\n\"Answer: 2*k**3 - k**2 - 7*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 476\/83 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 3. Let q be n(-8). Let u = q - -35. What is the least common multiple of u and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -120*y + 3. Let v be p(7). Calculate the common denominator of 49\/12 and v\/60 - (-2)\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8580\/200)\/33*((-6)\/(-1))\/3.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 + 124. Which is the second biggest value? (a) 0.5 (b) -2 (c) n (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c + 5*x - 120, -c - 5*x = -45. Let u(h) = 8*h + 16. Let j = -38 + 45. Calculate the remainder when u(j) is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17903127.\nAnswer: 3, 11, 542519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 500*s - 132\/5*s**2 + 152\/5 = 0.\nAnswer: -2\/33, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 6*j**2 + 5*j + 6. Let z be i(-7). Suppose -2*n - k = k - 18, -2*n + z = k. Calculate the lowest common multiple of n and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 2185980?\nAnswer: 2185980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 10:03 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -k - 2*k + 26, 0 = 2*k - 4. Suppose 0 = 2*o + b - 10, p = -b + 3*b. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456140 divided by -1?\nAnswer: -456140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 452544630 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, -83, -0.3, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let v(t) = 3*t + 2. Determine c(v(j)).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 80 = -3*z. Let b be 4\/6*30\/4. Suppose -w - b = 0, 206 = 4*n - 5*w + 25. What is the remainder when n is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48 + -1997?\nAnswer: -194b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - -3. Suppose l - 8 = 5*f, 2*l - 50 - h = -4*f. Let o = -15 + l. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1) - 5)\/((-1)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 1264 + 4155 = 0. Is -423 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*p - 15. Let i be (p\/10)\/((-11)\/55). Let f(c) = -4 + 2 + i - 4*c. Let a(o) = o**2. Give f(a(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 554123 - -68108284\nAnswer: 68662407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + 0.1. Let z = x - 1.5. Which is the third biggest value? (a) z (b) -2\/15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -339*j**5 - 155*j**5 + 207*j**5 + (2*j**3 - 2*j**3 - 2*j**3)*(2*j**2 + 2*j**2 - 2*j**2).\nAnswer: -291*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -14*a**2. Let q(d) = -41*d + 29*d + 14*d. Give q(r(s)).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2846229, 5692325, 8538421, 11384517, 14230613?\nAnswer: 17076709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 0 - (16475 + -16345)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 166, -2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:41 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 + -9419?\nAnswer: -9443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -42062.\nAnswer: 13\/42062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 234?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*p*y**4 - 4*p*y**3 + 10*p - 2*y**4 - 34*y**2 wrt y?\nAnswer: -1608*p*y - 24*p - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*z + 4, 3*z + 0*b = b + 1. Suppose 4*t = -z*t + 40. What is the third derivative of 1 + 5 - 6 + 6*o**5 - t*o**2 wrt o?\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -0.21?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -10.903 and 28\/709 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000159 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 45.\nAnswer: 19\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0 + 0*a**2 + 5*a + 7\/6*a**4 - 4\/3*a**3. Let n(k) = 5*k**2 - 3*k. What is -8*n(t) + 3*v(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39690 and 177030.\nAnswer: 11152890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/55155 and 41\/73540?\nAnswer: 220620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 + 2\/5*q**2 - 72*q = 0. Calculate q.\nAnswer: 5, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)\/x**(-1\/3)*(x\/(x\/(x*x\/x**(-1\/2))))\/x*x*x**(-2) assuming x is positive.\nAnswer: x**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-750)\/(-100))\/(-15)*(-2)\/14)\/(7\/70).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -517 + 519. What is the third derivative of -5 + 17*w**3 - 15*w**2 - 596*w**4 + g - 2*w**3 + 594*w**4 wrt w?\nAnswer: -48*w + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1980 and 2475.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5701 divided by 5?\nAnswer: -5701\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2346872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2. Let g(s) be the third derivative of -445*s**4\/24 + s**3\/3 + 17*s**2 + 6*s. What is g(u(v))?\nAnswer: 890*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = 3*i, 5*i + 2*s - 4*s + 6 = 0. Suppose i = 55*l - 40*l + 4074000. What is l rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 13*m**2 + 16*m + 19. Let o be c(-14). Let l be (10\/2)\/(o\/(-27)). Solve -4*v + 5 = -l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b + 76*b - 118503 = 0. What is the remainder when b is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 0*c + 2\/9*c**3 + 27\/2*c**2 + 1\/36*c**5 - 1\/6*c**4 - 44. Let j(x) be the second derivative of y(x). Factor j(u).\nAnswer: (u - 2)*(5*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - 0.02. Is o less than or equal to 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 2*d**2. Let y(m) = 10*m**3 - 9*m**2 + 1. What is -5*g(f) - y(f)?\nAnswer: -5*f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3611 divided by -228.\nAnswer: -3611\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**50*(t**(-1\/2))**(-1\/3) assuming t is positive.\nAnswer: t**(-299\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -878.7 - -820. Let h = t + 58.9. Which is the smallest value? (a) h (b) -1 (c) 0.3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.1 + 41.9. Let u = q + -66.98. Let w = -6 - -3. Which is the second biggest value? (a) u (b) w (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14418*h**2*p**3*w + h**2*p**2 - 3*h**2*p*w + 7*h**2 + 6*p*w + 4 wrt p?\nAnswer: -86508*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 8\/6*21\/(-14). Let d(f) = -f**2 + 0*f**2 - 8*f + 3*f**2 - 3*f**2 - 10. Calculate d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 59 + -1 + 6*1\/2. Let f = 28 + n. Let p = 1 + f. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.1789 micrograms in milligrams?\nAnswer: 0.0751789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379589 is divided by 27589.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 12864460?\nAnswer: 38593380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 290083875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 9*l**2 + 13*l - 25. Give a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*y + 2*z + 32, -5*y = 5*z + 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.021 to 0 dps.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 6. Let w be v(-6). Does 14 divide (56\/6)\/((-2)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**3*v\/v**2 assuming v is positive.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o**2 + 32*o + 816. Let u(x) = 5*x**2 - 14*x - 357. Let s(g) = -7*r(g) - 16*u(g). Let v(i) = -843*i**2 + 2. Calculate v(s(a)).\nAnswer: -13488*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142470 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29606009, -29605993, -29605977?\nAnswer: -29605961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 + 68.48. Let y = 47.58 - s. Let t = 100.7 - y. What is t rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6399.098 tonnes to nanograms.\nAnswer: 6399098000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105998059.\nAnswer: 105998059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -310 != -305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/155 and 1\/341?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1 - 5*n + 8*n - 2. List the prime factors of p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 15?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81 or 295351?\nAnswer: 295351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let k(g) = -g + 7. Let u be k(6). Let t = 0.2 - 0.6. Which is the nearest to u? (a) t (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 7*z**2 - 5*z + 6. Let m be ((-4)\/2)\/((-2)\/10). Suppose 29 = -2*y - 3*y + u, 4*u = -y - m. Let j be d(y). Solve 4*l + 8 = -j*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 16*f**2 - f + 8. What is the tens digit of i(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {g: 4, j: 1, u: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -8, -16, -36, -74, -136, -228?\n\"Answer: -a**3 + 3*a**2 - 4*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 10*y - 12*y - 2*y**3 - y**3.\nAnswer: -2*y**3 - 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Suppose -4*s = -14*s + 10. Sort s, -2, u.\nAnswer: -2, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 1:20 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, -1, -0.5, -3, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 342, 766, 1360, 2124, 3058?\nAnswer: 4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 3865 + 3695 = 0. Let c(w) = 21*w**2 + 3*w - 1. Let h be c(2). Let r = 129 - h. Calculate the highest common factor of n and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123\/7 + 53\/3. Let v = -11 + 10. Which is greater: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10919805 divided by 75309?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2466*x**2 - 7379*x**2 + 2453*x**2 + 2461*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + -1*sqrt(75) + -4 - (-1 + (sqrt(27) - (sqrt(81)\/sqrt(3) + sqrt(27))) - (sqrt(972) + -1 + sqrt(972) - sqrt(27)))))**2.\nAnswer: 124*sqrt(3) + 2887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 161*t - 19*t + 21*t = 0. Solve t = 13*u - 16 - 62 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30930 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.42*1.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1300)*2)**2*4 + (sqrt(156) + -1*sqrt(156)*3 - sqrt(156) - sqrt(156))\/(sqrt(84)\/sqrt(63)).\nAnswer: -41600 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 0\/2 - -3. Suppose -2*z + 16 = v, -z + 0*v - j = -4*v. What is the remainder when 17 is divided by 6 - z\/((-21)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 11 - (4 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 2*v + 2*y + 2, 3*v + 2*y = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -12*z + 7. What is c(7)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (38 + -16)) + 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229*m**3 - 229*m**3 - 10*m**4)*(0 + 0 + 2).\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -4168, 65, 0.5, 29, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -111101.5509 to the nearest one hundred.\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s**2 - 36*s + 36. Let j(k) = -k + 1. What is -c(p) + 36*j(p)?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 1597.\nAnswer: -9582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 u when three letters picked without replacement from {u: 2, e: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 18*f + 10 = 0. Let t = -1 - -1. Which is the nearest to t? (a) f (b) -4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 6:55 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*c - 8*c. Suppose c*p - 5*p = 5*p. Suppose -5*o + 2*y + 12 = p, -2*y - 8 = -2*o - o. Solve -o*n + 10 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -37*b + 100. Let d be k(3). Suppose -4*p - 24 = -4*w, 3*w + 0*p - 15 = 2*p. List the prime factors of (w + -13)\/(1\/d).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 47. Put h, -2\/17, 3 in decreasing order.\nAnswer: h, 3, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15868115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4703 is divided by 1624?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {j: 8, q: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 6*b**2 - 2*b - b**3 + 3*b - 2*b**2 to i*b**2 + w + g*b + j*b**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3120000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 23410350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429852.232 rounded to the nearest 1000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26075066 or 2\/3?\nAnswer: -26075066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2 - 6. Let u(f) = f. Let a be u(k). Suppose -2 = 2*s - 0*s. Is a at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660.670592 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 7. Let k = o - -18. Suppose -5*u - 2 = -3*a, k*u + 6 = 3*a + u. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 634*i + 276047 - 34*i - 276047 to the form j*i + s and give j.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -267\/133 or -1?\nAnswer: -267\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6806*t + 378420 = 1400*t for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(1 + 0 + 0) + 1 + 3 - 5)*(3*v - 4*v + 2*v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17352071*f - 34704101*f + 17352061*f - 1.\nAnswer: 31*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 69.5. What is f rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11806*x - 16402. What are the prime factors of n(7)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d - 8. Let k be w(-8). Let o = k + 61. What is the remainder when o is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 201657\nAnswer: 80662.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 1, r: 3, x: 1, l: 1}. What is prob of picking 1 g and 2 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 3*u. Let f be (-9)\/u - 18\/(-12). Which is the nearest to f? (a) 4 (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9694 divided by 899\nAnswer: -9694\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/2 - 15*j. Let g be 1\/3 - 39\/9. Let z(l) = -5*l**2. Suppose -2*u = -u - 5. What is g*f(x) + u*z(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -10*p. Suppose 48 = 2*u + f, p*f + 110 = 5*u + 5*f. What is the highest common divisor of u and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -165\/2. Which is bigger: 11 or w?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29480 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -788 - -1422. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -672 + 841. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 947. Let u be (-4)\/14 + (-56)\/y. What is the closest to 0 in -2\/13, 2, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 8 = -100. Find the first derivative of 6 - v*j**2 - 9 + 3*j**2 wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/48)\/((-2)\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 254869 + -124?\nAnswer: 254745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1377, 4, -2, -1, 2 in ascending order.\nAnswer: -2, -1, 1, 2, 4, 1377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 + 51 = r + 4*l, r + 2*l + 29 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 4*m**2 - 4*m**2 - 2 - 2.\nAnswer: 4*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813000 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/25, -2\/3, -280, -1\/6 in descending order.\nAnswer: 0.5, -2\/25, -1\/6, -2\/3, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a - -37cd8?\nAnswer: 37d32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 5127090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -4. Let j = -3 + m. Which is smaller: j or -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {k: 4, h: 2, j: 3, n: 1, r: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4879, 15013, 48167, 94583, 154261, 227201?\n\"Answer: 6631*z**2 - z - 11509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7591706 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**2 + 1304 - 1304.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**2 + 1040*b - 1044 = 0. Calculate b.\nAnswer: -261, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*y - 5 + 14 = 0, 4*z = -2*y + 10. Suppose -c = -8 + z. Suppose -h - 2*f - 20 = 3*h, -f + c = -h. Put 3, 4, h in increasing order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 294.698 to the nearest integer.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 478, 470, 456, 436, 410, 378, 340?\n\"Answer: -3*j**2 + j + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psdl when four letters picked without replacement from pllksusd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -186\/35*x**7 - 33*x**2 - 67\/5*x**5 - 8*x**4 + 0 + 0*x - 71\/6*x**6 - 27\/28*x**8 - 8\/3*x**3. Factor c(l).\nAnswer: -4*(l + 1)**3*(9*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**6\/120 - 17*c**5\/60 + c**4\/6 + 65*c**3\/6 - 2558*c**2. What is h(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 23*q**2 + 3*q + 7. Let m(j) = -76*j**2 - 10*j - 22. Let p(f) = -13*i(f) - 4*m(f). Let v be p(2). Solve -2*n + v = 5*d, -6 = 2*n - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4242.1 - 4242. Which is the nearest to q? (a) -6\/35 (b) 1\/9 (c) 2\/3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 3, z: 4, o: 5, q: 4}. What is prob of picking 1 s and 1 q?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453300.\nAnswer: 2, 3, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16316389 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -41\/4 (b) 3 (c) 105 (d) -5.6 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -4. Let c(j) = -6*j - 228. Let i be c(-38). Suppose -2*u + i*v - v + 2 = 0, -2*u - b*v = 4. Solve 0 = -x + p - 3, 5*p + u = -3*x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*x + 10 - 42*x - 36*x - x**2 - 32*x to s + w*x**2 + y*x and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - p - 17, -2*p = -3*j + 3*p + 43. Suppose j = y + y. Calculate the highest common divisor of 27 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - -0.29. Let h = -5.1414 - -0.1414. Let s(b) = b**2 - 4*b. Let u be s(5). What is the third smallest value in h, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 greater than 1866\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.02, 0, 0.06584, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14412 is divided by 377?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 1, k: 1, b: 5, a: 1}. What is prob of sequence ea?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 654423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*y + 8, 3*y + 0*b - 14 = -4*b. Solve -5*j - y*w + 33 = 0, 2*j - j + 3*w - 17 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to 743\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 17*o**2 + 154*o + 853. What is p(-15)?\nAnswer: 2368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 - 2*c**2 + 1)*(-7*c - 7 + 8*c + c).\nAnswer: -4*c**3 + 14*c**2 + 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*n + 137 - 55 = 0. What is the fourth smallest value in 1\/2, -35, n, 1, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*u**3 + 2 + 1 - 2 - 244*u**3 - 242*u**3 - 3.\nAnswer: -26*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from qmqmqmqqmmqqmqqqqqqm?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121221211021021 - -10?\nAnswer: -1121221211021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 22*p**2 + 26*p - 48. Suppose v = -2*v + 72. Suppose v = y - 16. Calculate the remainder when y is divided by h(23).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 q when three letters picked without replacement from pqpqqpqppppq?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*c + 2*c**2 - 28*c - 31*c - 2 to the form k + f*c + t*c**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 14 = 2*k, 20825*k + 19 = -5*f + 20827*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5040.04 rounded to the nearest 100?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32021 or 32022?\nAnswer: 32022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 18907308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809 = 265*v - 80 + 3511 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + 4*q - 2. Calculate b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-12)*19\/(-133). Let n = 49\/12 + -7\/3. What is the nearest to n in 0.1, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7684 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 - 2*i**2 - i**2 + (-3*i + 2*i - 2*i)*(-2*i - 2*i + 3*i) + 4*i**2 - i**2 + i**2 to the form a + f*i**2 + x*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -3 - 4 - (11 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3 - 7. Solve -g = -0 - b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 117 + 23 = 4*v, 5*n + 175 = 5*v. Suppose v + 20 = 5*k. What is the remainder when k is divided by (1\/2)\/(2\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**4\/4 + u**3 + 9*u**2\/2 + 5*u + 63. Solve h(b) = 0 for b.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -822220*g*z**3 - 4054*g*z**2 - 3*g*z + 3*g + 2*z**3 wrt z?\nAnswer: -4933320*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69067680 to the power of 1\/2, to the nearest integer?\nAnswer: 8311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - -3*(1*sqrt(567) + sqrt(567)))**2.\nAnswer: 27783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*z + 7. Let w be 92\/28 - z\/(-28). Solve -2*c - c - w = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -8 + 4 + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + (-5)\/(-10). Let j be 6\/r + (-6)\/2. Suppose j*x + 2*l = -0*l - 4, 3*l = -4*x - 7. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(104)*-1)\/(sqrt(32)\/(sqrt(20)\/sqrt(5))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-1275)\/(-900))\/((-272)\/(-16)))\/(((-170)\/(-16))\/(-5))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 44, -88598, 16 in decreasing order.\nAnswer: 44, 16, 2, -88598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6745 and 1633.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2\/5 + 22*u\/5 - 12\/5.\nAnswer: -2*(u - 3)*(3*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 3, p: 3, q: 2, x: 3, z: 2}. What is prob of picking 2 s and 1 p?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -r - 2*r - s, -2*s = -6. Suppose 3*t + t - r = 0. What is the second derivative of -b - b + b**t + 0*b wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-150)\/4)\/(1\/(-2)). Let f = k + -77. Let m be (-3 - (-3 - -3)\/1) + f. Which is smaller: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than -21443496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -24*c**2 - 83*c - 6. Give y(-5).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4918449 divided by 1639483.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9. Suppose s = -2*w + 8, -w - s = 3*w - 16. Suppose -c = -4*c + w*c. Solve c = -i*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 + 1752*a**3 - 260994*a**2 + 1518984*a - 2255067 = 0 for a.\nAnswer: 3, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 134 = -48*k. Solve -3*p = 3*x + 3, -5*x = -k*p - 1 - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 86 - 74 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 16. Suppose j*f = 5*f - 2. What is the second smallest value in 2, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-804)\/(-16482) + 3204\/(-123)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 1.53?\nAnswer: -1.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -11870021.\nAnswer: -6\/11870021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*k - 964 - 14724 = 0 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/((x*x\/x**(-7\/2)*x)\/x))\/x)*x*x**1)**(2\/15)*((x**(-2)\/x)**41)**(-3\/13) assuming x is positive.\nAnswer: x**(5756\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + (sqrt(392) + 0 - sqrt(392))))**2 + ((sqrt(98) - (1 + sqrt(98))) + -4 - sqrt(22)\/((sqrt(11) + sqrt(176))*5))**2.\nAnswer: 2*sqrt(2)\/5 + 21252\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z + 47515 = 46089 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 4*z**2 - 114*z - 4*z**4 + 126*z + 8 - 9*z**3.\nAnswer: -4*(z - 1)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46771 or 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -102, -2, -1, 4, 1 in decreasing order.\nAnswer: 4, 3, 1, 0, -1, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 - 109980*g**3 - 990135*g**2 - 1980450*g = 0?\nAnswer: -6, -3, 0, 22005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461261, 461044, 460673, 460142, 459445, 458576, 457529?\nAnswer: 456298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 3*j + 83 = 4*l, -48*l - 3272 = -16*l - 16*l - 11*l - 157*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + c - 1 = 0, -121*y - 2*c + 2 = -119*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14460 and 16.59.\nAnswer: -239891.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2 + 24*t + 36 - 6*t**2 + 7*t**2 + 12 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/2, -2\/23, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**7\/735 - t**6\/120 - t**5\/105 - 145*t**2 + 70. Let o(c) be the second derivative of b(c). Let o(x) = 0. What is x?\nAnswer: -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -30. What is the greatest common divisor of a and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 6*h**2 + h - 2. Let n be y(6). Solve 5*f + 17 = -n*p, 4*p + 11 = -3*f + 4*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 498, 4, 2, 5.\nAnswer: -4, 2, 4, 5, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n + 10*n = 1539. Solve 14*w - n*w + 65 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = 5*u + 18*p - 24, 2*u - 2*p - 12 = 0. Calculate the lowest common multiple of 234 and u.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -261?\nAnswer: 2\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 15*i - 11. Suppose -s = 1 + 12. Find the common denominator of 19\/17 and g(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5824)\/(-8736)*(-2)\/6*(10\/4)\/(-1)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 11*q + 9. Let g be s(-11). Let n be 3\/(-2)*(-30)\/g. Suppose -2*o - h = o - 27, -n*h = -3*o + 27. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 991*c**2 + 748*c**2 - 791*c**2 + 5*c + (0*c + c - 3*c)*(-3*c + 5*c + c) - 2*c**2 + c**2 + 3*c**2.\nAnswer: 944*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83201473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/7 - 413855*q\/7.\nAnswer: q*(q - 413855)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**4\/12 - 2*f**3\/3 + 7*f**2\/2 - 2*f - 2. Let p(v) be the first derivative of g(v). Give p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -283334 and 1.\nAnswer: -283334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 0, -0.2, 0.1.\nAnswer: -96, -0.2, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y**2 + 0*y)*(-34*y - y - 16*y).\nAnswer: 102*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 16*u**2 - u + 19. Let z be v(16). Find the common denominator of 178\/12 - (-3 - 1) and 9\/((-56)\/(-12)*z).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -87*o**2 - 422*o + 27. Determine t(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 - 9*d + 5. Let l be a(-5). Let w be 3 + (21\/7 - (l - -1)). What is the second smallest value in -26, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-10)\/(-19)) - (-2)\/4. Let c(a) be the second derivative of 5*a**4\/3 - a. Let y be c(1). Calculate the greatest common divisor of g and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 29*y + 1. Let x(a) = 58*a. Calculate -5*u(i) + 2*x(i).\nAnswer: -29*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 311881 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*1*(-4)\/10. Suppose 3*g - c*w - 29 = -7, 4*g + 3*w = 1. Let a = 4 + -1. Do a and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjk when three letters picked without replacement from {e: 1, p: 2, q: 1, j: 2, k: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 287964 - 172283. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 3902 = 4438. Put 4\/3, t, 0.1 in descending order.\nAnswer: 4\/3, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**2 + 7. Let k(z) = z**2 + 1. Let q(w) = -4*b(w) + 28*k(w). Let y(s) = -1. Let u(r) = r - 1. Let v(g) = -u(g) + y(g). Calculate q(v(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69621*p**2\/7 - 1483092*p\/7 - 420.\nAnswer: 3*(23*p - 490)*(1009*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1006.6 - 1007. What is the closest to 0.1 in -2, o, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2542, -2543, -2544?\n\"Answer: -z - 2541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9340400889*f + 9340400889*f - 1396*f**2.\nAnswer: -1396*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:41 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 68*u + 72. What is y(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let j(m) = 2119*m + 158. What is j(q(x))?\nAnswer: -4238*x**2 + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 2\/3, 0.81, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -28, 2, 0.7, -31684 in decreasing order.\nAnswer: 2, 0.7, 2\/3, -28, -31684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d - 66*d = 80*o + 335, 2*o + 11 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1 + 17*u + 9*u - 3 - 24*u. Let d(p) = 2*p + 3. Let n be d(-3). Calculate x(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -1035534?\nAnswer: 1035526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*m*y**3 + 3*m*y + 133759*m + 66*y wrt y.\nAnswer: 60*m*y**2 + 3*m + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n. Determine f(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 221491.7 decades?\nAnswer: 2214.917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3045 or -3110?\nAnswer: -3110","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 4)\/((-1)\/2). Suppose 26 - 18 = 2*q + f, -2*q + 5*f + 8 = 0. Which is the closest to 0.1? (a) w (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {m: 3, p: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/9 in 23, 0.3, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 - r**2 - 2*r + 3. Let a be t(1). Suppose -a*k = -2*k - 5*s - 31, 2*s = k - 22. Calculate the remainder when 69 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4664 to two dps.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 3:44 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 29591 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -57029?\nAnswer: -57029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 2*j, 3*x - 16 = -5*j - 2. Is j bigger than 62\/281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**6\/120 + 11*i**5\/60 + i**3\/2 + 3*i**2. Calculate the remainder when 14 is divided by m(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5544*w**2 - 5569*w.\nAnswer: -11088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256 + 251. Sort 4, y, -90 in decreasing order.\nAnswer: 4, y, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygg when three letters picked without replacement from {a: 1, o: 3, i: 3, y: 1, g: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-196 + 387 - 70)*(3*o - 3*o + 4*o) to the form m + j*o and give j.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6614, 12874, 19134, 25394, 31654, 37914?\n\"Answer: 6260*a + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 204\/1061?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 7:13 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45531.1 milliseconds in seconds?\nAnswer: 45.5311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:53 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37343 + -34900. What is the remainder when b is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180430901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**2 + 0*s + 470*s**3 + s - 484*s**3 - s as y*s**3 + z*s + u*s**2 + b and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21649, -43210, -64699, -86116, -107461?\n\"Answer: 36*q**2 - 21669*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1726457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**5\/20 + l**4\/6 - l**3\/3 - l**2\/2 - 9*l + 2. Let j be g(-2). Solve -12 = j*y + y - v, 3*v = -5*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 1190, 2669, 4738, 7397, 10646, 14485?\nAnswer: 18914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 5\/(-1) + 64 + 4380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2648 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1938980176072\/3765 - 515001384. Let i = l + 10\/753. Find the common denominator of 87\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*m + 3*m. Suppose -d - 4*d + 4*q + 21 = 0, -m*d + 2*q = -12. Solve 2*u - d - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*v - 2851 = 0, 0 = -i + 30*v - 29*v - 950. Let y = 527 - -33. Let m = y + i. What is m rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(-43*(-74)\/(-15910))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 44 = -2*a. Let f = 53 + a. Calculate the remainder when f is divided by -1*(-13 - -1) - 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365579.8221 rounded to the nearest 10?\nAnswer: -365580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n - 2*n**2)*(-2 + 6 - 2) + (0*n + 0*n + 2*n**2)*(5 - 4 + 13)*(-2 - 3 + 6).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 2, i: 2, y: 3, t: 1, g: 2}. What is prob of picking 1 y and 1 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 16*j - 74. What is k(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3157521 (base 8) to base 7\nAnswer: -10112323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 43 - (0 - 2) - 1. Suppose 3*g - 6*x = -4*x + w, -3*g - 4*x = -20. Suppose h - 4*h = 2*l - 12, 0 = -3*h + g. Is l at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*k + 2315 = 0, -8*k - 914 = -2*v - 6*k. Suppose 3*c - 1141 = -2*g, g - 118 - v = -4*c. List the prime factors of g.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w - 81. Calculate v(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*o + t - 686, 66 + 87 = 5*o - 10*t + 38 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 152, 10, -6, -20, -15 in descending order.\nAnswer: 152, 10, 2, 1, -6, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/2 - -6) + -1. Let o be (-7457095)\/g - 4\/(-14). Let m = -2365299 - o. Round m to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*p + 197*o*x + 696*o - 2327*p*x - 1889*p - 10*x - 1 with respect to x.\nAnswer: 197*o - 2327*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12 - (-1)\/(-4). Let g(w) = 67*w + 5. Let y be g(0). Sort 1, y, h, -2 in ascending order.\nAnswer: -2, h, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 36*v**2 - 5*v + 6. Let s be t(3). Let a be 995\/s + -4 + 1. Let k = a - 4\/9. What is the closest to 0.1 in -0.02, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13004, 5, 2\/17, -8, 1?\nAnswer: -13004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r**3 - r**2 - 110 - r**4 - 3*r**3 + 52 + 55 to q*r**3 + t + s*r**2 + u*r**4 + v*r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1085 and 44578?\nAnswer: 1560230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29274, 117124, 263540, 468516, 732046?\n\"Answer: -h**3 + 29289*h**2 - 10*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 101 - 31\/2*c**2 + 13\/4*c**4 + c**3 + 0*c. What is the second derivative of p(k) wrt k?\nAnswer: 78*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 5. Let o be f(-4). Let t = o + 2. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddjddj. What is prob of picking 2 j and 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145676115 divided by 681.\nAnswer: -213915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38987459.\nAnswer: 7, 293, 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1)*36\/3. Solve 0 = -2*a + 2*b + d, a + 3*b - 2 = -0*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 12. Let k be f(6). Let s(i) = -i**2 - i**3 + 2*i**3 + 2*i**2 - 25 - 3*i**2 + 23. Let a(m) = 4 + 0*m**2 + 2*m**2 - 3 - m**2. Give k*a(x) - 3*s(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 7*s = -77. Let h(u) = 4*u**2 + 2*u + 3. Is h(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 10071*y**2 + 30211*y**2 - 10070*y**2 + 1 - 10075*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 38*m**2 + 6084*m + 665. What is q(-160)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z. Let r(g) be the third derivative of -7*g**6\/360 - 53*g**3\/6 + 35*g**2. Let l(i) be the first derivative of r(i). Calculate l(y(o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3757951759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*n + 520*n + 363*n**3 - 205*n.\nAnswer: 363*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27141\/5 - 5396. What is the biggest value in y, 4, 5, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 745.\nAnswer: 13\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3399 + 1009?\nAnswer: -2390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3093 - -3879. Let n = -1197 + 4095. Suppose 11*i - n = -v. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/(-10))\/3)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3275*s**3 - 3269*s**3 - 3266*s**3 - 3277*s**3 + 13107*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:20 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40121 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)\/sqrt(4) - sqrt(11) - (0 + sqrt(99)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1988 or 1986?\nAnswer: 1988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 148204 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28350)\/37422 - (34\/(-11) + (34 - 31))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106633305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 705*x - 1430.\nAnswer: 5*(x - 143)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -58bae (base 15) in base 3?\nAnswer: -112100212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -13*y**7\/2520 + y**6\/360 - 2*y**5\/5 + 3*y**2. Let z(a) be the third derivative of x(a). What are the prime factors of z(-4)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4519 or 4521?\nAnswer: 4521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.0922 to 1 decimal place.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**7\/420 - b**6\/90 + 2*b**3\/3 - 5*b. Let u(w) be the second derivative of c(w). Find the third derivative of u(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2857 - 2875. What is the third biggest value in z, 4, 0.5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 4\/10515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -3*a**4\/8 + 32*a**2. Let g(o) = -80*o. Determine -4*g(c) + 35*h(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 + 112?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = 0, -r - j = 4*r - 60. Let z(s) = -s**3 + 11*s**2 - s + 13. Let f be z(r). Is 6 a factor of 1\/f*(36 + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 + -4 - 3)*-1. Let f = 0.0207 + -0.0207. Which is the second biggest value? (a) 2\/9 (b) y (c) f (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/9))**13)**(-26\/7)\/((n*n**(2\/3))\/(n\/(n*n**6)))**(-1\/35) assuming n is positive.\nAnswer: n**(-473\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*k = -3528*k + 622*k - 343490 for k.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 731 (base 8) to base 15\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 78\/7, -60, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m + 3365 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*r*r**(4\/9))))\/(r\/(r\/(r\/(r*r\/r**2*r)*r))))\/(r**(-4\/3)\/((r*(r**(1\/4)*r*r*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 13*i - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -3.03. Let z = -2 + q. Suppose 5*g + 5 = -5*d, 0 = 3*d - 1 - 2. Which is the closest to z? (a) -1\/4 (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1*3*-127. Let o = f - -3410\/9. Let b = -2071\/585 + -7\/117. Find the common denominator of b and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 13*p + 11. Let n be h(12). Let y be 1\/((-2)\/(-6)) + n. Let o(t) = 7*t - 3*t**y - 5*t**2 + 12 - 19 + t**3. What is o(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 81?\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -142905 >= -142906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/108*-2*-3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/568 and (-35)\/(-4)*(-2296)\/1640.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.3. Let n = -641\/1162 + 30\/581. Which is the closest to 0.1? (a) y (b) n (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 4, 3, -18, -65?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(1216) - sqrt(1216)) + 1 + -5)*1*-1)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*c - 17*c + 199 - 199 to the form q + u*c and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (308\/(-42))\/((-2)\/6) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3666335068 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511147839 is divided by 9920.\nAnswer: 9919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 13 - 13*l**2 - 42 + 21*l + 23.\nAnswer: -13*l**2 + 21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7602 + -7588. Calculate the highest common factor of i and 25634.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/18)\/((-56)\/84)*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 352097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 2, r: 4, i: 3, e: 4, n: 1}. What is prob of picking 2 x and 1 r?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -30, 8, 4170, -1, 0, -5 in decreasing order.\nAnswer: 4170, 8, 0, -1, -5, -17, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 3. Let m(y) = -10*y + 10. What is 21*a(p) - 6*m(p)?\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100.6 + -91. Let t = k - 10. Which is the nearest to 0? (a) t (b) 3\/4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*z = 152, 5*z = -5*f + 7 + 173. Let k be (f\/150)\/((-4)\/5630). Let i = k + 382. What is the common denominator of -15\/8 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-244*i + 124*i + 2 + 122*i)*(20 + 18 - 5) + 2*i - 3 + 3.\nAnswer: 68*i + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 3*q - 13, 0 = -5*q - 10. Suppose -3*n - p = -48900, 0 = 3*n - l*n + 2*p + 65200. What is n rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200021444 (base 6) to base 4.\nAnswer: 30310312210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*d + 30*d - z - 7, 0 = 4*d - 4*z - 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 50, -2, -7 in ascending order.\nAnswer: -7, -3, -2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19746273.\nAnswer: 3, 6582091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/5 - 113*c**3\/5 - 4213*c**2\/5 - 12207*c - 301158\/5 = 0. Calculate c.\nAnswer: -54, -33, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -175*r + 63. Let v(o) = 11*o - 4. Let x(j) = -4*u(j) - 63*v(j). Let g(w) = 24 - 11 - 13 + 0*w + 3*w. Give g(x(h)).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/29)\/(b\/b**1))\/(b*b**(-2\/29)*b)**7 assuming b is positive.\nAnswer: b**(-393\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5030.706ms in microseconds?\nAnswer: 5030706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -81*j + 64. Give w(2).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1620)\/(-2916)*6\/35. Which is the closest to -1\/4? (a) 3 (b) v (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:32 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10)\/(19\/(-190))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**2 - 8*c + 8. Let k(t) = -4*t**2 - 3*t + 3. Let p(o) = 3*i(o) - 8*k(o). Let m(q) = q. Give m(p(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - 1) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 3*i**2 + 4*i + 12. Suppose -4*a = 4*b - 8*a + 12, 0 = b + 2*a + 15. Is 10 a factor of u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3830978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5 + 7. Is 16 a factor of (0 - h) + 48 + (-7 - -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minus -0.01?\nAnswer: 669.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8480347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - ((-88 - -28) + 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33789, -67593, -101401, -135213?\n\"Answer: -2*j**2 - 33798*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72747*r**5 + 33*r**3 - 23396118*r.\nAnswer: -1454940*r**3 + 198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/40 + (-2)\/1. What is the third biggest value in s, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - 2*1*sqrt(539)) + sqrt(539) - (-2 + (0 + sqrt(11) + -2)**2).\nAnswer: -13 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, t: 1, f: 6, c: 4}. What is prob of picking 1 f and 1 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -24*p + 10. Is s(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkkkxkvkvvkvkkvvxkx. What is prob of picking 2 k and 2 v?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -5*y**4\/12 - 65*y**3\/6 - 55*y**2 - y - 289. Factor p(h).\nAnswer: -5*(h + 2)*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1*2)\/(-2))\/((-5)\/(-35)). Let h(o) = o**3 - 8*o**2 + 7*o + 12. Let d be h(r). Suppose -2*u - d = -n - 39, 3*u - 23 = -2*n. Which is bigger: 12 or u?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -p + 1319995, 5*t - p - p - 3300010 = 0. Round t to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+16488160\nAnswer: 16488159.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120585*u**2 + 232801 wrt u.\nAnswer: 241170*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 3\/5 (c) 2 (d) 5.6 (e) -7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in 2, 2\/9, -7821, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*-1 - 306\/(-81). Let s = 1.2 + -1.4. Put -5\/2, s, i in descending order.\nAnswer: s, i, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*g - 33860 + 7427 - 3423 = 0. What is the greatest common divisor of 4288 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*f**2 + 91125\/2 + 675*f.\nAnswer: 5*(f + 135)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 12*a + 49. Let q be d(25). Let h = q - 1627. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:21 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*a + 124*a = 194*a - 225*a + 48719 for a.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255188 and 524?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 83 = -15*a + 161, -36 = -2*z - 2*a. Solve 0 = 16*d - 19*d, -5*d = 3*v - z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/160 and -55\/28.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*k + 15 = 0, 0*k = w + 3*k + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29799 - 4?\nAnswer: -29803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjffjf. What is prob of picking 4 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/5, 0.1, -2\/7, -2651?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65076569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, 1, 15, -0.2 in decreasing order.\nAnswer: 15, 1.4, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 - (325\/6)\/(-25). Let m be 18\/8 - (-3)\/4. Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000186942069 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978 is divided by 451.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.91 - 3.91. Let z = 16.999432 - j. Round z to 5 decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r**1)))**(1\/9)*r**(4\/5)*(r\/(r*r**2*r))\/r assuming r is positive.\nAnswer: r**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 11:17 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 14*r**2 - 13*r - 6. Let h = -69 + 69. Suppose h*w = 6*w - 72. List the prime factors of d(w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 5*z**2 - 12*z - 9. Determine b(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-11 - (0 + -4)) - (-2 - -2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4475 = -190*a - 1245. Solve 0 = -u - 2*f + 6, -5*u - a*f + 15*f + 14 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*k - 2 - 24, k + 29 = 4*h. Suppose -s + h = 6*s. Which is the second smallest value? (a) s (b) 0 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2110 + 1053 + 1057 + 65220*h**3.\nAnswer: 65220*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13197 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/30 - 109*o**4\/24 + 377*o**3\/2 + 13*o**2 + 2. What is the derivative of i(y) wrt y?\nAnswer: 4*y - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*a + 18, 3*p - 25 = -2*p - 5*a. Solve -256*d**p + 4*d - 40 + 0*d + 40 - 48*d**2 + 192*d**3 = 0 for d.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -5828, 0 in ascending order.\nAnswer: -5828, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2. Let d(u) be the second derivative of 0 + 0*u**3 + 1\/2*u**4 + 0*u**2 + u. Calculate d(p(c)).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 4*l**3 - 3*l**3 + (1 - 2 + 3)*(2*l**3 + 4*l**2 - 4*l**2))*((-3 + 1 + 1)*(-6*l + 3*l + l) + 4*l + 3*l - 6*l).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**3*q*q*q*(q*q**(-10)\/q)\/q*q*(q*q**(-11\/3))\/(q*(q*q\/q**(3\/4))\/q) assuming q is positive.\nAnswer: q**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104249 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.2. Let c be -3*2 - (2 - 2). Let w = c + 10. What is the closest to 1\/4 in w, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.30562 to 0 decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, v: 1, h: 2, c: 2, d: 1, m: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x + 14 - 2 + 1 + 103*x**2 - 8 - 6. Is c(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2970 and -73\/270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 226 = -307. Solve 19*z - i = 16*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 9*p**3 - 8*p**3 + 31.\nAnswer: p**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 1. Let x(k) = 8*k**2 - 2*k - 3. Let s(v) = 4*p(v) + x(v). Let u be s(1). Solve -u*d = f - 11, -2*f - 8 - 10 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(6\/(-55)) + 5\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-5))\/(-4)*(2 + 3). Calculate the smallest common multiple of 156 and -3 + -5 + 6 + 6 + y.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + w = -52, -2*u + 90359*w + 139 = 90356*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30966 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 3*f - 6*f)*(-3*f + 4*f - 2*f) + 3*f**2 + 4 + 4*f**2 - 2.\nAnswer: 6*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0.3. Let v = -7.89 + -0.11. Let i = v + 13. Which is the second biggest value? (a) -4 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:10 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/99 and 79\/15.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/((x**1*x)\/x*x))\/x*x)\/(x\/x**(-3\/5)))\/(x*x\/((x**(-13\/5)*x)\/x)*x**(-7\/6)\/x*x*x) assuming x is positive.\nAnswer: x**(-181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1328 divide 266124560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -17. Let a = 67\/10 + -7\/2. Let i = a - 102\/35. Sort i, u, -5\/3 in descending order.\nAnswer: i, -5\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, 0, -878, 0.8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -3. Let q = 302 - 302.5. Let g = 219\/4 - 55. What is the biggest value in g, q, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/60 - l**4\/12 - l**3\/6 + l**2. Let s = 2 + -14. Let z be 1 - (-4)\/(s\/9). What is v(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9)\/((-1244)\/(-20) + 114\/(-95) + 7) and 43\/36 + 4 + -2.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*10*-2. Let c = d - 8. Solve 4*r - 16 = -o - r, -o + c*r - 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 11*m**2 - 17*m + 12. Let f = -93 + 82. What is the units digit of y(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7410*f + 24 = 7398*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = r - 0*b - 17, 5*b - 20 = -r. Sort -3, r, 4, 2 in decreasing order.\nAnswer: r, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, k: 1, o: 4}. Give prob of picking 1 k and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 4972.\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 80955963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/153 + (-29)\/(-102)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 19*p - 12*p. Let k(s) = 1242*s**3 + 10*s**2 + 17*s - 5. Let g be k(p). What is g rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*a**2 + 3*a + 252 wrt a?\nAnswer: -64*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 14) to base 13\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 31*d + 2. Let s be g(-4). Calculate the remainder when 24 is divided by 12\/42 + s\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 7 + 43 = -66*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 822*q**3 + 1818*q**3 - 5862 + 6217 wrt q.\nAnswer: 7920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20164*n**5 + 40896*n**4 + 1140*n**3 + 8*n**2 = 0. What is n?\nAnswer: -2, -1\/71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*a + 15*a - 14 + 14 + 350*a**2 - 27*a in the form d + o*a**2 + l*a and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 88988675 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 3}. What is prob of picking 2 v and 2 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367 + 352 + (-3 - -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -102 and -17.58999.\nAnswer: 1794.17898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6521186?\nAnswer: 2, 7, 465799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 63. Let n = -67 + 75. Solve n*m - 3*m = -q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18273, 1\/4, -2\/973 in increasing order.\nAnswer: -0.18273, -2\/973, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 125 = 29*b - 3*x, -x = -4*b + 396. Solve 0 = b*o - 105*o - 32 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1 + 17*m + 0 + 0. Let l be -3 + (-12)\/(-4) + 2. Is j(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:26 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*h - 62*h + 13*h - 180 - 29*h - 42*h wrt h.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8532 + 8532.22. Which is the closest to 0? (a) 4 (b) -24 (c) 1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 258 = 3. Let z = q + -209. Does 10 divide (3 + z\/(-4))*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582044373 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 4:22 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-90)\/40)\/((-3)\/8). Suppose p = 3*g - 9. Suppose g*y - 549 + 34 = 0. List the prime factors of y.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/29592 and 23\/22194?\nAnswer: 88776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:36 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:50 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 105*v**2 + 28704*v - 806196.\nAnswer: -3*(v - 46)**2*(v + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -0.5, 0.2, 1\/2 in ascending order.\nAnswer: -85, -0.5, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, d: 2}. What is prob of picking 1 d and 3 c?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*c + 754397, 1140446 = 5*r + 4*c - 745564. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33a (base 11) to base 3\nAnswer: 120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 103.329 micrometers?\nAnswer: 0.000000103329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20102 (base 14) to base 3.\nAnswer: -10220122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67*(-2856)\/13668*(10 + 1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4606314 and 1207901?\nAnswer: 3210600858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let a(m) = -m - 2 - 9*m + 13*m + 2*m**2. Suppose -4*r + 1 + 3 = 0. Let b(x) = r*a(x) + 3*g(x). Factor b(p).\nAnswer: 2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -21*u - 10696. Let d = u + 2817. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most -0.011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d**2*s**3*v - 68*d**2*s**2 + 4*d**2*v + 8*d**2 + 2*v wrt s?\nAnswer: -15*d**2*s**2*v - 136*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325.604 milligrams in tonnes?\nAnswer: 0.000000325604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q - 0*q. Suppose 0*t - 7*t = -427. Let h = -57 + t. Solve 0*l = -q*l - h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 53*k - 106*k + k**4 - 6*k**3 + 53*k.\nAnswer: -2*k**3*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 237 = -2*l + 1686, 5*u + 2*l = 7245. Solve u*z + 14 = 1442*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6 - 6) + 2 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 47630.\nAnswer: 1\/9526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 4*w + 4. Let a be t(5). Let b be (a + -3)\/((-8)\/(-20)). List the prime factors of ((-26)\/(-5))\/(b\/(-25)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24975\/(-999)*((-1)\/10)\/(2\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 286724?\nAnswer: 286728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csxx when four letters picked without replacement from xgxgcxggcgxgcxgsscg.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 771144403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 8*r - 4. Let s be a(7). Suppose 0 = -s*z - 7 + 244. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2 + -1 - (1 + sqrt(128)))*-1.\nAnswer: 2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*o*r**4 - 25*o*r**3 + 957*o*r**2 - 46*o + 13*r**5 + 2*r**3 wrt r?\nAnswer: 96*o*r - 150*o + 780*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + 5*w**2 - 58*w - 7. Give r(-8).\nAnswer: 1801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -26*n**3 + n**2 + n + 3. Suppose -275*a + 277*a = 130. What is the remainder when u(-2) is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004329804 rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 * -2.51757\nAnswer: 8.307981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3*r + 8*r)*(-72 - r - r + 0*r)*(2*r**3 - 2*r**3 + r**3).\nAnswer: -8*r**5 - 288*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-28) - (-4)\/(-14). Suppose 0 = 3*m + 3 - b. Let i(c) be the third derivative of c**4\/24 - c**3\/6 + 4638*c**2. Give i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0 + 1\/20*z**4 - 1\/10*z**3 + 0*z**2 - 3*z. Factor f(u).\nAnswer: 3*u*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 25 = 5*u + b, -3*b - 9 = 2*u. What is the third smallest value in -1.1, 6, u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - 0) + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12330*a**3 - 2*a**2 + 2861*a - 3.\nAnswer: -73980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2\/(-3) - 80\/(-15))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24385 + 24385 - 304*w.\nAnswer: -304*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(2\/9)\/k*k*k))\/k**9)\/(k**(-10)*k**13) assuming k is positive.\nAnswer: k**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 + 102. Calculate the common denominator of 67\/14 and 9 + -6 - (b + (-254)\/24).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 - 446*n + 1324. Calculate a(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721819139?\nAnswer: 19, 1999499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -24 + (-19 + 16 - 5) + 19 + -7.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 3462554?\nAnswer: 3462552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 22.44, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14066*i*w + 2*i - 24069*w with respect to i.\nAnswer: -14066*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -613996, -1227730, -1841464?\n\"Answer: -613734*j - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lflmmmlll. What is prob of sequence fmml?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.079? (a) 12 (b) -5 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 7*h**2 - 4*h - 9. Let q be p(-6). Let n = q + 41. What is the least common multiple of (-12)\/(-7)*((-1792)\/(-6))\/32 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s - 20 = 0. Let -4 + s - n**2 + 4*n - 3*n = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6520530 and 9128742?\nAnswer: 45643710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 2*n + 5 = 33*j, 5*n - 12 = -2*j. Put -3, -36, j in decreasing order.\nAnswer: j, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxcx when four letters picked without replacement from {x: 12, c: 6}?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*x + 53 + 7 = 0, 4*x + 5*x - 68 = -4*k + 5*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 21 = 4*f. Calculate the highest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -6 - -2 - (-1 + -1). Let n(u) be the second derivative of u**4\/3 + u. Let f be n(m). Solve 3*z + 2*y = 9, 4*y = -2*z + f + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2619*i**3*o**2 + 3*i**3 - 27*i**2*n**2*o**2 - 107218*n**2 wrt o.\nAnswer: -5238*i**3*o - 54*i**2*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**5 + 3*r**3 + 4*r**2. Suppose g + 2 = -g. Let o(b) be the third derivative of b**5\/60 - 2*b**2. Let x(y) = g*d(y) + 4*o(y). Factor x(l).\nAnswer: 3*l**3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 611212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 5269.\nAnswer: 15807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -30*z**2 - 38*z - 330. Calculate h(0).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23 (b) 435 (c) 811\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/97992 and -61\/16332.\nAnswer: 97992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/21762 and -83\/32643.\nAnswer: 65286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from {u: 2, i: 4, g: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81327968 is divided by 1452?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*j = -25, 3*s + 3*j = -s - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -258, -249, -236, -219, -198, -173?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + t. What is b(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 9. Let c be y(-6). Let z = 5 + c. Let r(b) = -b**3 + 7*b**2 + 9*b - 4. Calculate the smallest common multiple of z and r(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11868 - -142675\/12. Let d = -81\/4 + l. Let x be (-3)\/(-18*(-4)\/16). Sort x, 3, -5, d in decreasing order.\nAnswer: 3, d, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 658615 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 5:49 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 42 = l, -k - 100 = -6*k - 5*l. Suppose -11 = -2*q + 3*n + k, -n = 3. Suppose -3*a + q*a - 27 = 0. Solve 0 = s - 1 + a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 181*f**2 + 8167*f - 352. Give t(-95).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1759260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5.5 times -3\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.7. Let k = -0.06 + 1.06. What is the smallest value in k, h, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/120 + u**5\/5 + u**4\/24 - 4*u**3\/3 + 318*u**2 + 1. Calculate w(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -927.4?\nAnswer: 929.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 3:40 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + k - 265 = 3*k, -5*k = -5*y + 265. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.206 (b) -5 (c) -1 (d) 1\/4 (e) -1\/5 (f) -4 (g) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 2\/7 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -5*v**7\/7 - 7*v**3\/3 + 5. Find the third derivative of b(a) wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12\/5 (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41720*t**3 - 19426*t**2?\nAnswer: -250320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(108) + (-3*1*sqrt(108))**2 + 2 + (sqrt(108) - ((sqrt(108) - (sqrt(108)*4 + sqrt(108))) + -1) - (-3 + sqrt(108) + -1)).\nAnswer: 30*sqrt(3) + 983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11788 divided by -2947?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 - 3*y**4 + 2*y**4)*((1 - 3 + 1)*(-1 + 3*y + 1) - 3*y + 2*y + 3*y - 4*y + 2*y + 3*y + (-3 + 6 - 4)*(0 + 0 + 2*y) + 3*y - 3*y + y).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 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: Rearrange 87*i**2 - 4*i**3 - 91*i**2 + 18*i - 19*i to the form n + u*i**2 + c*i + x*i**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 times -774?\nAnswer: 189630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - 9 + 2*k - 8 + 6 - 8 in the form w*k + l and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -39*j + 117. Give i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205*c - 128 + 128)*(-2*c - 5*c + 4*c).\nAnswer: 615*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 + i**2 + 7*i - 468. Let h be x(0). Let s = -16861\/36 - h. Let f = -36589 - -1317323\/36. Find the common denominator of s and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.05 (c) 1797\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006682 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 x, and 1 j when three letters picked without replacement from {j: 1, o: 1, u: 1, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-75 + 46) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 341889670 and 5432980.\nAnswer: 4786455380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 34 = -4*t. Let a = t + -16. Let s = -15 + a. Let q(v) = 2*v - 1. Determine q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 33774\/(-9))\/((-3 - -6)\/27). Which is smaller: j or -33784?\nAnswer: -33784","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 - 240 = -22*u + 207 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (5 - (-1 + 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37025*x + 2 + 37027*x - 111083*x + 37024*x.\nAnswer: -7*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(500)*2 + 4 - (sqrt(500)*1*-3 + sqrt(500) - (sqrt(500) - (2*sqrt(500) + 0))))**2.\nAnswer: 240*sqrt(5) + 4516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + (-2)\/4. Suppose q = -m + 152 - 4. Does 37 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -411555025?\nAnswer: -411555105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76747.89 - -0.3219.\nAnswer: -76747.5681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -211, -251, -291, -331?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087320 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11529.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 6:19 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 14558000 to the nearest 100000.\nAnswer: 14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/120 - 7*b**5\/60 + b**4\/12 - 4*b**3\/3 + 4*b**2. Let h be s(7). Let c(d) = 4*d - 8. List the prime factors of c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(3)*5 + -1 + ((sqrt(192) - sqrt(12))*1)\/(sqrt(64)*2 + sqrt(64)).\nAnswer: 1 + 21*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37174 less than -258013908?\nAnswer: -258013908.37174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*t - 29 = -0*t, p = -4*t - 21. Let i be 4\/2 - (-4)\/p. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z + 4*k + 8, 4*z - 5*k = -8. Let x be (-3 + (-1 - z))*-1. Solve x*q = 6*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -272 - -272. Suppose 0 = 2*y + a - 928, 3*a + 2342 = 5*y - g*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1625933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77234068 is divided by 253.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 - 2892*x - 2893 = 0. What is x?\nAnswer: -1, 2893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3279 * -2.\nAnswer: -6558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1241785 (base 9) to base 8\nAnswer: 2452444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5560929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10010 (base 3) to base 9\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1405638828 by -3.\nAnswer: 468546276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, 5, 21, 4, 22, 3 in increasing order.\nAnswer: 1, 3, 4, 5, 10, 21, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -5, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*u**3 - 24*u**3 - 20*u**3 - 29*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 k when four letters picked without replacement from {k: 2, c: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1645489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (17 - (25 + -10) - (0 + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 4 (c) -51728 (d) 2 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103313132123013 - -11?\nAnswer: 103313132123030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:20 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.053 + 11.857. Let i = 15.136772469 + -3.22677309. Let s = z - i. Round s to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*g + 1000. Round g to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t - 15 = 0. Calculate the highest common divisor of t and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-33))\/((-1)\/(-2))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l = 3*d - 2824, -13 = 13*d. What is the greatest common divisor of 22 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1979.\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 318859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - -33. Let b = -120 + v. Let i = -20 - b. What is the smallest common multiple of i and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**(-4))\/f))\/f**1*(f**3*f)\/((f**(-2\/21)*f)\/f))\/((f\/(f\/(f\/(f**(1\/12)*f))))\/f*f*f**(-6))**(2\/21) assuming f is positive.\nAnswer: f**(1093\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 22. Let r be (-1)\/(l\/(-2)) - (16 - 16). What is the closest to -13 in -4, r, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 5, j: 1, g: 6, a: 2, z: 3}. What is prob of sequence cg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88)\/sqrt(4) + sqrt(22))\/(sqrt(18)*-4)*-6)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {f: 2, m: 4, r: 10}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*p + 3*p. Let o(k) = 35*k**2 - 15*k + 50. Let y(i) = -5*i**2 + 2*i - 7. Let g(t) = p*o(t) - 15*y(t). Differentiate g(c) wrt c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12925 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 6) + -6 + 2. Let r(p) = -7*p**3 - 2*p. Let d(m) = 5*m**3 + m. Give k*d(i) - 5*r(i).\nAnswer: -5*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**6\/120 + 2*r**5\/15 + 5*r**4\/12 + 13*r**3\/6 - 23*r**2. Calculate the remainder when 95 is divided by f(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 - 4*y**3 + 8*y**3)*(-11*y + 8*y + 5*y + 7*y + 8*y).\nAnswer: 153*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g - 116. Determine z(-35).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32879616 by 15568.\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-1 - 1 - -33). Suppose 0*s = -3*s + n. Solve -4*j + s = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -264, -526, -788, -1050?\n\"Answer: -262*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 23*o**2 + 14. Let y(d) = 10*d**2 + 6. Let x(l) = -6*w(l) + 14*y(l). Let j(z) be the third derivative of -3*z**4\/8 - 11*z**2. Give x(j(b)).\nAnswer: 162*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 7 + 85*g**2 - 3 - 40*g**2 - 48*g**2 to the form v*g**2 + r*g**3 + f + z*g and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -2) + -73 - (5 - 8) - (0 - 8)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**2 + 8*k - 2. Let p be h(6). Suppose 160*l = 155*l - 3*z + 1082, -18 = 3*z. What is the greatest common factor of l and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 24*d**2 + 44*d + 3. Let u = -13 + 1. Let o be (-2)\/(8\/u) + -2 + -23. What is the remainder when 58 is divided by n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 - (-24)\/(-14). Suppose -2*t = -4*t + 4. Let h = m + t. Let j(y) = -y**2 + y + 6. What is j(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*a + 82, -5*y + 2*a + 86 = -14. Let m be (-40)\/12*y\/(-5). Suppose -5*f - 70 = 6*r - 3*r, 2*f - 2*r = -m. Round f to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/((-5)\/((-450)\/510)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 0, 7, 4, -10 in ascending order.\nAnswer: -40, -10, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2\/159, 1294, -4\/3?\nAnswer: 1294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5195 + 693 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -12) + (3 + -9 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024032916 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**4\/12 + 13*b**3\/3 - 62*b**2. Give f(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + h**2 - h. Let n(x) = 2*x**3 + x**2 - 4*x - 10. Let t(s) = -n(s) - o(s). List the prime factors of t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**2 + 12*l + 24. Determine b(-6).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 3. Let l(v) = -v - 2. Let p(u) = 3*l(u) + 2*z(u). Let i = 29 - 30. Let b(y) = -1 - 8*y + 5*y - 4*y. Give i*b(w) - 5*p(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 0 + sqrt(1331) - sqrt(132)\/sqrt(3))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + 0 + (-1 - 1) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 - 0.22. What is the nearest to 2\/3 in -0.01, -5\/3, s?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -4.217588049379.\nAnswer: -1.217588049379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*(q\/q**(1\/7))\/q))\/(q*q**(-3)))\/(q**(1\/8)\/q*q**(-5)\/q*q))\/(q**(-4\/3)*q*q**(-8)*q*q*q*q\/(q**(-7)\/q)*q**(1\/5)*q) assuming q is positive.\nAnswer: q**(2647\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 763 - 730. What is the smallest value in 1\/4, 4\/3, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, n: 1}. Give prob of picking 3 l and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3268 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a = 0. Let n be a\/(-1) + 0\/2. Is 14 a factor of 1*(-1 + (n - -29))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27*(-5)\/60*1*-4. Suppose a*l = -l + 110. Calculate the remainder when 96 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1408, -1398, -1384, -1366, -1344?\n\"Answer: 2*b**2 + 4*b - 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1169463 by 457.\nAnswer: -2559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*h - 275, 15 = -h + 4*h. Suppose v*u = 64*u. Solve 2*r = u, -4*g = -4*r + r + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1017.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(28)\/sqrt(4) + 3) + -5 + (sqrt(7)*2)**2 + 0 + (sqrt(35)\/(sqrt(25)\/sqrt(5)) - (sqrt(7) - (sqrt(700) + -3)))*-1.\nAnswer: -5*sqrt(7) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 90*o - 53 = -85*o, 2*o = -r - 21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23400 and 98180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6))\/((-96)\/18 - -5). Suppose -l*f - 4*k + 2*k = 0, 22 = f - 5*k. Solve 4*t + 5*y = 37, -t + 13 = -0*y + f*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/((-230)\/60)*(75\/(-10))\/(-3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k**(-2))**(-36)*(k*k\/(k**(-6)*k)*k*k*k*k*k**(-1\/8)*k)\/(k**0)**(-6\/5) assuming k is positive.\nAnswer: k**(671\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 6. Let f(r) = r**3 + r + 15. Let q be f(0). Suppose 37 = -2*v - 5*d, -3*d - q = -0*d. Determine i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 139 (c) 2\/9 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 + 2.2. What is the third biggest value in 0.2, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10269131 or -10269132?\nAnswer: -10269132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/552791 and -83\/6633492?\nAnswer: 6633492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 8 (b) 3725 (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-10)*4\/6*-4. Sort -333, 1, p in decreasing order.\nAnswer: p, 1, -333","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -79.91. Let h = s + 0.291. Let t = -0.067 - h. Round t to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5563856374 and 1558?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*h - 3*h - 19, 0 = 4*t + 3*h - 23. Suppose t*r - 8*r - 19400 = 4*x, 5*x + 32325 = -5*r. What is r rounded to the nearest 100?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9 - -1.1. Let q(l) be the first derivative of l**4\/4 + 2*l**3\/3 - 3*l**2\/2 - l - 5. Let z be q(0). Which is the closest to z? (a) 0 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022100002 + -1201221?\nAnswer: -11101002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2104 - -22?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*j = 12, 3*a + 10 = 5*a + 3*j. Suppose -a*n - 577 = -q + 166, -5*q = n - 3682. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11672*r**3 - r - 6041*r**3 - 5340*r**3.\nAnswer: 291*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012362 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26*(-9)\/(-24))\/((-48)\/64). Suppose a*z + 6*z - 9519 = 0. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 39*k**2 + 6*k - 3*k**3 - 84*k**2 + 40*k**2 + 4*k**3. Let l be o(4). Solve -4 = 4*j + l, 3*m - j = -12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jijjjjjdjjjjjj. What is prob of picking 1 d and 1 j?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/4 - ((-20)\/8 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2380*c**4 - 2528*c**4 + 138*c - 1)*(0 - 1 + 0) as q*c**2 + n*c**4 + o + f*c + p*c**3 and give f.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29392 = -4*j - 7*j. List the prime factors of j.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 + 7 = 0. Let o(y) = -y**2 - y + 2. Let q be o(a). Suppose q*g = 5*g - 15. Let f(j) = j**3 - 5*j**2 + 2*j + 1. What is f(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 9) to base 2\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -16*q - 4. Let k be b(3). Let a be k\/(-26)*2*-62. Let f = -173 - a. Calculate the remainder when f is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 2155*y**2 - 36970*y + 82600.\nAnswer: -5*(y - 2)*(y + 20)*(y + 413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*p = 56*p + 1078. Suppose -4*d + 5*d = -b - 20, d = -1. Calculate the remainder when 102 is divided by (-18 - b)*(p + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/27 + 1\/(9\/191). Suppose c*a - 896 = 14*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -11, -0.3, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - j + 13 = 0, -4*w + 9*w = 5*j - 35. Let d be (1*-274)\/(4 + w - 3). Let q = d + -59. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2042, 1951, 1806, 1613, 1378, 1107, 806, 481?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26132211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**4 - 2187*b**3\/5 + 921*b**2\/5 + 70983*b\/5 + 13578 = 0?\nAnswer: -146, -5, -1, 31\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 3*h**2 - h - 2. What is d(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwnjjwwjwwwwjjw. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/1130115677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 132?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + 4.89. Let w = 15 - 3. Let d = w + -17. What is the biggest value in 0.2, d, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 139*s**6\/3 - 99*s**2 + 148. Find the second derivative of o(a) wrt a.\nAnswer: 5560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96060 + -3362426\/35. Let j = -68\/7 - y. What is the nearest to 2 in -1, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.63 - 0.23. Put -0.2, -0.1, k in decreasing order.\nAnswer: k, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 - r**4 + r**4 + (-2*r**3 - 5*r**3 + 4*r**3)*(-r - r + r) to x*r + q*r**4 + b + l*r**2 + c*r**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 553b?\nAnswer: -5539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 178290432*q - 46168750 wrt q?\nAnswer: 178290432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 128355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfv when three letters picked without replacement from {v: 2, p: 1, f: 2, k: 2, j: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Suppose n*z - z - 169 = p, 2*p - 212 = -4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4132533?\nAnswer: 3, 887, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 501 - 497. Which is the nearest to -2? (a) 0.3 (b) 0.5 (c) 1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 790, 1765, 3126, 4873, 7006?\nAnswer: 9525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-10)\/(-240)*(-9)\/46.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 - -43. Let z = 50 - n. Let x = 26 + z. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*v + 25 = 0, 10 = 4*q - 3*v + v. Suppose 4*y + x - 9 = 0, 2*y + q*x + 14 = 5. Sort 12, -5, y, -2.\nAnswer: -5, -2, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-9)\/27))\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*j + 79*j = 64*j - 10447 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 1\/3, -2\/11, 1\/77?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2465 is divided by -5 - 0 - (214 - 228).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 120463.2604 to the nearest ten.\nAnswer: 120460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 762 divided by -23030\nAnswer: -381\/11515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -739329.2 to the nearest one hundred.\nAnswer: -739300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/(l*l**(-21)) assuming l is positive.\nAnswer: l**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -12663, 5, -19, -10, 0 in decreasing order.\nAnswer: 5, 0, -10, -19, -12663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 27 + -42 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144197 is divided by 57?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 - 2891*z\/5 + 367586\/5.\nAnswer: -(z - 122)*(z + 3013)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 541492128 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 - (73 + -51 - (-9 + 0)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3076912?\nAnswer: 3076912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.176 - 3.176. Let g = 15\/7 - 2. Sort g, 5, k, 0 in descending order.\nAnswer: 5, g, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, -1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 13*w + 1. Calculate s(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 3*b**2 + 2*b + 2. Let q = -5 - -4. Let l(x) = -3*x - 1. Let u be l(q). Let h be c(u). Which is bigger: 4\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 600981, 1201976, 1802973, 2403972, 3004973, 3605976?\n\"Answer: j**2 + 600992*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17611 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 9. Let d be k(-7). Suppose 0 = z - 15 - 45. Suppose 3*c - z = -0*c. Solve 3*g - c = -d*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x + 15 = 0. Suppose -3*t + 24 = -7*t. Let h = t + x. Solve -21 + h = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 11 - 58\/(-1). What is the greatest common divisor of 330 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 109 = -11. Suppose 33*i = v*i + 258. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 572.649mg?\nAnswer: 0.000572649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 27*o**2 + o + 1. Determine b(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - 38*c - 1378. Give p(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 0*q + 3 + 5*q)*(2 + 2 - 1) + 4*q - q - 4*q to the form s + z*q and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-57)\/18)\/(-19))\/((-2)\/20).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-8) + 0 + (3 - 5). Let t = 1.162 - 0.962. Which is the closest to -6? (a) t (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, d: 4, q: 2}. Give prob of sequence xqdd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062903113 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -1 + -4 - (2988 + -3023).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4242930829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-33))\/(3\/(-33)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 267?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.59576 nanometers in centimeters?\nAnswer: 0.000009659576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 24033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*4)\/(sqrt(9) - (sqrt(90)*-1)\/sqrt(10)))**2 - 3*5*sqrt(252).\nAnswer: -90*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)\/(0 + -1). Let q(x) = x**2 + 13*x + 44. Let v be q(-8). Suppose 0 = -v*l - f*l + 112. What is the remainder when l is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(3\/15))\/((-66)\/(-660)). Solve c*j + 42 = 56*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146880050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 3*s**2 - 4*s**2)*(-1602 - 5*s + 4*s**2 + 1602).\nAnswer: -8*s**4 + 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8987 a factor of 1875487737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 19. Let v be 11\/22*(31 + -1). Let m be w(v). What is the common denominator of (-186)\/m*(8 - 10) and -89\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (522\/(-2262))\/((-21)\/39)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 6*a**2 - 4*a - 15. Determine k(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*(0\/3 + 4). Let m = -4.37 + 4.17. Which is the closest to m? (a) -1 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 - 314*t + 83. Let k be m(-63). Solve 0 = 5*b, 5*b = -4*d + b + k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let h(v) = 7*v. Let x(r) = h(r) - 6*k(r). Let w be (-1 - 0)*(-3 - -18). Let g be -5*3\/(w\/5). Calculate x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 74*(-6)\/3*(-84)\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 - 29*r**3 + 2*r - 48 + 89)*(3 + 1 - 2) as t*r + x*r**2 + c*r**3 + l and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-3 - (-9 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 65*h**2 + 3*h + 19. Let r = -421 - -418. What is the hundreds digit of f(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/4 - 55*c**2\/4 - 667*c\/4 + 2523\/4 = 0. What is c?\nAnswer: -29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13*i. Let h(r) = -6*r. Determine t(h(w)).\nAnswer: -78*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 1, r: 1, c: 1, e: 1}. What is prob of sequence cnj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1548.1 - -1548. Which is the nearest to -0.005? (a) g (b) 5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -848, -1755, -2722, -3767, -4908?\nAnswer: -6163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 46762.14mm?\nAnswer: 4676.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + -21?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/5 + 19032*r**3\/5 + 10089936*r**2\/5.\nAnswer: -3*r**2*(r - 6836)*(r + 492)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 + 4 = 0. Suppose 6*v = v + 30. Suppose 0 = -4*a - 2*i + d, a + v = -2*a - 3*i. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 10 = 2*j - 5*y, 4*y = -8. Suppose 4*b + j*b - 440 = -f, 4*b + 3*f = 448. Let t(z) = 2*z**2 - z. What is the remainder when b is divided by t(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0 + 0)*(-18*m**2 + 29*m**2 - 144*m**2)*(4 - 3 - 3).\nAnswer: -532*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**3 - 3*a**2. Let p(b) be the first derivative of -4*b**4 - 10*b**3\/3 - 12. What is -10*f(v) + 3*p(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from qtdtatogqgtgt.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 7*s + 2. Let m be t(-7). Let q be (2 + (-44)\/40)\/((-2)\/(-5)). Let g = -3\/2 + q. Which is the smallest value? (a) m (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 9 - (-1 + 1). Let z be ((-6)\/f)\/(2\/50). What is the highest common divisor of z and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 3*d + 2*d)*(-1 + 0 + 3 + (1 - 1 - 2)*(4 - 1 - 1) - 4 + 0 + 3).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x - 9 = -33*x. Solve -x*q + 11 = 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/60 - 18\/(-24). Put 3\/7, 4, -2\/13, u in decreasing order.\nAnswer: 4, u, 3\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h - 8. Let k(v) = -4*v + 3. Let w(u) = -8*k(u) - 3*y(u). Let g(d) be the first derivative of d**3\/3 - 2. Determine w(g(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42629154 is divided by 268.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*f = -112*f + 5761 - 23793 for f.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 9 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14177 and 0.0803373754?\nAnswer: 14176.9196626246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.788925232*-3.\nAnswer: 5.366775696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkcpcwi. Give prob of picking 1 w and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6545029?\nAnswer: 67, 97687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1998 by 1998.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + 82. Let v be (2 - 7) + 0 + 2. Let h(o) = -7*o - 4. Let n be h(v). Solve 0 = 3*w + 2*q - c, w - 3*q - n + 2 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49007 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02135, -2\/31, -1.3, 9 in ascending order.\nAnswer: -1.3, -2\/31, -0.02135, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - y + 25 = 0, -t + 2*y = y - 5. Let s(j) = -j**3 + 4*j**2 + 6*j - 3. Let g be s(t). Solve -g*h + 4*h = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14283633 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: Let y(g) be the third derivative of 0 + 4\/9*g**3 + 1\/18*g**5 - 4*g**2 + 0*g + 2\/9*g**4 + 1\/180*g**6. Find q such that y(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 749 and 81106.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3119 - 53 = 73*i. What is the highest common divisor of i and 441?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -520 + 3?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {n: 2, u: 3, x: 6, i: 2, o: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5\/5 + 6*p**4 - 36*p**3\/5 - 64*p**2\/5 = 0?\nAnswer: -16, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1800 divided by 2\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 236 - 231. Solve 6 = d + t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17032 is divided by 1135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/51*(0 - -6). Solve 2 = -2*p + j + 2*j, 0 = 2*p - z*j + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 36?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-72)\/(-342))*(6\/2)\/(15\/(-10))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -544 - -3802\/7. What is the common denominator of r and -35\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -338\/5 - -68. Let b = -6.6 + 6.8. Put b, -8\/7, m in ascending order.\nAnswer: -8\/7, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-200)\/144)\/((-47)\/(3807\/(-945))))\/((-10)\/(-18)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 20*o**2 - 25*o + 87. Let u be w(21). Let b be 3\/36*18\/(6\/u). What is the fourth smallest value in b, 0.12, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 3:50 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339 and 63393.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13428 divided by 3357.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 65.6. What is the biggest value in 0.03, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - f**2 + 28*f - 88. Let k be x(3). What is the nearest to -1 in k, -4, -1\/2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 86132343?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/5)*h\/(h\/(h*h\/h**(-3)*h))*h**(-3)\/(h*h**(3\/2)*h*h) assuming h is positive.\nAnswer: h**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 139, 275, 451?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 980415.5 litres in millilitres?\nAnswer: 980415500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 11:02 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (478*w + 509*w - 258*w)*(1 + 2 + 1) as h + f*w and give f.\nAnswer: 2916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.2 (c) -33 (d) -26 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011 + 10000010010?\nAnswer: 1101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s + 4. Let a be x(1). Suppose 3*n + 6 = 0, 2*n + a = -5*r + 5*n. What is the closest to -2\/9 in -0.5, 0.1, -8, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18253 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/16*-1 - 1. Let n = 17 + -17.49. Let l = -0.01 + n. What is the second biggest value in -5, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - (-38340)\/756) + 408\/7?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 286 - 107. Let q = -761 + j. What is the tens digit of (-2)\/3 - q\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -913, -1800, -2667, -3514, -4341, -5148?\n\"Answer: 10*z**2 - 917*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, -1, -3 in ascending order.\nAnswer: -3, -1, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 293, 589, 881, 1169, 1453, 1733, 2009?\n\"Answer: -2*s**2 + 302*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + 2 + -1 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**17*y)\/((y\/((((y*y\/y**(-2\/7))\/y)\/y)\/y))\/y))\/((y**(-3)*y)\/y**(-5\/2)))**(-1\/13) assuming y is positive.\nAnswer: y**(-235\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 10*c - 64 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11341*n**2 - 2062. Let m(s) = -6*s**2 - 1. Give -2062*m(c) + w(c).\nAnswer: 1031*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 476?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -16*b. Let l(z) = -93961*z. Determine y(l(d)).\nAnswer: 1503376*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.70051553903 - 22.\nAnswer: -24.70051553903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/2)\/(l\/(l*l**(1\/8)*l)*l) assuming l is positive.\nAnswer: l**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5361*c**6 - 157*c**5 + 5360*c**6 + 8621*c + 2*c**2 - 5*c**4 - 3*c**4 + 0*c**4 wrt c?\nAnswer: -120*c**3 - 9420*c**2 - 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -0.1, 6, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 934780*w**2 + 2929363 wrt w?\nAnswer: 1869560*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12)*(-36)\/(6\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a*i**5 + 4*a*i**3 + a + 166*i**2 wrt i?\nAnswer: -420*a*i**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22559 - 34432.\nAnswer: -56991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -220 - -372. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/60 - 2*p**3 - p**2 + 18*p. Let g(u) be the first derivative of x(u). What is the first derivative of g(t) wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 2, h: 2, o: 5, k: 8, r: 2}. What is prob of sequence worn?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-2 + 3)) + (19 - 27) + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 3*n + 27 + 58 - 63.\nAnswer: n + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1839458?\nAnswer: 2, 919729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)\/(l*l**(13\/4)))\/(l**(-20))**(3\/14))**(-40) assuming l is positive.\nAnswer: l**(-310\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + (1 + sqrt(68) + 2)*1 + -2)**2.\nAnswer: 24*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*v)*(5*v - 4*v + 0*v) - v**2 + 6*v**2 - 4*v**2 + 0*v**2 - 3*v**2 + 2*v**2 + (-108*v**2 + 242*v**2 + 100*v**2)*(0 + 0 + 1).\nAnswer: 232*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168159 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(27) - sqrt(27)))\/(-2*sqrt(9)*-2).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -651*m + 13. Let f be i(4). Let z = 3652 + f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 5 - ((5 - 8) + -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(2 - (0 + 1)). Solve -2*b = -c*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 555693951 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -4.\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 675 and 2040.\nAnswer: 91800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4016201 (base 7) to base 14\nAnswer: c5238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 - -9) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g - 23. Let f(l) = -7*l - 12. Suppose -5*u - 30 = 7*x - 12*x, -u - 2*x - 6 = 0. Determine u*q(c) + 11*f(c).\nAnswer: c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:19 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 440242736?\nAnswer: -440242731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 1206324*s**4 + 121269339066*s**3 + 242535059172*s**2 + 121266926427*s.\nAnswer: 3*s*(s + 1)**2*(s + 201053)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + m**3 - 6*m + 5*m**2 + 0*m**3. Let i(s) = 2*s**2 - 3*s. Let k(j) = -j - 44. Let l be k(-39). What is l*i(p) + 2*y(p)?\nAnswer: -2*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.69?\nAnswer: 0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -5*8\/(-40). Let j(o) = o**2 + 3*o + 4. Let n(h) = -h**2 - h - 1. Let i(f) = f**2. Let w be i(-2). Let v(m) = w*n(m) + j(m). What is v(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -27 - 8 - (1*(-21)\/7 + -23).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*d**3*t**3 + 2*d**3 + d*i**3*t**2 + 2*d*i**3 - 3*d*i**2*t**2 + 3*d*t**2 - 771388*i**3*t**3 + 35*i**3*t**2 - i wrt t?\nAnswer: 174*d**3 - 4628328*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let g = 0 - 0.2. What is the second biggest value in s, 4\/9, g?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 167198813 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:11 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528)*4)\/(3*sqrt(891) - sqrt(11) - sqrt(11)))**2.\nAnswer: 768\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103756690 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53575502 is divided by 865?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -8, -137*h + 139*h - 131*n + 538 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*i**2 - 603126*g*m - 2*g - i**2*m + 493674*i**2 + 2*i*m wrt g.\nAnswer: i**2 - 603126*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6716539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5602*h. Let o(i) = -1817*i**2. Give o(x(c)).\nAnswer: -57021828068*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 32 = -133*w + 41. Put 11, -22, w in descending order.\nAnswer: 11, w, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**2 - 4*g - 5. Let w(o) = -3*o - 6. Let z(m) = -8*j(m) + 5*w(m). Let q be z(1). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*t - 143 + 46 - 132*t - 139*t + 45 + 52.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2758746*n + 251803 wrt n?\nAnswer: -2758746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2362, 9395, 21116, 37525, 58622, 84407, 114880?\nAnswer: 150041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*q**2 - 129*q + 78*q + 51*q.\nAnswer: -169*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 3. What is the smallest common multiple of 8 and i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**3 - 2*k**2 + 2. Determine x(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 + 92290*x**2 - 425964480*x + 851559840 = 0. What is x?\nAnswer: 2, 9228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-6*sqrt(44)\/sqrt(4)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 20, -3, -2 in increasing order.\nAnswer: -9, -3, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - -193 - (2 - -1) is divided by 185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5\/2 + 9*t**4\/2 + 5049*t**3\/2 + 5007*t**2\/2 - 5031*t = 0. What is t?\nAnswer: -39, -2, 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 5*d - 10*d. Let q(t) be the second derivative of t**4\/6 + t. Calculate q(c(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 42\/15)\/(14\/(-15)). Suppose 8*p + 0*p = 80. Let n be 0\/9 - p\/2. Is o <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 0*t**4 + 3*t**4 + (-2*t - 1 + 1)*(-t + 5*t + 0*t)*(-2 + 2 + t**2).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28596928 rounded to 3 dps?\nAnswer: 0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3508 times -5\nAnswer: -17540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 580190 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 292882939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 + 2. Let g be l(0). Let v(q) = -3*q**2 + 3*q + 3. Let b be v(-3). Let d = b - -57. Solve g*p - 23 = -5*z + 7, -4*p + d = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:03 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-285*k - 246*k + 132*k)*(-2 + 0 + 0) - 1 + 3*k + 1 + (-1 - 1 + 1)*(2*k + 3 - 3))*(-k + 0 + 0) to w*k + n*k**2 + a and give n.\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -205\/47 - -1341\/329. Let y = -1\/3 - -1\/6. Sort y, i, 0.2 in increasing order.\nAnswer: i, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281 - 278. Suppose l = -w, 5 = -z + 4*w + 16. Which is the nearest to 0.1? (a) z (b) -5\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 + 26*i**2. Let j be s(0). Solve -8*v - 157 + 125 = j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 12 = -0*d + 13*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/12320 and 71\/72064.\nAnswer: 27744640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4823*r**3 + 2143*r**2 - 3869*r**3 - 3928*r**3 wrt r?\nAnswer: -17844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/3)\/((-10)\/75*5). Let t be (24\/(-20))\/(q\/(-165)). Is t > 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*q = -1, 4*m + 6 = 5*q + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6181 - 6186. What is the biggest value in r, -2\/9, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 12*w**2 + 2*w - 56. Is 31 a factor of p(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*115\/60*-1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r + 3. Let b(d) = 9*d + 16. Let j(o) = 5*o + 9. Let m(i) = -4*b(i) + 7*j(i). Give 2*m(s) + v(s).\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*q + q + 30 = 0, 4*q - 30 = -2*k. Solve -k*b - 13 - 7 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 20178002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i - 38*i + 4*d = 7, -2*i - 2*d + 36 = 0. What is the highest common factor of 21177 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59279, 59237, 59195, 59153, 59111?\n\"Answer: -42*l + 59321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8392 = -56*j + 64*j. What is the remainder when j is divided by 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.947 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 196\/(-6)*((-5)\/(-10) + -2). Let w = u + -50. Let h(y) = -13*y. Give h(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 11:59 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 3013489.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**6 - 35*y**4 + 1898*y**3 - 1609*y**2 + 7?\nAnswer: 120*y**3 - 840*y + 11388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 69*d. Let i(h) = -2*h - 13. Let n(k) = k + 6. Let o(q) = 6*i(q) + 13*n(q). Calculate y(o(r)).\nAnswer: -r**2 - 69*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -195558\/4469?\nAnswer: -195558\/4469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/312)\/((4\/18)\/(192\/1296)).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meeeeeeeeeeeeeeemee. What is prob of sequence eem?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**3\/3 + l**2 + 4*l. List the prime factors of t(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r. Let w(n) = 243 - 94 - 71 - n + 92*n**2 - 78. Calculate u(w(b)).\nAnswer: 276*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 + -1.9. Let h = 3617\/11 + -329. Which is the smallest value? (a) -6 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375973*f - 2*m = -375971*f - 14, 128*m = -2*f + 770 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9779 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28991553500 rounded to the nearest 1000000?\nAnswer: -28992000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83918098 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + (11\/(77\/315) - 18).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 410 in -0.7, 2, 0, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 + 6*j - 5. Let f = -1092 + 1087. Give s(f).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 3*b + 54. Suppose 3*f + x = 15, 5*x + 22 = 5*f - 23. Let t be m(f). Solve t = 2*v + v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -75. Let q = 32 - z. Suppose -2*g - q*f - f - 2 = 0, 2*g = 5*f + 14. Sort -3, 13, g in descending order.\nAnswer: 13, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5508 and 76321116?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/(6\/(-28)*-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -31254 > 4.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 4. Let n be r(-7). Suppose 0*z = 5*z - n. Solve 0 = -3*o - z*q - 7, -1 = -0*o + 2*o + 5*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1.3\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -147, -224573 in increasing order.\nAnswer: -224573, -147, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 126*t - 125*t - 90 = 0, a - 5*t - 6 = 0. Let l = -71 - -48. Is l at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90821783 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from qqqjjqqqqqqqqqjqqqjq.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - 3.99. Let k = 14\/9 + -16\/9. Which is the closest to 2\/5? (a) k (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 233 + 987 = 4*k, -k + 4*a + 178 = 0. Calculate the least common multiple of k and 8.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33121211 + 12211?\nAnswer: -33103000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1417890 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(304)*4*-4 + sqrt(304))*-6 + 3) + -4)*-1*4)**2.\nAnswer: 737280*sqrt(19) + 630378496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 305*a**2*i - 4*a**2 + 580*a*i - 106*a + 49 wrt i?\nAnswer: 305*a**2 + 580*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + w + 1)*(15*w + 7*w - 8*w - w**3).\nAnswer: -w**4 + 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 548*n + 88463. Calculate m(114).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9555087 millennia to decades.\nAnswer: 95.55087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 138662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.2079*0.13.\nAnswer: -0.547027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -11.6. Let k = -0.5 + f. Let z = k - -0.9. Which is the second biggest value? (a) 2\/7 (b) z (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1842 + 228 + 29*t + 1614.\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5088160769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8. Solve -v + 0*m + 7 = -m, 4*m + 8 = r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*b - 30. Let n(k) = 3*k. Let m(d) = 10*d - 1. Let l(f) = -4*m(f) + 11*n(f). Let q(y) = -8*y + 5. What is b*q(j) - 6*l(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4763991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/242168205 and 85\/846.\nAnswer: 1453009230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 637780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 382558\/91 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 2. Suppose -5*a = -0 + 10. Let l be a - -6 - (-1 + -11). Let p be 2*(-4)\/(l\/(-6)). Calculate x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w - 4*t = -12, -8 = -3*w - 2*t. Sort w, -4, -0.02 in decreasing order.\nAnswer: w, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = w - 10. Let j = 42 - w. Let m = j + -5. Solve 9 = 3*s - 3*p, m = -5*s + p + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m + 90 + 29*m + m**2 - 19*m. List the prime factors of c(-34).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10043689 rounded to the nearest 10000?\nAnswer: -10040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*y - 143*y - 386 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80 (base 15) to base 6.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.3 (b) -2 (c) 2.3 (d) 1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 v when three letters picked without replacement from {z: 3, y: 15, v: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-42))\/(3\/2)*(-41)\/(7175\/(-70)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -207816811.\nAnswer: 103908405.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**3\/3 + 7*u**2 + 17*u + 4. Let g be w(-13). Factor -1\/2*j**g + 0*j + 0 + 1\/2*j**2 + 0*j**3.\nAnswer: -j**2*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:23 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 12:40 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2112*d - 561801. What is n(-266)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 - 0.405.\nAnswer: 34.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*i**3*p**2*q + 78272*i**3*p**2 - 8*i**3*p*q - 512*i**3*p + 142*i**3*q + 3*p*q wrt p.\nAnswer: 146*i**3*q + 156544*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6214.541 + 6219. Let u = r - 4.85899. Let g = u + 0.4. Round g to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 - c - 4. Let l(w) = -w**2 + 1. Let f(t) = -9*l(t) - 2*r(t). Suppose -2*u - 2 = n, -5*u - n = -4 + 3. Determine f(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076 a factor of 193400240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (9 - -21 - 10)) + (-6 - -2) - -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 134643, 540016, 1215637, 2161506?\n\"Answer: 135124*v**2 + v - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/16*1\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**2 + 2*t**2 - t**2)*(25*t**2 + 0 - 18*t**2 + 3) as g*t**4 + k*t**3 + a*t + r*t**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51917937?\nAnswer: 3, 19, 47939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 + -17320?\nAnswer: -17373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/210*-7)\/(30\/16)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 127 = -102 - 169 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*8\/(160\/30))\/(-1))\/((-1)\/(-42))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-18)\/v)\/((v**(2\/17)*v)\/v) assuming v is positive.\nAnswer: v**(-325\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4426*m + s - 31 = 4430*m, -4*s + 5 = m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times -79?\nAnswer: 22.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {h: 1, k: 3, g: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 5. Let s(c) = 8*c - 46. Let q(p) = -9*i(p) - s(p). Let h(b) = -4*b**3 - 2*b - 1. Let v be h(-1). Determine q(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 9) in base 11?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1725892558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 329151 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: -37.096552*0.6\nAnswer: -22.2579312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(243\/(209952\/(-192))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3314 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*u - 29 - 93 + 210 as q + h*u and give q.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((w\/(w\/w**(-1\/3)))\/w))\/w)\/w*w)**(-16\/3)\/(w\/((w\/w**0*w*w)\/w))**(3\/5))\/(((w*w**(-2\/5)*w)\/w)\/(w\/w**8)*(w**(-2))**(2\/81)) assuming w is positive.\nAnswer: w**(-1139\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:42 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6519)\/(-21) + (36\/14)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5 + 342*n**4 - 4664*n**3 + 21856*n**2 - 41088*n + 23552.\nAnswer: 2*(n - 4)**3*(n - 1)*(n + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (11 - 16 - 34)*(1 + 2 - 1) + (2 + 1 - 2)*(3 + 1 - 2))*(-4*a**2 - 2*a**2 + 4*a**2).\nAnswer: 150*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l - 4. Calculate x(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = -121*i - 386 - 1688 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023193133 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30302 + 3222?\nAnswer: -23040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19979107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 613*l**4 + 1643*l**4 - 15865*l**2 + 15865*l**2 + l**4 - 4*l**4 + 4*l**4 + (l**2 - l**2 + 2*l**2)*(-2*l**2 + 6*l**2 - 2*l**2).\nAnswer: 2261*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -65.51 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 5. Let u(t) = t + 12. Let v be u(-10). Let x be (-2 + (1 - 0))*-4. Let a = v + x. Calculate g(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, 3, -2\/3, -3, -2\/5.\nAnswer: -3, -2\/3, -2\/5, 1\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76170 is divided by 886?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 0*r**4 + r**4 + (-12*r**2 + 2*r**2 - 6*r**2)*(6*r**2 + 179*r - 179*r).\nAnswer: -94*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-104)\/(-28) + (-2)\/(-7). Let a(k) = k**3 - 3*k**2 + 3*k + 9. Let j be a(r). Solve -w + 5*w + 35 = -5*d, -j = 4*d + 5*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 45 = -5*f, 3*f - 5*f - 14 = -t. Suppose 209*v + t = 211*v. What is the remainder when 56 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + 10. Suppose -j*z = -z + 44. Let v = 10 + z. Let t(f) = 10*f**3 + f**2 + f + 1. Give t(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -274290*o**2*x + 145*o + 856*x wrt o?\nAnswer: -548580*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2. Let m(g) = g + 113. Let c be m(0). Suppose -4*f = 4, 3*h + 2*h - 5*f - 15 = 0. Let p(z) = -7*z**h - c*z + 113*z. Determine o(p(i)).\nAnswer: 98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, t: 1, n: 2, p: 3, e: 7, a: 1}. Give prob of picking 1 a and 2 n.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 8*x + 4. Let n be d(12). Let k be 8\/n + ((-4)\/(-22))\/1. Solve 5*f = 2*v - 8, 2 = f - 4*v - k*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, i: 1}. What is prob of picking 1 i and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j**(-4\/7))**15 assuming j is positive.\nAnswer: j**(-255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -278*v**3 + 276*v**3 + v + 8 - v as b*v**3 + z*v**2 + w*v + r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let a(m) = 919*m + 5. Let p(n) = -913944*n - 4972. Let g(y) = -9944*a(y) - 10*p(y). Calculate g(r(h)).\nAnswer: 1808*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/99*(-759)\/(-276)*(-76)\/(-10)*-1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345354304 (base 6) in base 9?\nAnswer: 13068204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 383158, 383173, 383178, 383167, 383134, 383073, 382978?\n\"Answer: -f**3 + f**2 + 19*f + 383139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(4\/9)*t\/t**(-2))**(2\/27))**(-2\/53))**(-22) assuming t is positive.\nAnswer: t**(2728\/12879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 4.767 and 39\/575 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 65\/(-1) - (((-3)\/15 - (-6723)\/415) + -19)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.358287?\nAnswer: 0.1074861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69.39 and -837.\nAnswer: -906.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 - 206. Solve 7*r - 4 = f*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = 2*t. Suppose -t*s = 7 - 37. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*p**2)*(-81*p**2 + 305*p**2 + 219*p**2) to o*p + m*p**4 + d + f*p**3 + l*p**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -838 by -3.\nAnswer: 838\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let y(t) be the second derivative of 5*t**4 - t**3\/3 + 6*t - 1. Give y(i(m)).\nAnswer: 240*m**4 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.3 + -0.7. Let g = l - -10. Is 2\/13 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/40 + y**5\/15 + y**4\/6 - 5*y**3\/6 + y**2 + 15. Let j(b) = -2*b**3 - 3*b**2 - 3*b + 4. Give -3*i(c) - 4*j(c).\nAnswer: -c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 47. Let z = 34.3 + k. Round z to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 - 1996*r**2 - 4004*r - 2004 = 0. Calculate r.\nAnswer: -1, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52909716?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2*r + 515*r**3 - 569*r**3.\nAnswer: -54*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662704 to the power of 1\/2, to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6857 - 0.54.\nAnswer: 6856.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 939428.3 centuries in months?\nAnswer: 1127313960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -2.52?\nAnswer: 20.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n - 2. Let l be g(6). Suppose -5*k + 4*x + 110 = 0, 2*x - l = -4*k - 2*x. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from {w: 2, q: 4, h: 7, g: 4, o: 1}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-135) - (-3367)\/(-24570).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*m - 90*m = 36. Suppose p + m*s = 10*s + 5, p + 3*s = 6. Suppose -p*h + 628 = h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.4 + 46.4. Which is the third smallest value? (a) x (b) 0.2 (c) 4\/3 (d) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u**2 - 21*u + 11. Let y be i(1). Let k(n) be the third derivative of -n**6\/120 + 7*n**5\/60 - n**4\/8 - n**3\/2 - 6*n**2. Give k(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 170*x + 92. Calculate n(33).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 1753*i**2 - 4 - 14*i - 1529*i**2 + 902*i**2 + 3 wrt i?\nAnswer: -4760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2298 - 1803. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 3*n**2 + 4*n**2 - 4 - 500*n + 498*n to h + f*n + z*n**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 57602?\nAnswer: 11520.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17877419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -17*x**3 - 171*x**2 + 59*x + 600. Determine h(-10).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + 1. Suppose -b = -2*t - 3. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 - -57. Let a = 94 + k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -742 divided by 3?\nAnswer: -742\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**6\/480 + o**5\/24 + 9*o**4\/32 + 3*o**3\/4 + 26*o**2 + 163*o. Let p(r) be the first derivative of j(r). Factor p(f).\nAnswer: (f + 1)*(f + 3)*(f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1207490.\nAnswer: 3\/1207490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23*z + 52. What is the hundreds digit of d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3665 and -2281.\nAnswer: 8359865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000108129936 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + l + 0*l)*(89 - 25 + 498) as w*l + u and give w.\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 4. Let g be z(0). Suppose 6 - 14 = -2*u. Suppose 5*t = -u + 29. Solve 9 = -4*p - t*w, 2*p = -p - w - g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -312 or -265?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-806)\/620*-5?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39399 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 185 = -c, 3*c - 174 = 5*j + 361. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 892535 and 735.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -8, 2, 5\/4, 38?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -78098*f + 780979. Give m(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -2022?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2088 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 1461.\nAnswer: 34\/1461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:11 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1))**30*m**5\/(m**(-2\/11)\/m*m*m) assuming m is positive.\nAnswer: m**(706\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*i - 5*h, 0 = 3*i + 5*h. Suppose -2*w = -2*v - i*v + 70, -w - 2 = 0. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -31*j**6\/30 - 25*j**4\/6 + 1096*j**2 + 456*j. What is the derivative of z(d) wrt d?\nAnswer: -124*d**3 - 100*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -l + 4*i + 8, -5*i + 51 = l. Let u = 36 - l. Let r = -174 + 2260\/13. What is the biggest value in u, 4, r, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/10)\/((-1)\/(-1)). Let p = -0.221 + -0.079. Which is the third smallest value? (a) p (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4097, 4081, 4067, 4061, 4069, 4097, 4151, 4237?\n\"Answer: y**3 - 5*y**2 - 8*y + 4109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -37, -77, -131, -199, -281, -377?\n\"Answer: -7*f**2 - 5*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5474 divided by 119\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5\/7 + 30*h**4 - 2592*h**3\/7 - 4372*h**2\/7 - 108*h\/7 + 1458\/7 = 0 for h.\nAnswer: -1, 1\/2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 11588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264621 + -264620.99600031. Let z = -0.244 + 0.248. Let k = m - z. Round k to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -7. Let r = 3 - g. Is 16 a factor of r\/(-3) + (-148)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + -65?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12 + 43*i**3 - 20*i**3 - 12*i**3 - 10*i**3 - 13*i**2 + 42*i. Let o be b(7). Which is greater: 8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197415015 to the power of 1\/2, to the nearest integer?\nAnswer: 14050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -31*l + 27*l + 94, 78*p - 80*p + 120 = 5*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170 + 255. Suppose -4*u = 9 - b. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4\/3 + 10839*l. Let k(d) = -29*d. Let w(y) = 2640*y. Let c(b) = -363*k(b) - 4*w(b). What is t(c(q))?\nAnswer: -4356*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i = -3709716 + 1308866. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -213*f**2 + 2*f - 2. Let j(t) = -49383*t**2 + 465*t - 465. Let q(r) = -4*j(r) + 930*k(r). Let v(u) = -3*u**2. Give q(v(p)).\nAnswer: -5022*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let u be 21\/(-12) - (6 + -8). What is the nearest to u in -0.2, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 10*v**2 - 15*v - 22. What is the remainder when 158 is divided by g(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxv. What is prob of picking 2 x and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33930 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-18) - (-2130)\/(-27). Let u = s + 110. Let f = -26 + u. Solve 0 = f*k - 7 + 27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21360539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.11, 3, 2, -1297.7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 13 = 1725*u - 1723*u, 5*u - 23 = 3*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 7) to base 2\nAnswer: -111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*10\/(-4)*402015\/(-53602).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100010 (base 2) to base 13.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 15, 29, 59, 111, 191?\n\"Answer: b**3 - b**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4149860112?\nAnswer: 2, 3, 47, 103, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 + 73 = 5*x - 5*y + 99, 21 = -3*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 10:55 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, n: 4, g: 2, c: 2, w: 6, d: 4}. What is prob of picking 1 x and 2 n?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g + g**2 - 18 - 14 + 25. Let j be r(7). Suppose -6*t + j = -11. Solve 0 = t*x - 5*f + 20, -5*x + 5*f - 22 + 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 + 2) - (-2 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 5*i - 8. Let u be t(6). What is the nearest to -2\/5 in -5, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20450844326.7106 take away 4?\nAnswer: -20450844330.7106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7949618*z**4 + 487*z**2 - 1943 wrt z?\nAnswer: -190790832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 4 - 4 + (3*c - 4*c + 3*c)*(-2*c + 2*c - 2*c) + 2 - 2*c**2 - 2 as s*c + w + q*c**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81609\/365 - 220\/73. Let f = l - -226. Which is the nearest to 2\/7? (a) -0.4 (b) -2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjb when three letters picked without replacement from {b: 2, l: 1, s: 4, j: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d - 4. Let s be t(-4). Let b = s + 2. What is the remainder when b is divided by 0 + (12\/(-3) - -22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.4, 4.48.\nAnswer: -0.2, 0.4, 4.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3026, 8063.\nAnswer: -3026, -1, 8063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/24*4 - 59*-53.\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 72. What is t(15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -544*q + 2424. What is the lowest common multiple of 120 and u(3)?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 16. Let n(b) = -b - 1. Let s(i) = a(i) - 2*n(i). Let u be s(-6). Solve t = -0*t - u, -3*t = -x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-12)\/(-6)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:11 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83842 divided by 514.\nAnswer: 41921\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z + 20. Let f = 18 - 11. What is the least common multiple of f and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 731862.3063 + -731903. Let v = l - 94.3036. Let g = 135 + v. What is g rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133012 - -1?\nAnswer: 133013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2902\/(-1320) + 2 + (-10392)\/(-57156)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*(-1 - -1). Suppose 0 = -r*j + 7*j - 98. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 74. Let a be ((-12)\/(-9)*u)\/((-3)\/12). Suppose -3*c + 89 = k, 9*k - 12*k + a = 2*c. What is the remainder when 57 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 13*v**2 - 12*v - 3. Let q be j(-12). Let w be 4\/(-2) + (-1 - q). Suppose s + 3*s - 460 = w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61, 116, 169, 220, 269, 316, 361?\n\"Answer: -y**2 + 58*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3824222, -3824271, -3824320, -3824369, -3824418, -3824467?\nAnswer: -3824516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336*(-51)\/(-612)*(-4)\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 900958 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15227375 and 18275.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40814069\/2694 - -15150. Find the common denominator of 113\/6 and d.\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - -0.076. Let a = 1.708633 - 1.6826. Let b = a - p. What is b rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-42)\/y)\/y**(3\/4))**(-3\/5) assuming y is positive.\nAnswer: y**(513\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214617 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-294)*-4)\/((-72)\/(-42))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5282*l. Let x(m) = -11 - 2 + 2*m + 22 - 9. What is x(f(k))?\nAnswer: 10564*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0*i**3 + 0*i**5 - 3*i - 1\/2*i**2 + 0*i**4 - 1\/15*i**6 + 0. What is the derivative of a(h) wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185385 is divided by 45681.\nAnswer: 2661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 10) in base 15?\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1464.\nAnswer: -1\/732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11148 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-274*(-3)\/(-12))\/(5\/(-310))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 873\/2328 - 35\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8999316 is divided by 74994.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1247 and 14022486.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4062 = 70*p + 5246 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s*s**(-8)*s*s**(8\/5)\/(s**(2\/5)\/s))**(-23\/5) assuming s is positive.\nAnswer: s**(897\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - j**2 - 733*j - 8. Let p(l) = -2*l**3 - 2*l**2 - 746*l - 10. Determine -5*b(x) + 4*p(x).\nAnswer: 2*x**3 - 3*x**2 + 681*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4 + -3 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 540 = -3*n. Let v be 9 + 2\/((-28)\/(-210)). What is the highest common divisor of v and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -68177*z**2 - z - 21. Let s(h) = -h. Calculate u(s(w)).\nAnswer: -68177*w**2 + w - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11875\/18 + -1319\/2. What is the third smallest value in -6, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -26. Let q be f\/(-9) - (1 - 0). Suppose q = 8*u - 6*u - 70. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b*b**(1\/4))**22\/((((b**(-1)\/b)\/b*b)\/b)**(1\/7)*b**(-1\/7)*b\/(b*b*b\/(b**6*b*b))) assuming b is positive.\nAnswer: b**(-923\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7.1. Which is the second smallest value? (a) s (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 264, -676, -1614, -2550?\n\"Answer: p**2 - 943*p + 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4466 and 60.\nAnswer: 133980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.1, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -503 (base 7) to base 8.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(19) + sqrt(19) + -1 + sqrt(19) + 0)*-1*3)**2 + 1.\nAnswer: 1728*sqrt(19) + 25201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47969.42 years in millennia?\nAnswer: 47.96942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9eec0 - -5?\nAnswer: -9eebb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -429*f**3 - 2*f**2 + 5*f - 3. Let c be d(1). What are the prime factors of (28\/(-2))\/(-12 + (-5126)\/c)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 + -0.384.\nAnswer: -0.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + 0 + 6 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41027c (base 13) in base 10?\nAnswer: 1514174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20811.\nAnswer: 3, 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1210338949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let s(b) = 59 + 3*b + 62 - 196 + 65. Let w(v) = r(v) - s(v). What is w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3078, 5, -3 in decreasing order.\nAnswer: 5, -3, -3078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31704177\/24 - (-51)\/(-136) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-28) + 17\/7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -6*o + 4, -y + o + 5 = 0. Suppose 0 = 5*a - 4*k - y - 6, 0 = -k - 5. Sort 10, 1, a.\nAnswer: a, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -926, -3100, -7340, -14336, -24778, -39356, -58760?\nAnswer: -83680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1 + -2 - -1*(sqrt(17) + (sqrt(68)\/sqrt(4) - sqrt(17)))**2 - 3*-2*(sqrt(17) + sqrt(68) + sqrt(17))**2*2.\nAnswer: sqrt(17) + 3279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 20*k**2 - 25*k + 61. Determine j(21).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4287467 or -4287525?\nAnswer: -4287467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1615934?\nAnswer: 2, 23, 35129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 63. Let i = 9 + -14. What is the closest to 0.2 in 1, i, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 3. Let n(h) = -5*h**2 - h - 4. Let z(i) = i**2 + 1. Let d(u) = a*z(u) + n(u). What is the second derivative of d(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -2*k + 165*t - 176*t, 13*t - 30*t - 111 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/60 + t**4\/8 + 2*t**3\/3 + 9*t**2. Let g be q(-3). Solve -g*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 10*c + 4. Let i = -7 + 27. Suppose -g - g + i = 0. Let q be a(g). Solve -3*y - 5 = f, 3*f - q*y - y = 27 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q - 48 = j + 115*q - 59*q, 2*j + 12*q = 192 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4351b (base 12) to base 5.\nAnswer: -10320441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h - 15. Let f = -1 - h. Suppose -f*s = -k - 4*k + 19, 9 = 4*k + 3*s. Solve -3*r - k = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76)*-2 + sqrt(76) - sqrt(76))*5)\/(sqrt(192)\/sqrt(3)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1352404, 1352397, 1352390, 1352383, 1352376?\n\"Answer: -7*j + 1352411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1477989830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -374 + 374. Which is the closest to 0? (a) 4 (b) -2 (c) i (d) -188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688 (base 10) in base 14?\nAnswer: -888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -286*f - 50. Let y(l) = l**2. Give y(r(b)).\nAnswer: 81796*b**2 + 28600*b + 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1922*o**4 + 15*o**3 + 839*o**2 + 207256*o + 734 wrt o?\nAnswer: -23064*o**2 + 90*o + 1678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = d - 276, -4*d = 3*b - b - 1084. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -455.9 to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*k = 3*r + 1729990, -2*r = -k - 3460005. Round r to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7562 or -6221?\nAnswer: -7562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**2 + 34*c - 7. Give b(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/9)\/(6\/(-27)). What is the units digit of 1 + 4\/v + 263\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.71 times 450?\nAnswer: 16519.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -17*k**3 + 13*k**2 + 15*k - 15. Let s(n) be the first derivative of -2*n**4 + 2*n**3 + 7\/2*n**2 - 7*n - 1. Let v = 18 - 5. Determine v*s(g) - 6*p(g).\nAnswer: -2*g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238826471.\nAnswer: 13, 379, 48473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.50834439.\nAnswer: -1.52503317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2023237907+0.5\nAnswer: -2023237906.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**3 + 46*t**2 + 88*t + 46. List the prime factors of p(-16).\nAnswer: 2, 5, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.091028+-315045015\nAnswer: -315045015.091028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234 - -230. Let r(m) = -5*m**3 + 32*m**2 + 2*m + 28. Let t(c) = 3*c**3 - 16*c**2 - c - 13. Let o(g) = w*r(g) - 7*t(g). What is o(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 4*s + 48048 = -5*v, 4*v - s = 48033. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -194, -188, -180, -170, -158, -144?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/10)\/3)\/(10*(-9)\/3600)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2079\/44*(-4992)\/2912.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2699272294.\nAnswer: 2, 109, 12381983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*z + 300, 3*z - 8 = -z. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 0 + 0 + l + 0*l - 4*l - 2*l + l - l + (3*l + 0*l - 5*l)*(-2 + 3 + 1) + 10 - 10 - 2*l - 3*l + 5*l + 0*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9923*j**3 - 121*j**2 - 4208*j. Let w(q) = 3308*q**3 - 44*q**2 - 1403*q. Let c(x) = -11*w(x) + 4*y(x). Find the second derivative of c(t) wrt t.\nAnswer: 19824*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - b. Let p(s) = -58*s. Give t(p(h)).\nAnswer: -3364*h**2 + 58*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 2. Let c be z(3). Let g(l) = -14*l - 108. Let s(x) = 4*x + 30. Let o(k) = -5*g(k) - 18*s(k). What is o(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 46*r + 1685. Let q be k(24). Let b(s) be the first derivative of -4\/3*s**2 + 7\/18*s**4 + 2\/3*s**3 + q - 8\/9*s. Factor b(u).\nAnswer: 2*(u - 1)*(u + 2)*(7*u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9\/a)\/a**(-7)*a**(2\/23)*a**(5\/4) assuming a is positive.\nAnswer: a**(1503\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**2 + z + 34. Let h(f) = f - 2. Let o be h(0). Calculate t(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5)*-2*60. Let h be (-2)\/(-6) + 11152\/k. Suppose 5*w + 6065 - h = 0. Round w to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(((a**5*a)\/a)\/a))*a**(1\/4))\/((a*a**12\/a)\/a*a**(-3)\/a) assuming a is positive.\nAnswer: a**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 5 + 0*u - 2 + 5*u**2 + u**3. Let y be m(-6). Let n(p) = 2*p + 19. Let t be n(-9). Put t, y, 0 in decreasing order.\nAnswer: t, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) + (-60)\/(-16). Suppose 3*h + l*g - 26 = 5*g, -3*h = g - 22. What is the highest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -958*1\/4*(10 + -12).\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*b = -0 - 9, 39 = -4*l + 5*b. Let h be (4\/(-5))\/(l\/(-15)). Let t be -3 - (-3)\/(-3 + 0). Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 917765159 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59 and -29622?\nAnswer: 1747698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -30, -19*o = -22*o + s + 19. Factor -33\/8*k - 9\/2 - 5\/4*k**2 - 1\/8*k**o.\nAnswer: -(k + 3)**2*(k + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -407\/6. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 22*g - 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 24*a + 1. Let n(u) = 8*u**2 - 96*u - 4. Let x(y) = -4*b(y) - n(y). Let q(v) = -v**2 + 43. Calculate q(x(l)).\nAnswer: -64*l**4 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + k - 2. Determine y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973864787?\nAnswer: 7, 271, 513371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949185 a multiple of 359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/7, -1, -9, 1\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 2, q: 1, z: 3, l: 2, o: 3}. Give prob of sequence loq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*a = -80*a + 122*a - 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*v + 7*v. Find the second derivative of 10*h - 2*h + 0*h**2 + v*h**2 + h wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -0.18. Let x = s - -0.307. Round x to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1464.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-1 + (sqrt(5) + 0)*-2)**2 + 3.\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119109*b**2 + 4 - 6 + 10047*b**2.\nAnswer: 129156*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 0, -8*x = -6*x - s - 6. Suppose -2*z - 3*z - 25 = -x*y, z - 3 = -y. Suppose -5*a = -7 + 2. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let c(s) = -10*s + 3*s**d + 10*s. Let i(l) be the first derivative of 5*l**3\/3 + 40. Calculate c(i(r)).\nAnswer: 75*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 4, r: 2}. Give prob of sequence zdrd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -q - 1 + 16, -q = -4*x + 17. Solve x*d - 27 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 758252 or 758250?\nAnswer: 758250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.9 - -0.6. Let s = 6 + h. Which is the smallest value? (a) s (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16476 divided by 4?\nAnswer: -4119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + 2*sqrt(1331))*2 + 4 + 0 + sqrt(1331) + sqrt(1331) + (-2*sqrt(1331) - sqrt(1331)) + sqrt(1331))**2.\nAnswer: -88*sqrt(11) + 21297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 - 6*z**2 - 6*z - 6. Let s(a) = -a**3 + a**2 + a + 1. Suppose i + i - 2 = 0. Give i*l(j) + 6*s(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10053, 20079, 30091, 40083, 50049, 59983?\nAnswer: 69879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792143957?\nAnswer: 2792143957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(24\/(-198))\/(-4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/35)*b**(-26\/5)*b**(-10\/3)*b*b**25\/b assuming b is positive.\nAnswer: b**(347\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*u - 39, -659*x + 12 = -657*x. Solve -2*y + 5 = -l + y, u*y = l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -34*j + 58. Calculate the smallest common multiple of 15 and u(1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + j + 314 = 3*t, -j + 1 = 0. Let x = t - 62. Solve b + 7 = -4*w, 0*b + 2*b - x = -3*w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine quarters of a kilometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2. Let o = 8 + -4. Let u(v) = -2*v + 5*v + o*v - 5*v. Determine u(a(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1158 = 5*x, 3*t = -4*x + 517 + 351. Which is bigger: 293 or t?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqfkqid. What is prob of sequence ifq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -2721, -8833, -20673, -40149, -69169, -109641?\nAnswer: -163473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -0.012, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*c + 5 - 8 + 3 - 72*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17229 = -14*j + 18877. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/25 - 72\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 46 (b) 3 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehkiceceeicchej. What is prob of sequence jeec?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058398555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) -0.4 (c) 4 (d) 0 (e) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -470 - -476. Let u = 0 + -7. What is the remainder when (u + 8)\/(1\/9) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 39 = -246. Is (-2)\/(-2)*-1 + c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5530\/19908)\/((-50)\/24)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*3)\/sqrt(4) + -4.\nAnswer: -4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2 = -3*o. Let d(n) = 615*n - 4. Is d(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/8)\/r**(-2\/9))\/(r\/(r*(r\/(r**(1\/23)*r))\/r)*r**(-13)\/r) assuming r is positive.\nAnswer: r**(22859\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3957? (a) 0.4 (b) -1 (c) 0.5 (d) 13 (e) 93 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-193)\/(-5) - (108\/30 - 4). Let p = 76 - l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202 and 1515.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + q**3 + 0*q**3)*(q + 0*q + 4*q) - 2*q**4 + 0*q**4 + q**4 + (-2*q + 3*q + q)*(4*q**2 - 4*q**2 - 2*q**3).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 + -105. Let o = 91 - t. Let s be o + (1*-1 - (4 - 9)). Let q(k) = -k**2 + 2*k - 1. What is q(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2232927 is divided by 395?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 5*o**2 - 8*o - 3. Let g be s(-6). What is the units digit of g*(14\/(-6) - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24485 and 3993130.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4, -113326, -5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(117) + 5 + 4.\nAnswer: 8 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2867 divide 1790312249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 16\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q + 32. Determine v(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -592340538*b*i**3 + 431536147*i**3 with respect to b.\nAnswer: -592340538*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oox when three letters picked without replacement from {z: 3, o: 2, x: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 147 = -2*x, 4*x + 0*x + 5*z + 239 = 0. Does 11 divide (x\/4)\/(9\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/28 - 40\/7. What is the units digit of ((-34)\/10)\/(d\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u*u**(-5\/6)\/u)**0*u*u*u**(3\/8)*u*u*u*u*u*u**6*(u\/u**(-5\/3))\/u*u**(1\/6) assuming u is positive.\nAnswer: u**(365\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146634155 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: What is the next term in 837, 836, 835?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-110)\/(-30) - 4\/6. Suppose 0 = 2*g - r*g + 78. Suppose -277 = -b - g. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3930 - 3929.6. Let n(k) = -k**3 + 3*k**2 - 2. Let w be n(2). Sort p, -0.3, w in increasing order.\nAnswer: -0.3, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*x - 17, 28 = 28*t - 29*t - 3*x. Let i = 1 - -3. Solve 0 = -5*g + t*w - 20, i*w + 11 - 27 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317665 is divided by 7180?\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6649992.\nAnswer: 2, 3, 17, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/5 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 3\/4, -3, -0.1, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873317174.\nAnswer: 2, 59, 7400993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3680 = 5407*q - 1727*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -993, -1069, -1239, -1515, -1909, -2433, -3099?\nAnswer: -3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1457, -52.\nAnswer: -52, 0, 1457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 51. Let g = -0.2 + -0.2. What is the nearest to -1\/2 in 0.1, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 304*s - 628. What is the remainder when 932 is divided by r(3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184059859*j**5 - 372*j**2 + 147879*j?\nAnswer: -11043591540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40042 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7628\/345 or 23?\nAnswer: 7628\/345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let f(x) = 4*x**2 - 12*x + 12. Suppose -5*w - y - 64 = y, 14 = -2*w + 5*y. What is w*z(r) + f(r)?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j + 22. Let l(x) = x - 1. Give -h(o) - 6*l(o).\nAnswer: 2*o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 100 = 3*c, -c = f - 24. Let r = -2622 - -2650. Do f and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k - 5. Let b(w) = 5*w + 4. Suppose -o + 2*o + 2*v = 3, -7 = 3*o + 2*v. Let z(j) = o*b(j) - 4*t(j). Let i(q) = -q + 3*q + 2*q. Give i(z(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 23*n**5\/30 - 75*n**2 - 9*n. Let a(m) = 7*m**2. Calculate a(o(q)).\nAnswer: 14812*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 576303.2 millennia in decades?\nAnswer: 57630320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:38 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 3*y + 2838 = 0. List the prime factors of y.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttootoottttotttt. What is prob of sequence tot?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, h: 5}. What is prob of picking 2 e?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00064311909 rounded to 5 dps?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67893 and 314979.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2077 divided by 316.\nAnswer: -2077\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 568158 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 4*n**2 - 5*n - 2. Suppose 5*s + 25 = 2*g + g, -4*s = g + 20. Let m be t(s). Calculate the lowest common multiple of 7 and (m - -3) + 2\/1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**3 + 7*r**2 + 4. Let q(i) = 3*i**3 - 6*i**2 + i - 4. Let b(j) = -3*q(j) - 2*v(j). Calculate the remainder when 18 is divided by b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**4\/12 + l**3 - l**2. Let v be d(5). Suppose -f - 4*f - 3 = a, 4*f + 3*a - 2 = 0. Sort -5, f, v.\nAnswer: -5, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 a factor of 61300239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 28. What is the second derivative of t*c + 7*c**4 + c**4 - 12*c wrt c?\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445112?\nAnswer: 2, 3, 20071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + (-66 - -73).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 24 = -b. Let h(j) = -6*j + 1 - 8 + 9 + b + j**2. Let l be h(7). Solve -3*p = -0*p + l, 4*m = -5*p - 29 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-520)*8\/(-3) + 364\/(-30)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + 0*g + 0*g + 2*g - 6*g + 3*g + (-2*g + 2*g + g)*(-1 + 0 + 3) + 2*g + 2 - 2 - 420334 - 16*g + 420334.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 11 - 89*o**2 + 15 - 16*o**2.\nAnswer: -105*o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0*y - 17\/6*y**3 + 0 - 5*y**2 + 1\/24*y**4. Let x be l(17). Solve -4*n + 2*n = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*-1*(77 - 6). Is -4 + n\/(-5) + (0 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(76))**2*1 + sqrt(304) + 0) + -2*3*((sqrt(19) - ((-1*sqrt(304))**2 - sqrt(19))) + sqrt(19) - sqrt(19)).\nAnswer: -36*sqrt(19) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4500.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 90*c + 53 - 120.\nAnswer: -90*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*g = 3*h - 90, -3*g = -5*h + 119. Solve 17 - h = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 - 316\/(-36). Suppose 5*v = m*v. Solve 0 = -n + 2*g - 8, -4*g - 2 + 18 = v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*b + 142 = 438 - 3013 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1004\/129 - 220\/43. Factor -6\/5*d**3 + 4\/15 - 26\/15*d + v*d**2.\nAnswer: -2*(d - 1)**2*(9*d - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12417582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -3 + -2 + 0. Let j be 5\/10 + (-159)\/a. Let n(d) = -2*d**3 - 6*d**2 - d - 4. Let m be n(-4). Calculate the greatest common factor of m and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i + 50. Calculate f(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 10:16 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6174455 is divided by 40.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 562, 0.061, -114, 12?\nAnswer: 562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147985952*n**3 + 412335985*n**2 wrt n.\nAnswer: 887915712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 3*k**2 - 3*k + 1. Let m be g(4). What is the common denominator of (-2)\/m + 204\/(-20) and 56\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*(-71)\/((-6603)\/(-4))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*276\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30\/16*(-3102)\/2585\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -650*x + 14213. Calculate d(22).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1)**29\/(z*z**(3\/4)*(z**(-1\/3)\/z)\/z))\/((z**(-2\/3))**(-2\/11)\/(z*z*z**(-2\/7)*z*z*z**(3\/5))) assuming z is positive.\nAnswer: z**(22067\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1272852*r*t - 23*r + 167*t + 11336565 wrt t.\nAnswer: -1272852*r + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 + 12 = 0. Let j = 10 - 7. Factor 4*g + 2*g**j + t*g**2 - 4*g.\nAnswer: 2*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -5, -25 in increasing order.\nAnswer: -25, -22, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1656 and 11215584.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5 + sqrt(4)\/((sqrt(6)*2 + sqrt(6))\/sqrt(3)))**2 + (-2*sqrt(98) + 4 + -3)**2).\nAnswer: -94*sqrt(2)\/3 + 3764\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-14) - 10\/4. Let b(j) = -4*j**3 - 3*j**2 + 1. Let y(g) = -8*g**3 - 5*g**2 + 2. Let r(u) = m*y(u) + 5*b(u). What is the derivative of r(t) wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -5 (b) -102 (c) 1 (d) 0.05 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54485 divided by -1.\nAnswer: 54485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4 - 4 - g. Suppose 5*x = -5, -5*u = -4*x + 14 + 2. Let t be 4\/2*6\/u. Calculate s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from ziirrirzrrzggirrrir.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/19080 + 99641\/19080. Determine q so that p*q + 1\/9*q**2 - 16\/3 = 0.\nAnswer: -48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 11*u**3 + 44*u**2 - 13*u - 7. Give n(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400825?\nAnswer: 5, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - b**2 - 136172*b + 136172*b.\nAnswer: -b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1\/(-3)) + 252\/(-98). Which is the closest to 1? (a) -3\/2 (b) f (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*y + 440 = 81*y. What are the prime factors of y?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 1:56 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 17*k**2 - 2*k**4 + 5*k**2 - 4 + 2*k**3 - k + 3*k**2 in the form c*k**2 + v*k + f + l*k**3 + h*k**4 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-24))\/((-168)\/(-1120))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 131 + 65 + 5*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n**3 + 2*n**2 + 7*n + 3. Let j(t) = -17*t**3 + 3*t**2 + 10*t + 4. Let l(r) = 7*b(r) - 5*j(r). Is 7 a factor of l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + l**2 - 2*l**2. Let j(n) be the third derivative of n**4\/24 + n**3\/3 + 3617*n**2. Give r(j(m)).\nAnswer: m**2 + 4*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 545375619 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 14 = -a, 0 = -3*a - 2 - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-240))\/((-187)\/(-306))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16159337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 6*s**3 - 11 + 15 to the form i*s + m*s**3 + j*s**2 + u and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cc3 + -1?\nAnswer: -cc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*m*o*u + d*m*u + 2*d*m + 4*m*o*u**3 + 17*m*o*u**2 - 3*u**3 - 2*u with respect to o.\nAnswer: 2*d*m*u + 4*m*u**3 + 17*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*v**2*w - 920*v**2 + 12714*v*w + 37*v - 4*w - 5 wrt w?\nAnswer: -11*v**2 + 12714*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a = n - 1, -n - 2*a - 1 = 0. Suppose -n*x + 6369 = l - 4148, -l = -x - 10533. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 44 - 54 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, g: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -35?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3825*x**5 + 20*x**4 + 2*x**3 - 34*x**2 + 33*x + 2 wrt x.\nAnswer: 229500*x**2 + 480*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*v + 136, 3*v - 1 + 7 = 0. What is the remainder when l is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -12*x + 330. Suppose 115*p - x*p = 25. Solve -3*v + 2*f + 4 = f, p*v + 20 = -5*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/240 - 11*q**5\/48 + 19*q**4\/24 - 61*q**3\/3 - 24*q**2 + 4*q. Let w(d) be the first derivative of x(d). Factor w(m).\nAnswer: -(m + 19)*(3*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4615030 (base 8) to base 16.\nAnswer: 131a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 18*b**2 + 17*b - 22. Determine c(-19).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k - 1. Let m(u) = -7*u + 18. What is b(m(q))?\nAnswer: -35*q + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Suppose 0 = 3*m - 4*c + 1 - 24, 0 = c + t. Suppose -k = 3*k - 16. What is the lowest common multiple of k and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 289\/34)\/((-2)\/(-32))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/216)\/(24\/270)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2603436934 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 23 = 7. Let f(r) be the first derivative of 1\/4*r**4 + 4\/3*r**3 + 2 + r**2 + 2*r. Determine f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -5 times 26716\nAnswer: -133580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 4*z**2 - 2*z - 1. Let c(h) = h**2 - 3*h - 11. Let p be c(0). Let j(o) = -4*o**3 - 21*o**2 - 11*o - 6. Give p*m(t) + 2*j(t).\nAnswer: 3*t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q + 2*q + 7 - 2. Let s(w) = -13*w - 11. Let p = -44876 - -44885. Give p*f(g) + 4*s(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:52 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y. Let f(g) = 21*g. Let d(q) = -4*f(q) - 20*n(q). What is the units digit of d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5202*h + 4591. Is y(-46) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 78 + 3 - 11. Solve 73 = 2*w + v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 34?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.204 + 1508.796. Let i = u - 1510.374. Round i to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + j + 1 = 3*j, -4*x + 4*j + 40 = 0. Suppose -p = -5*l + 15, 4 = -p + 4*l - x. Solve p*r - 5 = 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61477*r**2*s**2 + 1344*r**2 + r*s**3 wrt s.\nAnswer: 122954*r**2*s + 3*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 3:29 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 1. Suppose 4*a = a - 12. Let p(u) = -397*u + 754 - 25*u**2 - 765 + 401*u. Let i(h) = a*l(h) + p(h). Find the first derivative of i(o) wrt o.\nAnswer: -50*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2*x - 2*x)*(-1 + 8 + 7) to a + z*x and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3382*t - 4*b - 80 = -3386*t, -4*t - 3739 = 197*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7262 (b) 4 (c) -1.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 17b3?\nAnswer: -17b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4900, 9798, 14696, 19594, 24492?\nAnswer: 29390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 27 (b) 3 (c) -0.1 (d) 0 (e) -2\/83\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3462 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + 5\/(35\/523). Let n be (-18)\/(-42) + v\/21. Find y such that y**3 - 4*y**2 - 1\/2 + 2*y**5 - 3*y + 9\/2*y**n = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 1, y: 1, n: 1, h: 1, k: 1}. Give prob of picking 1 o, 1 n, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**7\/504 - x**6\/54 - 11*x**5\/72 - 5*x**4\/12 + 4*x**3 + 24*x**2. Let i(k) be the first derivative of a(k). Factor i(f).\nAnswer: 5*(f - 6)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-15)*d*d*d**(-28\/3))**(-29) assuming d is positive.\nAnswer: d**(1856\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 10 (c) 1 (d) 12 (e) -1297\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25477102 (base 8) to base 16.\nAnswer: -567e42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8772 and 612?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 f, and 1 m when four letters picked without replacement from fnmtn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-2 - (-3 - -19)). Suppose 2*u - 6*u = 0. Suppose 4*b = -u*b + 120. Calculate the greatest common divisor of b and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143820*z**4 + 2*z**2 - 572410*z?\nAnswer: -1725840*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/19669 or 0?\nAnswer: -1\/19669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + -15 + 1581 - (2 + -7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*o + 5*o**3 + 0*o**2 + 10*o**3 - 4*o**4 + 4*o**2 - 7*o**3.\nAnswer: -4*o*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1144591 and 2.3519.\nAnswer: 1144593.3519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -200?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394088313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79\/21 + 10\/3. Which is the third smallest value? (a) 0 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50.581 - 0.381. Let m = 50 - u. What is the second biggest value in m, -1\/16, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from assggnnss. What is prob of picking 1 g and 1 n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251272\/11 - -22843. What is the second smallest value in t, -14, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-33)\/3630). What is the greatest common divisor of 539 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 205. Let k = i + -127.5. Put 4, -2, k in descending order.\nAnswer: 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 19*a**3 - 3*a - 3. Let y(m) be the first derivative of -19*m**4\/4 + m**2 + 2*m + 784. Give 2*s(j) + 3*y(j).\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/94 and 23.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*g - 15559 + 15538, 4*n = g + 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26663?\nAnswer: 7, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1803 + -0.09.\nAnswer: 1802.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 34172813?\nAnswer: 239209691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 418.23 + -636. Let t = n + 221. What is t rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 234*f + 35. Is r(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:08 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 965 - (-1 - 3) - 0. Let u = x + -958. Suppose 4*v = -4*p + 5*p + 1015, 4*v + 5*p = 997. Calculate the greatest common divisor of v and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 - 59 - 92 - 117 + 14)*(-12791 + 12791 + 142*i).\nAnswer: -49700*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 20010212101?\nAnswer: 20010212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 - 27*z**4 + 1785*z**3 - 17629*z**2.\nAnswer: -z**2*(z - 17)**2*(z + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1309\/8 - -164. Let w = -13.859 - 0.141. Let q = 18 + w. Which is the nearest to 0.1? (a) -3\/5 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118276335.\nAnswer: 3, 5, 876121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 - (-45)\/25. What are the prime factors of ((-14)\/(-6))\/(c\/12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32868 (base 11) to base 9\nAnswer: -72288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2999.5 * 1.836.\nAnswer: -5507.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20368569 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/24 and -89\/1885224.\nAnswer: 1885224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -724 + 9*j**4 + 1445 - 719 - j**2 to the form a*j**2 + n*j**3 + q + k*j**4 + z*j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, 20, 30, 40, 50?\n\"Answer: 10*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from cgczg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 smaller than 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -0.62895\nAnswer: -16.3527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4 + 3*x - 2*x - 4. Let v(m) be the third derivative of 0*m + 0 + 0*m**3 + 1\/20*m**5 + 0*m**4 + 3*m**2. Give z(v(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2480 and 267000?\nAnswer: 16554000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-5*l - 8 + 8)*(-9 - 2*l - 2*l + 6*l).\nAnswer: 20*l**2 - 90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)\/y)**(14\/5)*(y**(2\/7))**(-8\/5)*(y**(2\/13)\/y**(1\/2))**(14\/3) assuming y is positive.\nAnswer: y**(-13633\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:22 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605516?\nAnswer: 2, 3, 11, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1235834302.08004387 - -1235834376. Let y = f - 73.92. Round y to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*j**3 - 13*j**3 - 1 - 13*j**2 + 24*j**3 + 46*j**3 - 4*j**3 - 2*j as c*j + z*j**2 + u + p*j**3 and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:39 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/4*1\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(128) + -1 + sqrt(128))**2.\nAnswer: 64*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 3 - 2) + -15 + 12 + 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2. Let o(v) = 2011345*v. Calculate f(o(m)).\nAnswer: -12136526127075*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 29. Determine h(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7 = -3. Suppose -3*j = -10 - s. Suppose z = 3, -j*r + 5*z = -0*r - 135. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 5*z**2 - 8706*z - 43506. Give g(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(21\/(-70)). Solve r*y + 9 = -3*k, -3 = y + k - 0*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -489 or -490?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 92, 106, 124?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 take away 1774771.7906?\nAnswer: -1774771.8806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -245, -961, -2155, -3827?\n\"Answer: -239*i**2 + i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2) + -3 + -4 + 5)*-5.\nAnswer: 10 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6)*18 + -2. Let z = -13 + d. Let x be (-9)\/z*(-1)\/3. Which is the closest to -0.1? (a) 1\/3 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6))**(-1\/22)*k**(3\/5)\/(k**(3\/4)\/k*k))**20 assuming k is positive.\nAnswer: k**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 408, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/586880 and 51\/22592?\nAnswer: 207168640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1592 (base 12) to base 9\nAnswer: -3452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/3 + -1 - -31. Let g = r - -3. Suppose 3*n + 7 = g. Does 8 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64815227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2946869311 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 1:35 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 7. Let d be f(6). Let o be (3*d)\/(2\/(-22)). Let k be 1 + (-1 - (-6)\/o). Which is the smallest value? (a) -0.3 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301284 divided by -100428.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + 23*i**2 + 18*i + 86. Determine k(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 844 + -844.00002163. What is n rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.201198186 take away -0.115?\nAnswer: -0.086198186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274 divided by 174?\nAnswer: 379\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1692\/19 + -89. What is the third smallest value in 3, 2\/3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 20. Let x = -12016.013 - -12022. Let h = i + x. Round h to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7779266 rounded to the nearest 10000?\nAnswer: 7780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001001 + 100111110101101010?\nAnswer: 101000001101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26209.12 - 25772. Let g = 889.09 - l. Let d = g + -449. Round d to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -100, 139, 470, 893?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, 4.\nAnswer: -11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t + 21. Suppose 4*b - 6 = a, 2*b - 14 = -6*a + a. What is the greatest common factor of a and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*h + 6, -1 + 29 = 5*h - c. Let x = h + -3. Suppose -3*i + 44 = 5*u, 3*i = -x*u + i + 20. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0, -143249, 3?\nAnswer: -143249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 10*t + 29. Calculate g(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 130 = 4*u + 6*f, f = -3*u + 100. Let s = -26 + u. Solve -4*k + 10 = k - 2*g, -k + s = g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6212\/37 - 168. Is -1 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11041.1066 + -5407.4919. Let t = r + -5633. Let n = 0.6 - t. Round n to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 26. Let i be 435\/39 - 4\/u. Suppose 5*w + 36 = i. Put 2, w, 3 in decreasing order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90424, 181045, 271894, 362977, 454300?\nAnswer: 545869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000149234 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-4)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 804 (base 9) to base 5\nAnswer: 10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g + 1. Let r be l(-1). Let f(u) = -u + 4*u**2 + 3*u + 0*u**2 - 3*u**2. Let a be f(6). Calculate the highest common factor of a and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 + (-106)\/(-4). Solve 2*u + 2*u + 3*i + b = 0, 10 = -4*u + 5*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -133.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*o - 3*a + 339248 = 288*o, 2*a + 84823 = o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*k**3 + k**2*m**2 + 14*k + 329*m**2 wrt k?\nAnswer: 63*k**2 + 2*k*m**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -3. Let u(m) = 2*m**3 + 2*m**2 + 11*m + 12. Let q be u(c). What is the common denominator of q\/(-60)*(-5)\/(-14) and 1\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s + 66*s - 10 = 0. Factor -4*x**s - 2667 - 1660 + 1660 - 748 + 288*x - 1769.\nAnswer: -4*(x - 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 5922045.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 40*z - 261. Solve 4*o + 5 = -z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, 33, 73, 127, 195, 277, 373?\n\"Answer: 7*q**2 + 5*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39587473979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = -4. Suppose -t = -o - 0. Is 2 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k + 140 = 0. Suppose -k = 3*j - 8*j. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + -2)\/(76\/92) and (-575)\/60*(-135)\/150.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g - 10*g**2 + 9*g**2 - 4*g. Let x be (-2)\/4 - 14\/(-4). Calculate r(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3812\/9 - 1270\/3. Factor 4\/3*d + a*d**2 + 2.\nAnswer: 2*(d + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + 87 - (-171 + 37)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 x when three letters picked without replacement from yxxy.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41122?\nAnswer: 2, 29, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a**(-6)*a**(2\/7)\/a**(-5))\/((a**4\/a)\/(a\/a**(-6\/7))*a**(2\/9)\/a**(-2)) assuming a is positive.\nAnswer: a**(-698\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2073\/290 - 42\/29. Let n(c) = c**3 - 8*c**2 + 9*c - 4. Let w be n(7). Calculate the common denominator of m and (-152)\/15*w\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858691000?\nAnswer: 2, 5, 858691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v - 3. Let u be t(0). Let x be ((-16)\/12 - 0)*(-18)\/(-228). Let o = 146 - 145.5. Which is the nearest to 2\/5? (a) o (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2 - -1) + 23 + -22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -1921?\nAnswer: -1924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 794460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4012.77 times 60\nAnswer: -240766.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((6 - -40) + -2 + 2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7926050 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 third derivative of 2*l*r**3*x**2 + 9*l*r*x**2 + 148*l*r*x - 170305*r**3*x + 28*r**2 wrt r?\nAnswer: 12*l*x**2 - 1021830*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 26*d + 1. Let m be u(1). Let o = m + -17. Solve -4*i = 2 + o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -57*k**2 + 8\/21*k**7 + 0*k**5 + 0*k**6 + 0 + 0*k**4 + 15\/2*k**3 + 0*k. What is the derivative of g(j) wrt j?\nAnswer: 320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7247, 7228, 7213, 7202, 7195, 7192?\nAnswer: 7193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6990.28 + 7343. Let w = x - 353. Which is the smallest value? (a) 1\/3 (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -310\/5643 + -4\/209. What is the closest to -3 in 1\/3, j, -4\/9, 2\/17?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 283 - 24*s**3 + 85*s**3 - 238 wrt s?\nAnswer: 183*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/32 and -63\/3478390.\nAnswer: 55654240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6*7.1.\nAnswer: -18.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.009 + 130.991. Let n = -157 + i. Which is smaller: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.6 - 16. Let n = 0.5 - 2.5. Let g be 6\/(-9) - 99\/(-108). Put g, u, n in ascending order.\nAnswer: n, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2538\/(-12))\/(6\/400). Round l to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (4\/44 - (-89)\/(-11) - 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011000001 (base 2) to base 12.\nAnswer: -855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152378289 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56872 divided by -1?\nAnswer: 56872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 28. Suppose w - 8 + 3 = y. Suppose 4*q = -3*j + w*q + 51, j + 3*q - 27 = 0. Calculate the remainder when 84 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*i = 16, -2*y - 4*i + 7 = 23. What is the third biggest value in y, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**3 - 4*o**2 + 39*o - 54. Let r(v) = v**3. Let z(k) = -2*n(k) - 6*r(k). Factor z(m).\nAnswer: 2*(m - 3)*(m - 2)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -317489114.\nAnswer: 2\/158744557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/5)\/w*(w*w**(-1)*w)\/w*w**(-5\/3)\/(w*(w**2*w)\/w) assuming w is positive.\nAnswer: w**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -807*p**2 + 798*p**2 + 2 - 4 as s + q*p**2 + h*p and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851*s = -1793*s - 1645*s + 38805 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 10*d**2 - 3*d - 15. Let q be (-40)\/(-2)*(-5)\/10. Is z(q) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36863\/1482 + 10\/247. Calculate the common denominator of 19*(0 - 1\/6) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/40894 and -43\/357378?\nAnswer: 8219694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 102*s + 613 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 4*m**2 + m**2)*(1575*m**2 - 1238*m**2 - 810*m**2).\nAnswer: -1892*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-25))\/(1\/(-25)). Let r(h) = h**2 - 19*h - 18. Let y be r(21). Let w = y - f. Solve -5*i + 0*i - 3*x = 22, -w*i - 5*x - 28 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-266)\/7 + 26 + (-88)\/(-6).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4493 and -0.3?\nAnswer: -1347.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 7:31 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*f - 270000 = 28*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r - 4*r - 2*r + (-167 - 137 + 101)*(-r + 2*r + 0*r).\nAnswer: -214*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-3)*33\/(-12). Let z = l + 10. Suppose 4*u - x - z = x, 0 = -2*x + 4. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*j*o**4 - 262123*j*o + 2*j - 2*o**5 - 887*o**2 - 2 wrt o.\nAnswer: 228*j*o**2 - 40*o**3 - 1774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -457170 divided by -9330?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-6 - -3 - -10) + -11)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) 0.5 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1211003542 (base 6) to base 12\nAnswer: 47395b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 61 + 67 = 0. What is the fourth smallest value in -13, r, -4, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 589 - 869. Is 1\/(-5) + i\/(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5832296 divided by 1.\nAnswer: 5832296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23\/66 - 1\/66. Put 4, 1, l in ascending order.\nAnswer: l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-9))\/((-2)\/(-6)). Let n be -1 - b - (652 + -14). Let c = -4439\/7 - n. What is the common denominator of c and 5\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33165 divided by -335\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 8 - 6 - 17 - 9.\nAnswer: -2*v**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 19160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 1, g: 6, u: 2, p: 2}. Give prob of picking 1 g and 1 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4491*h - 19155*h - 44625*h.\nAnswer: -59289*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2036866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.071 * -0.03\nAnswer: 0.00213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*s + 130. Suppose -2*a - 5*o + 8 = 0, -3*a - a + 2*o = -16. Solve -a*l - 20 = 0, -s = 4*m - 2*m + 3*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4\/5 + 36*g**3 + 177*g**2\/5 = 0.\nAnswer: -59, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 10, -2 = 5*v - 4*c - 20. Let o be -2*((0 - 0) + -1). What is the second derivative of j - v*j - 2*j - j**o wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 3. Let t be q(0). Let r = t + 2. Suppose 0 = -5*j - a - 1 - 17, 4*a + 12 = 0. Sort 3, r, j in increasing order.\nAnswer: j, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2303 + 3?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let j = -0.45 + 0.8. Let f = 2.65 + j. What is the closest to b in 0.1, f, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o - 5107*o**2 - 2*o + 5094*o**2 + 2*o**4 - 10*o + 9*o**3 + 1 as t*o**4 + u*o**3 + l*o + m + b*o**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + y = -9, 5063 = 73*g - 5*y + 5433 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-70)*(-32)\/80*35?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -34*f. Let t(b) = -10*b**2 - 2*b. Determine t(j(y)).\nAnswer: -11560*y**2 + 68*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3140)\/(-26) + 542\/(2219490\/945)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 143*f**2 + 42*f. Let v(k) = 8*k**2. Determine t(v(l)).\nAnswer: 9152*l**4 + 336*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 5000 = -9*y - 0*y. Calculate the least common multiple of 90 and y.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 46*w**3 + 2*w**2 + 2*w - 12. Let k(j) = 46*j**3 + j**2 + 3*j - 8. Calculate -3*k(p) + 2*o(p).\nAnswer: -46*p**3 + p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (570\/225)\/(((-106)\/318)\/(5\/(-9))).\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -158217*l**2 + 949300*l + 9. Determine s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15*f**3 - 2*f**2 + 2*f + 3. Let k be h(-1). Suppose 14*i = k + 28. Solve 0 = m - 0*m - i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 205*r**2 + 201*r**2 + 4*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2 - (-8056)\/(-424)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*h - 14 = -3*z, 2*h = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) -3 (b) -7 (c) -3.7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1205 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 - 4*x**3 - 2*x**3 - x**2 - x**3 + 1 in the form m*x + y*x**2 + g + b*x**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 1, z: 1}. Give prob of sequence zme.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (-3 + sqrt(832)*-1)) + 4.\nAnswer: 7 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppppipppppppppppippp.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4750060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -419, -412, -393, -356, -295?\n\"Answer: i**3 - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3265 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 26*a**2 + 148*a + 47. Let l be z(-18). Which is bigger: l or -671\/27?\nAnswer: -671\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 11, 28, 53?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 143380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 12 - 14. Let w be (405\/6)\/3*l. Let f = w - 23. Which is the third biggest value? (a) f (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.2534892 and -41807.\nAnswer: -41821.2534892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53278, -55060, -56842?\n\"Answer: -1782*w - 51496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*s - 109*s - 13 = 2*a, 5*a = 3*s - 79. Let g be (-4)\/10 + 33\/45. Does a = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 6*j**2 + 6*j + 2. Let w be z(6). Suppose -456 = -w*m + 34*m. List the prime factors of m.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q**4 + 7\/2*q**2 + 0*q + 16 + 19\/5*q**5 + 0*q**3. What is the second derivative of c(p) wrt p?\nAnswer: 228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 2*h - 2. Let r(q) = -274*q + 10695. Calculate the remainder when x(-3) is divided by r(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/(-45))\/((-2)\/(-3)). Let q be (-1*b\/(-4))\/(15\/1720). Is q >= -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-1080) + (-632)\/(-8532).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 3301311?\nAnswer: 3301312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w + 113. Let x be r(-15). Let u(b) = b**3 + 18*b**2 + 7*b - 1. What is the tens digit of u(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 5*y**8\/56 - 5*y**4\/12 + 4*y. Find the third derivative of c(x) wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (4\/(-4))\/1. Let q(h) = 5 + 2 - 4 + k*h + 101*h. Is q(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*c**2 + 47 - 48 + 2*c + 19*c**2)*(2*c - 3*c - c + 1) to z + p*c**2 + l*c**3 + f*c and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 5. Let s(v) = -2*v - 4. Suppose 4*o = -2*y + 18, 3*y - 3*o + 0*o = 0. Give y*w(a) + 4*s(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - (5 - (2 - -3 - 1)). Is 784\/12 + -2 + s\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-14))\/(2\/(-4)). What is the biggest value in 3, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let b(s) = 77589*s**2 + 4995*s + 1665. Let k(x) = 326*x**2 + 21*x + 7. Let w(c) = -7*b(c) + 1665*k(c). Give a(w(h)).\nAnswer: -666*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1550 divide 38582508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 974325 to the power of 1\/2, to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660226 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 8. Let g be z(-7). Let r be ((-20)\/g)\/5 + 0. Which is the nearest to -0.2? (a) r (b) 0 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*y - 2 = -0, -4*m = 4*y + 8. Let d be (2 + -2)*1\/2. Let h = d - 4. Put 5, h, m in descending order.\nAnswer: 5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(704) + -4*sqrt(704))**2.\nAnswer: 384*sqrt(11) + 12704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784171 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -43908 greater than -43910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1660*a + 5596*a - 1070*a - 1735*a. Let u(t) = 9*t. Give g(u(l)).\nAnswer: 10179*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1246 = 6*j - 1238. Suppose 13*w = -10*w + j. What is the remainder when (-134)\/(-2) - (-1 - 1) is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y**2 - 5*y**2 + 12*y**2)*(3 - 4 + 0).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 20, 75, 160, 275, 420, 595?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623692256 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/3 - 2*x**2 - 27*x + 42. Let m be d(11). What is the highest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/3)*w*w*(w\/(w**(-2)\/w))\/w*w*w)**(-34)*(w**(-3\/10)\/w*w)\/(w\/(w*w**(2\/5)*w))*(w*w**0)\/w**(2\/9) assuming w is positive.\nAnswer: w**(-26351\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/6 + 1397*i**4\/6 - 648667*i**3\/6 + 99236099*i**2\/6 + 202386592*i\/3 + 203695126\/3 = 0. Calculate i.\nAnswer: -2, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24308*k - 24957*k = -21417 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 13*g + 18. Determine c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 12*m**2 - 10*m + 14. Let c be q(-11). Suppose -86 = -c*a - x + 6*x, 0 = -a - x + 18. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 3, 4, -3, -5 in descending order.\nAnswer: 4, 3, -3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -269 - -268.9. What is the biggest value in t, -4, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - g)*(-1 + 1 + 1) + 3 - 3 - g + 3*g - 3*g + g)*(-6 - 3*g + 6).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1459*y**2 + 1. Suppose 3*o - 3 = -0. Let g be q(o). Suppose v = -v - g. What is v rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29409 (b) -0.3 (c) -2\/23 (d) -2 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + 1686.\nAnswer: 1685.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 511 + -189. Suppose 3*s + 2*s = -3*t + r, 2*s - 5*t = 135. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 21*l**2 - 16*l - 331. What is m(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4371, 8746, 13121?\n\"Answer: 4375*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let h be 6 + (3 - 6) + 3. Let s(b) = 6 - h + b. Determine -g(n) + 5*s(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 7 + 5. Suppose -10*p + k*p = 6. Solve 4*m - 14 = -5*y - 4, -14 = -4*m - p*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2350833558?\nAnswer: 2, 3, 19, 3301, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6) - 4\/(-6)) + 9. What is the third derivative of 816*x**4 - x**5 - 816*x**4 - 36*x**2 + c*x**6 wrt x?\nAnswer: 1080*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95892 >= 95893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -97*y**6\/24 - 177*y**3\/2 + 369*y**2 - 2. What is the derivative of c(q) wrt q?\nAnswer: -1455*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f - 21*f**2 + 13*f - 4*f**2.\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 581220 and 6?\nAnswer: 581220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 2, -4, 0.5, 0.06, 15\/4, -6\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1511517, 1511504, 1511491, 1511478, 1511465, 1511452?\nAnswer: 1511439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - z - 2. Let b(t) = -4*t**2 + t + 3. Let g(h) = 3*b(h) + 4*p(h). Let j = -7 + 10. Suppose -2 = -j*a + 1. Give g(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + -29. Let b = -37 + f. Solve b*u = s + 10, 4*s = -s - 5*u + 50 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (6 + (-161 - 9)). Suppose 20*c + g = 24*c. Calculate the remainder when 161 is divided by c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8442610 divided by 59455?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70182964 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from txxxxxxxxxxxx?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-25)*c)\/c**34)\/(c**(1\/35)\/(c**(3\/7)*c)) assuming c is positive.\nAnswer: c**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 26.89142?\nAnswer: 16.134852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 24380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 2. Let l = -2 + -2. What is b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*y**3 + y**5 + 2*y**5 - 144*y**3 + 2*y**5 + 112*y**3 - 1491*y**2 wrt y.\nAnswer: 300*y**2 - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8390 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*y = -37*y - 39*y - 48. Solve -8*j + 6*j = y*q - 11, -q = -4*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124055?\nAnswer: 5, 43, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 0 + -9 + 5. Suppose 0 = 5*a + o*a - 8. Is 0.32 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3, 25, 23, -5 in descending order.\nAnswer: 25, 23, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 28*p + 39*p + 3385*p**2 + 35*p - 102*p.\nAnswer: 3385*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 4*g**2 + 16*g - 10. Give r(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -53777101 and -3.\nAnswer: -53777104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207963002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25172 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 6*s**2 + 3*s + 8. What is the remainder when 112 is divided by h(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s**2 - 2*s - 9. Let g = -2 + 8. Calculate the remainder when v(-3) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**3 - 2*z**3 - 8*z**3)*(2*z**2 + 0*z**2 + 0*z**2).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48791\/1940 + -23 + -2.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/8*(-76)\/57?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -512 - 5?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - x + 2*x + x)*(x**3 - 3*x**3 + 5*x**3).\nAnswer: 6*x**4 - 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23204985 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1845, 7, -4, -1 in increasing order.\nAnswer: -4, -1, 7, 1845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -326*k**3 - 4*k + 23.\nAnswer: -1956*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -922*x + 32800. Calculate j(35).\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 330*t**2 - 132*t + 44. Let f = 387 + -343. Let d(c) = 22*c**2 - 9*c + 3. Let r(z) = f*d(z) - 3*j(z). Let s(i) = 3*i. Give s(r(v)).\nAnswer: -66*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(4*sqrt(80) - sqrt(5)) - (-1*sqrt(128)*-3)**2.\nAnswer: -1152 + sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5.2 (b) 307\/2 (c) -3\/7 (d) 5 (e) 0.05 (f) -0.5 (g) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hch when three letters picked without replacement from {b: 1, c: 1, h: 3, n: 3, f: 5}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3142 - -11875. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 14*z - 14. What is p(-11)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 22377745?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 2*l + 0*l)*(-l + 2*l + 0*l) + (-2*l - 4 + 4)*(-5 + 1 + 1)*(6*l - 15*l - 6*l) to the form b + c*l**2 + w*l and give c.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0068484 to 4 dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, j: 2, d: 6}. What is prob of sequence zzjj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18849 divided by 4\nAnswer: -18849\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 29*x - 167. Let t(r) = 83*r - 334. Let d(o) = 2*t(o) - 5*w(o). What is d(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from vvvvvvvfvvvfvfvfvvv.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91a39 (base 11) to base 9.\nAnswer: 224260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9*6\/56)\/((-3352)\/80 + 42)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -18*q**2. Let d(p) = 98*p**2 + 96*p**2 - 241*p**2 + 68*p**2. Give v(d(n)).\nAnswer: -7938*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-306)\/(-126))\/17)\/(9\/7)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**2\/2 - 6*o - 1. Let c be a(-8). Let f(n) = -c*n**2 - 2*n**2 + 80*n - 80*n. Let w(l) = -2*l. Calculate f(w(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1525 (b) -0.08 (c) -5 (d) -0.5 (e) 1 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + (-3 - -4) + -5. Solve 2*a + c = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 63744228*w**2 - 253958072067744*w - 1269788766733520.\nAnswer: -4*(w + 5)*(w + 7968026)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*h - 17 = -4*a, 0 = -4*a + 2*h + 22. Solve 0*n + a*n - 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 + 287476*w - 2012234 = 0. What is w?\nAnswer: 7, 143731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1290 divide 49142550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/41 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012795774 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(-4)\/(-14) - 1744. Let r = -783 - j. List the prime factors of r.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464067 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (730 - 253 + 680)*(-2*w - 2*w + 2*w).\nAnswer: -2314*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k\/(k\/k**(2\/5))))\/k**(-1\/4)*((k*(k**3*k)\/k*k*k)\/k)\/((k**(-1\/11)\/k)\/k)*(k\/k**2)**(4\/7)\/(k**(-2)*k**(-8)*k) assuming k is positive.\nAnswer: k**(28289\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459253 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + j = 12, 4*q - j = 3*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1124*x**2 - 5*x - 3818*x**2 + 5*x.\nAnswer: -2694*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*j + 4, -2*j - 80 + 66 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w. Let v(j) = -4*j**2 - 74*j + 1. Determine v(i) + 2*z(i).\nAnswer: -2*i**2 - 76*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2503*c**3*v**6 - 3*c**3*v**4 - 332*c**3*v - 17*c**2*v**2 wrt v?\nAnswer: 300360*c**3*v**3 - 72*c**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 42152?\nAnswer: -42134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7836 is divided by 2610.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25496.5 and 0.1.\nAnswer: 2549.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*y + y = -16, 4 = -y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**5\/20 + 5*a**4\/12 + 7*a**3\/6 - a**2 + 26*a. Suppose 3*v - 3*x = 90, v - x - 32 = -2*x. Let c = v + -25. What is r(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(5 + sqrt(19) + -1 + 6*(sqrt(19) + sqrt(76)\/sqrt(4)) + ((sqrt(19) + 1)*-4)**2 + 0)*1.\nAnswer: -2916 - 405*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213507?\nAnswer: 113, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/((-220)\/(-184))*4\/(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1779 - 1783. Which is the smallest value? (a) -0.06 (b) y (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 531 divided by -28\nAnswer: -531\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -330, -605, 125 in increasing order.\nAnswer: -605, -330, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979224 is divided by 326395?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 + 10*n**2 - 16*n - 52. Let h be t(18). Suppose 0 = 16*l - 50*l + h. List the prime factors of l.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374862.\nAnswer: 2, 687431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 290, 611, 1482, 3179, 5978, 10155?\n\"Answer: 46*b**3 - b**2 + 2*b + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 44*n**3 + 1 - 39*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6644 - -5?\nAnswer: 6651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2478 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59359, 59355, 59351, 59347, 59343?\n\"Answer: -4*d + 59363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.83157 rounded to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 66051.458 to the nearest one thousand.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248495773 is divided by 6303?\nAnswer: 6301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5))**18 assuming i is positive.\nAnswer: i**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21774 - 21839 = -5*y - 5*i, -22*i = -91*i + 345 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 8*d**2 - 7*d - 9. Let z be c(7). Let g = 12 + z. Suppose 1 = -g*b + 13. Let a(v) = -4*v. Let p(h) = 5*h. Give b*a(r) + 3*p(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.1 + -325.6. Round b to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 6 = y. Differentiate -y + 3*n - 2*n - 9*n wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 11124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.471 + -0.371. Let x = -4 - -7. What is the third biggest value in x, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2*w + 2)*(2*w - 2*w + 2*w)*(2889*w + 780*w - 667*w).\nAnswer: 12008*w**3 + 6004*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(-2))\/d*d)**29\/(d**7\/d**(-10)) assuming d is positive.\nAnswer: d**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1072 or -88?\nAnswer: -1072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 2050 = 1010. Calculate the remainder when b is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 2. Let o(l) = -6*l**2 + 5. Calculate -5*m(f) - 2*o(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 20. Let t be ((-80)\/(-26) - x)*(2 - 4). Let m be 1\/3*(0 + -2). Which is the closest to m? (a) -3\/2 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-144)*2)\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -88*h + 2778. Calculate l(32).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -23. Let x = p - 9. Let h = 20.4 + x. Which is the nearest to -0.1? (a) 1\/7 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 5*r**2 + 26*r - 29. What are the prime factors of l(-12)?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.317 in -0.2, 0.4, -1\/25, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 988890756 to the power of 1\/4, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {o: 1, w: 2, i: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105606190*y**3 + 45721*y**2 - 12*y + 18?\nAnswer: -633637140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*h = -29 - 91, -5*h = -10. Let k = m + 43. Suppose 2*g - 5*g + k = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 5*j**2 + 3*j - 2. Suppose -4*h = -x - 0*x + 3, -2*x = 2*h - 26. Let v(t) = -t**3 + 10*t**2 + 11*t - 5. Let q be v(x). Give g(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825\/3254 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8442 and 9339666.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 83*i + 14 - 6 as p + t*i and give t.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5443, -10907, -16371, -21835?\nAnswer: -27299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s + 20*s - 6*s - 2*s**3.\nAnswer: -2*s**3 + 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6846?\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 9, -463, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-99)\/12)\/(-1))\/((-129)\/86).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4333031 + 34?\nAnswer: -4332442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-27) + 2\/(-1). Let y = 0.5 - 0.3. Is y smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 452447578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1026667, -1026671, -1026675?\n\"Answer: -4*s - 1026663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1009723366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/252*(-32588289)\/48876. Let k = z - -2\/28511. What is the common denominator of k and 67\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.45101 micrograms to tonnes.\nAnswer: 0.00000000005045101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*k**2 - 62\/3*k - 961\/3.\nAnswer: -(k + 31)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 42 = 4*i - o, 5*i - 2*o + 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 6*m + 2. Let l(x) be the second derivative of x**4\/4 + 11*x**3\/6 + 3*x**2\/2 - 55*x. Determine -3*l(j) + 5*w(j).\nAnswer: j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 3) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + sqrt(13) + -3 - sqrt(52)\/sqrt(4)*6))**2.\nAnswer: 80*sqrt(13) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7861, 7877, 7907, 7951?\n\"Answer: 7*s**2 - 5*s + 7859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (1 + -2)) + (-59 - (57 - 106)) - 31.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -134723*h**2 + 55*h - 302. Let x be q(6). What is x rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 2. Calculate n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r**2 - 2. Suppose 5*u - 10 = 2*b, 0*b + b - u = -11. Let l be (-5)\/25 + 27\/b. Give c(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 - 4\/14. Let n = -14 + 25. Let w = n + -11.5. What is the closest to q in 4, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7146 + -7143. Let j = 2 + -2. Which is the third smallest value? (a) t (b) -5 (c) 5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2924311 + -0.1075701. Let v = 3.6 + -4. Let z = r - v. Round z to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -3\/5, 3.4, 0.0762, -4\/7.\nAnswer: -3\/5, -4\/7, -1\/5, 0.0762, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -19 - (35 + (2 - 3)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 4*g - 4*g**3 + 5 + 0 + 2*g**2. Calculate the remainder when 69 is divided by v(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/31 (c) -8 (d) 1 (e) 4 (f) -5365\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.96282l in millilitres?\nAnswer: 73962.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*s + 16 + 21, 3*s = 5*d - 68. Let r = s + 124. Calculate the remainder when r is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 61*l = o - 4*o + 77 + 236, -4*o - 2*l = 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2658*w**2 - 40*w - 238. Let g be l(-23). Round g to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/25)\/p)**(2\/99)*(p**(-18))**(-19) assuming p is positive.\nAnswer: p**(282134\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.82 + -4.18. Sort 2\/7, -0.2, p, 0.5 in descending order.\nAnswer: 0.5, 2\/7, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*i + 1 = 3*n, -5*n + 14 = 4*i. What is the tens digit of (-55)\/n*(-5)\/(25\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010398 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71, -85, -287, -535, -829, -1169, -1555?\n\"Answer: -23*g**2 - 87*g + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(19) + 4)**2 + (sqrt(171) + (-1*1*sqrt(171) - sqrt(171)) - sqrt(171))**2.\nAnswer: -16*sqrt(19) + 780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1497, -1501, -1507, -1515?\n\"Answer: -t**2 - t - 1495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*3*-1)\/(sqrt(60)\/sqrt(5)*3))**2 + -2 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 10:32 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260438 by 2.\nAnswer: -130219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 69 + 31 + j**2 in the form m*j**2 + y + w*j and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30091 at most 30577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 2. Suppose 3*l - g = 2*g + 3, -3*l + g + 1 = 0. Let n be q(l). Solve 0 = -5*x - 25, h - x - 14 = -n*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 10*1 + 20 + (-8085)\/225 + 17.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-2))\/4*53\/(-1060)*(-16)\/(-84).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/6 and -68\/8085?\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 68*s**2 - 5*s + 4. Let h(c) = -68*c**2 + 6*c - 5. Determine -5*h(w) - 6*o(w).\nAnswer: -68*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 107359.8823135 from -2.\nAnswer: -107361.8823135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2.6. Let s = 2.6 + -5.8. Let k = s - -3.7. Put -2, k, q in descending order.\nAnswer: k, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 - d**2. Let k be t(-1). Let z be k\/(-12)*2*-6. Suppose -5*a + z + 19 = 2*p, -5*a + 27 = -p. Put a, -3, 3 in ascending order.\nAnswer: -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1452259*j + 2926246?\nAnswer: -1452259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.102? (a) 5 (b) 1 (c) -0.81 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*l = -181, -4*a + 3*l + 397 = 2*l. Solve 93*s + 10 = a*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, 15, 1, 1\/237, 2\/195, 7, 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 73.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2145*g - 2140*g + s + 23, -4*g + 13*s + 8*s + 483 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 4*q - 6. Let y(f) = 4*f - 1. Let z be y(-1). Let g be a(z). Let p = 5 + g. Put -4, p, -5 in decreasing order.\nAnswer: p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7237 or 7239?\nAnswer: 7237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 21*o + 82. Calculate the remainder when h(-6) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000152418 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 - -24)*(9\/(-2) - -4)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/57, 1.6, 0, 5, 1\/5 in decreasing order.\nAnswer: 5, 1.6, 1\/5, 2\/57, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 37 = 24*k. What are the prime factors of 277\/((((-6)\/(-18))\/k)\/1)?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982297429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6028, 6040, 6066, 6112, 6184, 6288, 6430?\nAnswer: 6616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + 2*d**3 - 5*d**3 + (-3 + d**2 + 3)*(0*d + 0*d - 2*d) + (-3 + 3 + 4*d)*(-8 - 8*d**2 + 8).\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a factor of 958384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 39*s + 1912. Calculate c(-50).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/62*(-6916)\/(-1482) + 1?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0041 + 608.0041. Let d = t + -608.4. Which is the third smallest value? (a) 0.5 (b) -13 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at most -3561\/110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1512)\/(-70) - 20)*-10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -65*n**5 + 20240*n**4 + 473330*n**3 - 1820840*n**2 + 328335*n + 999000 = 0. What is n?\nAnswer: -25, -8\/13, 1, 3, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b. Let v(c) = 178*c. What is v(z(l))?\nAnswer: -712*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25782.8 + 25783. Which is the fourth biggest value? (a) 0.5 (b) 2\/9 (c) k (d) -1 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -47 (b) -25 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/((-88)\/(-150)))\/(24\/13683200). Round n to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/358 and 119\/6?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 202 - 123?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89060 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7314 = -v. Suppose 3*b = b + 3*x + v, 4*b + 2*x - 2462 = 0. Is b 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 8:54 PM and 11:13 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7811.793 years to months.\nAnswer: 93741.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n + 20 + 21*n - n**2 + n. What is the units digit of j(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 432, 471, -290, -2253, -5820, -11393, -19374, -30165?\nAnswer: -44168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1531?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66 - 0?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72440341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 0*l**3 + 5\/126*l**7 - 10\/9*l**4 + 3 - 5*l + l**5 - 1\/3*l**6 + 0*l**2. Solve d(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 + 48962*c**4 - 599368320*c**3 + 1198540800*c**2 = 0. What is c?\nAnswer: 0, 2, 24480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84\/(-8)*(-2)\/3. Suppose k + 3 = 5*m. Suppose m*o + 18 = 3*p + 3*o, -p + 2*o + 13 = 0. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 463 + -244. Let i = j + -142. What is the greatest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:35 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) -2604196 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, 58?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 plus 29?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1824 + 7033. What is the highest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105697 and 570?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -217, 13, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 683069*q**2 + 147189*q**2.\nAnswer: 830258*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - a + a - 19 + 19 + 8*a + (a + 1 - 1)*(0 + 0 - 1) - 2*a + 0 + 0)*(-a**2 - 2*a + 2*a) to the form c*a**3 + l*a + y + z*a**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1308338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**3 + 2*j + 0 + 198*j**2 + 1 - 195*j**2 in the form l*j + m + b*j**3 + h*j**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/4))\/(w**1\/w))**(1\/11) assuming w is positive.\nAnswer: w**(5\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9346861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -17 + 25, v - 5*f + 8 = 0. Solve 0 = v*w + 3*y - 26 + 28, 0 = 5*w + 5*y + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 8*u - 3. Let j(i) = -i**3 - 6*i**2 + 18*i + 5. Determine -2*j(y) - 5*k(y).\nAnswer: 2*y**3 + 2*y**2 + 4*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 779, 1118, 1457?\nAnswer: 1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6a07e9 (base 15) to base 9\nAnswer: -10467813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/20 + d**4\/12 + d**2. Let x be w(-2). What is the tens digit of 74\/x + (-18)\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (11\/(-32)*-44 - (-1 - -8))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269858437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 105 = -6*n. Suppose 3*p = -50 + 17. Let x = p + 16. Solve -2*z + 0*z - x*k + 3 = 0, 0 = 5*z - k - n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*w. Let y be (28 + -22)\/(w\/1). Suppose 0 = -y*g - 273 + 972. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1187 by -24.\nAnswer: 1187\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 11:39 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 18*k**2 - 17*k - 3. Determine s(19).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/7)*c)**39\/(c**(-7))**(47\/5) assuming c is positive.\nAnswer: c**(2888\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 30 = -9*k + 4*k, -4*m + 4*k = 8. Let d be m - 1\/2 - 0. Which is the closest to 0.1? (a) 4 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1 + (3 - 6 + 2)*(4 - 2 - 1) - 1 - 4 + 3)*(25 - 4 - 58)*(-x + 3*x - 4*x) to the form p*x + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1419 divide 353081256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 2. Determine h(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 192*k**3 + 5*k**2 + 200*k**3 - 586*k**3 + 195*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 195*-1\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u - 984 = -66*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 25, 40, 69, 118?\n\"Answer: v**3 - 2*v**2 + 6*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/228?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/222104 and 13\/610786?\nAnswer: 2443144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5897*n + 5897*n - 100*n**2.\nAnswer: -100*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*q*t**5 + 130*q*t**2 - 2079*t**5 - 3*t**3 + 14301*t**2 wrt t?\nAnswer: 2760*q*t**2 - 124740*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 10552 + 13720. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-n + n - 2*n**2)*(4 + 4 - 1) + 5*n - 5*n + 5*n**2)*(-n**2 - 2 + 2) as t*n**2 + y*n**3 + f*n**4 + l + g*n and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-26))**(-1\/34)\/(h**(-3\/32)*h\/(h\/h**34)) assuming h is positive.\nAnswer: h**(-18029\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*r + 6 - 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.5 (c) 2 (d) 5295 (e) -3 (f) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183881000.\nAnswer: 2, 5, 183881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44301 (base 8) in base 10?\nAnswer: 18625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*c + 18 = -0*c, c = 2*w. Let v be (25\/(450\/(-12)))\/(2\/(-6)). Solve 4*f - v*m - 16 = 0, -5*f - w*m = -m - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*u + u + 24, 2*u + 2*a = -2. Suppose 8 = -2*i + u*j, -5*j + 27 = 4*i + 4. What is the third derivative of -3*p**3 - 2*p**i - 35*p + 35*p wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111235 - 34013 = -68*z. Calculate the remainder when z is divided by 707.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/7 and -28\/61265.\nAnswer: 428855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 29*t - 132 = -2*r, 33 = t + 2*r. Calculate the greatest common divisor of t and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 282*k**2 - 3528*k - 77733. Give y(-270).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/(-15)*35*(-44)\/(-154).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) 2\/19 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/25 - 17\/100. Let y = 0 - 5. Let i be (y - -3 - -1)\/6. What is the smallest value in -4, w, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10443 and 3009?\nAnswer: 177531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-13 - -38) + -14 - (1 + 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -82 - 42 - -192 - 135\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3203 - -10?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126964485 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) + 2318\/18. Suppose -5*n = 25, -4*j - 3*n + 0*n + d = 0. Suppose -204 = -4*p + j. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 102\/325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 2. Let d = -260 - -257. What is q(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 11*c - 5. Let q = 9 + -19. Determine o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-134)\/(-5))\/((-1428)\/(-1275)) + 4\/(-84)*9?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80957011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15748 - 692. Suppose -2*h - 52643 = -5*c, -5*c - 4*h + q = -37593. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*t**3\/5 - 38*t**2\/5 + 264*t\/5 - 72\/5.\nAnswer: -2*(t - 3)*(t + 6)*(7*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + (-16)\/(-7). Let n(j) = 3*j + 0*j - c*j. Let g(o) = -145*o + 514*o - 186*o - 185*o. What is g(n(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 + -4.88. Let d = b + 4.5. Let u = -3 + 8. What is the closest to -1\/4 in u, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142 + 141.84. Let l = -20 - -19.28. Let i = q - l. What is i rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*g + 27 - 9 = 0, 5*l + g - 5 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2592 = -328*g - 250*g + 650*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-143)\/(274560\/4896)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341008 by 85252.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26590343?\nAnswer: 13, 31, 65981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031793 is divided by 1630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 1934 + 992. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -869312, -1738749, -2608184, -3477617, -4347048?\nAnswer: -5216477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/68170 and -21\/2?\nAnswer: 68170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = 40*k - 86*k + 33*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h - 20 - 6*h + 21.\nAnswer: -12*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0122*-873\nAnswer: -10.6506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:27 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*((b*b*b*b**(2\/3)*b*b*b*b)\/b*b)\/b)\/((b**(2\/7)*b)\/b**(3\/4))*b\/((b**0\/b)\/b)*b**(3\/5)*b*(b*b**(1\/2)\/b)**(1\/17) assuming b is positive.\nAnswer: b**(26849\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7228 divided by 4?\nAnswer: -1807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 7. Let h = 47306 - 47308. Let q be 1 - 1 - 4 - -1. Let g(m) = -2*m - 8. Give h*g(v) + q*y(v).\nAnswer: -2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 3*k. Suppose 2*h = -k + 4. Solve -5*u = 3*f - 1 + 36, -3*u - 22 = h*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 22*j - 41 - 43 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 234.5*-0.16163\nAnswer: -37.902235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r - 86*r + 28 = -182*r + 39*v - 40*v, 26 = -2*r + 3*v for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/3*((-1)\/1)\/((-910)\/(-546))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2767, 5539, 8323, 11119?\n\"Answer: 6*l**2 + 2754*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**3\/6 - 28*i. Let y(u) = -5*u**2 - 1. Determine t(y(w)).\nAnswer: 5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -2368.685665 and 178.2.\nAnswer: -2190.485665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i + 9 = -44*i, -g = -3*i + 31. Sort 18, 3, g, -3 in increasing order.\nAnswer: g, -3, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 24*y - 18 = 3*x, 0 = y + x + 12. Let n be 12\/(-8)*(7 + y). Which is smaller: n or 19\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*-4*sqrt(960))\/(sqrt(96)\/(sqrt(72)\/(-3*sqrt(9)))*-6).\nAnswer: 40*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - 6. Let k = 4 - m. Solve -2*n + 3*w = 8, 4*w + k = -5*n + w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3270))\/(((-32)\/9544)\/2). Let i = w + 17\/1308. Calculate the common denominator of 33\/10 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91572695 to the power of 1\/2, to the nearest integer?\nAnswer: 9569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 6*h**5\/5 + 52*h**4 + 16*h**3 - 52*h**2 - 86*h\/5 = 0.\nAnswer: -43, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19999 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*j - 21, 4*a - 19 = -3*j + 8. Let t(y) = y**3 - y**2 - 4*y + 2. What is t(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8729 is divided by 8711?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2800))\/(sqrt(12)\/sqrt(75)))**2*2.\nAnswer: 35000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 118.559.\nAnswer: 2963.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.0316 + 11.0316. Which is the smallest value? (a) s (b) -2\/13 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = 5*f - 41, -4*j = 5*f - 54. Suppose 17 = 9*x - f. Let u(y) = y**2 + 3. Let i be u(0). Is i >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 11:52 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4640 = 311*d - 28*d + 3001 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - v**2 - 1 - v**2)*(13*v**3 - 40*v**3 - 46*v**3).\nAnswer: 146*v**5 + 219*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/12 - 363*u**2. Let f(q) be the second derivative of q**4\/3 - q. What is a(f(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(252)) + (((sqrt(35) - sqrt(175)\/sqrt(5)) + sqrt(35))\/sqrt(5) - sqrt(7) - (1*sqrt(175) - sqrt(7))) + 2 + -1.\nAnswer: -10*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*k + 1. Let h = k - -3. What is the first derivative of -w**h - w - 2 - w + 2*w wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 49*w + 42 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 8*b**2 - 14*b + 11. Let c be f(5). Suppose -450 = -c*m + 6*m. Suppose t - o = m, 3*t = -t - 3*o + 159. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j + 4*j**2 - j**2 + j**2 + 2*j**2 + (-1 - 2 + 0)*(j**2 - j**2 - j**2) - j**2 + 3*j**2 - 4*j**2 - 3*j - 2*j**2 + 3*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a + 60*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -67.6 and 7.\nAnswer: -60.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 5, 18038?\nAnswer: 18038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 6 - 11 - 1001*s.\nAnswer: -1001*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -0.5, 0.05, -83?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-78)\/(-30) + -3)\/(4\/15). Which is the second smallest value? (a) v (b) -25 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37.34 or -7060?\nAnswer: -7060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 36*f**3 - 2*f**3.\nAnswer: 35*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.19, -7\/3, 0, 1614?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 2 f when four letters picked without replacement from fccz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/(2\/(-90)). Suppose -n = -4*n - 39. Let p = n + h. Solve 3 + 2 = -i - 2*z, p*z + 8 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.1, 0.4, 2.05, 3668?\nAnswer: 3668","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 128 + 772. Solve w = -18*d + 33*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = 4*v + 340, -3 = 55145*v - 55142*v for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1336*a - 382*a - 1270*a - 152388 = 0 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*b + 5*b. Is ((-58)\/b)\/(1\/15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + -5. Let k(t) be the first derivative of t**3\/3 + 10*t**2 + 41*t - 448. Let r be k(v). Solve r*p = 4*s - 5*s + 20, 0 = 5*p - 3*s - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407774282.8 rounded to the nearest 1000000?\nAnswer: 408000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31838420 by -31838420.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*m - 8 = 0, 5*q + 7*m - 2*m - 5 = 0. Suppose -7 + 5 = -q*w. Let s be w\/(-2 + 52\/24). Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 37 - 16 - 10 - 13*g + 4.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 398*r**6 + 284*r**2 wrt r?\nAnswer: 47760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 169 + 0 + 7\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 108*p**2 - 3*p + 5. Is m(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736340021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 322342 + 25?\nAnswer: 322367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 45?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1030042.\nAnswer: 1030042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 225044.969 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q + 0*q + 2*q + (0*q - 3*q + 2*q)*(6 - 2 - 2) + 3*q + 7*q + 0*q to the form f + o*q and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 356 + 34 = 0. Let f = y - 220. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4195470 and 744990?\nAnswer: 79713930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2802761.\nAnswer: 13, 167, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 14. Suppose -18 = -r*u - 3. Suppose -3*s + 67 = 2*g, 5*s = 9*s - 2*g - 80. Solve u*m - s = -6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/7, -7 in decreasing order.\nAnswer: 2\/7, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70169074 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -89. Suppose -4*f = i - y, 5*f - f - 164 = -4*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 48. Let b = -41 - o. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*h - h + 23, 0 = -5*h + 5. Let y(j) = t*j - 3 - 8*j - 3 + 2. Let q(v) = v. Determine q(y(m)).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdd when three letters picked without replacement from xdsxsxdddxdddd.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -479 (base 15) to base 14.\nAnswer: -526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:32 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -37*b - 126. Let g = -1 + 3. Suppose 1 = -g*n - 7. Sort b, -3, n.\nAnswer: b, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7068 - -7592. List the prime factors of d.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8255.565ml to litres.\nAnswer: 8.255565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.61653 and 3?\nAnswer: 58.84959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, n: 2, l: 4}. What is prob of picking 2 n and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4343\/60 or -73?\nAnswer: -4343\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3\/41, -0.2, 3661, 0.2 in ascending order.\nAnswer: -0.2, 3\/41, 0.2, 2\/9, 3661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22833 and 24413551?\nAnswer: 2537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14520 is divided by 4487?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-274 - -257) + 2 + 19 - 29\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -2, 0, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1037 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 147. Suppose 5*x + 50 = 2*t + 9, -3*x = 4*t - q. What is the lowest common multiple of 14 and (-4)\/22 + 402\/t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38523919 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 221\/3, 1\/3, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.707 to one dp.\nAnswer: -75.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h**2 - 6*h**2 - 2*h**2 + 2*h**2 + h**2 + (h + 6*h - 5*h)*(2*h - 3*h - h) + 31*h**2 + 33*h**2 - 2*h**2)*(1 + 0 - 3).\nAnswer: -114*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 2\/11 (c) -2\/5 (d) 1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-376)\/12 - 1)*-3. Let u = m + -91. Put 2, u, 0, 4 in descending order.\nAnswer: u, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfekeppfpkppppkfp. What is prob of picking 1 f, 1 e, and 1 p?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 + 4*n + 2. Suppose 5*w - 42 = -12. Let t(l) = -l**3 + 7*l**2 - 7*l + 8. What is the remainder when j(4) is divided by t(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3078648*t**2 - 4458241?\nAnswer: 6157296*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366825 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {m: 2, i: 1, h: 1, g: 1, w: 1, z: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(425) + 1 - sqrt(425)) - (-1 + sqrt(425) + -1).\nAnswer: -5*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 - -344. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -56. Suppose 3*t - 4*r = -4542, -m*t + 0*r - 7599 = 3*r. Let g be -762*((0 - 2) + t\/(-9)). What is g rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 67*b**2 - 159*b + 143. What is the hundreds digit of d(-65)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from nunn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4419666407?\nAnswer: 13, 23, 14781493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.765029ml to litres.\nAnswer: 0.007765029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let v(s) = 25*s - 6. Let a be (6\/4)\/(6\/16). Let j(i) = a*k(i) + v(i). Is j(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2063827*c**3*q**3 - c**2*q**2 + 4*c**2 + 59*c*q**3 + 15*q**3 wrt c.\nAnswer: -12382962*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 22782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6063 + 6224 - (109 + 0)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (65\/(-10) - (-5 - 0))*-2. Solve c - 8 = 3*y, -q*c - 9 = 2*y - 0*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -71d1 + -15?\nAnswer: -7206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i*i*i*i*i*i**17))**(-30)\/(i\/(i**(2\/67)*i))**4 assuming i is positive.\nAnswer: i**(38198\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 2*b**3 + b**3)*(-9 - 14 - 27)*(1 - 2*b - 1).\nAnswer: 200*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -55490952985.477?\nAnswer: 55490952987.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/24 - (-262)\/3144. Solve 5*k + 7*k - 60 = g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, -1225, -3084, -5003, -6982, -9021, -11120?\nAnswer: -13279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 11 = -2*d, d + 122*r = 117*r - 23 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d - 4*d**2 + d**4 - 4*d - 4*d + 2*d**4 to m + p*d**2 + z*d + b*d**4 + y*d**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) 1\/6 (c) -22.314 (d) -416\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (56\/(-48))\/(-3 - 51\/(-18)). Suppose g*c + 2 = 8*c. Solve q - 16 = 3*q - c*n, -5*n - 5 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1891 - -1887. What is the nearest to 9 in 4, 0.09, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182408\/13 - 32\/13*w**4 - 2908866\/13*w**2 + 1458056\/13*w - 19312\/13*w**3 = 0.\nAnswer: -302, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 6*r**2 - 8*r - 1. Let k be b(7). Let f be -2*(-4)\/(k\/(-3)). Suppose f*i - 33 = -6. What is the lowest common multiple of i and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -915, -938, -975, -1026, -1091, -1170?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 182, 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + -7 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaxa when four letters picked without replacement from xaxxxxaxxaxxaa?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:14 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 493722*y**4 - y**3 + 5*y**2 + 12623041*y + 4 wrt y?\nAnswer: 5924664*y**2 - 6*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.566 + -2.566. Sort g, -3, 9\/7, 1, -5 in ascending order.\nAnswer: -5, -3, 1, 9\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in 2\/3, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20\/43 in 4, 8, 2\/11, 1\/5, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 2*n + 1, 543*j - 539*j + 36 = -2*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*p + 1 + 5, 0 = -6*p + 3*f + 15. Factor 21\/4*b**3 - 3\/4*b**p + 9\/4*b**5 + 0 - 25\/4*b**4 - 1\/2*b.\nAnswer: b*(b - 1)**3*(9*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7540\/(-420) + 18)*8\/(-18)*(-333)\/222?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(72) - sqrt(8))*-6)\/((sqrt(44)*-2)\/sqrt(11)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfffhhhhfffhfffhfhhf. Give prob of sequence hh.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 - 10*s**4 + 16*s**3 + 24*s**2 = 0. Calculate s.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 102 + -7988474967516\nAnswer: -7988474967414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 1077*f**3 + 3252*f**2 + 2172*f.\nAnswer: -3*f*(f - 362)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-6) - -7)*(-3)\/(-9). Sort f, 5, 5\/4 in decreasing order.\nAnswer: 5, f, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00896124 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-18 + -10) - (-2 + 2 - -18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from hpkhkdhlkpa?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222087 and 5386530.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6118 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbhbvbvhbbbbbbb?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136.5 + -2.5. Which is smaller: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)\/(b**(2\/17)\/b)*(b\/(b*b**0))**(-12) assuming b is positive.\nAnswer: b**(13\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -168151.\nAnswer: 16815.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*15\/80)\/((-15)\/60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y**4 - 1064*y**3 + 18844*y**2 + 6400*y = 0 for y.\nAnswer: -1\/3, 0, 25, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006306444 to five dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhjjyjyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 202323360 + 4?\nAnswer: 202323364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 98*m**2 + 15*m - 73. What is the remainder when l(49) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284773 is divided by 173.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5895\/14 or -422?\nAnswer: -5895\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*d*j**4 + 2*d*j**2 - 2*d + 6*j**4 wrt j.\nAnswer: 360*d*j + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -94, -87, -56, 11, 126, 301, 548, 879?\n\"Answer: 2*w**3 - 7*w - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/936*6*(-4)\/(-6)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -0.0216?\nAnswer: -0.001944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -7 (c) -664958\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*q**2*x**2 - 302791*q**2 + 7*q*x**2 + 334*q - 26*x**2 wrt q.\nAnswer: -24*x**2 - 605582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9142 is divided by 1977?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 37. Calculate the least common multiple of 18 and i(7).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14417 from 0.5.\nAnswer: 14417.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.1, -0.4, -1, -3\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/4)\/l*l*l)**(-4\/15)*(l**7*l)\/(l\/l**(-2\/3)) assuming l is positive.\nAnswer: l**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwkk when four letters picked without replacement from {k: 17, w: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**5\/30 - t**4\/24 - 22*t**2 + 29*t. Let u(l) be the first derivative of b(l). Let k(r) = 2*r**2. What is -3*k(m) - 2*u(m)?\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 10) in base 14?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/60 - 3*p**4\/8 - 5*p**3\/3 + p**2 - 165*p. Determine m(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 258\/(-42) - (-6 + 14)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*a - 16, 3*i + 0*a + a - 12 = 0. Suppose -i*t + 3*t = -60. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1177, -4104, -8819, -15328, -23637?\n\"Answer: -h**3 - 888*h**2 - 256*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 0*o**3 + 0*o**3 - 2*o**3 - 147.\nAnswer: -2*o**3 + o - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3504 - 1977. Is z a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -447698.52 to the nearest 1000.\nAnswer: -448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 7)*(-g - 4*g + 3*g)*(-g**2 + g**2 + 3*g**2) to the form i*g + m*g**3 + p + j*g**2 and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*i**3 + 51*i**3 - 111*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(405) - ((4 + -3 + sqrt(405) - sqrt(405))**2 + sqrt(405))) + 2 - -6*(-2 + sqrt(405)*1)*-6.\nAnswer: -324*sqrt(5) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171.15007 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 35. Let n = d + -4. Put n, -5, 21 in decreasing order.\nAnswer: 21, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 3*r**3 + r**3)*(0*r + 0*r - 2*r + 0*r - 2*r + 0*r + (4 - 3 - 3)*(-1 + 2*r + 1) + 3 - 3 - 2*r).\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 27*t - 34 = 0. Let q = 0.06 + -0.04. Let i = -3.98 - q. Which is greater: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.198983 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-285)\/1235 + (-3)\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/10)\/(j*j**(-2))*((j*j**5*j)\/j)\/((j\/(j\/((j\/j**(-1\/4))\/j)))\/j) assuming j is positive.\nAnswer: j**(161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9179171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c - 2*c + 2*c)*(0 + 4 - 1) - 7*c - 7*c - 3*c)*(0*c + 2*c + 2*c)*(2*c + 0*c + 0*c).\nAnswer: -112*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) + sqrt(102)\/sqrt(6) + -2)**2 - (-3 + sqrt(153) + sqrt(17))) + -3.\nAnswer: -11*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717577880 a multiple of 12374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33266942 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6179 + 0.63. Round u to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24 + 4)*10\/95. Let f = -143\/95 - l. Put 24, f, -1\/2 in decreasing order.\nAnswer: 24, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o = 8. Suppose o*u - 5*u + 3 = 0. Suppose -5*c + 4 = -u. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110377 or -551881\/5?\nAnswer: -110377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 189 = -55*a + 610 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105224 (base 6) to base 7.\nAnswer: 35035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c - 14. Let d(i) = -13*i - 12. Let g(x) = -5*a(x) + 4*d(x). Suppose -2*y - l + 16 = -3*l, -5*y + l = -36. Is g(y) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhjh when four letters picked without replacement from uhhuuhhhujhjhh.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 8:18 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 + -56. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43360 is divided by 517.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + 4*s)*(-7 + 2*s + 7) + 2*s**2 - 2*s**2 - s**2 - 4*s**2 + 4*s**2 + 4*s**2 + (3*s + s - 5*s)*(-3*s + 3*s + 2*s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 293449361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x**(-6)\/x)\/x)*x**(-2\/11)*(x*x**0)\/((x\/(x*x**9\/x))\/x*x) assuming x is positive.\nAnswer: x**(196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3557319852 by 4.\nAnswer: 889329963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 8 - 26. Let n = -21 - m. Suppose n*q - 14*q = -42. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose -3*b + 1 + 8 = u. Let o(r) = 5*r**2 + 4*r + 1. Let x(h) = h. Let f(v) = b*x(v) - o(v). Determine f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-4))\/(-8 - 429\/132 - -11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -5694.5 + 5695. What is the smallest value in 1\/6, 3, x, -5, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5\/5 - 2229*x**4 + 7853222*x**3\/5 - 125438129*x**2\/5 + 104386896*x - 24553280 = 0. What is x?\nAnswer: 1\/4, 8, 1385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 21*d**2 + 81*d - 12. Let q be b(-4). Calculate the highest common divisor of q and 1952.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 n, and 1 d when three letters picked without replacement from {a: 2, c: 3, n: 5, d: 1, u: 5}?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -714, -1427, -2140, -2853, -3566, -4279?\nAnswer: -4992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*g*g**(-1)*g*g\/(g*((g\/(g*g**0)*g)\/g)\/g)*g**4\/g*(g*g*g**(1\/4)\/g)**(-1\/2)*(g*g**3*g*g)\/(g\/g**4) assuming g is positive.\nAnswer: g**(67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 254 = -2*s, -6*g + g = 4*s - 547. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 40. Let l be (-1 - (-2)\/(-4))*-2. Calculate the remainder when f is divided by (-1 - l)*(1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k + 417. Give z(32).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 10:18 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 269*v. Let c(r) = 7*r + 2438. Determine f(c(p)).\nAnswer: -49*p**2 - 32249*p - 5288022","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 6*f**2 - 2*f - 11. Calculate h(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 5:52 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwxgfxwxwgmff. Give prob of picking 3 w and 1 g.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1031 = -4*a + 427, -5*g = -a + 356. Suppose 3*z - 739 = -4*s + 2*s, s = -5*z + a. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24523\/5 or -4906?\nAnswer: -24523\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (201\/134*(-91)\/3)\/(6\/(-972)) a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4683480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**2 - 3935*w - 114100 = 0?\nAnswer: -28, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 93*k - 6. Let q(x) = 93*x - 9. Let c(r) = -3*d(r) + 2*q(r). Let t(n) = -n**2. Give t(c(v)).\nAnswer: -8649*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 + 4*s. Let a(q) = 13*q**2 + 7*q - 2. Let t(i) = 2*i**2 - i - 1. Let r(v) = -a(v) + 2*t(v). Give 7*l(k) + 3*r(k).\nAnswer: k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 19*h**2 + 37*h + 614. Determine b(-19).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13815*-0.149.\nAnswer: -0.02058435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -37*h - 9. Let t(p) = -7*p - 2. Let d(b) = -2*c(b) + 11*t(b). Let w(x) = -x - 1. Let m(a) = -d(a) + 4*w(a). Let f(l) = 23*l. Give f(m(q)).\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376969 is divided by 125643.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -52, 3.\nAnswer: -52, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 i when three letters picked without replacement from uzlli.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 41*t**2 - 39*t**2 - 3 + 2 + 6*t. Let f(p) = -5*p**2 - 13*p + 2. Let n(k) = 3*f(k) + 7*h(k). Let i be 10\/(1 - (0 - 1)). Calculate n(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.9 + 35.4. Let r = b - 21. Let n = r + -8.499878. Round n to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -3. Calculate the lowest common multiple of ((-9786)\/(-39))\/7 - (300\/78 + -4) and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -262, -591, -1052, -1645, -2370, -3227?\nAnswer: -4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -0.1 (b) 2\/9 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y**2 + 2*y - 4. Let h be i(3). Let v be (h\/12)\/(4\/(-6)). Let k be (-1 - 0)\/((-1)\/5). Solve -3*j = k*s + 10, -j - v = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.18 (b) -3\/65 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.57 + 2.97. What is the nearest to -4 in -1\/4, w, 2\/19, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001323272 rounded to 7 dps?\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g - 46*g = -10, -3*h + 305*g - 307*g = -59 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w. Let q(z) = -26*z**2 + 83444. Calculate f(q(l)).\nAnswer: -104*l**2 + 333776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/42 - 68\/(-6). What is the units digit of 471\/n + (-22)\/(-121)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-12 - 0 - (-13 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 184*d - 1462. Give w(6).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b - 84*b + 5819275 = -43*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d + 22. Is o(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5766 = -8*i + 538. List the prime factors of i.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*x + 23 - 15*x - 21)*(-11 + 2 + 2)*(0*x + 2*x + 5 - 4).\nAnswer: -14*x**2 - 35*x - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -356686*o**2 + 1. Let n be (-9)\/(-7) + 2\/(-7). Let x be s(n). Let y = 73315 - x. What is y rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(1\/3)*a)**(-1\/54)\/((a*a**2*a)\/a*a*a\/a**4) assuming a is positive.\nAnswer: a**(-86\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66945 and 40167?\nAnswer: 200835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6247 or 274805\/44?\nAnswer: 274805\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 5*b - 5. Let x(y) = -2*y + 2. Let i(n) = -2*p(n) - 5*x(n). Let m(z) = -9*z. What is m(i(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1146 and 3247329093?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25721 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (10 - 2 - -1) - 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 2*s - 24. Let c be (s\/9)\/(6\/9). Suppose 2*d = 5*z + 322 - 292, -z = 4. What is the nearest to 2\/5 in d, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*s**2 - 1049393 + 1049393 + 24*s in the form v*s**2 + h*s + c and give v.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szzz when four letters picked without replacement from {s: 7, z: 9}.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -14*i**4\/19 + 1810*i**3\/19 + 10698*i**2\/19 + 13806*i\/19 - 4860\/19 = 0.\nAnswer: -3, 2\/7, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118003473 - 200603473. Round b to the nearest 1000000.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -22, 4 in descending order.\nAnswer: 4, 2, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143.6666 + -0.6016. Let s = 20.08 - q. Let v = s + 123. Round v to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9591 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176 + -176.02. Put 3, -4, -2, b in ascending order.\nAnswer: -4, -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 884 - 776 = 0. Put 3, x, -4 in descending order.\nAnswer: x, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237930530\/3 or 79310178?\nAnswer: 237930530\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 20*j**2 + 11*j - 6. Let u be (3 + 5)\/(3\/3*2). List the prime factors of m(u).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396339875 a multiple of 1525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254937151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10149770.\nAnswer: 2, 5, 59, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*b - 14, -6*b + 5*i = -2*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 - -254. Let f = r - 567\/5. Is -1.6 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from saauakqazzza.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (43\/(-602)*14)\/((-4)\/(-296)*-2*1)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 - z**3 + 2*z + 1 + 7 + 0*z**2. Let l = 32 - 36. Let c be f(l). Which is smaller: 1\/14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -711750, -2846995, -6405736, -11387973?\n\"Answer: -711748*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -7) + (3 - -1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9925 in 2\/5, -0.013, 4, -2, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22738517, -22738526, -22738547, -22738586, -22738649, -22738742, -22738871, -22739042?\n\"Answer: -m**3 - 2*m - 22738514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 710878 - 0?\nAnswer: 710878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65995?\nAnswer: 5, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -714 by -7.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:07 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*(-15)\/7875 - (36595\/420)\/(-13)?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**3\/6 - 65*k + 1. Let q(c) = -45*c**2. What is x(q(o))?\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1248, 5051, 11382, 20235, 31604, 45483, 61866, 80747?\n\"Answer: -c**3 + 1270*c**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 11397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 7:24 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27707153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328 and 46784936?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161885\/373 + 434. Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -539411217705.\nAnswer: -539411217705.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - -2) + 8 + (78 - 75)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + z**2 - z**2 + (-5*z + z + 2*z)*(-z**2 + z**2 + 2*z**3) + z**4 + 0*z**4 - 3*z**4 - 37*z - 6*z**4 + 38*z - 2*z**4.\nAnswer: -13*z**4 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 1 + 22 + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14567*x**2 - 2*x. Let t(c) be the first derivative of c**2 - 6015. Determine t(n(q)).\nAnswer: 29134*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -683 + 683. Sort f, -0.1, 4\/11, -4 in descending order.\nAnswer: 4\/11, f, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 11668?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/48 and 28\/453.\nAnswer: 7248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81708355 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4605*d**3 - 34023 with respect to d.\nAnswer: 13815*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13560918 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.8 - -28.6. Which is the closest to j? (a) -4 (b) -0.06 (c) 60 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167526586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*d + 10, d - 1 + 7 = 4*i. Suppose 2*k + 2*f = 9 + 11, 4*k - d*f - 16 = 0. Let o be (-22)\/(-33) - (-2)\/k. Let y(j) = -5*j**2 - j + 1. Give y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + -10 + (-2 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 + -2200120?\nAnswer: -2121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 - -116. Suppose -o = 1, 0 = -6*y + 4*y - 3*o + u. Calculate the highest common divisor of y and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3240678.\nAnswer: 2, 3, 7, 19, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/4462828 and -113\/7452?\nAnswer: 361489068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v. Let f(r) = 151032*r. Give f(s(x)).\nAnswer: -302064*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(4\/5)*(h**(-1\/2))**(2\/29)*(h**(2\/7)\/h**(-3\/4))\/((h\/(h*h*h\/h**1*h*h))\/h**4) assuming h is positive.\nAnswer: h**(6497\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4759 times -0.4?\nAnswer: 0.19036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133975 divided by -5825.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 2)*(-6)\/24*-8. Let c(i) = -1. Let m(h) = -7*h - 4. Give s*c(z) - m(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - 27?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2837 divided by 488\nAnswer: 2837\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c0788 - -5?\nAnswer: -7c0783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0, 3\/4, 1\/6, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 24*j**2 + 15*j - 47. What is p(-10)?\nAnswer: 2203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(637) - (-2 + 2 + sqrt(637))**2) - (2 + (sqrt(13)*4)**2 + sqrt(13) + sqrt(468) + -1).\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*u - 6, 5*u + 2*a - a = 13. Factor -55*i**u + 55*i**3 + 10*i**2 - 2*i - 10*i**4 - 3*i + 5*i**5.\nAnswer: 5*i*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(-3 + sqrt(931)))**2.\nAnswer: -168*sqrt(19) + 3760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 1440*k + 103680.\nAnswer: 5*(k - 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733487648 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i - 1. Calculate the remainder when 43 is divided by j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = l - 1. Let p = 16 + l. What is the remainder when 37 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) - (-46)\/10. Suppose 3*w + 281 = 4*i, -i - 3*w = -3*i + 145. Suppose 0 = -z + h*z - i. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3560.037mg to kilograms.\nAnswer: 0.003560037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, -3, -0.1, 2\/11 in ascending order.\nAnswer: -3, -0.1, 2\/11, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.54405 + 0.14405. What is the closest to 0 in -0.2, 4, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13500 (base 15) to base 2.\nAnswer: 1111000110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*48\/(-264)*(-33)\/9*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 20*d - 7. Let o be l(19). What is the highest common factor of o and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -289*x**4\/2 + 198*x + 545. Differentiate v(a) wrt a.\nAnswer: -1734*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*y - 60 = 159*y. What is the remainder when 35 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) 4\/3 (c) 8 (d) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b*n*t**5 - 4*b*n*t**3 + 4*b*t**3 + b*t**2 + 9*b*t - 4*n*t**2 wrt t.\nAnswer: -240*b*n*t**2 - 24*b*n + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 28. Suppose s = 18*p - 13*p. Suppose p = -129*j + 131*j - 104. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2.5. Suppose -3 - 22 = -5*z. Which is the smallest value? (a) z (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 + l**3 + 0*l**3 + 0*l**3 + 3*l**3 + 0*l**3 + l**3 - 1 + 1 + (l**2 + 2*l**2 - 4*l**2)*(2 - l - 2).\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 2*g**3 + 4 - 4 - 4*g + 5*g**2 in the form d + u*g**3 + a*g**2 + m*g and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-2*l**3 + 2*l**3 - 2*l**3) + 2*l**3 + 2*l**3 - 2*l - 2*l**3.\nAnswer: 6*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-171)\/(-4671)) - ((17 - 39) + 13)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -21.02. Suppose 5*v + 5*p = 40 + 5, -2*p - 30 = -4*v. Let j be v\/(-224) + ((-18)\/(-14) - 1). What is the closest to j in d, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-15))\/((-35)\/(-21))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (320\/75 + -4)\/((-816)\/340)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/1764? (a) 0.5 (b) -52 (c) -4 (d) -3 (e) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 55, 127, 227, 355, 511?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y. Let l(n) = 1548*n**2 - 4905. Calculate a(l(k)).\nAnswer: -4644*k**2 + 14715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244891262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*u = -214399974, -v = 8*u - 9*u - 53599993. Suppose -5*y = -x - 67000003, -y + 3*x = -5*y + v. What is y rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*u - 61*u + 22*u)*(-3 + 24*u + 3 + 53*u).\nAnswer: -1617*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8398 divided by 17.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*g + 61*g + 1359*g + 135110 = 0 for g.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (22\/(-12)*-3)\/((-26)\/(-2704))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k - 12*k + 0 - 2)*(4*k**2 - k**2 - 2*k**2).\nAnswer: -k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/7 of a week in days?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 16. Let f = 30311751.9999995 - 30311760. Let z = f - p. Round z to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**4\/2 - r**3 - r**2\/2 - 4. Let a be w(-2). Solve -4*c - a = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m*m**(2\/3)\/m)))*m)\/m**(-3))\/((m*m**(2\/11)*m)\/(m\/(m\/((m\/m**(1\/5))\/m))*m)) assuming m is positive.\nAnswer: m**(487\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-19) + (-1843)\/(-361). Solve h - b*a + 2*a = -16, -5*h = 2*a - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/22 and -27\/164?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**3\/3 - 5*j**2 + 8*j + 1. Let l = 98 + -5. Calculate the remainder when l is divided by m(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) - 102\/(-15). Suppose t*x = 4*x + 16500000. What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -14 (b) 1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*s - 3*s. Let h = 13 - s. Suppose -n = 4*p + n - 14, 5*p - n = 35. Calculate the smallest common multiple of p and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281*b**2 - 3*b + 226*b**2 - 539*b**2 + (b - 3 + 3)*(0 + 2*b + 0) to the form u*b + w + n*b**2 and give n.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*j - 3*j + 22*j + 15*j - 63*j + 8*j.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14*h + 16*h = 52, 4*h = 4. Let j(i) = -i**2 - 9*i - 2. Let c be j(-4). Let x be 194\/c - 2\/(-9). Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 13*v**2 + 13*v - 2. Let k be (-8)\/28 + (-144)\/(-14). Let s be b(k). What is the tens digit of 8\/(-28) - s\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyyyycy. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9879, 79222, 267447, 633996, 1238311, 2139834, 3398007?\nAnswer: 5072272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24313 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: How many minutes are there in 839465.1 microseconds?\nAnswer: 0.013991085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102138124 to the power of 1\/2, to the nearest integer?\nAnswer: 10106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/8, 3, -52, -8, -2\/327, -4, 1\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 104*m - 2669. Let y be k(47). Solve -40*a - 60 = -y*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*r + 7448350 = 208*r. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - -0.31. Let l = 0.5 - k. Let u = l + -0.1. Is 3 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009851 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 15 + 14)*(t**3 + 5*t**3 - 5*t**3) in the form d*t**2 + b*t + n*t**3 + a and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*(-5 - -25). Suppose -4*l + 4*k + 20 = 0, -3*k = 2 + x. What is the remainder when (-2)\/(-4)*(-1 + 3) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 6858?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/((96\/28)\/(-8)). Sort k, 4, -5, -2 in ascending order.\nAnswer: -5, -2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 60 = 7*x. Suppose x = 4*n + 5*t + 5, -t + 5 = 3*n. What is n rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-247)\/26)\/(-19))\/(29\/(-4))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 9:48 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115025 divided by -5?\nAnswer: -823005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.5262 plus 1507590?\nAnswer: 1508388.5262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.28 and 18?\nAnswer: 23.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 5. Let g be a(2). Let o(l) = -l**2 + l. Let m(y) = 3*y**2 - 3*y. Let q(s) = g*m(s) - 5*o(s). Factor q(v).\nAnswer: 2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 - 147. Solve -4*s = -u*s + 4*y - 25, -3*y + 20 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -226, -405, -604, -823, -1062, -1321, -1600?\n\"Answer: -10*a**2 - 149*a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38304, -40200, -42098, -43998, -45900, -47804?\n\"Answer: -l**2 - 1893*l - 36410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 = 24*f + 4*m + 6*m - 1614, 0 = -5*f + 3*m + 269 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87689479470 minus -0.098?\nAnswer: 87689479470.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 7:29 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 122*g**2 - 1. Let j(y) = -y**2 + 5. Let i(d) = 2*d**2 - 9. Let w(s) = -5*i(s) - 9*j(s). Determine v(w(c)).\nAnswer: 122*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 362406 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -1\/2, -0.1, -4.053, 0, 5, -2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - (-39)\/(-21))*-22 and -37\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 84663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61956 and 936?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15056564?\nAnswer: 2, 59, 63799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1894*u = 19116 + 71796 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, z: 3}. What is prob of sequence zzzt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 5*t - 2*d = -12, 4 = -t + 2*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*k - 934 - 1034. What is the greatest common factor of 205 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**2 - 27*i**3 - 8*i**2 + 31*i**3 wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 221*w**2 + 99*w - 1208. What is d(-110)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2403 - 82489886389.\nAnswer: -82489888792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.38, 3, -0.03, 2 in descending order.\nAnswer: 3, 2, 0.4, 0.38, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 2. Let k be t(0). Suppose -2*j - j + 4*p + 126 = 0, -k*p - 86 = -2*j. Let g be (-2)\/7 + j\/14. Put -3, g, -5 in descending order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2896 and -83\/33304.\nAnswer: 66608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 0*j**2 + 2*j**2)*(-274*j - 255*j - 448*j) - 5 + 8*j**3 + 4 - 10*j**3 in the form f*j**3 + t + n*j + v*j**2 and give f.\nAnswer: -1956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8582 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.916 - -6.8. Let u = 1.8754 - 2.0914. Let h = u - n. What is the nearest to h in 3\/2, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 610 and 7?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y - 6*y - 5*y + 27 + 2*y. Suppose -9*s + 5*s + 184 = 0. What is the remainder when s is divided by n(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/120 - t**5\/15 + t**4\/8 - t**3\/6 + 4*t**2. What is the least common multiple of y(-5) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2733178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16838, -33883, -50938, -68009, -85102, -102223, -119378, -136573?\n\"Answer: -c**3 + c**2 - 17041*c + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 8) in base 11?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196949 is divided by 39341?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124115 - -5?\nAnswer: 124121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/31? (a) -3\/4 (b) -3 (c) -0.175 (d) 5 (e) -0.3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39891?\nAnswer: 3, 13297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 11 + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61166363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 755*c**2 - 30*c**2 - 43 + 92 - 49 + (-4*c + 4*c + 4*c)*(4*c - 2*c + 2*c).\nAnswer: 741*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eofeoofrffrrfffff. Give prob of picking 2 r and 1 f.\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 134032?\nAnswer: 134038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77676 (base 12) to base 5.\nAnswer: -20030302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Solve -g = -0*g - z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o = 99. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204160 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvsecsb. What is prob of picking 1 x, 1 c, 1 e, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 9:30 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 824941.434 to the nearest 100.\nAnswer: 824900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c - 79*c + 41*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -11, -56, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = p - 23, 0 = -4*p + 5*q - 13. Solve -2*u = -3*u, p*j - 9 = u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002459934 rounded to 6 dps?\nAnswer: -0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**5 + 40*c**4 + 100*c**3 + 80*c**2 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 20) + 41 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let l be (-1)\/(3\/((-6)\/(-4))). Let h be 2 + (81\/(-15) - -3). What is the nearest to h in -0.1, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*d - 36176*d**2 - 10*d**3 + 186*d.\nAnswer: -10*d**3 - 36176*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 31*s - 10. Let u be o(-15). Factor -3*j**3 - 5*j + 0 - 32*j**2 + 17*j**2 + u*j**4 + 8*j**3 + 10.\nAnswer: 5*(j - 1)**2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 4*d - 4*d)*(3*d + 2*d**2 - 3*d) + 1649*d**2 - 1649*d**2 + 7*d**5 - 1 - 46*d.\nAnswer: 3*d**5 - 46*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -879, -2579, -5435, -9465, -14687, -21119, -28779?\nAnswer: -37685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36488 is divided by 1839?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.783 times -2.2856?\nAnswer: -26.9312248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19328 - 19325. Let t(h) = -h - 4. Let k be t(-8). Solve -k = 2*p + w*i, 0 = -p + 5*i - i + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 2*z**4 + 2*z**3 + (-21140*z**3 - 9*z**2 + 42341*z**3 - 21372*z**3)*(z + 4 - 4) - 4*z**4 + 6*z**4 + 0*z**4.\nAnswer: -167*z**4 - 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*d - 7*d**2 - 752*d - 27*d**2 + 348*d.\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25605 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -43946 divided by 146?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 12483 = -19*g. Let p = g + 1330. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1857*b - 2. Let q(i) = -133*i + 1. Give -j(s) + 4*q(s).\nAnswer: 1325*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 14*m**2 + 27*m - 22. What is y(-14)?\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103584408 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/20440 and -20\/385609?\nAnswer: 1125978280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/5)*g*g**(-1\/6)*(g\/g**0)\/g*g**(1\/3)*g*(g**0)**(-42)*g**(-1\/4)*g*g**3 assuming g is positive.\nAnswer: g**(283\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1458985 is divided by 290?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -3*n**5\/20 + 7*n**4\/6 + n**3\/2 + 33*n**2\/2 - 245*n. Find the second derivative of c(u) wrt u.\nAnswer: -18*u + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c. Let u(t) = 903*t**2. What is u(z(l))?\nAnswer: 32508*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s + s**5 + (2*s**4 - s**4 + 0*s**4)*(1023 - 22*s - 1023).\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 38968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3493*m**3*r + 101*m**2*r - 991634*m*r + 2*m wrt m?\nAnswer: -20958*m*r + 202*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4 + 8*r**3 - 16*r**2 - 8*r + 12 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llao when four letters picked without replacement from {a: 1, l: 2, o: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223957.6 centuries in decades?\nAnswer: 2239576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(72))\/(sqrt(30)\/(sqrt(70)\/sqrt(7)) - (sqrt(12) + sqrt(588))).\nAnswer: -sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 246 + -168. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201100021001 - -1101?\nAnswer: -201100012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23996 + 23999. What is the closest to -0.2 in i, 39\/5, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 - c + 3. Let w be r(3). What is the common denominator of -35\/12 and (23\/w)\/(-8 + 35\/5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*o + 21*o + 5704 = 26*o - 16*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030844 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 415254201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 481924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -64 (b) 14 (c) 0.176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 697666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068103133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -58258 (base 10) in base 12?\nAnswer: -2986a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 2. Let w(q) = -q**2 - 4*q - 1. Let a be w(-5). Let m(n) = -n - 2. Calculate a*m(b) + 5*z(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.62 rounded to the nearest ten?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}