diff --git "a/data/dm_maths/full_data_2/10032_11255.jsonl" "b/data/dm_maths/full_data_2/10032_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10032_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -2*f**3 - 13808*f**2 + 82920*f.\nAnswer: -2*f*(f - 6)*(f + 6910)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 480\/14*-4*3\/(-36)*7\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 0.7, -0.3, 5, -1 in descending order.\nAnswer: 5, 0.7, -0.23, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -62. Suppose 7 = u - 5. Let r = u - y. Calculate the least common multiple of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, j: 3}. What is prob of sequence jjej?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 3*h. Let s(x) = -x**3 - 6*x**2 - 2*x - 9. Let z be s(-6). Let b be q(z). Let l be (-8 + 3)*(b + -1). Solve l + 4 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*f + 189, -5*f = -3*u - 405 + 61. Let k = f - 62. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1412619299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i - 2*i**2 + 4*i + (4 + 1 - 3)*(2 - 1 + 1)*(-2*i**2 - i**2 + i**2).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 57. Suppose -320*x = -322*x. Calculate p(x).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15203, -60769, -136711, -243029, -379723?\nAnswer: -546793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38468637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/5 (b) 1\/4 (c) 0.3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 131 = -13 - 34 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26327.\nAnswer: 7, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + 202?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d + 53. Suppose x = -2*i + 13, -6*i = 2*x + 4 - 46. Determine o(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4898281 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 154226 - -77?\nAnswer: 154325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/47808 and -29\/1992?\nAnswer: 47808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 + -79. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 + -2301\/8. Put 0.3, 3, a in descending order.\nAnswer: 3, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323.9791g to micrograms.\nAnswer: 323979100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t**2 + 573*t + 1152. Give k(-50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12961 = -492*o - 13088 + 9321 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33949\/140 + -1688\/7. Find the common denominator of -101\/8 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfqwwqhwwriffqrqqqw. Give prob of picking 1 f and 1 r.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let x(b) be the first derivative of 161*b**5\/30 + 7*b**3\/3 + 136. Let w(g) be the third derivative of x(g). Calculate v(w(k)).\nAnswer: 414736*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -75, -71, -67, -63, -59?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10329 not equal to 20659\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 6*l - 3. What is the least common multiple of (-66)\/(-24) - (45\/20)\/(-9) and c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-34)*a)\/a**(-2\/11)*a**(1\/26)\/a*a*a**(1\/16)\/a*a assuming a is positive.\nAnswer: a**(-74857\/2288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = -7. Suppose 2*f = -10, 2*f - 24 = 4*t - 242. Suppose -p*n = n - t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 n when four letters picked without replacement from hhixanpn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f + 37 = 757 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 553018545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*1)\/sqrt(12)*-5.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*12*98\/84?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/14? (a) 1.5 (b) 2.9028 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*d*n**2*p + 2*d*n**2 + d*n*p - 187*d*n - d*p + n**2*p - n wrt n.\nAnswer: 50*d*p + 4*d + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1938 = -g - 1940 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7575, 9018, 10461, 11904, 13347, 14790?\nAnswer: 16233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19939175843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(6\/11)*w**(2\/39))\/((w**(-2\/25)*w)\/((w*w**16*w)\/w)))**26 assuming w is positive.\nAnswer: w**(357716\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 23 (b) 1\/9 (c) 0.5 (d) -0.26 (e) -1\/7 (f) -294.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 16b?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*i = 3620, -9*k = -7*k - 3*i - 1808. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**4\/7 - 36*r**3 + 240*r**2\/7 + 496*r\/7 = 0?\nAnswer: -1, 0, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-27))\/(-1)*900\/40\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1867, -24091, -87067, -211171, -416779?\n\"Answer: -3396*m**3 + 1548*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -30, -1, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390211141?\nAnswer: 11, 139, 487, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, d: 3, p: 1, x: 3}. What is prob of picking 3 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 38 = 2*v, 4*v - y - 66 = -5. Let n(j) = -j**3 + 18*j**2 - 3*j + 37. What is the tens digit of n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 - -95. List the prime factors of h.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/44 - 520\/(-61600)*-35.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/(12\/(-32))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000151 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9\/4 (b) 4\/3 (c) 6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4\/2 - 23*m**3 + 115539*m**2\/2 - 288378*m + 345870 = 0.\nAnswer: -366, 2, 3, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/5, -4\/41, -11, 1, 0.1 in ascending order.\nAnswer: -11, -4\/41, 0.1, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = -130*w + 131*w + 28, 0 = 3*w - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 + 184. Let 0*d**2 + 0*d - o*d**4 + 3\/2*d**3 + 0 + 3\/2*d**5 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113\/10 + 117\/5. Find the common denominator of w and ((-218)\/(-6))\/((-50)\/15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 575699, 1151319, 1726941, 2302565?\n\"Answer: m**2 + 575617*m + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 23*i + 2*r + 17 = 0, -i - 37 = 6*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1. Suppose -124*a + 70 = 159 + 159. Let d be (4\/3 - -1)*-3. Let v(l) = l - 4. Determine a*v(t) + d*i(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -220121000?\nAnswer: -220121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672529147?\nAnswer: 5569, 120763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 4379825.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 44999*c - 2523084. What is g(-56)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -105. Let g(h) = -6*h**2 - 4. Let t(c) = -6*c**2 - 3. Let i(u) = 4*g(u) - 5*t(u). What are the prime factors of i(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -b + 6*b + 4, -3*k = 5*b + 6. Solve -h - 2 = -m + h, -3*m + 4*h + 8 = b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 + c + 11. Let o be i(-6). Suppose -2*p - 4*w = -6, 3*w = p - 3 - 0. Solve 2*n + p = -o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 26*f**2. Suppose 14 = v + 3*d, -19*d + 18*d = -4. Let n(b) = v*b + b - 3*b + 0*b + 9*b. Give n(x(p)).\nAnswer: 234*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 0*y - 2*y)*(5 - 2 + 2) - 2 - 2*y + 3 + 5 as u*y + z and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*q + 11 - 8, 0 = -2*q - 2*z - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpep when four letters picked without replacement from pqepqqpp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:19 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(95)\/(6*sqrt(80) - sqrt(5)).\nAnswer: sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxxxxeexeaex. What is prob of sequence eoex?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g**4 - 9*g**2 + 11*g - 5. Let o(j) = 15*j**4 + 9*j**2 - 11*j + 6. Let c(l) = -7*b(l) - 6*o(l). What is the second derivative of c(t) wrt t?\nAnswer: 96*t**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 49*u**2 + 5 + 2*u + 4.\nAnswer: 49*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)*i)\/(i\/i**7))\/((i\/(i**1*i)*i)\/i)**(-6) assuming i is positive.\nAnswer: i**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*q = -16, -43*l + 45*l - 5*q + 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 947*q**2 - 1556 - 316*q**2 - 322*q**2 + 778 - 311*q**2 + 778.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/31, 6, 2 in ascending order.\nAnswer: 3\/31, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*g = -30, 2*z + 364*g - 10 = 363*g. Let o(x) be the third derivative of x**6\/120 - x**5\/10 - x**4\/12 - x**3\/3 + x**2. Give o(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -11 (c) 1\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/48*16\/(-1)*-16?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 10*b - 5. Let t be o(-11). Let p be ((-30)\/(-9))\/(4\/6). Do p and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-3) - 2 - -2. Suppose m*l = l + 19200. Round l to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218 - 217. Let r be 3 - 2 - w - 12\/(-24). Which is the nearest to -2? (a) r (b) 5 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**3\/3 + 13*w**2\/2 + 12*w + 4. Let b be 952\/70 + 6\/(-10). Let y be s(b). What is the highest common factor of y and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + v**2 - v - 2. Let w be k(0). Let y(s) = -3*s**3 - 3*s**2 - 4*s - 4. Let u(m) = -m**3 + m**2 + 1. Let g(b) = w*u(b) + y(b). Determine g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 12*g**2 - 3*g + 26. Determine u(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (240\/(-36))\/(2\/(-12)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nttwewnttz. What is prob of picking 1 n and 1 t?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123461660 divided by 287?\nAnswer: 430180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.876, -5, 11\/79?\nAnswer: 3.876","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3652 - 3616. Solve -2*x = -4*l - 3*x + 20, 4*l = -5*x + j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4216609 to the power of 1\/2, to the nearest integer?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - a. Let n be f(-1). Let q be (-14)\/(-28) - n\/4. Solve -b = -q - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 - 21*s**2 + 7*s + 46. Let f be h(9). Let j = f + -553. Does 42 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115003245 (base 7) to base 12.\nAnswer: 24a1959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20911690*z**2 + 8013852*z - 6?\nAnswer: 41823380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1664)\/(-272) - 6) + 12\/(-969).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-2 + (-2 - -1) + -15)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 31360 = 2*y, 364*y - 365*y + 4*l = -15688. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 9:10 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17291660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*y = y + 28, -2*y - 12 = -2*v. Let u be 32\/6 - (-1)\/(-3). Sort u, v, 0 in descending order.\nAnswer: u, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0548 and 60297017016?\nAnswer: 60297017015.9452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -103 + (55 - -122) + -41\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5 + 25834*o**4 + 51662*o**3 + 25830*o**2.\nAnswer: 2*o**2*(o + 1)**2*(o + 12915)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Which is the second biggest value? (a) 0 (b) -3\/4 (c) -2 (d) 18 (e) -0.1 (f) -2.802 (g) 2\/55\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -34, -151, 6 in decreasing order.\nAnswer: 97, 6, -34, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2 (c) -0.19 (d) -1 (e) -91594\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(304) + -2 + sqrt(19)*2.\nAnswer: -5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.52*1.13.\nAnswer: 51.4376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*z + 3)*(2*z - 2*z - 2*z + (2*z + 0*z - z)*(-4 + 1 + 0)).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12489 + -24489. What is i rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*x + x - 3*a, -4*x + a = -72. Solve 0 = 5*l - z + 20, z = -3*l + 3*z - x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(33) - sqrt(132)\/sqrt(4))*-2)\/sqrt(11).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 724 + -144. Let i be (w\/12 - -1)*-75. Round i to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606 divided by 1.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4396482 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Suppose p = -4*f + 7 + 69. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*y - 9, 6 = 3*f - y - y. Let s(c) = c - c - c - 8. Give s(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a + 12. Suppose -5*r + r = -k - 18, -2*k + 12 = a*r. Suppose 4*i + 20 = 0, -i - 8 = -r*b + 9. Let y(w) = 3*w - 1. What is y(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4809154 is divided by 1537?\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 4*j - 20, 0 = -g - 442*j + 445*j - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hen when three letters picked without replacement from hehnhnnen.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d. Solve d = 5*l - l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07152, -0.3, 31?\nAnswer: -0.07152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 30503766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/84)\/(108\/32).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -99847*h**2 + 1. Let v(g) = -4*g. Determine v(l(k)).\nAnswer: 399388*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -14, -1, -0.06, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 99 = -c + 3, -3*a - 104 = -c. What is the common denominator of (3 - c\/32)*1 and 561\/(-252) + (-150)\/175?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 145. Let b = 224 + -249. List the prime factors of 4\/10 - y\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j**3 - j**3 + 6*j + 5 + 1775376*j**2 - 1775369*j**2. Let z(m) = m**3 + m**2 - m + 1. Give x(f) - 5*z(f).\nAnswer: f**3 + 2*f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358533 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: Suppose -v + 373 + 98 = b, 1888 = 4*v + 2*b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/22*8\/(-3). Let x be 1\/(-2*v\/8). Let k(f) = 3*f - 2. Let c(b) = b. Determine x*k(s) - 5*c(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -l + 12 - 29, -3*i = -3*l - 21. Let w be 4 + (2 - 1) - 6. Let m(n) = -16*n**3 - 5*n**2 - 2*n. Calculate the least common multiple of m(w) and i.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 5. Let q be o(-4). Put -4, -3, q in descending order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18819930 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 226266 - -3121?\nAnswer: 232420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5431 - 16291\/3. Let h = -345 + 348.02. Let r = -0.02 + h. Which is the closest to q? (a) 2\/9 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 346.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 46 - 2*a + 3*a.\nAnswer: a + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - -4 - (352 - 341)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1869 (b) 2\/11 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {q: 11, g: 4, w: 2}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -61\nAnswer: 3.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 37. Suppose 3*w + 2*w = -k. Suppose -29*f + 27*f + 4 = 0. Put f, w, 5 in decreasing order.\nAnswer: 5, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10 - 0. Let g be 25\/10*(-4)\/(-6)*3. Let n be (-9)\/x + g\/10. Let b(o) = -o**2 - 4*o - 1. Give b(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2 + 0 + 3*t - t. Let a(n) = -2*n + 2. Determine 5*a(m) + 6*o(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48209\/440 - 548\/5. Let f = -567\/1144 - u. Let h = 43\/65 + f. Does h = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -3 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277132 (base 8) to base 13.\nAnswer: 35725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*x + 71 = -0*x, -208*x = -12*g - 3*g - 2867 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 21591.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.998264\nAnswer: 0.0998264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723432 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((6 - 3)\/(-8094)). Let h be b\/(-6) + 8\/(-6). What is h rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286.6 - -287. Which is the second smallest value? (a) -2 (b) y (c) -3 (d) -1\/4 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 382 - 238 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47213 and 135547.\nAnswer: 4201957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwpd when four letters picked without replacement from pdrqwpf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.67 and 554.1.\nAnswer: 558.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4472.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44110 (base 5) in base 10?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/8*g**4 + 0 + 21\/4*g**3 + 0*g + 39\/8*g**2 = 0. Calculate g.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**3 - h**2 + 1. Suppose 0 = -4*d + a - 10, -7*a = -2*a - 10. What is the remainder when 4\/4 + 20 + d is divided by t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -4 (c) 2 (d) 287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202001300012 (base 4) to base 16.\nAnswer: 881c06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (24 + 3 - (0 + 1)) + -116 + 78 + 53\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 37615*j**2 + 37618*j**2 - 75231*j**2. Let a(b) = 3545*b. Calculate a(q(u)).\nAnswer: 7090*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 147*o**3 - 5*o**2 + 10. Let u(h) = 147*h**3 - 6*h**2 + 12. What is -5*u(j) + 6*x(j)?\nAnswer: 147*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 12) to base 13\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2. Let v(t) = t + 21. Let k(l) = -1773*l - 33096. Let h(q) = -3*k(q) - 4728*v(q). Determine h(z(u)).\nAnswer: -1773*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26270 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 3*p - 8*o - 152, 48 = p - 3*o. Which is the nearest to 6? (a) -3 (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2747 or 2751?\nAnswer: 2747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100100101111011 - 100111?\nAnswer: 1000100100101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 622101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23312022 < 23312026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*p**3*y**4 + 1557*p**3*y**3 - 634*p**3*y + 80*y**2 wrt y?\nAnswer: 1704*p**3*y + 9342*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.0077109 to 1 dp.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 170 = 5*t, 0*b + 102 = -3*t + 3*b. Let g be (-2)\/4*(t + 0). Let n = g + -15. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from bmmrfbmbtbf?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11681735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = -5*k, -2*c - c - 12 = 0. Let t be (-12)\/234*-3*26. Suppose 2*d = 3*d - 2*p - 10, -18 = d + 5*p. Sort t, k, d.\nAnswer: k, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1508860373 to five dps.\nAnswer: 0.15089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 2. Let w be f(4). Let l = w - 3. Let p = -26\/15 - -191\/105. Is p bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46566 - -25020?\nAnswer: -21546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7128, 7159, 7188, 7215?\n\"Answer: -n**2 + 34*n + 7095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/9376 and 113\/896.\nAnswer: 262528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 9*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 13765*m - 206246. Calculate l(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2108 and -4*28\/(-40)*1210\/847.\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 6*o + 21*o**2 + 4 - 15*o**2 - 3 - 2*o**3.\nAnswer: -2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7440 divided by -465.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -126*b - 43. Let u be i(8). Let r = u + 1473. List the prime factors of r.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0458594031 - -2253132408.9541405969. Let m = t + -2253132394.60000131. Let c = m - 14.4. What is c rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -603 - -1183\/2. Find the common denominator of -59\/12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:01 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*a**4\/7 + 2392016*a**3\/7 - 71188*a**2 - 24916*a\/7 = 0 for a.\nAnswer: -1\/24, 0, 1\/4, 6229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221212000 (base 3) to base 2.\nAnswer: 100100110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -7*u + 0 + 0*u**3 + 0*u**2 - 1\/12*u**4. Let s(q) = 10*q**2. What is s(n(j))?\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 39.2 and -0.367471485.\nAnswer: 38.832528515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120 (base 3) in base 4?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 3*h - 28 + 21, 4*h + 14 = 2*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*q + 3*b + 3, 4*q = 3*b + 1. Let m be 6 + -1 + 2 + -3. Let c = q + m. Solve 3 - 9 = -c*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-1 - 1) + (-39 + -4 - -39).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k*k)\/(k*k**(1\/2))*k\/k**(-9\/4)*k**11\/k assuming k is positive.\nAnswer: k**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-84 + -4)\/2*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/7 (b) 1 (c) -4 (d) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 2*z - 5*z + (0*z - 4*z + 2*z)*(0 + 1 + 0) + z + z + 0*z + 110 + 57236*z + 119 - 440 + 110 + 101.\nAnswer: 57235*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * 0.0827148.\nAnswer: 0.1240722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 28 = -3*q - 3*o, -9 = 188*q - 184*q + 8*o - 41 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*x + 11, -5*x - 2*i + 4*i + 13 = 0. Let q be -1 + (-1 - x) + 3. Suppose -9 = 2*w - 5*y, q*w - 2*y + 3 = -w. Sort w, -4, -1.\nAnswer: -4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2338732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y + 6. Let z(f) = -3*f + 1. Let h(p) = p - 1. Let i(o) = -2*h(o) - z(o). Calculate -2*b(v) + 12*i(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2)\/(208*143\/475904).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6223 and 16510.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63716575 or 63716578?\nAnswer: 63716575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*u**2 + 14*u**3 + 95*u**2 + 83*u**2 - 24*u**3 - 262*u**2.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 - -136. Suppose -156 = v*b - 174. Solve 5*m - 2 = -3*a, b*a - 5 = 4*a - 4*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 91.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (72\/16)\/(23\/(-46))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104\/15 - 18\/5. Let i = w - 31\/12. Let k = 0.1 - 0. Which is the third smallest value? (a) k (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4193640 and 5020?\nAnswer: 1052603640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1653 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8677574 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(567) + sqrt(567)*-2)*-3 + sqrt(567) + sqrt(567))**2*3*5.\nAnswer: -20250*sqrt(7) + 639000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2027 - -205573.5?\nAnswer: 203546.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.507 and 0.3?\nAnswer: -2.5521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**7\/315 - 2*d**6\/225 - d**5\/75 + 4*d**4\/45 - 7*d**3\/45 + 2*d**2\/15 + 2*d - 14. Find j, given that m(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g + 2. Let k(j) = -5*j - 2*j + 3 + 4*j - 4. Calculate -7*k(h) - 4*z(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24561968833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*n - 4*l - l - 5025 + 4775, -2*n - 42 = 5*l for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -133\/3 (c) 65 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2086780 by 65.\nAnswer: 417356\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**4 + d**3 + d**2 + d + 19. Let o(j) = 8*j**4 - 585*j**3 - 3324*j**2 + 2837*j + 1087. Let f(v) = -4*b(v) + 4*o(v). Determine k, given that f(k) = 0.\nAnswer: -6, -2\/7, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 13*x + 14. Let k be z(11). Do -8 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, -26, -1\/2, 7\/5 in descending order.\nAnswer: 3, 7\/5, -0.3, -1\/2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - 2 - (-80 - (-248603)\/5920).\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-135)\/18))\/((-484)\/(-55))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grwgrrrrrgggrw. What is prob of picking 1 g and 2 w?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313\/6 - 1561\/30. Which is the closest to -0.1? (a) -2\/19 (b) -4 (c) 1\/5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 194 = -138. Let m = -86 + i. Let q(h) = -h**3 - 6*h**2 - 4*h + 7. Let l be q(-5). Sort 4, l, m in increasing order.\nAnswer: m, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.66 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xuxmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 6*o + 9. Let f(k) = -3*k**2 + 7*k + 10. Give -6*f(p) + 7*t(p).\nAnswer: -3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 228, 812, 2118, 4518, 8384, 14088?\n\"Answer: 62*k**3 - 11*k**2 + 183*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 12. Suppose t = -2*w, -i - 2*i - 3*w + 9 = 0. Solve k - i = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpoppommpvovpop. Give prob of picking 1 m and 1 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 + 3834\/(-222) - (-6 - -1). Is 0 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -160*x**2 + 3521*x - 26. Calculate u(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6219 = 4*f - 1017, -4*f = -16. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -4) + 21 + 1 + -7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 bigger than 802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -52?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/27*(-14 + 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 + 11*n + 18. Let t(h) = 5*h**2 - 11*h - 19. Let r(d) = 6*q(d) + 5*t(d). Let j be r(-14). What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 33a604?\nAnswer: -33a607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25703 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-100))\/((-11)\/55). Let x = -2 + -1. Which is the nearest to 1\/5? (a) p (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 7 = -3*i + 2*w, -i - 3*w = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491927 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 + 1. Let p be z(-1). Calculate the remainder when (-116)\/6*p\/2 is divided by 13 + (1 - (-1 - 0)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-150)\/(302\/(-852) - 10\/(-30)). What is i rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adamafaaamkaaamamd. Give prob of picking 1 d and 1 f.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (4 + -4)\/(-2). Suppose -5*y + p - 5*p + 2 = 0, -4 = a*p. Suppose y*i - 2*z - z = 521, 3*i - 2*z = 784. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/10)\/(61\/(-610)). What is the closest to -1 in s, 17, -2, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**2*s**4 - 14*k**2*s**2 - 9*k**2*s + 201*k*s**5 + s**2 - 10 wrt s?\nAnswer: -72*k**2*s + 12060*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = -5 - 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 61*0.5\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1896*l**3 - 384*l**3 + 1147*l**3.\nAnswer: 2659*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -40 - 2*j**2 + 4*j + 4*j + j**2 + 8 + 10*j = 0.\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101 + 0*z - 33 - 2*z - 59*z**2 with respect to z.\nAnswer: -118*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 2*g + 5*u, -3*g = -7*g - 4*u + 520. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*u - 387*u = -407740. List the prime factors of u.\nAnswer: 2, 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487701497?\nAnswer: 29, 16817293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - w + 1, -39356*t - w = -39353*t + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-54)\/(-12) + -7)*(-28)\/(-35))\/(-1). Which is the closest to q? (a) 37.4 (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257642.\nAnswer: 2, 7, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21361893979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11665.1 and 0.3.\nAnswer: -3499.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let p(u) = -4*u**2 - 12*u**2 - u**2. Determine t(p(d)).\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*f = -24, -5*f - 50 = -3*m - 19. Suppose -10 - 6 = -4*w, 26 = m*z + 3*w. Let g = z + -5. Solve y = -g*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886451 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Suppose i = -u + 2*j - 7, -u = 2*u + 2*j - 11. Let g be u\/(4\/(-10))*-2. Solve x = 2*k + 1, g*x + 2 - 21 = -4*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8908489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = -3*h - z - 366, -4*z = -5*h + 151. Solve -12*k = -3*k + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 334754070?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1 - (-1 - (-26 + 16))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*m + 740, 60 + 71 = -b + 3*m. Let i = b + 220. What are the prime factors of i?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 19. Sort -2\/3, h, 3 in decreasing order.\nAnswer: h, 3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80 - (-4 - (-2)\/((-4)\/(-14))). Let j(l) = -l - 41. Let d be j(0). Let x = d + t. Calculate the greatest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -245*l**4 - 371909650*l**3 - 141139685609985*l**2 - 80651157840100*l - 11521589640020 = 0?\nAnswer: -758999, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -496 - -3963\/8. Find the common denominator of x and -77\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*v - 4, 21*l + 4*v = 19*l - 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 143, 367, 703, 1163, 1759, 2503?\n\"Answer: 2*k**3 + 38*k**2 - 4*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5*i - 3)*(-78*i**2 + 2*i**4 + 78*i**2) + (-2 + i**4 + 2)*(3*i + 0*i - i).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.46 - -0.04. Let f = 0.2 - -0.3. Let o = j + f. Which is greater: o or 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -74. Let m be y\/6*(-44)\/253. Let u = -0.2 - -0.2. Sort u, m, -13 in decreasing order.\nAnswer: m, u, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1452 and (-1672)\/(-798)*43\/32 + (-3 - 0)?\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 64*z - z**3 - 24*z - 20*z - 205*z**4 - 22*z + 0*z**3 to the form y*z**4 + p*z**3 + o + a*z + f*z**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (42*49\/4116)\/(6\/(-42))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 - 264411*p\/2 + 14005356.\nAnswer: 3*(p - 176168)*(p - 106)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**5\/4 - 10*q**3\/3 - 10*q - 4. Suppose j(v) = 0. What is v?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 43006?\nAnswer: -11\/21503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4243 - -10?\nAnswer: -4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 7:42 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -172*78\/(-14)*14\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/12 + 366\/24)*3. Suppose -15 = 6*w - n. Solve -5*j + 2*t = -33, -2*j - w*t = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 187, -0.2, -1, -134\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03029166966 rounded to five dps?\nAnswer: -0.03029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 2*k = -f - 596, 2*f - 227 = 3*k. Is f a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10352122389827 and -0.4?\nAnswer: 10352122389826.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + (-1086)\/(-15). Suppose 29*l = w*l - 5633. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77789 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4 + 106 = 4*x - k, 4*x + 4*k - 160 = 0 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 - 15*k + 60. Is o(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -27 (b) 2 (c) -1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 4177875.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 17. Suppose -4*g = 4*b, -2*b = 3*g + 3*b. Solve a = q + t, 3*q + t + g = -3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4202, 9470, 14740, 20012?\n\"Answer: w**2 + 5265*w - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - ((-2)\/2)\/1. Suppose 3*h + h - 4568 = f. Let l = h - 763. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398.4704 times 10\nAnswer: -3984.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w + 160 = 0. Suppose 24 + w = 2*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*n**4 - 4 - 8 + 12*n**4 - 31*n**4 wrt n.\nAnswer: -128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/40*1*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v + 3*v**2 - 4*v**2 - 57*v.\nAnswer: -v**2 - 29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5071933706?\nAnswer: 2, 7, 71, 677, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668662 to the power of 1\/2, to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 376 and 2256.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j + 2151977 - 2154417 = 0 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.94142cm in micrometers?\nAnswer: 719414.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332702 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: What is (25\/(-10))\/((-15)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212 + -417. Let a = d - -204. Let u(s) be the second derivative of -s**2\/2 + s. Let g(h) = 2*h + 10. Calculate a*g(t) - 12*u(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2431778 by 15391.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 113*d**5\/15 - 3*d**4\/8 + 232*d**3 - 49*d**2 - 21. What is the first derivative of j(b) wrt b?\nAnswer: 904*b - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-171)\/(-33) - 5) + 93\/33. What is the units digit of o\/24 - 5191\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-140)*1358\/291*(-9)\/510\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*d, -3*d + 11 = 5*b + 13. Let s(n) = -n**3 + 4*n**2 + 3*n + 1. Let r be s(b). Solve -5*a + r + 7 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24852314*1.3\nAnswer: 32308008.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**7\/14 - s**6\/10 - 3*s**5\/10 + s**4\/2 + s**3\/2 - 3*s**2\/2 - 3*s + 6. Let v(t) be the first derivative of d(t). Factor v(g).\nAnswer: 3*(g - 1)**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 1612189511044.9.\nAnswer: 1612189511042.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p + 5*z = -350, 66 = p - 3*z. Let x(b) = b**2 - b + 117. Let h be x(0). Let f = h - p. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1.4, 162?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215099*-129.\nAnswer: 27747771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 19.24, 0.2, -0.035436 in decreasing order.\nAnswer: 19.24, 0.2, 0, -0.035436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4286.86 + -4332. Let k = h - -45. Which is the second smallest value? (a) k (b) 5 (c) -2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021 (base 5) to base 11.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-45)*(-21)\/28*-1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 102\/(-10)*17\/3. Let q = j - -58. Let l = 14\/45 - q. What is the smallest value in l, 0.04, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16034900.\nAnswer: 2, 5, 7, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3598866 and 918.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 = -j, k + 13 = 2*j + 4*k. Suppose 0 = j*s + 5*d - 370, -5*s + 0*d + d + 400 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 1\/3, 4, 2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 519367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -4. Is (1 - l\/(-6)) + 2\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -31. Suppose -3*o = 3 - f. Suppose 2*h = d + 3, -5*d + 5*h = o*h - 1. What is the greatest common factor of 7 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113822 - -113821.49993. Round i to 2 dps.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (3 - -4 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -144, -214, -282?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 33*z - 127 - 521 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.911 + 1.521. Let y = g + -2.61. What is the nearest to -5\/7 in -1\/7, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.2. Let f = 39205 - 39189. What is the closest to 1 in 0.4, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/12 - d. Let c(y) = 37*y**2 - 81*y**2 + 52*y**2. Determine c(x(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 716\/221251 or -1?\nAnswer: 716\/221251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 8*q**2 + 6*q + 14. Let n be h(-7). Solve -n = 4*p - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s**(7\/3)*s*s)*s*s**1)\/(s*s\/s**(2\/3)*s)**(3\/7))\/(s**5*s*s*s**(1\/6))**(25\/3) assuming s is positive.\nAnswer: s**(-1081\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -186982 to the nearest 100.\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 5. Let q be u(-5). Is q at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 18 = 5*x. Factor 5*v**2 - 1 - 7 + 0*v + 6*v - x*v**2.\nAnswer: 2*(v - 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3\/3 + 86*a**2 - 11287*a\/3 - 3848 = 0.\nAnswer: -296, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.054526 weeks to minutes.\nAnswer: 81189.62208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 277 = 6*z. What is the highest common factor of 30 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 211, 212, 213, 214?\n\"Answer: j + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2016 and 77098?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 5*v**2 - 5*v**2)*(-4 - 3*v - 73*v**2 + 75*v**2 + 2*v).\nAnswer: -2*v**4 + v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -109 + -2?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/154 and 17\/1661338.\nAnswer: 18274718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1836)*-4 + sqrt(1836))\/(sqrt(768) + (sqrt(768)*2 - sqrt(768)) + sqrt(768)).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/275 and -4\/561?\nAnswer: 14025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 7:02 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 17 + 5 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635*(-1)\/(-10)*(-8)\/(-2)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3\/7))\/d**(-15))\/(d**(-1\/5))**(-7\/5) assuming d is positive.\nAnswer: d**(2826\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 66994\nAnswer: 12\/33497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 14 + (-95 - (-16 + -68)) + (25 - 2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 2*i - 192. Let o be (-5284)\/i + (-2)\/12. Round o to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 1:19 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o - 121. Let u = o - -58. Calculate the least common multiple of u*(-3)\/(-9) + 10 and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279931300?\nAnswer: 2, 5, 12799313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let y = -179 + 1255\/7. What is the nearest to 1 in z, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27792)\/(-72) + 4\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4 = -11, -7 = 4*s + 5*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (14 + -17) - (-1 - -9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ititriirrrioiiirooi. Give prob of sequence itrt.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lojc when four letters picked without replacement from njozcozolzlljojozz.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -35*t - 0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = -5. Let n(r) = -r**3 - r**2 + 5*r + 10. Let h be n(f). Solve h*g = -23 + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Suppose -w - 30*q + 8 = -31*q, -8 = 2*q. Put w, o, 9, -1 in descending order.\nAnswer: 9, w, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 5. Calculate the remainder when 9 is divided by s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = b + b. Let m = 3 - 6. Let x be -1*(m - (-6)\/2). Is b bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 616 + -877. Let s = 265 + g. Is 1 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.515054 + -0.223154. Let d = r - 16.291848. Let c = d - -1. What is c rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -83. Suppose 51*l + 8 = p*l. List the prime factors of (-312)\/(-56) - l\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*2\/(-10)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100 + -71 - (2 + -27 - -5).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-2) - 10\/((-55440)\/14806) and -23\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3341138?\nAnswer: 2\/1670569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -24. Let u = 20 + r. Suppose 0 = -5*p - y + 443, 5*y - 12 = 3. Calculate the greatest common factor of u and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -482.4 from 0.2.\nAnswer: 482.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 0.046 (c) -5 (d) -0.4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16290)\/(-14) - 4\/7. Suppose -323 + t = 5*j. Let r = -46 + j. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 - -9. Suppose d + 290 = 4*g. What is the greatest common factor of 48 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3996637 to the power of 1\/2, to the nearest integer?\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 19 (b) 112 (c) 0.5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**2*l**3 - j**2*l**2 + 4407*j**2 + 62*l**3 + 114*l**2 - l wrt j?\nAnswer: 6*j*l**3 - 2*j*l**2 + 8814*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 14489 = -3*j, 8*j + 2*u - 19314 = 4*j. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/8)\/(7\/(-12))*2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15)*x*x*x*(x\/(x*x**(-4\/5)))\/x*x)**30 assuming x is positive.\nAnswer: x**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/10)\/(3\/15) - -1346 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/4 - 1)\/(105\/1134560). Suppose k = 3*v - 4*m, 0 = -3*v - 8*m + 3*m + 16190. Round v to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 3*p**2 - 17*p**2 + 14*p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 + 58\/4. Let v(k) = -k**2 + 15*k + 36. Let s be v(16). Is 1*(-4)\/s - (-7818)\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = t. Let c = -62599\/7256 - -2\/907. What is the common denominator of c and t\/(-3*15\/(-207))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 3914532*w + 1276963398252.\nAnswer: 3*(w + 652422)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (-77 - -77 - (1 + -24))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/((-155)\/(-50)))\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sisffiisfiiisiifi. What is prob of picking 1 s and 1 f?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 5. Let u be t(4). Suppose u*a = 12*a + 5*n + 4, a - 4 = -n. Let l = 75 - 48. Calculate the smallest common multiple of a and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 284*g**3 - 58403*g**2 - 3*g + 46159704 wrt g?\nAnswer: 1704*g - 116806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvxvlvlv. Give prob of sequence lx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*t + 1529 = 2015 + 1782 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(192)\/sqrt(36) + 4.\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*p + 4*z, -3*p - 2*z + 5 = -0. What is the smallest common multiple of 93 and p?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**7\/42 + 11*h**6\/30 + 7*h**4 + 34*h. Find the third derivative of w(d) wrt d.\nAnswer: 60*d**2 + 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130 or -85861?\nAnswer: -85861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403342 + 2024?\nAnswer: -401313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a438 + 19?\nAnswer: a456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -2, 2297, 1, -1\/107?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 800650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -6.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71758 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5309.7 and 18.52.\nAnswer: -98335.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i + 237. Let s be w(-32). Sort -3, 5, -5, s in ascending order.\nAnswer: -5, -3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**3 + 9*b**3 + 4*b**3 + (11 + 4 - 3)*(-2 - 2*b**3 + 2) + 3*b**3 + 3*b - 3*b + 6*b**3 - b**3 - 3*b**3 + (-4*b**3 + 4*b**3 - b**3)*(-3 - 2 + 4).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*j - 995 = 708 + 826 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-63))\/((-611)\/78). Let o = s + 9327\/658. Let l = 4981\/5690 + 14\/569. Find the common denominator of o and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2818.2124 + 4.14\nAnswer: -2814.0724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000583836 rounded to 6 dps?\nAnswer: 0.000584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*j - 5*t = -469*j - 25, 7 = j + 3*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 5, j: 5}. Give prob of picking 2 j and 1 c.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -221*m + 15. Let q be a(-5). Suppose 2*n - q - 1078 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (174 - (-40788)\/(-231))\/((-6)\/64*2)?\nAnswer: 96\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5685033*o**3 - 10181335*o**2.\nAnswer: 34110198","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/2)\/(a\/(((a*a*a\/(a*a*(a**(2\/17)*a*a)\/a)*a)\/a)\/a)*a)*(a**0)**(-2) assuming a is positive.\nAnswer: a**(-191\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 1.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1844 = 4*h + p - 11646, -7358 = -3*h - 4*p. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088 + 1274 - 228*w - 2362.\nAnswer: -228*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - t - 8*t + (2 - 3 - 1)*(-t - 5*t + 4*t) - t + 0*t + 0*t + 6*t + 2*t + 0*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9 and -1818.9093934.\nAnswer: -1819.8093934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8221 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -306, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -14201?\nAnswer: 14213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 8, h - 4*u - 220 = 5516. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.389522 + 0.15252514. Let m = y - -0.237. What is m rounded to seven decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(98) + sqrt(2))**2 - -3*(sqrt(2) + sqrt(8) - sqrt(2))**2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 204 (b) -0.28 (c) 6\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17.8+15\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.229? (a) 1 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -39, -103, -193, -309, -451?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*w + 124. Calculate the remainder when 10179\/435 + (-1 - w\/(-10)) is divided by 94\/14 + 2\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*h - 9*h. Let c(l) = -65*l**2 + 815*l - 5070. Let r(t) = -11*t**2 + 136*t - 845. Let n(b) = h*c(b) + 35*r(b). Find y such that n(y) = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 164 + 39*n**2 - 164)*(-154 - 3*n + 154)*(-2*n**2 + 7*n**2 - n**2).\nAnswer: -468*n**5 - 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -14 + -8 + 0 + 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 10*p - 1. Let d(g) = -5*g**2 + g. Let n be d(1). Let x be a(n). Solve -3*y = -i - 4*i - x, y = 4*i + 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from zzxxmexzxzmeexmmex?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 317, -1, 4, -5 in decreasing order.\nAnswer: 317, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*c**2 + 8*c**2 + 0*c**2 + 1196836 + c**2 + 2188*c - c**2 = 0. What is c?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 9*y + 10)*(59 - 133 + 74 + 432*y) as t*y + q*y**2 + c and give q.\nAnswer: 3888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/2 (b) 2\/3 (c) -2 (d) 0.03 (e) -0.3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 5 + 5)*(-6 + t + 6)*(-2*t + t**2 + 5*t - 5*t)*(18 - 10 - 20) to r*t**4 + u + b*t + k*t**3 + a*t**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 31669\nAnswer: 8\/31669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - (sqrt(847) + (-1*sqrt(847) - sqrt(847))) - sqrt(847)) + 0 - (4 + -1 + sqrt(847)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 11:57 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76571065 to 2 decimal places.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2.92. Let l = 0.82 + s. Let w = l - -1.1. Sort 2\/9, -3, w in decreasing order.\nAnswer: w, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43428907 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 12*f**2 + f - 10. Let b be w(12). Suppose b*i + 160 = 2*k, 5*k + 0*i - 415 = 2*i. Is k a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/11 - 524*o**2\/11 + 6000*o\/11.\nAnswer: 2*o*(o - 250)*(o - 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11515, -11516, -11517, -11518?\n\"Answer: -m - 11514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3312*2\nAnswer: -6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 986247, 1972491, 2958735, 3944979?\n\"Answer: 986244*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -22. Suppose -p = h + 24. Let f = h + 37. Calculate the lowest common multiple of 10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 10 - 19)*((9 + 9 - 11)*(-o - 2*o + 4*o) - 1 + 1 - 2*o).\nAnswer: -195*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-24)*(-54)\/(-120)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 324 = 444 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + -9 + (10 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 0.1527721.\nAnswer: 4.1527721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u = -75*u + 162. Suppose 0 = 2*k + 3*k - 120. Calculate the smallest common multiple of k and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*z + 5*b = -308*z - 3, 3 = -3*z - 3*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(252)*-1 + sqrt(252))**2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*(115\/30)\/23*30\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252*c**3*f + 6940*c**3 - 2*c**2*f - c**2 + 4*c*f - 18*f + 735 wrt c.\nAnswer: 1512*f + 41640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k**3 - 3 - 2*k**2 + k**2 + 4 - 2*k. Let z be h(2). Solve 0 = -f - 3*f + 5*d - z, -2*f + 2*d - 18 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1511*w**2 + 1870661*w - 1870661*w + 2.\nAnswer: 1511*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 60569172.\nAnswer: 60569172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 + 121. Let a(r) = -3*r - 3. Calculate a(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25225700 a multiple of 745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9259 - -9260. Let t(v) = v + 0*v**3 + v**3 + 0*v**2 - v**2. Give t(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3231535459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2 - j + 7. Let i be w(0). Suppose x = 2*u - i, -x + 3*x = -3*u + 7. Suppose 210 = k + 2*g, u*k - 650 = -0*g - 2*g. Is k a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = v + 2, 3*v - 3 + 11 = -5*u. Suppose -3*d - 12 = -5*r, 2 = -0*d - d + r. Is d <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 359389085.3000079 + -359389281.3. Let s = 196 + v. Round s to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 + -0.8. Let m = 0.2 + -2.2. Let r = -6 - m. Which is the nearest to -0.1? (a) 0.2 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/4739 + -213288\/52129. What is the common denominator of 29\/5 and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24956052 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 279281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*4\/72 - 38\/(-9). Are w and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*s**4 - 43*s**3 + 41*s**3 - 90 - 140 with respect to s.\nAnswer: 140*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 4:47 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11.4 times -4\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - a + 2. Let u be w(-2). Suppose -o - 3*o = u. Solve p - 5*l + 15 = 0, p + 4*l - 21 + 0 = o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19002 is divided by 102?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2*(-3)\/(-2))\/((-9)\/(-66))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - (-213)\/9. Let h = a - 20. Suppose 0 = 6*c - h*c - 24. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -859110 smaller than -859109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5115162 to the power of 1\/2, to the nearest integer?\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from {g: 4, x: 5, b: 10}?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.7*-0.2\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6. Let p be 4 - (-1)\/(b - 2). Let u be 2\/(-8) - (-18)\/8. Solve u = p*o + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 25*b**3 + b**2. Let p(c) = 389*c + 14103. Calculate the remainder when p(-36) is divided by i(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 12) + -12 + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*s + 27, -4*s = 2*d - 3*d + 18. Suppose 2*o - d = 0, o + 1 + 0 = 2*p. Suppose -p*n + 4*v = -30 - 24, -5*n - 5*v = -195. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*u = -4*u + 93, 2*z + 3*u = -79. Let w be 2648\/(z\/(-150) + 2\/12). What is w rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.957611 rounded to 0 dps?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32 + -2)\/(9 - (7 + 4)). Suppose -5*s + 279 = 2*f - 294, 0 = 3*f + 3*s - 864. What is the highest common divisor of f and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(1*(-5)\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 313020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b\/b**(-2\/7)*b)*b))*b*b)\/(b*(b*b\/(b**(2\/9)*b))\/b)*(b*b**(-2\/5)*b)**(-24))\/((b**(-8)*b)\/(b*b**0*b))**(-10) assuming b is positive.\nAnswer: b**(-40151\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 5*y - 5. Let x(b) = 5*b - 4*b + 1 - 3*b - 4*b. Let t be x(1). Determine p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:09 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.6 + -17. Put -2\/7, y, -0.1 in increasing order.\nAnswer: y, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/3)\/(38\/(-6) + 6). Let s be 0\/u*(1 + 3\/(-2)). Solve -2*f + 1 - 5 = s, 2*a = 5*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11\/7 (b) -2 (c) 2 (d) 6 (e) 4\/3 (f) 1\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*(4\/30)\/((-128)\/80). Let i = -4.6 + 8. Let u = 0.4 - i. Sort v, u, -2\/19 in descending order.\nAnswer: v, -2\/19, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = 2*b + 10, -3*c = -6. Calculate the remainder when (-336)\/b + (-3)\/(-1) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1*v**(2\/11)*v**(-1\/3)\/(v\/v**4)*(v**(-5)*v)\/((v*v**(-2))\/v)*(v**1)**(1\/6) assuming v is positive.\nAnswer: v**(133\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 + 5*w**3 - 198*w**2 - 2565*w - 4725\/2.\nAnswer: (w - 21)*(w + 1)*(w + 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03723 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/10 - 10\/25. Let h = -0.22 + -0.18. What is the closest to k in 2, -1, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -577 times -7?\nAnswer: 4039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unrbrrnnrururbrrr. What is prob of picking 3 n and 1 r?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 p, 1 j, and 1 q when four letters picked without replacement from iatiaqijpqjt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 2*x**2 + 4*x**2 - 5*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = -20. Suppose t*j - 6 = 10. Suppose j*q = 2*f + 28, 3*q - 21 = 2*f - 0*f. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2923, 11685, 26295, 46759, 73083, 105273, 143335, 187275?\nAnswer: 237099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6124948.\nAnswer: 2, 733, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 30 = p + 2*p, 0 = -p + 3*a - 8. Let h = p + 15. Suppose -60 = -h*l + 2*o - 0*o, 0 = 5*o + 10. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 2, v: 3, k: 7, u: 1}. What is prob of picking 2 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(352) - sqrt(22)) + sqrt(3168)*2)\/(5*(-2*sqrt(11)*2 - sqrt(11))).\nAnswer: -11*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/138 and -53\/47242.\nAnswer: 141726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470, -455, -442, -431?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*f - 8*f - 22*f = -1960. Let s(y) be the second derivative of -f*y - 5\/3*y**3 - 1\/20*y**5 + 0 - 13\/2*y**2 - 5\/6*y**4. What is s(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -480 + 1435\/3. Let t = 2.99 + -3. What is the third biggest value in -0.3, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) + -1 - (-22)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2946.7 times -0.1\nAnswer: 294.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -17, 0 in decreasing order.\nAnswer: 7, 0, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u + 18*u + 14*u - 11*u.\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2 = -5*i - 5, -4*a = -i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13392 = -91*x + 13119 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or -1111\/12?\nAnswer: -1111\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2440, 4901, 7368, 9841, 12320, 14805, 17296?\nAnswer: 19793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/64134 and -31\/1058211.\nAnswer: 2116422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysynnnnyn. What is prob of sequence ns?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 268736.697us in days?\nAnswer: 0.0000031103784375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peeeep. Give prob of picking 2 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*(-1 + sqrt(76)) + 1))**2*4.\nAnswer: -800*sqrt(19) + 30500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogk when three letters picked without replacement from oooooksoooookossosg?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(2\/(-1)) - -2. What is the second derivative of 9*b**3 - 9*b**3 + o*b**4 - 7*b wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -162252.165663 and -0.02.\nAnswer: -162252.185663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/3559 + 3583\/42708. Let k(r) be the third derivative of n*r**4 + 0*r - 29*r**2 + 0*r**3 + 0. Let y(i) = -2*i**2. Determine y(k(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -41*p**3 + p**2 + 2*p - 1. Calculate i(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 - 101110001011010111101101?\nAnswer: -101110001011011000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1207884 divided by 1?\nAnswer: -1207884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 5. Let l(d) = 11*d**3 - 3*d**2 - 5*d - 11. Let z(s) = -7*s**3 + 2*s**2 + 3*s + 7. Let c(g) = 5*l(g) + 8*z(g). Let t be c(2). Calculate x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -58, 3\/4, -0.19, 1\/2, -0.07?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -31?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14044, 13942, 13840, 13738, 13636, 13534?\nAnswer: 13432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 - 22578180*f + 25488710605620 = 0 for f.\nAnswer: 2257818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -344*p**4 - 1137*p**4 + 436*p**4 + 4246*p - 936*p**4 wrt p?\nAnswer: -23772*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159.13 times -20.1\nAnswer: 3198.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/2867 - 140479\/5734. What is the common denominator of j and 70\/18 + 1\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -35*k**4\/12 + 7117*k. Let a(u) be the second derivative of -u**4\/12 - 2*u. What is z(a(m))?\nAnswer: -35*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/1332 - -2683\/25308. Let m = -3 + 2. Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/21, -2\/9, -4 in descending order.\nAnswer: -4\/21, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-105 - (-146 - -86)) + 63\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -661.1 + 23.1. Let t = v + 625.2. What is t rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-30) + 4\/6 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1824372 from 1323.7.\nAnswer: 1825695.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19376, 77563, 174540, 310307, 484864, 698211, 950348?\nAnswer: 1241275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-12)*r**(1\/50)\/r)**(-1\/18) assuming r is positive.\nAnswer: r**(599\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109641, 109643, 109645, 109647, 109649?\nAnswer: 109651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114917239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (2 + -3)) + 3 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 - 6 - x**2 + 2*x + 0*x**3 + 10*x**2 - 2*x**3 = 0. What is x?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 41, 37, 27, 11?\n\"Answer: -3*b**2 + 11*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 26 = 3*z, 2*b - 2*z - 41183211 = -41183251 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h\/(h*h\/h**(-10))))*h**(1\/3) assuming h is positive.\nAnswer: h**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -21 (b) -1 (c) 6.99 (d) -1\/7 (e) -5 (f) 2\/563\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -4, -7, 125 in decreasing order.\nAnswer: 125, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 86 + 2 + (74 + -135 - -70).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 420328985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 - -110. Solve 2*z + 5*h = -8 + 36, -h + k = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*g - 7*g + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3823.6 rounded to the nearest ten?\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 434?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -5, -2, -21, 7\/4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(21)\/sqrt(3) + 0 + sqrt(7))**2 - sqrt(7)) + -5 - (4 + -5 + -1*sqrt(7))**2) + 1)*-4.\nAnswer: -64 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/(t*t**(2\/17)))\/((t\/((t*t**(1\/4))\/t))\/t)**(-49) assuming t is positive.\nAnswer: t**(-1249\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5771267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1547480 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*r - 3. Sort -4, -5, r in ascending order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 20. Let i = -24 + m. Find the common denominator of 981\/(-90) - (1 + i) and 1\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3062214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 38*p + 180. Let l be w(-42). Suppose l*a = 32*a - 6100. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r**2 + 13*r**2 + r - r to d*r + s*r**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 67332 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and 220193640.\nAnswer: 220193639.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 45*b**2 + 230*b - 153. Let c be s(-39). Suppose 4*t = 2*t + 4, 2*y - 3*t = 0. Solve 0 = y*l + c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-3 - 1) - 0. Suppose i*p = p - 8. Let a = 10 - p. Solve -n = -3*o - 5*n - 20, 5*n - a = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 155, -3, 2, 13, 5.4.\nAnswer: -3, 2, 5.4, 13, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*r + 20 = 0, 0*s - 5*r = 5*s - 90. Let v(q) = 5*q**3 - 2*q**2 + q - 2. Calculate the remainder when v(2) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*w = 10, -10*o = -5*o - w + 68. Is (-1)\/7 + 4\/o*-23692 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2 + (-2 + 0 + 1)*(-1 - 1 + 3) - 3 + 3 + 1 + 4 - 2 - 1 - 2 - 2 + 3 - 6 + 10 - 2)*(3 + 3 - 4)*(0*m - 7*m + 4*m)*(5*m**4 - m**2 + m**2).\nAnswer: -90*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -1\/42*d**4 + 0*d**2 + 0 + 2\/21*d**3 + 33*d. Suppose o(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 347*i**3 + 5*i**2 - 5*i - 10. Let b(k) = -2*k**3 - k**2 + k + 2. Determine 10*b(h) + 2*q(h).\nAnswer: 674*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/a)\/a**(-9)*(a**(-1)\/a)**(28\/5)*((a\/a**14)\/(a\/a**(5\/3)))**44 assuming a is positive.\nAnswer: a**(-8098\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-8))\/((-798)\/(-76))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2\/(-1)*6\/(-4) and (-7 + 2)\/((-6)\/(-6)*-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.01 (b) 1\/4 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61.28 - -62.8947. What is d rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2002349744 to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 13*p - 3 + 5 to the form z*p + v and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/120 - 3*l**5\/20 - 3*l**4\/8 - 4*l**3\/3 + 97*l**2. Let s be j(-8). Let r = 0 + 0. Is r > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*w + 8 + 1026*w - 13 + 5)*(3*w**2 - w**2 + 3*w**2).\nAnswer: 4865*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (6 - -4 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(513))\/(sqrt(3) - (sqrt(18)\/sqrt(2) + sqrt(9) + sqrt(9))\/sqrt(3)) + (sqrt(57)*2*6)\/(sqrt(216)\/sqrt(8) - sqrt(3)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*f + 28, 38 = 3*f + 5*s - s. List the prime factors of 3 - (-165)\/f*16.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1 + u - 5*u + 8*u. Let o be 2 + 2 + 6\/(-2). Let m be a(o). Solve 0 = 5*y + m*w + 3, 3*y + 6*w = 2*w + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362763.5ug to kilograms.\nAnswer: 0.0003627635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l - 15. Let u(g) = 0*g**2 + 2*g**2 - g**2 + 2*g**2 - g**2. Calculate u(d(o)).\nAnswer: 242*o**2 - 660*o + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)\/m)\/m**5*(m*m*m**2)\/(m\/((m*m**(3\/4)*m)\/m)) assuming m is positive.\nAnswer: m**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 120)*(-30)\/(-8). Suppose 0 = 2*i - 277 - r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 0.23 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1947\/495 + (-1)\/(-15). Let p(f) = -f**2 - f - 3. Let r(t) = -t**2 - 1 - t + 1 - 4. What is y*r(n) - 6*p(n)?\nAnswer: 2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 12*q - 2. Let l be j(12). Let t be (-3)\/2 + (-13)\/l. Solve 0 = t*x + c + 30, -x + 0*x - 30 = 5*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-2 - -2) + -3. Is f greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0811 - 0.0811. Let y = -0.22 + 0.12. Sort c, y, 0.2, 0.3 in descending order.\nAnswer: 0.3, 0.2, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - 2*z)*(4*z + 2*z**2 - 4*z)*(-z + 2*z - 4*z + (-4*z + 3*z - z)*(4 + 5 - 5)) + (z**2 + 2 - 2)*(-5*z**2 - 3*z**2 + 4*z**2).\nAnswer: -26*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6131 + 61229\/10. Suppose 5*h + 2*z - 1302 = 0, 4*h + 2*z - 242 = 798. Calculate the common denominator of (h\/4)\/(6\/1) and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133041 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: Let 5*k**3 + 89820045*k**2 + 359280120*k + 359280100 = 0. Calculate k.\nAnswer: -17964005, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 56 (c) 18 (d) 4 (e) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q - 65. Let b = -24 + 43. Let w be u(b). Calculate the highest common factor of w and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-90))\/(0 - 39\/286)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vte. What is prob of sequence etv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4, -4*d + 44 = -5*f + f. Suppose 0*s - 3*s = -d. Suppose l - s = -4*j - 10, 5*l + 2*j = 24. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/((n*n\/n**11*n*n)\/n) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 42 = 3*k - 363, -4*k = -2*i - 414. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887*f + 455*f + 433*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(20)\/sqrt(4) + 2*(sqrt(5) + 4) - ((sqrt(605) + sqrt(605) + -1*(sqrt(605) + sqrt(605)*-4))*2)**2) + 0.\nAnswer: -60492 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -129+3311365.6033\nAnswer: 3311236.6033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11563.35ml to litres.\nAnswer: 11.56335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1.11685?\nAnswer: 0.22337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 - 5*v**4\/12 - v**3\/3 - v**2 + v. Suppose 2*p - 6*p = 5*r - 18, p = -4*r + 21. Is i(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t*((t\/(t**6\/t))\/t)\/t*(t**1)**29*(t**(-2\/5))**(-19)*(t**(-2\/5)*t)**31 assuming t is positive.\nAnswer: t**(251\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -17*d. Let b(r) = -3 + 246*r**2 + 2 + 129*r**2 + 210*r**2 - 438*r**2. Calculate w(b(m)).\nAnswer: -2499*m**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*r - 168*r - 96 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 393 and -1679945355.\nAnswer: -1679944962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 - 88. Let j = -79 + b. What is the remainder when 86 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13576 - -13606. Solve 0 = 2*n + 2*t + 12, -5*n = 3*t + 58 - m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:29 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1441094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3116 - 3116. Which is smaller: -947 or q?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*j = 0, 2*g = -9*j + 5*j - 20. Let f be (2\/(3 + 1))\/(-1). Sort f, -0.1, g.\nAnswer: g, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (19\/(190\/436))\/(6 - -34) and -59\/70.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221 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: Evaluate (-3)\/(-5)*(-6)\/9*(-143370)\/(-4779).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1335 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 302\/(-22801) - 176110\/(-3322)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqlh when four letters picked without replacement from hqfhhhhhqhqhmhlqhmh?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.95 - -0.05. Let d = -16 + 19. What is the nearest to 0 in o, 1\/6, d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45213942 to the nearest integer?\nAnswer: 6724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let f(m) = -m. Let c(d) = 10*f(d) - 5*x(d). Let v(r) = -2*r - 7. Let i be v(-4). Determine c(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1789 != 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 7. Suppose 2*a - y*a = -25. Suppose 0*g = -a*g. Sort g, 1\/5, -1\/5 in decreasing order.\nAnswer: 1\/5, g, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5.03. Let v = -0.67 + t. Round v to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21346 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 565 + -562. Suppose -2*t = t. Solve t = -0*w + s*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -5556\nAnswer: -16668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127348 and 5252?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16894.\nAnswer: 2, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:21 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 143\/(-924) + 3\/(-48)*-4. Let z = -0.7 - 0.3. Which is the smallest value? (a) x (b) -4 (c) z (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-18) - 6\/(-28). Let t = 3.3 + -3.6. Which is the nearest to m? (a) t (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-56) - 191\/7. Let n be t\/(-15) + (-1)\/(-5). Solve -y = n*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/81 or -0.089?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + 2*r**2 - 4*r**2 + 4*r**3 - 9*r**2 + 3 - 3*r**3 as h*r**3 + i*r**2 + b + l*r**4 + x*r and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 - (-37 - (-2599)\/113).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4140 - 2?\nAnswer: -4142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617 (base 16) in base 12?\nAnswer: 801b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 57098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1855 - -2800. What is the tens digit of 18\/15*c\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppsw when four letters picked without replacement from {p: 10, w: 2, s: 4, m: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3649, -3645, -3641, -3637, -3633?\nAnswer: -3629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -12, 2, 8 in descending order.\nAnswer: 8, 3, 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h - 1. Let y(j) = -13*j**2 - 31*j - 32. Let x(b) = -p(b) - y(b). Let q be x(15). Round q to the nearest integer.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/8109 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-22)*-62 - -3. Let d = -1.7 + -1.3. Which is the closest to -1\/2? (a) o (b) d (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2379*f + 23*f - 108090 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 568*g + 306*g + 1725*g + g**3.\nAnswer: -5*g**3 + 2599*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 3*t**2 + 3*t. Let w be u(-2). Let k = 4 + w. Let m(j) = -j**2 - 4*j**2 + 0*j**k. Determine m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -3*k**3\/2 - k + 3. Let l(m) = -23*m. Determine l(f(s)).\nAnswer: 207*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:14 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 7. Suppose 3*n = 4*s - 228, 0*s - 171 = -d*s - n. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + -90. Let s(v) = 15*v**3 + 5*v**2 - 5*v + 5. Let b(r) = -8*r**3 - 3*r**2 + 3*r - 3. Give j*b(k) - 3*s(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 take away 258?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/68 and -95\/14.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 292315*s + 32. What is c(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*c**2 + 27*c**2 - 29*c**2 + (4*c - 4*c - 2*c)*(20*c - 67*c - 6*c)*(-6 + 2 + 1).\nAnswer: -334*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -426 + 4?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 - 5*w**2 + 5*w**2 + 7*w**2 + 46*w**2 in the form c + n*w**2 + a*w and give n.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -10*(1 - 105\/6).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -205, 0, 3, 5 in ascending order.\nAnswer: -205, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 5, z: 12}. Give prob of sequence ff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 26 = -4*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - 5) + 15 + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-299)\/91 - (-2)\/7. Let y be (f\/5 - 21\/15) + -10. Let a = 27 - y. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - f = -8778, -3*l - 5*f = -0*l - 6575. What is the remainder when l is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o - 7. Suppose -5*a + 110 = b, -5*b + b + 20 = 0. Let m(s) = s - 1. Let x(z) = a*m(z) - 3*q(z). Let n(f) = -2*f**2. Give n(x(t)).\nAnswer: -162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3 = -2*t - f, -2*t = -3*f + 17. Suppose -3*n = -3*s - 3, -70*n = s - 68*n - 5. Sort s, -10, t in increasing order.\nAnswer: -10, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/919824 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1 - 21*z**2 + 31*z**2 + 1. Let l(x) = -4*x. What is l(p(b))?\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -19. Suppose 2*f + 11 = u. Solve -f*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + q + 1 = 0, -5*q - 15 = 4*p - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) 34 (b) 2\/849 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 11*u**2 - 15 + 8*u**2.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-96))\/(43187\/(-72736))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s - 150. Calculate the remainder when 208 is divided by h(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 3:50 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*q = -8, -17*d + 24 = -13*d - 4*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 267 (b) 0.49 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (63\/12)\/((-294)\/(-784)). Let k(t) = -t**2 + 13*t + 9. Give k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2145 and 6?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 19. Give y(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 7*h + 13. Let n be x(8). Suppose 0 = f + 4*o - 3, o - 6 = -n*f + 9. Suppose -2*p + 1187 = 3*d + 2*p, 1188 = f*d + 3*p. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**2 + 8*q**4 + 15*q - 20*q + 5*q wrt q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 1486\/12 + 29\/1218*-35.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 10 = -11*a + 2*l, -3*a - 2*l = 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44771 (base 8) to base 3.\nAnswer: -221222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 9792?\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 5*z**3\/6 - 17*z**2\/4 + 7*z + 77. Factor x(i).\nAnswer: (i - 2)*(5*i - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**5*g + 198*d**4*g**2 + 43*d*g**2 - d*g - 2*d wrt d.\nAnswer: 40*d**3*g + 2376*d**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24748)\/(-6187))\/((-4)\/24*-4*(-2)\/6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20249 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:51 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -21. Put m, -0.5, 0.4 in descending order.\nAnswer: 0.4, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 197\/5 (b) 4 (c) -41 (d) -101 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**3 - 9*j + 22*j - 11*j + 3*j**2 - 3 + 1 to f*j**3 + a*j + n*j**2 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(2\/33)\/k*k)\/k*k)\/k)**(-4\/17) assuming k is positive.\nAnswer: k**(-140\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6961*r - 287*r + 427334 - 94550 = -259*r for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 + 3 + 0 + 1 - 2 + (-4 + 1 + 4)*(-4 - 1 + 4))*(-11 + 11 - 2*a + 2*a**4) in the form l*a + g*a**4 + z + m*a**3 + t*a**2 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -55*p**3 - 2*p**2 - 2*p - 2. Give s(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 51331*g = -51334*g + 182, b - 2106 = -34*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*b - 44 = 0, 14 = t - 3*b - 10. Let p be (-4)\/5*(114\/t + -2). Let j be (p\/4)\/((-18)\/96). Let h(l) = -l**3 + 9*l**2 - 8*l - 6. Determine h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 - 12*z - 3. Let h(r) = -r**3 + r**2 + r + 1. What is d(c) + 3*h(c)?\nAnswer: -c**3 + 3*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108142?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 55. Suppose -2*p + 2*h + 123 = 3*p, -p = 2*h - 27. Calculate the smallest common multiple of p and d.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(176)))**2.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 388*z**3 - 3*z**2 + 16*z**3.\nAnswer: -372*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 194\/(-485)*(-35)\/1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 3. Let b be k(6). Suppose b*p - p = 4, 4*t - 16 = -2*p. Suppose -2*l + 5*n + 10 = t*l, -n = 3*l - 6. Solve -q = -l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4 - -1. Let m = 0 - n. What is m rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 28, 4\/3, -12, -11\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23462, 27549, 34364, 43907, 56178, 71177?\n\"Answer: 1364*r**2 - 5*r + 22103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q + 214 = -90 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/12*(6 + 765\/(-132))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + t - 1, t + 3 = -4*i + 4. Let d(g) = i*g + 0*g + g. Let q(n) = -4*n**2 + n**2 - 2*n**2. Give q(d(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187140 and 3660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.96 + 0.04. What is the closest to -2 in 6\/7, -5, u?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/3 (b) 2 (c) -0.4 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26205797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/28)\/(10\/(-105) + (-57)\/63). Are m and 913 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*m**3*u + 11594*m**3 - 4*m**2 - 8*m*u**3 + 10238*m*u + 1 wrt u.\nAnswer: 31*m**3 - 24*m*u**2 + 10238*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + ((sqrt(2057) - (sqrt(2057) - (sqrt(2057) + 2 + -4) - sqrt(2057))) + sqrt(2057) + -4 - (1*sqrt(2057) + 5 + -4*(1 + sqrt(2057))))**2).\nAnswer: -296420 + 3696*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 5*d**2 + 6*d + 3. Let h be i(6). Let b be (h*-1)\/(5 + (-572)\/112). What is the second derivative of 8*m + b*m**2 + 5*m - 41*m wrt m?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spnovnppsssosso. Give prob of picking 1 v and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0*n**2 + 0*n**3 + 0 - 1\/4*n**5 - 14*n + 19\/12*n**4. What is the third derivative of l(r) wrt r?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n. Let k = 4 - -1. Let x = -469 - -471. Let w(i) = -5*i**2 + k*i**x - i**2. Calculate w(y(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/4, 1, 2\/23, 2, -119 in decreasing order.\nAnswer: 2, 1, 1\/4, 2\/23, -4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7349 - 7349 - 1204*i**2 + i to the form k + j*i**2 + s*i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8248344, 8248346, 8248348, 8248350, 8248352?\n\"Answer: 2*t + 8248342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k. Let u(r) be the second derivative of 32*r**3\/3 - 9*r. What is -28*j(p) - 3*u(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4*j*j*j**(-4\/15)\/j*(j*j**(-4)*j)**(26\/7))**(-2) assuming j is positive.\nAnswer: j**(566\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-272830)\/(-2) + 2*-2*(-26)\/52 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18039941506 to four dps.\nAnswer: 0.1804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 4*r - 4. Let l(s) = 3*s + 1. Suppose 0 = 5*w - 14*w + 18. Suppose -w*p - 3*c - 4 = 0, 5*p + 11 - 1 = 4*c. Let f be l(p). Determine v(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10543 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 83 = 2. What is the common denominator of (-280)\/(-18)*(-20)\/(-80) and u*(2\/(-4))\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let u(s) = -s**2 - 4*s + 4. Let m = -2 + 5. Let p(l) = 3 + 0*l - l**2 - 7*l + 4*l + 0*l. Let y(a) = m*u(a) - 4*p(a). What is j(y(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5383.\nAnswer: 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 = 2*h. Let u(a) = -h*a - 4*a + 5*a. Let f(t) = -224011*t**2 - 15 + 15 + 224029*t**2. Give u(f(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 1. Suppose -4*i + 37 = -i - f, -o*i = 2*f - 58. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1011812 and -20.\nAnswer: 2.023624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.38266 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5a8a (base 16) to base 12\nAnswer: 114b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76.09 - -0.91. Let s = h + -76.69. Which is the third biggest value? (a) 3 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53159 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, -4, 29, 0 in decreasing order.\nAnswer: 134, 29, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 12. Let s be x(-3). Suppose s = -5*u + 2*j - 8, -u = -2*j + 6*j - 16. Sort u, 5, -2 in decreasing order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, -9.\nAnswer: -9, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-4) - 8\/20*5. Let c = k - 21. Let p = -25 - c. Solve p*w + 5*a = 5 + 15, 3*w - a + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 0*p = -3680. Let t = p - 215. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184685 or -184684?\nAnswer: -184685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*r**3 - 115*r**3 - 115*r**3 - 116*r**3 + 466*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 297, 337, 249, -9, -479, -1203, -2223?\nAnswer: -3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = g, -v = -g + 2*g - 2. Let k = 39 - 35. Solve 0*w + 4*z = k*w - 28, -v*w - 5*z = 21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 - 2. Let r = 1.5 - f. Let y = r - 0.7. Which is the fourth biggest value? (a) 0.3 (b) y (c) -1 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -45*u**2 + 8*u - 12. Let k be j(4). Let w = 713 + k. Solve 0 = a + w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 17, 12, -13, -64?\n\"Answer: -d**3 - d**2 + 19*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 1. Let z be n(3). What is the first derivative of 24*b**3 - 1 - 5*b**4 - 24*b**3 - z wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045 times -0.008?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40312*u**2 + 43693*u**2 + 3*u - 3*u to the form v*u + f*u**2 + y and give f.\nAnswer: 3381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3460 or -13\/4?\nAnswer: 3460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/377 - -792\/7163. Let g = 796 - 796.4. Which is the fourth biggest value? (a) 3\/7 (b) j (c) g (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -214593889\nAnswer: -2\/214593889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/4)*s**(-1))\/(s**(-2\/9)\/s**(-3))*(s**(-1\/2)*s*((s*s**(-6))\/s)\/s)**(-37) assuming s is positive.\nAnswer: s**(8549\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 208, 203, 196?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a = 15*a - 45*a + 2047 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 60. Suppose 0 = -9*s + 5*s + i + 49, -3*s + i = -36. What is the remainder when h is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 9*y = -8460. What is y rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 - (-1 - -13))\/(-2 - -4). Solve 4*z - 2*z - 20*z = a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24131145?\nAnswer: 3, 5, 1608743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333452225 a multiple of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 20*m - 7. Let x be v(20). Let g be 5\/(3\/(4 + x)). Sort -7, g, -3 in decreasing order.\nAnswer: -3, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 48*t + 7091. Calculate c(-113).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/4 - 6505*n**4\/2 - 51819*n**3\/4 + 1332883*n**2\/2 - 1509512*n - 10612896 = 0. What is n?\nAnswer: -13006, -17, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/20 - y**2 + 4*y. Let a(w) = -40*w. Calculate a(h(o)).\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011293646 rounded to 5 decimal places?\nAnswer: 0.01129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665615 is divided by 177?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - 20\/(-9). Suppose -6 = -v*r + 6. What is the least common multiple of 5\/(((-6)\/3)\/(-4)) and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:01 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 297 in -0.1, -12\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/67? (a) -3 (b) -1 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 45*j - 15. Let g(m) = 2*m. What is w(g(n))?\nAnswer: 90*n - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*3\/(-4)*2412\/54 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 4. Let i be s(-1). Let u be 1*-12*(-1)\/(-4). Which is the closest to 0.1? (a) u (b) i (c) 5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39272, -77366, -115458, -153548, -191636?\n\"Answer: v**2 - 38097*v - 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -22*i. What is the smallest common multiple of 144 and b(-8)?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 0 + 0)*14. Let q = f + 35. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 17*u**4\/12 - 9*u**3\/2 + 2*u**2 + 3*u + 4. Let b(m) = -m + 10. Let v be b(5). Does 49 divide f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(1\/7)*l*l**(6\/11)*(l**0*l)**9 assuming l is positive.\nAnswer: l**(955\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in -51\/7, 2, -2\/7, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(7)*1 - sqrt(7)) + -5 - (sqrt(7) - (3 + sqrt(847))))**2 + 1.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-88)*-2*(198\/(-20))\/(-9).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2028 and 624.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1341434.\nAnswer: -5365736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k = -32*k - 2*g + 24306, 0 = k + 2*g - 12157. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 2*q**2 - 5*q + 1. Let m(d) = d. Let x(v) = 3*m(v) + y(v). Let c = -40 + 33. Let n(o) = -3*o**3 + 6*o**2 + 7*o - 4. Calculate c*x(g) - 2*n(g).\nAnswer: -g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -103, -370\/147, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 3*w - 3. Let z(f) = 7 - 4*f**2 - 8*f + 1 + 0*f. Let d be -21 - 14\/((-28)\/26). Calculate d*t(l) - 3*z(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1214, -2359, -3632, -5039, -6586?\nAnswer: -8279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*378\/108*(-324)\/105\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 8*h. Let z be (3 - 7\/5)*-5. Let x be d(z). Solve x = -4*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43611132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150664 (base 7) to base 2.\nAnswer: 111000111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38810.9 - -38811. Which is the closest to 13? (a) -1\/27 (b) w (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1281, 1316, 1359, 1410, 1469, 1536?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 + -19.5. Let t = -12 - g. Let n = -8.6 + t. What is the third smallest value in -4, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 14) in base 13?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40149*i - 119359*i + 40251*i + 39666*i.\nAnswer: 707*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7907.924 litres to millilitres.\nAnswer: 7907924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 303400114030?\nAnswer: 303400114040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Let k be s(-4). Let y = k - 5. Let a be ((2 - -7)\/y)\/(-1). Let m(n) = -n + 2. Give m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in -5, -29, 45\/8, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11212 (base 8) in base 14?\nAnswer: -1a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**4*h**2 + 2772*b**4 - 7*h**2 + 58*h with respect to b.\nAnswer: -8*b**3*h**2 + 11088*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141.2 + -138. Is 1\/4 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79511296?\nAnswer: 2, 310591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 8*v + 14. Let c be j(-10). Let m be (-364)\/(-234) + 4\/c. What is the second smallest value in -5, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 169.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29210)\/(-2645) - 14\/322?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222211 (base 4) in base 3?\nAnswer: -100100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2.4, 5, 0.042, 0.4 in descending order.\nAnswer: 8, 5, 2.4, 0.4, 0.042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-918))\/((-1)\/((-3)\/1)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24737?\nAnswer: 29, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100010 - 101?\nAnswer: 101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 9) to base 11.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -2\/39, -9\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5027 + 5091.31. Let t = -64 + z. What is t rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*d*i*l**4 - 18*d*i - 3*d*l**2 - 3*i*l**2 + 2*i + 117 with respect to l.\nAnswer: -212*d*i*l**3 - 6*d*l - 6*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 51. Let q be 25\/(-4) + 2\/(12 + -4). Is 5862\/14 - q\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 178138555?\nAnswer: 178138555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-16)*-2*-3. Suppose -z = 4*z + 15. Suppose -16 = 2*y - 4*l, -2*y - 2*l - 2*l = -16. Which is the closest to r? (a) 0.2 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**2 + 2*k - 4. Let m(c) be the third derivative of c**5\/4 + c**4\/6 - 3*c**3\/2 - 4*c**2 + c. Calculate 4*m(b) - 9*y(b).\nAnswer: -3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23201352 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-2*sqrt(3)) - sqrt(2) - (-3*sqrt(16))\/sqrt(8).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*g**3 + 28*g**3 + 35*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v - 30. Let r be t(8). Let z = r + -36. Let k = 66 - z. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 14*a - 1\/2*a**2 - 1. What are the prime factors of n(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20095 + -11061. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -h - 86, -7*l + 3*l + 170 = -h. Suppose 7215 = 55*k - l*k. List the prime factors of k.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-3)*(-7)\/(-84). Which is the closest to 0? (a) 1\/4 (b) t (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**5\/20 + m**4\/3 - 5*m**3\/6 + 7*m**2\/2 - 22*m. Let t be o(3). Solve 5*f + 0*w + 2*w - t = 0, -4*f - 6 = 5*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-56)*(-748)\/30294.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 12*w - 3. What are the prime factors of a(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 3*n**2 - 3*n - 2. Let p be j(4). Suppose -3*i + 3 + 4 = k, -21 = -4*i + k. Solve -2*z + 4 = -2*d, -3*d - 13 = p*d - i*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by -51\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3 = x, 19*n - 21*n + 11*x + 33 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + -11 + -6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -2*u, 0 + 2 = 2*u. Suppose -3*g - 12 = -r, 3*r + g - 3 = z. Let a be 75\/(-175) + (-1 - (-30)\/21). What is the nearest to 0.2 in a, r, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/18 + 136\/9. What is the common denominator of (-356)\/(-128) + 0\/(3 + -1) and v?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from yccccycczycycczc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6.03. Let j = 0.37 + g. Which is the biggest value? (a) -5 (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 2. Let g be q(-1). Solve g = 5*c - 3*f + 7 + 10, 5*f - 18 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 64*b**2 + 70*b - 237. Calculate r(65).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxoo when four letters picked without replacement from xxxoxxxxox.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 = 21. Suppose -2*l = -j*c - 12, l = 6*l + 3*c - 56. Suppose -2*z + l = 4. Calculate the highest common factor of 21 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35.3 and -153.5?\nAnswer: 5418.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 3. What is the lowest common multiple of 26 and l(-5)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 490 = -25*j. Let h = 1459 - j. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19994589 a multiple of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/5524 and -40\/42811.\nAnswer: 171244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 18. Let n be (b - 1) + 4\/(-4). Let r(w) = w**2 + w. Calculate r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16630023 (base 7) in base 14?\nAnswer: -308a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-190) - ((-1)\/(-4) + 3632\/(-5440)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16196.316*49.\nAnswer: -793619.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 12. Suppose -7*a - 126 = -i - 4*a, 2*i = -a + 231. Calculate the highest common factor of i and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -337, -667, -997, -1327, -1657?\n\"Answer: -330*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let t(g) = 11*g + 1. Calculate the remainder when (1\/2)\/(m\/(-138)) is divided by t(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y. Suppose 2*t + 2*t - 3*i + 47 = y, 4*t + 50 = 2*i. Let s = 14 + t. Solve -z + 2*z + 2*h - 1 = s, 0 = 4*z - 2*h + 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6370.6 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**2 - 1298*u - 111104. What is x(282)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/24 + 4*j**3\/3 + 25*j**2 - 2. What is p(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01240405257 to 5 dps.\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10473008239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11215?\nAnswer: 5, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**31)**(-45)\/((i*i**0\/i)**13*i**(1\/5)\/i**2) assuming i is positive.\nAnswer: i**(14013\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h - 3*h**3)*(-800*h + 211 - 412 + 201) to the form n*h + j + k*h**4 + c*h**2 + d*h**3 and give k.\nAnswer: 2400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, a: 2}. What is prob of picking 2 u and 1 a?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1786*x**2 - 9*x + 3. Let g(n) = -2123553*n**2 - 10698*n + 3566. Give 3*g(l) - 3566*i(l).\nAnswer: -1783*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/5 + 22)*1. Let f(c) = 2*c**2 - 51*c - 2. Let r be f(26). Suppose r*u - 51 = i*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*r + 43 - 2*r**2 - 36*r + 25*r + 51*r as l*r + x + v*r**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2135 - 1011. Let p = -1752 + 1754. What is the second derivative of -2*b**p - 1573 + k - 9*b wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 26. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3, -266, 2, -75 in descending order.\nAnswer: 2, 0, -2, -3, -75, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -4, -5\/3, 3, -1.891?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (11 + (2 - 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323909892.\nAnswer: 2, 3, 67, 134291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2362*v + 8. Let z be n(8). Let x = -776778705\/16 - -48567567. Let c = z - x. Find the common denominator of c and -3\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/78*8\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19167 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*d - 122*d - 10972 = 0. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/19 + 196380*c\/19 + 4820638050\/19 = 0.\nAnswer: -49095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 + 100 - 82) + 63.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7999 (base 16) in base 13?\nAnswer: -11227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 96*m**2 - 975*m - 3042.\nAnswer: -3*(m + 6)*(m + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 4*k)*(335345 - k + 3*k - 335348 - 42*k**2) to the form w*k**2 + p*k + x*k**3 + b and give x.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - 5*c + 8. Let q(o) = -o**3 + 2*o - 3. Suppose 193 = 34*j + 57. What is j*w(g) + 11*q(g)?\nAnswer: g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 9:48 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:46 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 390 - 6628\/17. Which is the closest to -1? (a) 0.6 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.5723 millilitres in litres?\nAnswer: 0.4385723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 1, 81 in descending order.\nAnswer: 81, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3672*c**3\/5 + 29011737*c**2 - 144936504*c\/5 - 118509\/5 = 0. Calculate c.\nAnswer: -1\/1224, 1, 39503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 108 and -0.044932.\nAnswer: -4.852656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - s + 1 = 0, -3*p + 2*s + 10 = -13. Suppose -4*q + 21 = -5*d, 6 + 1 = 3*q + p*d. Solve 0 = q*g + 6*h - 2*h - 32, 3*g = 2*h + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 75, 5, -1 in increasing order.\nAnswer: -4, -1, 2, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215\/12 - 69\/4. Determine h so that -1\/6 - h**2 - 1\/6*h**4 + 2\/3*h**3 + z*h = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375 or 2?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.0218 days in weeks?\nAnswer: 16.7174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 31 = 7*y - 2*y, q + y = 8. Let a(t) = 6*t - q + 4*t + 3*t + 1. Let p(d) = -2*d**2. What is p(a(m))?\nAnswer: -338*m**2 + 104*m - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Let z = 17.6 + -16. Let m = z + i. Which is the smallest value? (a) m (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 285*h + 17114.\nAnswer: (h + 86)*(h + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 493039*i**4 + 249640*i**3 + 47400*i**2 + 4000*i + 1092. Suppose g(w) = 0. What is w?\nAnswer: -10\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(1\/(-2*7)). Let k be 77\/o - (-2)\/8. Solve k*g - g + 3*t - 3 = 0, -5*g = -4*t - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/(320\/(-6720))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 + 1021972*p\/15 - 340658\/5.\nAnswer: 2*(p - 1)*(p + 510987)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (6 - (7 - 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4*(-60)\/(-18). Suppose 3*g + 5*r = 4, -28 = -2*g + t*r - 2*r. Calculate the common denominator of (-3)\/1 - (-130)\/g and -43\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588*(-71)\/5112 - (-11 - 4\/(-2))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*p = n - 95, 4*p = -12. Suppose x = -13 + n. Let y = 0.55 - 0.05. What is the closest to -0.1 in x, 1\/7, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.4. Let u = 0.38 + z. Let w be 75\/140 + -1*(-6)\/(-21). Sort u, w, 0.4.\nAnswer: u, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320+-16.36\nAnswer: 303.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106774417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.4 - -7. Let o = -0.2 + s. Let x be 6\/(-4)*2\/6. Which is the closest to x? (a) o (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*r - 14. Suppose 0 = -r*t - 135 + 4272. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 12 = 5*d. Let m = d - -44. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29285 + -29301. Sort 1\/3, r, 0.05, 5.\nAnswer: r, 0.05, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + 0. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83032487 to the power of 1\/2, to the nearest integer?\nAnswer: 9112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 34. Let v be z(-12). Let q = -5 - -8. Solve -q*f = -10 - v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 + t**2 + t + 4. Let p be s(0). Which is the closest to 0.1? (a) 0.1 (b) -0.6 (c) p (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7242 and 0.3.\nAnswer: -2172.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**4 + j**4 + 2*j**4)*((-1 + 0 + 3)*(0*j - 2*j + 3*j) - 13*j - 2*j - 17*j).\nAnswer: 60*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8545, -8409, -8217, -7951, -7593?\nAnswer: -7125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1946 = -2*x - 2*d, 9*x + d + 963 = 10*x. Suppose -3*f - j + x + 2372 = 0, 4*j = f - 1135. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5505 - 4325. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163585807*g**3 - 130561792*g**2.\nAnswer: 981514842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) -0.4 (c) 0.38 (d) 2\/3 (e) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 2*l**2 - 4*l + 15. Give r(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 1\/4, 0.3, 0.2, -0.04 in increasing order.\nAnswer: -1\/11, -0.04, 0.2, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3694*o - 3021677. Calculate b(818).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**4\/12 + 2*q**3 - 7*q**2 + 4*q. Let g be d(11). Let u be (-2 - (-4 - g))\/1. Sort 3, -12, u in increasing order.\nAnswer: -12, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/(-1700)*(-45)\/(-9))\/((-2)\/10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 203199399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156560?\nAnswer: 2, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3443*c**3 + c**2 - c + 27289.\nAnswer: -10329*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7317, 7105, 6903, 6717, 6553, 6417, 6315, 6253?\nAnswer: 6237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2583 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 2*k + 0*k)*(8 - 5 + 8)*(-k**2 - 3*k**2 + 7*k**2) as q*k + j + v*k**2 + r*k**3 and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/21 + 1695\/35. Let c(d) = -g*d + 48*d + 1 + 6*d**2 + 11*d**2. What is c(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -727919*u**3 + 1210691*u**2 wrt u.\nAnswer: -4367514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 16*d - 14. Let y be x(-14). Suppose 0*v = v - 3*g + y, 0 = v + 5*g - 18. Let z(n) = 12*n**2 + 4*n + 1. Is z(v) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 2240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -5*n - 5*b, -b + 15 = 3*n. Solve -4*y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238 + 23120*n**2 - 485 - n + 29980*n**2 + 38572*n**2 + 242.\nAnswer: 91672*n**2 - n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 13 + 0*k**2 - 16 - 6*k. Give x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 - 48 = -4*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9038821 and 356708?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 13 - 17. Let o(q) = q - 8. Let l be o(v). Let j be (4\/30)\/((-1)\/3). Which is the nearest to 0.2? (a) j (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c + 73. Let l be a(-18). Is l less than -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 185, 352, 611, 992, 1525, 2240, 3167?\nAnswer: 4336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1506*i**2 + 1137 - 956*i**2 - 1137)*(3 - 3 - i) to a + s*i**3 + p*i + c*i**2 and give s.\nAnswer: 2462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4893 and 252.\nAnswer: 58716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(-1 + 1 - 2*w**2) + (-4*w + w + 5*w)*(-3*w + w + 0*w) to the form b*w**2 + j + z*w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 364341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3 = -5*n, -5*y - 5*n + 34 - 4 = 0. Differentiate -3 + m**y - 6*m**2 + 15*m**2 - 9*m**2 + 7*m**4 + 4 with respect to m.\nAnswer: 28*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331559 is divided by 1098.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(-12))**28\/((d**5*d\/d**(-5)*d*d)\/(d**(-1)\/d*d)**(-7\/3)) assuming d is positive.\nAnswer: d**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 2\/9 (c) -0.8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 5) to base 16\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 8*n + 38. Let i = -690 - -702. Let q be c(i). Let l(w) = w**2 + 10*w - 14. Give l(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1040*v - 337*v**2 - 976*v - 2*v**3 + 2014*v to i*v + b + q*v**3 + z*v**2 and give z.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197780 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29528\/3 - -10032. Let l = -189 + t. Which is the closest to -3? (a) l (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 4 - -4) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.09 (c) -182 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 174, 144, 100, 42, -30, -116?\n\"Answer: -7*q**2 - 9*q + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2121, 0.2, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -66570 in descending order.\nAnswer: -1, -5, -66570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88215538*r**2 + 80275269*r?\nAnswer: 176431076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*r - 12, -5*g - r - 27 = 3*r. Let v(f) be the first derivative of f**2 + 42077. Give v(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 4*k - 3*l - 5, 5*k - 20 = l. Suppose -k*j - 6 = -6. Let m be -2*(-15)\/6 + j. Solve -m*n + 9*n + 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2736) - (sqrt(2736)*-2 - sqrt(2736) - sqrt(2736))**2*-3)*4 + 5.\nAnswer: -1575931 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/2)\/(9\/(-240)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 243 + 238665 = -299401. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.178 - 0.301. Let i = f - -0.123. Let z = -55 - -50. Which is the nearest to i? (a) z (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**4\/12 - g**3 + 7*g**2. Suppose 0 = a + a - 10. Let i = 9 - a. Let w(h) = -4*h - 11. Give i*w(v) - 7*c(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1818 and 5204016?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1580787 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 370706 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - -0.44. What is the closest to 1 in 2, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 0 (b) -5 (c) -1\/23 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3534007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*t - 10*t + 43 = 0, 3*t - 4 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.8. Let p = -2.1 - -0.1. Let o = -0.3 + 0.2. Sort p, o, h in decreasing order.\nAnswer: h, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11369 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Find the third derivative of -h**2 - 11*h**3 + h**k + 5*h - 5*h wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**2 - 17*m + 101. Calculate the remainder when c(18) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 18 = -7*s. Let l = 2878.8 - 2879. What is the nearest to s in -2\/11, 3\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -19*v**2 + 44*v**2 - 23*v**2. Let h(w) = -14*w. Determine f(h(b)).\nAnswer: 392*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*(-552)\/(-10212)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 0, -41, 47.\nAnswer: -41, -5, 0, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-980) + 18\/42)*6\/(-9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 9*j. Let q(s) = -6*s + 9*s + 458 - 457 - 6*s. Give k(q(h)).\nAnswer: -18*h**2 - 15*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36950496?\nAnswer: 2, 3, 11, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*h + 3*y, -1730*y = -5*h - 1732*y - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45587, 45582, 45575, 45566?\n\"Answer: -o**2 - 2*o + 45590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4679 - -6697. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 8. Let b be 3\/((-14)\/8 - -1). Let c be (0 - -22)*b\/(-8). Let k be n(c). Solve -k*j + 0 - 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a millisecond in microseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 1. Let g be c(-3). Suppose -3*h = 2*h - g. Suppose 19 = h*r - 3. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/11 - 25186*j**3\/11 - 75426*j**2 - 829202*j - 3039520 = 0 for j.\nAnswer: -12560, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1942355\/7 or -277478?\nAnswer: -277478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 649619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 107 = -5*b, d + 4*b = 4*d - 277. What are the prime factors of d?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 6*g - 1576. Calculate the remainder when g is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 3*p - 4*p)*(3*p - 3*p + p)*(3*p**3 - 7*p**3 - 5*p**3).\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10395 and -0.5?\nAnswer: 5197.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22078692000 rounded to the nearest one million?\nAnswer: 22079000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 5. Let a be x(7). Let r be 1 - a - 1*-2. Let f(y) = y**3 - 6*y**2 + 5. Let j be f(6). Calculate the greatest common divisor of j and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((-30)\/(-80))*68\/(-17).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8 = 2*d + 5*l, 0 = 4*d + l + 20. What are the prime factors of ((-24)\/((-16)\/d))\/((-9)\/384)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**3 + 3*l**2 - 2*l - 1. Let v be b(-1). Solve -3*i - 12 + 0 = v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -10, 2\/7, -5, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 3073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 1618 = 15*t, -2*d + 252*t - 241*t = 1190 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.5 = -26427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10671, 21346, 32023, 42702, 53383, 64066, 74751?\n\"Answer: f**2 + 10672*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11611981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 - -261. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538851872.\nAnswer: 2, 13, 1295317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -338*m**2\/5 + 312*m\/5 - 72\/5 = 0. What is m?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05243 - -2.98057. Let o = q + -0.033. Let c = 0.1 - 4.1. What is the nearest to -1 in c, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 2812914.\nAnswer: 22503312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9327.8 times -106\nAnswer: 988746.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46752 divided by 1948.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1545 - -4?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686150 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, 8, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 64\/43395 (b) -5\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -233?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12282 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = -f + 7, 3*f = -5*g + 6. Determine m, given that 51*m**3 + 15*m + 46*m**g - 87*m**3 - m**5 - 20*m**2 - 4 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 7*h - 13*h)*(2 - h**4 - 2*h**4 - 4) - 2 + 4 + 0 + 2*h**5.\nAnswer: 11*h**5 + 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313 - 1311220?\nAnswer: -1312133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/(-180) - 64\/(-36) - (1 - 918190) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**3\/3 + s**2 + 3. Let v be p(-2). What is the units digit of 11\/(-1)*(v + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199333781 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57085 is divided by 1939.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*i - 270*i = -412*i - 901 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 2*j + 1. Let n be o(-1). Suppose k = -2*f - 7, 0 = n*k - 4*f - 0*f + 14. Let b = 137 + k. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 29 = -35*r. What is the remainder when 115 is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225869 = -123*j + 184336. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 41\/3 - 6\/9. Let c = -4 + a. Suppose -6 = 2*h - 2. Let o(f) = f + 3. Let x(m) = m**2 + 4*m + 13. What is c*o(l) + h*x(l)?\nAnswer: -2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 22*y - 774. Calculate n(33).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2489 - 2438 - (59 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 21*z - 25 = 26*z, -4*i - 7*z = 32 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, f: 2, b: 3}. What is prob of picking 2 k and 1 f?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1146 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63352165, -63352144, -63352125, -63352108?\n\"Answer: -m**2 + 24*m - 63352188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.290488 rounded to three dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7878 and 50298?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1233716*o*p*w**2 + o*w - 168014*o + 4*p wrt w?\nAnswer: 2467432*o*p*w + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-18)*((-63)\/(-6) - 3). Suppose -d*r = -6*r - 84. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.497 + 1.497. Let k = -4 - -7. Let j = k - 2. Which is the second biggest value? (a) j (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 60843778?\nAnswer: -304218890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 11:49 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*g - 1428 = 548*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 4, -52, -11, -5, 0 in decreasing order.\nAnswer: 7, 4, 3, 0, -5, -11, -52","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 5*n**2 - 5*n - 5. Let c(t) = -3*t**2 + 3*t + 3. Give -5*c(k) - 3*i(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 218034 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: Simplify ((sqrt(98) - (sqrt(98) + sqrt(98) + -1 + 0))*1*4)**2.\nAnswer: -224*sqrt(2) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/4)\/u)\/(u\/(u*u*u**(-5)*u)))**30*(u**1*u)\/u**(-2\/7)*((u\/(u*u**(-1\/2)))\/u*u)**(4\/9) assuming u is positive.\nAnswer: u**(-10079\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) 4 (c) -88 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 8 = 0. Let n = 14 + -2. Let t = -7 + n. Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 40. Let f = o + -36. Suppose -f*k + 2 = -6. What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25879282 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 40\/3, -1\/6, -0.05 in decreasing order.\nAnswer: 40\/3, -0.05, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 81 - f**3 - 164 - f**2 + 85. Let s(d) = -d**3. Calculate i(m) - 2*s(m).\nAnswer: m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -31. Let g = 3 - d. Let o = -6 - g. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-187)\/204*((-42)\/(-77))\/(-3)*-7?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 - 96*h\/11 - 1152\/11.\nAnswer: -2*(h + 24)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 5295, -4, 1\/4?\nAnswer: 5295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**(27\/7)\/(s**2)**(-49) assuming s is positive.\nAnswer: s**(767\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/22)\/(8\/(-1960)). Solve -243*p + y*p = 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 2976\/1111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - sqrt(190)*2*-5 - sqrt(190)))\/(1*sqrt(1440) + sqrt(1440)))**2.\nAnswer: 171\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 37310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145844*f + 145840*f - 15 = -7*r, -2*r - 2 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 1. Let m(z) = 3*z + 2. Let v(o) = 26*o + 2. Let y(s) = -6*m(s) + v(s). Determine -10*h(r) + y(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -332\/905 + -6\/181. What is the closest to o in 0.5, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 7) to base 6\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.5 (b) 3 (c) 0.7 (d) -0.09 (e) -0.033\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 3\/2, -1\/3, 105.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)\/j*j**(-1\/4))\/(j*j\/j**(-1\/2)*j)**(7\/3))**(-2) assuming j is positive.\nAnswer: j**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-24)\/u*u**(-5)*u\/(u*u**(-7)\/u)*u\/(u*u*u\/u**18))**(2\/13) assuming u is positive.\nAnswer: u**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0*l. What is the first derivative of -u + 4*u - 9 + l*u + 11 wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 5:55 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 62825.7344267?\nAnswer: 62828.7344267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 82, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4174787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2. Let p(q) = -80*q. Determine p(n(g)).\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 826 - 1163 = -5*w, 5*k = 2*w - 808. Let n = -212 + w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.689649514 rounded to five dps?\nAnswer: 0.68965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, i: 5}. What is prob of sequence zii?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 38130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -3113?\nAnswer: -3118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 13403311?\nAnswer: -13403301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182768431 to the nearest integer?\nAnswer: 13519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 768107, 768117, 768133, 768155?\n\"Answer: 3*p**2 + p + 768103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0*y**2 + 16*y**2 + 8 - 19*y**2 - 4 - 2*y**3 - 6*y + 3. Let w(b) = -b**3 - b**2 - 3*b + 3. Let f = -15 + 22. Determine f*w(o) - 3*z(o).\nAnswer: -o**3 + 2*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a. Let n(t) = -8*t - 4*t**2 + 20*t + 3*t**2 - 9*t - 4*t. What is j(n(d))?\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8234, -16464, -24694, -32924, -41154?\n\"Answer: -8230*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 2)\/((-1)\/(-2)). Let a(c) be the third derivative of c**5\/60 - c**4\/12 + c**3\/2 + 5*c**2 + 7*c. Determine a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1335042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b - 21*b + 21*b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7*p = -945, 0 = -v - 3*p - 44 + 225. Calculate the greatest common factor of 21 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.94 + -17. Let f = -1.1 - -1. Are s and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**3\/3 + 7*s**2\/2 + 6*s + 18. Let n be (-102)\/(-18) - 2\/(-6). Let f be (-15)\/(-2)*(-4)\/n. Determine u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10750807 and 4203.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 144 = 4*v, v + 0*v + 5*d = 25. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 3*s**2 - 3*s**2)*(423 - 424 + 26*s**3 + 7*s**3).\nAnswer: -66*s**5 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-15)\/8)\/((-189)\/(-924)) and -31\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = 2*q. Suppose -3*x + q = -104. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 298424 and 36?\nAnswer: 2685816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(6) + 3 - (2 + sqrt(108)))**2*-2*1.\nAnswer: -152 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/248 and -1\/1984.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60 times -5295.3\nAnswer: -317718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 196.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 2*c**2 - 104*c + 141. Determine h(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 768 and 30?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) 2 (c) 0.099 (d) 2\/3 (e) 11 (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -8, -7, -6, -5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89249 and 3162.\nAnswer: 9103398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 83*k**3 - 5*k**2 + 3*k + 24. Give u(-2).\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 + 1 - -1) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 45. Give p(12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s**3 - 2*s**2 - 2*s. Let i(o) = -140*o**3 + 15*o**2 + 15*o. Give 4*i(n) + 30*q(n).\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**10\/i))**(-4\/3) assuming i is positive.\nAnswer: i**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-1*-4*sqrt(931) - sqrt(931) - (sqrt(931) + ((4 + sqrt(931))*-2 - sqrt(931)) + sqrt(931))) + 0)*4)**2.\nAnswer: 11648*sqrt(19) + 241040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32159 to three dps.\nAnswer: 0.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7199871295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 1, j: 1, t: 3, s: 1}. What is prob of sequence ju?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*p - 27*p + 545 - p + 13*p wrt p?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 17 - 13)*(-10*j**5 - 9*j**5 + 24*j**5).\nAnswer: 280*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 451660921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + 1. Suppose -a = -3*j - 20 + 7, -5*a - 2*j - o = 0. Let n be (a\/(-6))\/((-16)\/18). Sort 2\/5, -0.2, n in decreasing order.\nAnswer: 2\/5, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i - 742. Let d(k) = -11*k - 1493. Give -6*d(h) + 13*y(h).\nAnswer: h - 688","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2 - 14\/6). Let o be (-1*20\/(-6))\/(c\/81). Which is greater: -88 or o?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25605.\nAnswer: 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21234 (base 8) to base 11\nAnswer: -6725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 3*h**2 - 2*h - 2. Let b = -3 - 0. Let y be v(b). Find r such that -2*r**2 - 2*r**2 + 4*r**2 - 2*r**y - 2*r**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -15*g**4\/2 - 2*g**3\/3 - 21*g - 21. What is the first derivative of w(l) wrt l?\nAnswer: -90*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103\/17 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 265420*-0.12\nAnswer: -31850.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, k: 16}. Give prob of sequence qqq.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -301 (b) 141 (c) -1 (d) -366\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 13*j = 13. Suppose -j*w + 168 = -27. What is the greatest common divisor of w and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*t + 700 = 75*t. Let i be (-62)\/14 + -6 + 450\/t. Put 4, i, -9, -2 in descending order.\nAnswer: 4, -2, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 5, -37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*b + 13. Sort b, -0.4, -1, -2\/3 in decreasing order.\nAnswer: -0.4, -2\/3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3672*o**3 - 217033*o + 217033*o + (-o - 3*o + 2*o)*(3*o**2 - 2*o**2 - 3*o**2).\nAnswer: -3668*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, 0.1, -1\/6, -3216 in increasing order.\nAnswer: -3216, -1\/6, 0.1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(sqrt(38)\/sqrt(2) + 3) + -4)**2.\nAnswer: 24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, 68, 25, 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i**3\/i)\/i*i*i*i)\/i*i*i*i**1)\/((i\/(i*i\/i**(-2\/11)))\/(i**(-3\/5)*i*i)))\/(i**(2\/5)*i\/i**(1\/3))**(2\/45) assuming i is positive.\nAnswer: i**(70793\/7425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*z = -29, -l = 2*z - 0*z - 23. Let b = -11 + l. Solve -p + 10 = b*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*o**2 + 1098*o**2 - 14965*o - 548*o**2.\nAnswer: -2*o**2 - 14965*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373, 343, 211, -23, -359, -797?\nAnswer: -1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1006 by -1668586.\nAnswer: 503\/834293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/33 + (-26)\/11*5. What is the units digit of (k + 6\/2)*2*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 39 + 29)*(i - 2*i + 0*i) to the form o*i + d and give o.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 48733*l - 48719*l + 124, 4*x - l + 185 = 0 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y - 21*y**3 - 271*y**3 - 6*y + (0 + 0 + y**3)*(-3 - 3 + 7) + y**3 - 3*y**3 + 0*y**3.\nAnswer: -293*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/645 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**1)**(-32)*(w\/w**2)**36 assuming w is positive.\nAnswer: w**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**2\/2 + 3*p + 19. Give u(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2, -4*o + 2*r + 6 = -3*o. Suppose -3*f - 12 = 0, -2070 = -o*s - 2*f + 6*f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 18*b - 60. Let c(o) = 143*o - 481. Let m(h) = 5*c(h) - 39*j(h). Calculate the remainder when 218 is divided by m(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*v - v - 608, -370 = -3*p - 5*v. Suppose 0 = -3*h, 27*h - 24*h + 96 = 4*c. What is the highest common factor of c and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -88. Let z(v) = 30*v**3 + v**2 - v. Let f be z(1). Let t = g + f. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + ((-3)\/8 - 11305\/(-152))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17057736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = -3*l + 260. Let j(i) = 2*i + 34. Let t be j(-11). What is the greatest common divisor of t and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 55. Let x(g) = -g + 1. Let d be x(n). Let h(i) = -i**3 - 2*i + 5. Let b be h(d). Put b, 2, -4 in increasing order.\nAnswer: -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 10:40 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*c + 23, s - 4*c = 29 - 2. Let q = -92 + 136. Calculate the highest common factor of s and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 66, -10, -2, 5 in descending order.\nAnswer: 66, 5, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u + 2000 = 0. Let l be (-7)\/(-42) + (-502)\/(-12). Let m be u\/(-1 - l\/(-40)). Round m to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.219885 and 12.\nAnswer: 11.780115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/9))**(-2\/23)*(c**(2\/29))**(-1\/9) assuming c is positive.\nAnswer: c**(-626\/6003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 2*g**2 + 43*g**3 - 2*g + 7 + 8 to u*g + z*g**3 + b*g**2 + r and give z.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93406049 is divided by 46703024.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10490 - -8452. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001111111010 (base 2) in base 7?\nAnswer: -35565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 = 5*y - 17, 0 = 5*y + 20. Let u be (-3 - -6)*8\/s. Let 0*m**4 + 5*m**2 - m**2 - u*m**4 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*y = -207*y - 9*y - 12000 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {o: 1, g: 2, d: 1, s: 5, m: 11}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-81)\/(-12) - (-1)\/4. Let r(p) be the first derivative of -p**4\/4 + 8*p**3\/3 - p**2 + 4*p + 10. Is r(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y - 50*y**4 + 4*y - y**3 + 44*y**4 to x*y**4 + b*y**3 + n*y + g*y**2 + l and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 22. Is u\/26 - (-24782)\/26 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142682*o - 5166 = -142969*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 94*c. Let i(p) be the first derivative of -p**4\/24 - 8*p**2 - 2*p + 142. Let h(a) be the second derivative of i(a). Calculate h(v(j)).\nAnswer: -94*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44060*g**2 - 44074*g**2 + 88134*g**2 + 3*g**3 + 5*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1226)\/(-8))\/(-3 - 117\/(-36)).\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*h + 636*h - 50 = 3*s, -15*h - 124*s = -3*h - 7*h + 2227 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 22\/(-6))\/(396\/14850).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 7. Let o(a) = 6*a + 21. Suppose 2*b - 5*p + 9 = 56, -5*b + 2*p = -65. Let j(n) = b*g(n) + 4*o(n). Give j(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.55601 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:30 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*m + 777890 - 3385474, 4*h + m = -10430408. What is h rounded to the nearest 10000?\nAnswer: -2610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*a + 3*a**5 + 81*a**3 + 66*a - 5*a**5 wrt a.\nAnswer: -40*a**3 + 486*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n - j + 208, -2*n = -3*j - 73. Let f(w) = 0*w - 2*w - n + 41. Let c(q) be the second derivative of q**4\/6 + 2*q. Determine c(f(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-32)*(-168)\/1260?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281\/((-8)\/(208\/(-13)))?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -275027016?\nAnswer: -275027016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2257058.\nAnswer: 2, 53, 107, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 686, 1379, 2072, 2765, 3458, 4151?\nAnswer: 4844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 713*b + 68 + 67 - 197.\nAnswer: -713*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/12 and 95\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -25*z**2 - 3. Let p(m) = -25*m**2 - 4. What is 4*c(k) - 3*p(k)?\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*i**2 + 72*i**2 - 13*i**3 + 71*i**3.\nAnswer: 58*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-232)*58\/319*440\/100\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -21*y**5\/20 + 9*y**3\/2 + y**2 - 7. Differentiate i(v) with respect to v.\nAnswer: -126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 228 = -32. Calculate the remainder when 17 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 1)**2 - (sqrt(143) - -1*sqrt(143))\/sqrt(11).\nAnswer: 10*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-22 - -33) + -37\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luwblluwlllu. Give prob of picking 3 u and 1 w.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 11 = q - 6*y, -5*q - 8 = y. Let c(g) = g**2 - g. Let p be c(q). Let d = 1 + p. Calculate the greatest common divisor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855448.65 minutes to weeks.\nAnswer: 84.8659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -15e51?\nAnswer: 15e4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46884*b**5*c**2 - b**3*c**2 - 3*b**2 - 27732*c**2 wrt b.\nAnswer: 2813040*b**2*c**2 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 6. Let j be (-3)\/(-6) + 2\/(-4). Calculate q(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*j + 75, -j = -0*j + 3*y - 31. What is the lowest common multiple of j and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3. Let a(j) = 7*j**2 + 7*j + 6. Suppose -4*d - 4*i + 80 = 0, 2*d + 1304*i = 1305*i - 2. Let v(r) = r**2 + r + 1. Determine d*v(x) + k*a(x).\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 + 0*u**2 + u**2)*(-373*u**2 - 292*u**2 + 54*u**2) as g + f*u**2 + d*u + z*u**4 + p*u**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283394287.\nAnswer: 11, 59, 83, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j + 1. Let a = 2 - 3. Let s be p(a). Suppose -y + o = -11, 0 = -s*o - 23 + 3. Solve y*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4)*1 - sqrt(24) - 3*sqrt(24)*1)\/(-1*(sqrt(972) + sqrt(972)*-4 + sqrt(972))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10453 = 4*t + 423. Let m = -1920 - t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, o: 5}. Give prob of sequence vv.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48104 + 84474. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q**2 - 12*q + 10. Let c be h(5). Solve -5*y = -5*f - c, 15 = y - f - f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - (3 + -4)) + 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 321 - 197. Let v = 43 + 76. Let j = v - 88. What is the greatest common divisor of p and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2894, -0.1, -3.\nAnswer: -3, -0.1, 2894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.005 and -150639.\nAnswer: 753.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1012?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.24? (a) 2 (b) -12 (c) -0.5 (d) -3 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 11, -19, -83, -193, -361, -599, -919?\n\"Answer: -2*d**3 + d**2 + 3*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -35b743b?\nAnswer: -35b743b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -738?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + 15*v + 3. Let s(g) = 2*g**2 - 14*g - 4. Let d(b) = 4*r(b) + 5*s(b). Factor d(t).\nAnswer: -2*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.98332 centuries in millennia?\nAnswer: 4.398332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 3119?\nAnswer: 3119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exje. Give prob of sequence jxee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139220633?\nAnswer: 17, 23, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 8*a**2 + 3*a)*((2*a + 2*a - 3*a)*(0 + 0 - a) - a**2 + 0 + 0).\nAnswer: -16*a**4 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157615 and 725?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172250*g**2 - 172250*g**2 + 15836*g**3.\nAnswer: 15836*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36525 + -178.\nAnswer: 36347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 - 4.38. Let p = 1.2 - z. What is p rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 950 + -1 - (-1 - -1)\/2. Let c = r - -3247. Suppose 0 = -n + 5*n - c. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.45 - -2. Let c = -0.05 + i. What is the biggest value in c, 0, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.9 - -3.77. Let l = -0.12 - r. Put l, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**4\/4 - y**3\/6 + 3*y**2. Let u be x(-2). Suppose -82 - 6 = -a. What is the highest common divisor of u and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10*f - a = -14, 3*f = -4*a + 22. Calculate the lowest common multiple of f and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7610*q - 791*q**4 + 1061*q - q**3 - 2330*q**4 + 271*q**4 wrt q?\nAnswer: -34200*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, -31, -145, -313, -541, -835?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 6*w - 5. Let h(i) = -i**3 - 6*i**2 - 5*i - 5. Let o be h(-5). Let d be s(o). Solve 4*g + d*g - 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 56.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u**2 + 19*u + 37. Let g(l) = -3*l**2 - 5*l - 9. Let r(b) = -9*g(b) - 2*n(b). What is r(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 115, 37, -83, -251?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 443 - 5*n**3 + 2860*n**2 + 516 - 1429*n**2 - 1431*n**2 to t*n**3 + x*n + a*n**2 + u and give u.\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 846, -1, 22 in descending order.\nAnswer: 846, 22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3 + 216*s**2 + 53776380*s + 74933863408 = 0. What is s?\nAnswer: -2099, 4252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) 10.9 (c) -1\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqhoqdoqddhdudu. What is prob of sequence uh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1860 and -1863 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 + -82. Do 82\/3 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3)\/1 + 24. Let o = d + -12. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = -4*k. Let b(x) = x**3 - 4*x**2 - 4*x - 7. Let p be b(5). Let h = p - k. Let a(q) = 2*q - 3. Determine a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109735 is divided by 36576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 + 17 = 0. Solve m*w = 2*w + v + 2, -4*w - 3*v = -10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187450476 to the power of 1\/2, to the nearest integer?\nAnswer: 13691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (8 + -14 + (8 - 16))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a835 (base 14) to base 3.\nAnswer: 1110212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 - (6 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 402, 473, 570, 687, 818?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173703 - -249710. Suppose 3*g - j - 81151 = 0. Suppose 5*y + z - 444998 = 0, z + 36616 = y - g. What is y rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/1)\/(-1 + 3). Suppose -4 = 2*o - 3*o. Suppose 2*h + o*r - 2 = 0, -2*h = h + r - 8. Solve p + u = h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48113.16 litres to millilitres.\nAnswer: 48113160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010619509 rounded to 7 decimal places?\nAnswer: 0.0001062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, -1\/195 in descending order.\nAnswer: 5, -1\/195, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqq when three letters picked without replacement from qlllqqqq.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l + 54. Let u = 27 + l. Factor 2\/3*i**4 + u - 2\/3*i**3 + 0*i + 2\/3*i**5 - 2\/3*i**2.\nAnswer: 2*i**2*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Suppose -r = 4*r + 5. Let m(q) = -q**2 + q - 1. Let o(j) = -7*j**2 + 6*j - 6. Let z(p) = r*o(p) + 6*m(p). Determine z(l(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -c3ae (base 16) to base 12\nAnswer: -24ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:19 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 1384, -3 in descending order.\nAnswer: 1384, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Solve i = a - 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t. Let n(m) = 374*m - 803 + 2380*m + 803. Give n(i(o)).\nAnswer: -13770*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 18*r**2 - 18*r - 23. Let l be z(13). Calculate the lowest common multiple of 20 and ((-8)\/3)\/((-49)\/l).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*v**2 - 33*v\/5 - 2\/5.\nAnswer: (v - 1)*(35*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3176284)\/11 + 3 + 4*13\/572. Round w to the nearest 1000.\nAnswer: -289000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 65*i**2 - 32*i + 2. Let u be n(-32). Suppose 2*h = 6, u*y - 712 = h + h. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -601 (base 13) to base 10.\nAnswer: -1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 11}. What is prob of sequence ev?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1013448525 - -603951199. Let d = w + 409497289.9999951. Let x = 36 + d. What is x rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ream when four letters picked without replacement from rrxraxqrxeerermaea?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*u + 210. Let h be (-36)\/270 - (-116)\/u. Let m be 7\/22 - (-2)\/h. What is the third smallest value in m, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9543 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 1\/4, -177, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*n + 414, n + 5*z - 141 - 48 = 0. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3*(1 - -14). Suppose z = 3*k - 532, -s*z = 4*k - 10*z - 702. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/(-32))\/(12\/8528). Let b = -615 - f. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12864*y + 25655*y - 12399*y.\nAnswer: 392*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/25)\/(p\/(p\/(p**(-4\/13)*p))*p)*p**23*p**(-31) assuming p is positive.\nAnswer: p**(-3163\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12)\/((-111)\/(-5920)*-10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y = -78605993 + 78610078 for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*-1*(-12)\/8\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 92, 97, 106, 119, 136, 157?\n\"Answer: 2*z**2 - z + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 8*n + 78479. Is u(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 4\/(-2) - 7. Let b = o + 7. Find the first derivative of 4 - 3*h**b + 5*h**2 - 3*h**2 - 5 wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12697217 + 0.126386. Round r to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117093?\nAnswer: 3, 23, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**9\/504 + y**8\/210 + y**7\/84 - y**6\/90 + y**3 + 5*y. Let o(l) be the second derivative of g(l). Solve o(a) = 0 for a.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 12*s**2 + s - 20. Give o(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64908 by -6.\nAnswer: -10818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3418 + 8504. List the prime factors of w.\nAnswer: 2, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16254860 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(98)*1 + -3 + -2 + sqrt(2)) + (3 + sqrt(10)\/(sqrt(5) - (sqrt(720) - (sqrt(720)*2 + sqrt(720)))))*6.\nAnswer: 8 + 406*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-33) + 5820\/(-66). Let b = -51 - n. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let m(x) = -17*x + 108. Suppose 3*q + 4*a + 10 = 0, -2*q + 5*a + 11 = -5*q. Let l(f) = -4*f + 26. Let p(b) = q*m(b) + 9*l(b). Give t(p(i)).\nAnswer: 4*i**2 - 72*i + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 182?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9683744 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**2\/2 + 40*b + 25. Let c be v(-35). Solve x + c = m - 0*x, 0 = -2*m - 3*x + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*((1 + sqrt(363)*1)**2 + 1 + 2*sqrt(363)) - (0 + sqrt(363) + sqrt(363) + -1 + -2)*-6).\nAnswer: -13032 - 2376*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*t - 182*t - 3162 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -34?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1934 - 1931. Let h(d) = -6*d**2 - 15*d + 10. Let g(u) = u**2 + 3*u - 2. Let k(j) = 11*g(j) + 2*h(j). What is k(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 83853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/7)*(m**(-1\/3)*m)\/m)\/(m**(-5)*(m\/(m\/m**5))\/m) assuming m is positive.\nAnswer: m**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 2. Suppose 621*p - 6769 = 6893. What is the smallest common multiple of p and f(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176231 or -176234?\nAnswer: -176231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = 1. Let h be -2 - (a + (-9)\/2). What is the smallest value in -1, h, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwxj when four letters picked without replacement from {w: 10, j: 2, x: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -52 - (-27 + 14 - 22)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 4:43 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -80*d**6\/3 - 18*d**3 - 219. What is the third derivative of y(w) wrt w?\nAnswer: -9600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, u: 4, k: 2, m: 1, f: 4}. Give prob of picking 2 f.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2. Let r(t) = 39*t**2. Let b(w) = -18*i(w) + 5*r(w). Let x(m) = 3*m**2. Let q(s) = -s**2. Let a(h) = -5*q(h) - 2*x(h). Determine b(a(j)).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-12)*(0 + -3). Let i be (134\/f)\/((-3)\/138). Suppose -56 = -y + 2*c + 248, -i = -5*y + 3*c. What is y rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 998304908?\nAnswer: 998304908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/(-10))\/((-12)\/4))\/(91\/28).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*3808.\nAnswer: -30464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1.0594.\nAnswer: 3.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614595?\nAnswer: 3, 5, 40973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((56\/49)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/46*(-16)\/12?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 34 - (5517 + -5516)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/6))**(-45))**(-39)*(g\/(g*g**2)*g)\/(g**(-3)*g)*(g**(2\/9)\/g)\/(g**(-2\/9)\/g) assuming g is positive.\nAnswer: g**(26351\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -169 + 2491264\/14720 + 2\/(-10)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 4377675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69508863.\nAnswer: 3, 7723207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6299 - -6295. Put -19, r, -8 in decreasing order.\nAnswer: r, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*b + 37*b + 26*b)*(b**3 - 6*b**3 - 3*b**3)*(-9 + 1 + 4)*(0 - 2 + 1) to the form j*b + v*b**2 + h*b**3 + m*b**4 + u and give m.\nAnswer: -1504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 3*t**2\/2 + 45*t + 3082. Determine o(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2657 is divided by 636.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -b + 95, 5*d - 115 = -2*b - 3*b. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188986, -377957, -566916, -755863, -944798?\nAnswer: -1133721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -99132, -99134, -99136?\n\"Answer: -2*f - 99130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -37, -64, -113, -190?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-273) + 1\/(-3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k - 1. Suppose -2*h - 1 - 5 = 0. Let p be x(h). Calculate the highest common factor of 48 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1180 and 20?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 119754?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -2\/13, -209?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*o - 11, c + 3*o = 2 - 3. Solve -2*x + 4*x = -c*a + 6, 2*x + 29 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 6*s = 3*s - 49, -4*g = 3*s + 38. Let r = -22 - -44. Let n = r + g. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 74. Let q(v) = -36*v + 44. Is 37 a factor of q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57038 - -5?\nAnswer: -57033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5550933?\nAnswer: 3, 599, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24*1*10\/40 + (10 + -10)\/3. Let s(p) = -p**3 - 6*p**2 - 6*p. Let c be s(-5). Let u(l) = -l + 4. Let z(m) = m - 5. Give c*z(b) + n*u(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2844 divided by 711.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007456719 rounded to 4 decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1265 = 513*q - 1290 - 7105 - 6208 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 861.\nAnswer: -51.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-150))\/(-2*1\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 143220 = 41*x. Let z = -11031 - x. What is z rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -2. Suppose h*k - 87 = k. Let c = k - -4. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 16. Let w be m(-10). Suppose -w*z = -3*p + 989 - 281, -2*p + z = -477. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)*r*(r\/(r\/r**(-2\/15)))\/r)**(-23)\/((r*r\/(r*r*r**(3\/4)*r*r)*r)\/(r\/((((r**4*r*r)\/r*r)\/r)\/r)*r)*r**7*r*r\/r**(-2\/3)*r*r) assuming r is positive.\nAnswer: r**(-2159\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 + 12*w**2 - 8*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 0.025, 55, -2\/9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3191331*a + 28178495 wrt a?\nAnswer: 3191331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjl when three letters picked without replacement from {o: 4, s: 3, e: 1, j: 1, l: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*j - 242, -4*t + 3*j = -2*j - 316. Let m = t + -49. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/3))\/z**(4\/5)*(z\/(z\/z**5))\/z*z*z**(-9)\/z*z assuming z is positive.\nAnswer: z**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27498?\nAnswer: 2, 3, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -2\/3, -5, -498233.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from xzgjwpggxwxp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2030360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**4\/12 - 5*q**3\/3 - q**2 + q. What is the units digit of g(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (5 + (-8 - 7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -4. Let t be 34\/u + 9\/36. Let q = -3\/91 - -209\/819. What is the biggest value in 0, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 446301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -3. Let q = -24.85 - m. What is q rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 16*l - 102. Calculate w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (296\/(-48) - -3)*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 16. Solve 3*c = 5*c + h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z - 8. What are the prime factors of (-1)\/(-2*z\/(-216))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11424855331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - 2*w**5 - 16*w**5 + (-3*w**2 - 4*w + 4*w)*((4 - 5 - 1)*(-w**3 + w**3 - w**3) + 14*w**3 - 2*w**3 + w**3).\nAnswer: -62*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/13 + 61\/78. Let b = 20398 + -20355. Is h < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 5:04 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.44, -0.2, -6, 4, 5, -1 in descending order.\nAnswer: 5.44, 5, 4, -0.2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {o: 14, r: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**4\/12 - 2*x**3\/3 + 1117*x**2\/2 - 9*x + 423. Let a(k) = 2*k**2. Determine d(a(b)).\nAnswer: 4*b**4 - 8*b**2 + 1117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -49*d - 4. Let m be n(-1). Suppose 0 = c - q - 18, -c = -6*c - 2*q + 90. What is the hundreds digit of (366\/c)\/(3\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - b + b + 0. Suppose 5*m - x = 3*m + 12, -3*m - 4*x - 4 = 0. Let q(s) = -2*s + 0*s + m*s. Determine q(o(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 2 - (-7 + 5). Let v be ((-110)\/(-3))\/(r\/3). Let c be -2 - (v\/(-12))\/(-5). What is the biggest value in c, -3, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315152 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = -144. Let h be 90520\/d + 6\/(-27). Suppose 6*q - 9*q = -h. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-18)\/(-6)*246\/9)\/2 is divided by (34\/3)\/(6\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159808001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33390, -66906, -100422, -133938?\nAnswer: -167454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1464, 3380, 6574, 11046, 16796, 23824?\nAnswer: 32130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -173d + 17da?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 409\/715 - -4\/143. Which is the second smallest value? (a) -2 (b) -0.065 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532201 to the power of 1\/2, to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -4, 15 in descending order.\nAnswer: 15, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + u**2 - 5*u**2 + u**2 - 4*u - u**3 - 8. Let l be n(-5). Suppose -55 = x - l*x. Calculate the highest common factor of 40 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9760358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117364.\nAnswer: 2, 13, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.16 + 14.94. What is y rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 3\/5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**8\/4200 - l**7\/1050 + l**6\/900 + l**3\/3 - 5*l**2. Let v(s) be the first derivative of d(s). Suppose v(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {k: 1, i: 1, q: 4, e: 10, n: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*16\/21*90\/(-120)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*u + 88 + 20 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 15915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1 + 1 + (-63)\/35). Suppose l*g = g. Solve 10 = 5*d - g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1126, -2304, -3502, -4726, -5982, -7276, -8614, -10002?\nAnswer: -11446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1428, 1413, 1398, 1383, 1368?\nAnswer: 1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {q: 2, e: 2, i: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -2, -199, 4.\nAnswer: -199, -4, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z - 16. Is 19 a factor of -5*((-88)\/z - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.37407kg to tonnes.\nAnswer: 0.03437407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from oitmbsm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/95*4\/16?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/546 and ((-32)\/(-300))\/((-48)\/60) + 122\/(-1560).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13412.28 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**4 + 9*l**3\/2 - 1938*l**2 - 11511*l\/2 - 3819 = 0.\nAnswer: -67\/4, -2, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-312)\/(-36))*(-28)\/6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1 + 3*u + 2 + u - 15*u**2 + 12*u**2. Let a(j) = -6*j**2 + 7*j + 6. Let m(d) = 4*a(d) - 7*g(d). Factor m(v).\nAnswer: -3*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -383 divided by 43\nAnswer: -383\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3*4\/24)\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893294838 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -8 - (-5 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*v = -326*v + 816 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 31 = 9*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9841, -9677, -9403, -9019?\n\"Answer: 55*k**2 - k - 9895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 32*o**2. Let y(g) = -2*g + 4. Let w(f) = 1. Let n(k) = -4*w(k) + y(k). Calculate u(n(j)).\nAnswer: 128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 225 = 6*r. Let c(a) = a**2 + a + 1. Let b be c(-2). Let l(q) = q**2 + q + 3. Let u be l(b). Calculate the highest common divisor of r and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/268? (a) 148 (b) -2\/19 (c) 12\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/225)\/(-7*(-5)\/45)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 326 times -1.2\nAnswer: -391.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1140*p + 1394*p**3 + 1140*p + (5 - 5 - p**2)*(-5 + 5 + p) - p**3 + p**3 + 2*p**3 to j + i*p + l*p**2 + a*p**3 and give a.\nAnswer: 1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*(f*f**(-34))\/f*f)))\/(f*((f*f**37*f)\/f*f)\/f))**(-16) assuming f is positive.\nAnswer: f**1136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-59 + 8 + 7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10964 in 1\/4, 3, 3\/8, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**2 + 3 - 3 + (z - 4 + 4)*(4*z - z - z) - z**2 + 2*z - 2*z + (4*z - 3*z - 2*z)*(-z + 0 + 0) as w + b*z**2 + t*z and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/141 - -233\/282. What is the fourth biggest value in b, -1, 1\/3, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2. Let a = 140 - 96. Let d(t) = 62 - 118 + 55. Let j(k) = -k - 11. Let f(m) = a*d(m) - 4*j(m). Calculate r(f(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 267695?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 4. Let k(g) = 22 - 25*g - 2*g + 0*g + 13 - g. Calculate 35*c(t) - 4*k(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/38 - -2\/95. Let q = -18.9 + 19.1. What is the closest to -1 in k, 2, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 24*t**2 + 30*t + 158. What is r(-23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1, -0.1, 24 in decreasing order.\nAnswer: 24, 2, 1, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2170366 - 141?\nAnswer: 2170225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w - 25. Let m be k(4). Solve m*b - c = 4*b + 9, 5*c = b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954032264.\nAnswer: 2, 101, 1180733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711682 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myymyyyyymmmymmmmyy. Give prob of sequence ymm.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -18*u + 76. Suppose -4*s + 5*n = 8, s + u*s = 3*n + 3. Solve s = -o - 2, 5*k + 3*o = -20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 - 0.4. Let j be ((-192)\/5)\/8 - -4. Let c be 5\/((5 - 1) + -2). What is the second smallest value in r, -4, j, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9333 + -1521276\/163. Let s be (-7 - -4)*12\/27. Sort -0.5, s, j in descending order.\nAnswer: j, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21967, 21968, 21969, 21970, 21971, 21972?\nAnswer: 21973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83413761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + k - 30*k**2 - 3 + k**3 + 33*k**2. Give m(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2 - v**3 + 4*v**2 - v + 0*v**3 - 1039 + 1051. Let g be -2 - 0 - (0 + -2). What is the remainder when w(g) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*g + 717 + 678 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.2 plus 0.07?\nAnswer: 68.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8405\/2 - 4171. Calculate the common denominator of -101\/2330 and f.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*f + 4*x - 1750, -1374 = -4*f + 2*x. Suppose 14*n = 6*n - f. Let a = 18 - n. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -704 - 5?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 2099 = 736. Suppose 3*i + 38 = o, 4*o + i = 72 + 67. What is the greatest common divisor of o and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26563 is divided by 231?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 = -s + 2*s, -3*t + 27 = 2*s. Let u be s\/8 + (-1155)\/20. Let w = -20 - u. Calculate the remainder when w is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41.3032 and 0.0653?\nAnswer: 2.69709896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*j + 4064 = 71*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 6*b**2 + 3*b + 4. Let u be i(5). Suppose 19 = 13*z + 6. Let l = -6 + 6. Sort z, u, l.\nAnswer: u, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:02 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, g: 4, b: 1, p: 5}. What is prob of picking 1 b, 2 p, and 1 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u - 2. Suppose -2*b - u = -3*b. Solve -b + 6 = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 32 - 17*n + 120 + 16 - 13. Let u be m(9). Solve u*f + 10 - 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53485.4 less than 5?\nAnswer: -53480.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44634 times -24?\nAnswer: -1071216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0530062 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/88*-148*-2*1\/3\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(171)\/sqrt(3))\/sqrt(3) - (sqrt(152) - -1*sqrt(152))\/sqrt(8)) + 2.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 72. Calculate the lowest common multiple of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2 - 2*x + 2. Determine o(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 35 = -13*l. What is the closest to -1 in 2, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in 1\/2, 4, -62012?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/80)\/((-15)\/10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7752.4 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81322902, -81322904, -81322906, -81322908, -81322910, -81322912?\nAnswer: -81322914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 9:53 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + j = 6*j + 14, 4*o - 4*j = 24. Suppose 3*u - 9 = 0, -4*x - 3*u - 2 = -3. Put -4, x, o in ascending order.\nAnswer: -4, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 232472178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 14205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:53 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**7\/840 - 17*z**6\/160 + 33*z**5\/80 - 49*z**4\/96 - 155*z**2. Let w(k) = 0. Calculate k.\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 - 10*d + 7. Let b be k(-5). Let h = b + 18. Suppose -2*u + 3*a + 26 + 67 = h, 5*a = 15. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 + 226*h + 68. What is p(29)?\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271808 divided by -67952.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/3 - 24*g + 70\/3 = 0. What is g?\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12525*j**2 + 2 - 8*j**3 - 12503*j**2 - 23*j**3 + j in the form t + a*j**3 + h*j + f*j**2 and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -75.1. Let j = 16.4 - 3.4. Let p = z - j. Which is the closest to p? (a) -2\/7 (b) 1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31051000 rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715896.5mg to micrograms.\nAnswer: 715896500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 (base 12) in base 9?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1, -2\/53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10\/2752909?\nAnswer: 10\/2752909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyy when three letters picked without replacement from {y: 2, t: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/((z\/(z*z**(-2\/21)\/z))\/z*z*z*z))**30)**0)**(-3\/7))**(21\/5) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(208) - sqrt(130)\/(sqrt(160) - sqrt(10))) + 4.\nAnswer: 1 + 11*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -475001919\/1000 - -475002. Find the common denominator of a and 127\/6.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*sqrt(162)*5 + sqrt(162))**2)*-3.\nAnswer: -95265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.51 and 19381.\nAnswer: -9884.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqq when three letters picked without replacement from cxqggqxxxgqcxcx?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169446954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let x be v(5). Let m = x - 2. What are the prime factors of -1 + 2\/m*15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2 + 22*u + 9. Let t be j(-4). Let n(q) = 2*q - 8*q + 2*q**2 - 29 + t + 15. Calculate n(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/21 + -1)*3\/4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 185\nAnswer: -4\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - 4*m + 24, 2*m = 3*o - 44. Calculate the smallest common multiple of 68 and o.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3370 (base 12) to base 16\nAnswer: -1644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iccicicc. What is prob of picking 2 i and 2 c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8758 and 414193?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5844332 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 821406?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = 3*s, 7*s = 11*s - 12. Let b(j) = 0 + j**2 - 4 - j**3 + 0 - 3*j**x. Give b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g + g + 703240*g**2 + 6*g.\nAnswer: 703240*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2716 times 0.1?\nAnswer: 0.02716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23512 - -23493. Let u = 9 - 13. Sort 0.5, -1\/2, u, w in increasing order.\nAnswer: w, u, -1\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let y = 357.98 + -358. What is the third smallest value in x, y, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -198.88 and -42.87.\nAnswer: -241.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**2 + 4*n**2 + 18*n - 20*n - 5*n**2 - 8*n**2 - 2*n**2.\nAnswer: -24*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by 17?\nAnswer: -67\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1286745 (base 9) to base 6.\nAnswer: 23053105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/13)*b*b**(-1\/6)*b*b**5\/b*b*b**(-1)*((b\/(b*b**(2\/3)\/b)*b)**(1\/17))**34 assuming b is positive.\nAnswer: b**(225\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13358513*-0.4.\nAnswer: 5343405.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -6803?\nAnswer: 4\/6803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8367\/15 - 0 - (-9)\/45. Put -5, l, -2\/3 in increasing order.\nAnswer: -5, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {s: 4, o: 4, b: 1, y: 3, e: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 60*z**2 + 499*z + 80. Give g(50).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2920928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 1. Let i(z) = -6*z - 6. Suppose 0 = 3*g - 5*g - 24. Let w be 6\/g*10\/1. Determine w*n(l) - i(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 74*u + 519. Calculate y(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -143ea8 - -1?\nAnswer: -143ea7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(2\/(-8)). Let d = -13 - -10. Let s = d + 5. Which is the nearest to s? (a) x (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2694.599 micrometers to nanometers.\nAnswer: 2694599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34852*w**3 - 34779*w**3 + 69626*w**3 - 3*w + 0*w.\nAnswer: -5*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/15 - 88*l\/15 - 6.\nAnswer: 2*(l - 45)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o - 5*c = -7, 0 = o + 4*c. Let k be (-3)\/(-6)*0\/(-2). Suppose o*n + n - 55 = k. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -94*h. Let m(b) be the third derivative of b**8\/10080 - 7*b**5\/6 - b**4\/24 + 2*b**2 + 95. Let i(q) be the third derivative of m(q). What is o(i(k))?\nAnswer: -188*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*y - 26*y - 290. Let l = -55 + y. Suppose l*j - 176 = j. Calculate the greatest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-28) - 66\/(-14). Suppose p = -3*f - 76. What is the third smallest value in 4, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anazpcpanpaapaanzsas. What is prob of sequence pp?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 3*x**3 + x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1192 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -573*u - 3354*u + 5078 - 2816*u wrt u?\nAnswer: -6743","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -91\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 183*u - 592. Is m(14) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -402 + 757\/2. Let a = 24 + m. Calculate the common denominator of a and -5\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 15*l - 20. Let q be p(-16). Let m be -4 + (-6 + q - -3). Is m not equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*3 - (-1 + sqrt(252)))**2.\nAnswer: -6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/9, 32, 0.69?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 3:44 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -14 + -19 + 18 + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4040*d - 7456. What is the least common multiple of i(-2) and 156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c + 85*c + 6*c + (0 - 4 + 2)*(-3*c - 2*c + 3*c) + 0 + 0 + 2*c - 1 + 1 + c - c + 5*c - 3*c - 2*c + 4*c + 0*c)*(-2*c**2 - 2*c**2 + 2*c**2).\nAnswer: -230*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3716.319, 1\/3, 0.4, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -644*s**3 - 2*s**2 + 67*s - 1 wrt s?\nAnswer: -3864*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 398, 32, -205 in increasing order.\nAnswer: -205, 32, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 49. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(3\/6)*-45. Let z be (-215)\/j + 4\/18. Solve -20 = -x + z*b, 4 + 1 = -b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i + 462. Calculate v(-65).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**5 + 7749*i**3 + 208*i + 14 wrt i?\nAnswer: 40*i**3 + 46494*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 10. Let m(l) = -6*l + 4*l + b*l. Let w(i) be the first derivative of i**3\/3 - 1. What is m(w(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 2 + 4*a**3 + 2*a**2 - a**3 - a**2 to the form k + z*a**3 + m*a**2 + o*a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 397 (base 11) to base 7\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315) + sqrt(35))*3)\/(sqrt(7) + sqrt(7) + (sqrt(252)*2 - sqrt(7)) + sqrt(7) - sqrt(7)))**2.\nAnswer: 720\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 3*c + 0*c**3 + 6\/7*c**7 - 2\/3*c**4 + 0*c**2 + c**5 + 32\/15*c**6 + 0. Factor j(m).\nAnswer: 4*m**2*(m + 1)**2*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31\/23? (a) 0.08 (b) -54 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/113997319?\nAnswer: 3\/113997319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3827528 to the nearest integer?\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*q - 5*c, -2*q + c = q + 11. Let z = -1 - q. Suppose -24 = -6*o + z*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 153, 340, 565, 828, 1129, 1468, 1845?\n\"Answer: 19*j**2 + 130*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/44)\/((-5)\/(-2)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 87*v**2 + 96*v - 6. What is the thousands digit of p(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 2*c. Let t(h) = -h. Let d(u) = -2*t(u) - v(u). Let w be d(1). What is the derivative of -w*n + 0 - 1 + 3 wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 less than -4922461222?\nAnswer: -4922460948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -23. Let s be (5 + 0)*(7 + -5). What is the remainder when 30 - 15\/s*2 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 7*v - 1. Let t(u) = u**2 - 9*u - 5. Let s be t(9). Calculate the remainder when d(s) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1829762 or 1829761?\nAnswer: 1829762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 28. Let w = x - -13. Suppose -t - 70 = 2*d, t - w = -1. Round d to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:55 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2409820 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -28 (b) 3\/7 (c) 0.3 (d) 9 (e) -0.02 (f) 13 (g) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d + 0 - 1\/4*d**4 + 17*d**2 + 8\/3*d**3. What is the derivative of z(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 5*w - 25 = -5*f, -5*f = -w - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 15. Let t be m(0). Let q be (-18)\/t - (-1)\/(-5). Let r = -1 + q. Solve r = -3*u - 2*i + 1, 2*u + 5*i = 3*i - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 56*t**5\/3 + 1089268*t**4\/3 + 2411476*t**3\/3 - 3890296*t**2\/3 - 3215600*t - 622368 = 0.\nAnswer: -19449, -2, -3\/14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose -2*c = 4*l - 14, -4*l + 15 = -q*c + 5. Is c smaller than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60379 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (15\/(-90))\/((-2)\/183) and 2\/(-3) + (-19)\/30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16531 + 18351 = -35*z for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 11*o**2 + 2*o - 3. Calculate the remainder when 54 is divided by d(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2 - 5*c + 9. Let w be i(-6). Suppose -w*x = 1 - 10. Let f(a) = a**3 - 4*a**2 + a + 1. Determine f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 238\/24733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-5)))\/m)\/((m*m**(1\/8))\/m)*(m**(-2))**6 assuming m is positive.\nAnswer: m**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*j + 91 - 29*j - 7)*(-2 - 1 + 2) as f*j + p and give p.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kksk when four letters picked without replacement from {w: 1, x: 1, s: 7, k: 10}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(11\/7)*y**(-35) assuming y is positive.\nAnswer: y**(-234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:53 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4054478 is divided by 777?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 915, 878, 781, 594, 287, -170?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = i - 15, -3*i = 3*m - 0*i - 30. Let y = m - 2. Suppose -3*u = -36 - y. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 7*c - 4. Let i be p(-5). Suppose i*v - 2*v - 12 = 0. What is the second derivative of -2*j**3 - v*j**2 + j + 3*j**2 wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23653878 divided by 639294\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 14) to base 7.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11213848*l**3*m - l**2*m + 2500*l**2 + 2*l*m - 48*l + 2 wrt l.\nAnswer: -67283088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 9*a**2 + 4*a - 13. Calculate the remainder when r(9) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 - -1a?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7860 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 1133385.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 34\/(-4))*-2. Let x = p - 31\/2. Let r = -531\/4 + 132. Sort r, x, -5 in descending order.\nAnswer: x, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4105144200 + -1?\nAnswer: -4105144201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6)*4*2. Suppose -n = m*u - 55 - 28, -4*n + 59 = 3*u. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 2*w**2 + w)*(-2 + 2 + 2*w) + (-3*w + 0*w + w)*(-w**2 + 2*w - 2*w) + 11 + 19*w**3 - 11 to t + p*w**2 + b*w**3 + v*w and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m**2 - 6857*m - 179316. Calculate t(-27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4691 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 31*w**2 - 3*w + 6*w + 2*w**3 + 6*w + 24*w**2 - 49*w**2 + 8. Let v(b) = -b**2 - b - 1. Calculate k(m) + 6*v(m).\nAnswer: 2*m**3 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 - -1856?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5646\/4 - -2)\/((-6)\/(-492)). Suppose -r = -4*p + 32893. What is p rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5 + 3 - w - w + 4*w**2. What is the lowest common multiple of s(2) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 65.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6309\/11 - -575. Calculate the common denominator of a and 385\/(-196) + (-1)\/(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315075641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29873 - -1828. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/200 + 3\/(-12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*1)**2 + -3.\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*x**5\/13 + 254*x**4\/13 + 3282*x**3\/13 + 11218*x**2\/13 - 10224*x\/13 - 4536\/13 = 0. Calculate x.\nAnswer: -18, -7, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60\/257 - 22205\/1542. Let i = 26783\/6 - 4443. Calculate the common denominator of i and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 37, 63, 89, 109, 117?\n\"Answer: -c**3 + 9*c**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 829, 905, 973, 1039, 1109, 1189?\n\"Answer: r**3 - 10*r**2 + 99*r + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 1233028 = 3*p, -4*p - 4*v = -1644048. Suppose -1233004 = 5*m - 2*m - 2*s, m = 4*s - p. What is m rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 75 = 14*v. Suppose 0 = -2*l + u + 5 - 2, 5*l = -4*u + 14. Which is the third biggest value? (a) -2 (b) -3 (c) v (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10345 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -348*k. Let s(c) = -233*c. Give s(z(y)).\nAnswer: 81084*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 33421*t**2 + 12*t + 11. Let b(l) = l - 1. Let k(n) = 6*b(n) + y(n). Let a be k(15). What is a rounded to the nearest 100000?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0*q - 1\/540*q**6 - 11\/27*q**3 - 1\/30*q**5 + 0 + 7\/36*q**4 + 24*q**2. Factor j(y).\nAnswer: -2*(y - 1)**2*(y + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -120*h**3 - h**2 + 50*h + 50. Let x be l(-1). What is the highest common divisor of x and 408?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82619646013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 78*x**2 - 148*x - 5539. Calculate g(-39).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 5*n**2 - 3*n - 14. Let p be d(6). Suppose 241 = p*k - 119. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.199809 - -1.\nAnswer: -21.199809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100571 is divided by 139.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in -28, 0.5, -11, -5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 7) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaa when three letters picked without replacement from {a: 4, g: 15}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - g + 3*g + (2*g + 2 - 2)*(171 - 64 + 73) as b*g + c and give b.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1240880 by -248176.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + (-10 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 10*s + 4. Let u be i(4). Let f be (-16)\/u*35\/(-2). What is the tens digit of (f - -29)\/((-6)\/(-32))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 5. Suppose -l - l + n*q = -181, 2*q = -6. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42609 times 0.3?\nAnswer: -12782.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f - 2. Suppose 5*n + 15 = w, -12*w + n - 8 = -14*w. Let o(h) = -11 - 4 - 2*h - 11 - w*h + 25. Determine -6*m(y) + 5*o(y).\nAnswer: y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516391.\nAnswer: 516391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1049577867 to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o - 5*i = -1574, -2*o + 786 = 2*i. Suppose -23*x + o + 506 = 0. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g + 33 = 0. Let z = 112 + g. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d = 11*d - 2*d - 20*d. Let s = -115\/3 - -2176\/57. Is d > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084455 + 1395561 = 113*q + 118*q. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 286, 597, 906, 1213, 1518?\n\"Answer: -z**2 + 314*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, -12, -54, 5 in ascending order.\nAnswer: -54, -12, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -161, -3, 6894, 2\/7 in increasing order.\nAnswer: -161, -3, 2\/7, 0.6, 6894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. Let o = -4 + 4. Let x = o - y. What is the third biggest value in -1\/3, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (211 - 211 + 61*x**2)*(-5 - 1 + 1) as r + t*x + v*x**2 and give v.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezzr when four letters picked without replacement from {r: 1, e: 2, z: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 + 13*q. Let n(a) = -5*a**2 + 14*a. Calculate -3*d(k) + 2*n(k).\nAnswer: 2*k**2 - 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 - 22*g**2 + 27*g + 7. Let x(y) = -3*y**3 + 14*y**2 - 18*y - 5. Let w(d) = -5*a(d) - 8*x(d). What is w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113196831 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d**3 + 5*d**2 - 3*d - 3. Let k(s) = s**3 + s + 1. Let a = 11 + -8. Let p(c) = a*k(c) + l(c). Find the third derivative of p(x) wrt x.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c (base 13) to base 16.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - 150*f + 1671. Give o(-85).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 5 (b) -2\/7 (c) 0 (d) -105 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let v(b) = -102*b**2 - 4*b. Give -10*l(i) - 2*v(i).\nAnswer: 204*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -86 - 343. Calculate the highest common factor of 39 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o**(-2\/75)\/o))\/o)\/o**(-1\/8)*(o**(-5)\/o)**14)**(2\/71) assuming o is positive.\nAnswer: o**(-49109\/21300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - 2044 + n**2 + 2*n + 1621 + (-n - n - 2 + 4*n)*(1 - 2*n - 1).\nAnswer: -3*n**2 + 3*n - 423","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r**3 - 12*r**3 + 22*r**2 + 24*r**3 - 23*r**2 + 36 - r. Determine y(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/3)*(n\/n**(1\/7))\/n)\/(n**(1\/3))**(2\/19) assuming n is positive.\nAnswer: n**(461\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 727670802?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -428627*i**3*p + 6418000*i**3 + 9*i - 2*p**3 wrt p?\nAnswer: -428627*i**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3168612 = 312963. Let x = 459475 - w. What is x rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -158959 and 0.5?\nAnswer: -79479.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 13923735*h**2 + 13923732*h.\nAnswer: 3*h*(h - 4641244)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)\/(-3 + 2). Let y be 2\/4*(5 + -1). Suppose -25 = -t + 3*v, 0 = -y*v - 9 + f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - d = 8, -4*p - 2*d + 9 + 3 = 0. Factor -50*t**p + 18737*t**3 + 85*t - 44 - 18732*t**3 + 4.\nAnswer: 5*(t - 8)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3286946\nAnswer: 1314778.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, -34, -35, -36, -37, -38?\n\"Answer: -y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 6*a**2 + 5*a - 7. What is the remainder when m(3) is divided by (-116)\/(-10) + 10\/25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20167 and 2546.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 + 216*b**3 + 2448*b**2 - 12760*b + 10092 = 0. What is b?\nAnswer: -29, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (33 - -17) - (3 - 1 - 3 - -51)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*x + 1. Suppose 4*q = n + 53, 3*n - 7*n = -2*q + 44. What is the remainder when x is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 41158.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/25 and 21\/55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -251*o**2 + 0 - 8\/25*o**5 - 7\/100*o**6 + 0*o + 0*o**3 - 1\/5*o**4. Find y, given that f(y) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/30)\/(14\/(-21))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 7*o**2 + 5*o - 2. Let a be c(-6). Solve a*s + 32 = -3*y, 3*y - 4*s + 0*s = 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*t + 6 = -62, 16 = -4*t. Suppose 90 = -3*g + 5*g. What is the remainder when g + (-2 - -1) + 2 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451\/4 - 8\/4 - (-105)\/420 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.090466 and -3.\nAnswer: -3.090466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -27*b**4\/32 - 13*b**3\/4 + 73*b**2\/16 + 4*b - 7020. Find s, given that w(s) = 0.\nAnswer: -32\/9, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 15. Let p be n(-7). Solve -17 - p = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 5*b + 0*b + (33*b + 0 - 34*b - 1)*(-3 + 2 - 1) to q*b + x and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5054*h**5 + 46*h**2 - 56*h. Let w(l) = -5052*l**5 + 44*l**2 - 57*l. Let o(u) = -6*g(u) + 7*w(u). What is the third derivative of o(k) wrt k?\nAnswer: -302400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204773054 is divided by 309?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 166.7243 meters?\nAnswer: 0.1667243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4 + 974619*s**3 - 4873044*s**2 + 7796844*s - 3898416 = 0. Calculate s.\nAnswer: 1, 2, 324868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -136.7 from -1192.33.\nAnswer: -1055.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7560493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2. Let i be d(1). Let l be (-10)\/(-200) - (-5 + 9204\/1680). Which is the smallest value? (a) i (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3\/3 - 6*f**2 + 31*f - 1151. Calculate a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/3740 and -93\/110.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*t - 15 = 0, 0 = -5*u + 4*t - 0*t + 75. Let f be ((-12)\/15)\/((-3)\/u). Suppose 0 = f*a - a - 15. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/(sqrt(5)*3) - sqrt(100)\/(sqrt(35)\/sqrt(7)))\/(1*((sqrt(810) + sqrt(810) + sqrt(810)*-2 + sqrt(810))*-2 - sqrt(810))) + 1)**2.\nAnswer: 4*sqrt(2)\/81 + 6569\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i = 45*i - 3. Let y = 212.5 - 213. Which is the second biggest value? (a) 1\/9 (b) y (c) i (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 13) in base 16?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2735 - 21*x + 403 - 388 - x**2. Let t be q(0). Round t to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 286717 or 286719?\nAnswer: 286717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Let m be n\/4 - (-33)\/6. Suppose 5*q - 45 = -m*j, 0 = -0*q + 2*q. 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 c be 20\/6 - (-44)\/66. Let p(n) = -7*n**3 - 2*n. Let a(m) = m**3 + m. Calculate c*a(t) + p(t).\nAnswer: -3*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142686644 and 16786664.\nAnswer: 285373288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktm when three letters picked without replacement from {m: 1, u: 2, h: 6, d: 2, k: 6, t: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5406, -5858, -6314, -6774, -7238, -7706?\n\"Answer: -2*y**2 - 446*y - 4958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 616\/3841 - 5\/167. Put -1\/4, -0.3, j in ascending order.\nAnswer: -0.3, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/108 and 85\/84.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.687922 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92582 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4113 = -573. Let g = a + -633. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 3*j - 151. Let v(t) = 2*t**3 - 72*t**2 - 2*t + 61. Let u be v(36). Let w be p(u). What is s in 1\/2*s**2 - 1\/4*s + 0 - 1\/4*s**w = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(a + 1 - 1) + 37 - 11*a - 37 + (-3 - 3 + 7)*(-3*a + 4*a + 0*a) + 2 - 2 - a - a + 3 - 3.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*a**2*k**2 + 10*a**2 - 4*a - 30*k**2 + 49*k with respect to a.\nAnswer: -16*a*k**2 + 20*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(1 + sqrt(13)*-1) + (5 + sqrt(13)*3 + 2*sqrt(13)*6)**2.\nAnswer: 144*sqrt(13) + 2956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-255)\/(-9))\/5 - (-3 - -11).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -0.26, -120?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*p, 3*k = p + 72. Suppose 0 = 2*a - 0*a - k. Suppose a = 5*s - 133. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112120202 (base 3) in base 5?\nAnswer: 320011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29610 - 2*o**2 - 29609 - 7*o + 7*o + 59219.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 2:47 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-3 - -7 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 28093?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11022 (base 3) in base 6?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/9, -0.11, -22?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p - 31. Let c = 25 - -20. Let v = p + c. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1514 - 3664?\nAnswer: -2150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -17*y**8\/168 - 5*y**4\/4 + 7*y**2 + 40. Let i(z) be the second derivative of w(z). Find the second derivative of i(v) wrt v.\nAnswer: -680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70383)\/(-2813) + 7 + -32?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*v = -j, j = -3*v - 9. Factor 0*f**j - 3*f**4 + 2*f**2 + 2*f**2 + 2*f**2 + 3*f**3.\nAnswer: -3*f**2*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 0*i**2 - 4*i**2 + (-2*i - 6 + 5 - 1)*(7 - 7 - 4*i) in the form d + k*i**2 + a*i and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565, -1116, -1655, -2176, -2673, -3140, -3571?\nAnswer: -3960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*q**4*s + 3*q**2*s - q*s + 53*s wrt q?\nAnswer: 228*q**2*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 801, 3364, 7599, 13500, 21061, 30276, 41139?\n\"Answer: -q**3 + 842*q**2 + 44*q - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -3, -292 in ascending order.\nAnswer: -292, -3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 426 and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 25 = 4*h - 8*s, -h - 15 = -3*s. Let q(r) be the third derivative of -2*r**2 + 0 + h*r + 1\/6*r**4 + 2\/3*r**3 + 1\/60*r**5. What is q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1441 - -1470. Calculate the remainder when 99 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b\/(b\/(b*b*b**(-2\/5)*b)*b))*b**(10\/9) assuming b is positive.\nAnswer: b**(-22\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64274641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3688?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122940885.\nAnswer: 3, 5, 31, 419, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.976 + 30. Let o = g + -0.004. Suppose 0 = x + 4*x - 20. Which is the second biggest value? (a) x (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.5. Let n = 4.5 + o. What is the smallest value in n, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -100167, -200486, -300805, -401124, -501443?\n\"Answer: -100319*d + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 19 - (1 + 23 + -6 + -22).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/82 in -5, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 + -2 + (21 - 28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165150 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13971\/(-9)*(3 + -9)?\nAnswer: 2, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + l - 1 = 0, 3*l - 15 = -5*c - l. Let p be ((-64)\/(-24) + c)\/(2\/36). Is 28 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 58*q - 222 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5019, 3143, 23, -4335, -9925, -16741, -24777?\n\"Answer: d**3 - 628*d**2 + d + 5645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -2, 227, -5.\nAnswer: -7, -5, -2, 4, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((309 - 299) + -22 + 1 - -22) + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*o - 11, -2*h - 10 = -3*o - 8. Suppose 0 = -2*y - y - 27. Let v(d) = -d - 9. Let f be v(y). Solve 4*t - 3*x - 22 = 0, f = h*t + 2*x - 20 + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = 2*t - 0, 5*h + 6 = 3*t. Let m = 1 + t. Let z(x) be the first derivative of -x**2 + 4*x + 3. What is z(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*j = 4*x + 413*j - 220*j - 320, -4*j = 2*x - 106 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -0*k. Let z be (10\/9)\/((-1)\/k). Suppose -1\/3 - 10\/3*n**2 - 1\/3*n**5 - z*n**3 - 5\/3*n - 5\/3*n**4 = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48.64 times -10\nAnswer: -486.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - -979*1328\/52041?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -95, -168, -227, -266, -279?\n\"Answer: o**3 + o**2 - 83*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -4\/15*b**5 + 0*b**3 - 23\/24*b**4 + 0*b + 0 + 30*b**2. What is the second derivative of z(r) wrt r?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 15*j + 14. Give u(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 12*q + 121. What are the prime factors of t(6)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k + 0*k**4 - 4*k**3 + 1\/630*k**6 + 0*k**5 + 0*k**2 - 2. Let l(c) be the third derivative of b(c). Factor l(j).\nAnswer: 4*j**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t - 8*t - 18*t. Let w(p) = 2*p**2 + 2*p - 2. Calculate the smallest common multiple of z(-1) and w(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -371, -2, -5, -1.\nAnswer: -371, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101 (base 2) in base 13?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4177 - -9234. List the prime factors of g.\nAnswer: 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (71 + 175 + 207)*(-322*w**4 - 3*w**2 + 258*w**4 + 5*w**2 - 2*w**2) to the form v*w**3 + n*w**4 + j + i*w**2 + f*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(9\/(-3)))\/((2\/(-1))\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 5. Determine o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z. Let k = 5 + -1. Let c(s) = -s**2 + 0*s**2 + k*s**2 - 2*s**2. Give c(w(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:57 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**2 + 45. Let h(d) = -49*d**2. Give a(h(t)).\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47 (b) -0.0599 (c) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f - 8. Let q(h) = 10*h - 20. Let v(x) = 5*c(x) - 2*q(x). Let r(m) = -16*m**2. Calculate v(r(t)).\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 + 1142*b**2 - 831*b - 171463. Give u(-381).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 33 = v, -2*a + a = 4*v - 132. Which is greater: v or 32?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 - -4. Let j = -0.28 + -0.12. What is the second smallest value in l, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqqqq. What is prob of picking 2 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64020.\nAnswer: 2, 3, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 67 = 87 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 218968454 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((((y*y**(-3))\/y*y)\/y*y)\/y))**39*(y**(-7\/3)*y*y*y)**(-3\/5))**(2\/19) assuming y is positive.\nAnswer: y**(1556\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255 - 237*l - 86 - 89 + 432.\nAnswer: -237*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -22304\nAnswer: 22301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3314 (base 6) in base 3?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*g + 14, -2*k + g = 3*g - 14. Suppose 107 = -k*p + 1122. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - 2*t**3 - 458*t**4 + 457*t**4 + 33*t + t**2 + 1 to the form w*t + x + j*t**3 + a*t**4 + i*t**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/60)\/((-2)\/(-9)). Suppose 4*c = 2 + 6. Let l(n) = 6*n - n**2 + 2 + c*n**2 - n. Give l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, g: 1, q: 1, i: 3, a: 3}. What is prob of sequence kqgi?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 4 = -3*t. Let g = -2 - t. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2352879 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175164*m - 175230*m = 2112 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/(1\/(-15)). Let c(a) = -11*a**2 + 8*a. Suppose 2*d + 0*d - 24 = 0. Let m = -4 + d. Let z(h) = -7*h**2 + 5*h. Calculate g*c(n) + m*z(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 49. Let o be g(15). Let l(a) = -4*a - 4. Let r(d) = -d**2 - 5*d - 5. Determine o*r(n) - 5*l(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 261008 to the power of 1\/2, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -z + 885, 5*b - 21*z - 4415 = -16*z. Let v = 439 + b. Does 63 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 1:49 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = l - 0*q, 0 = -q + 3. Find the common denominator of ((-41)\/(-3))\/(-3 + l) and 10\/75*(-1242)\/48 + 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/3 + 22*j**2 - 305*j\/3 = 0.\nAnswer: 0, 5, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 32. Let w(k) = -k + 15. Let y be w(n). Solve -4*g - 18 = y*v, 0*v + v = g - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156950.679 rounded to the nearest one thousand?\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*h**3 + 188 wrt h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**2 - a**2 - 5 + 5*a**2 - 4*a**2. Let m(c) = 3*c. Determine m(u(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 - 13*u - 14. Let j be o(-4). Suppose -3*y - b + 46 + 42 = 0, -4*y - 2*b + j = 0. Calculate the remainder when 142 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**2 - 5*d**4 + 6*d**2 - 2 - 198*d + 4*d**3 + 199*d to the form m*d**3 + h + l*d**2 + x*d + t*d**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51\/5 + 163\/15. Let z = 15 - 6. Let j = z - 9.2. Which is the nearest to j? (a) -4 (b) -2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = -533 - 727. Let h be 3 + (-3)\/(z\/301). Factor -h + 7*y - 1\/2*y**2.\nAnswer: -(y - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53902 and 20?\nAnswer: 539020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -307 less than or equal to 460.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*r - 18 - 14, 4*l + 3*r = -4. Let a(i) = -38*i**3 + i**2 + 4*i + 5. Is a(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -814, -798, -748, -646, -474?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 -438*d + 8676 = -84 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20981 or -20816?\nAnswer: -20816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 752192.4 decades in months?\nAnswer: 90263088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2968, -2\/13, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25313 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r, 2*s + 3*r - 6*r = 39. Let l = s + 11. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - 5*a**2 - 79*a - 149. What is f(-2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/((-330)\/(-7700))*(-87)\/58.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91961 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 - 107*u + 91. Let y be i(-25). Which is bigger: 267 or y?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyzx when four letters picked without replacement from eefffyfyeferxze.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43396 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1*5753)\/(7\/(-14)) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-864)*15)\/((-5)\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 54*t - 49. Let p be f(1). Solve -2*l + 1 = p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 take away 8132765.7?\nAnswer: -8131706.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7772 rounded to 1 decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g**3 + g**2 - 1. Let x be h(-1). Suppose 3*q + 0*q - 104 = v, 3*q + 3*v = 108. Calculate the remainder when q is divided by ((-36)\/x)\/(12\/(-40)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3540, -7040, -10540?\n\"Answer: -3500*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + sqrt(20) + sqrt(5) - (sqrt(180) + -2)**2).\nAnswer: -175 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*n - 2. Let w = n - -4. Let b be (2 + -1)*(w + -8). Sort -4, 5, b in increasing order.\nAnswer: b, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -44 (b) -36 (c) -0.478\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88975233 a multiple of 753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*c - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Suppose 1 = -k*s - 4. What are the prime factors of 6*4\/6 + s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-70) + 4\/5. Let w be (1986 - -3) + f*-3. Let p = 454 + w. What is p rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in micrometers?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3527*m - 7125. Calculate d(2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/698802 and -125\/67704?\nAnswer: 19566456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 10*s**2 + 32*s - 6. Let l be d(14). Let z be (1719\/l + 5)*12. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/12)\/2*-6. Suppose -v = 2*t - 10. Suppose -2*r = 4, -t*j + 3 + 32 = -r. What is the remainder when 42 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 + -114. Let v = -14 + 32. What is the greatest common factor of z and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504126833.\nAnswer: 7, 72018119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10668778\/101 or 105631?\nAnswer: 10668778\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 762.01866 - 756.344053538. Let f = u + 0.325392698. Let n = f + -6. What is n rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 12 (c) -3715 (d) -3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 - -1443?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287677198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8063919 divided by -13?\nAnswer: -8063919\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 5*n, n = 7*q - 2*q - 18. Suppose -q*z + 0 + 16 = 0. Suppose f = 5*v - 138, z*v - 93 = 4*f - 9*f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19555, 39073, 58561, 78013, 97423, 116785, 136093?\nAnswer: 155341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 18*g + 3. Let y be m(6). Let r(w) = 9*w**2 - 2*w - 13 - w**y + 9*w**2 - 20*w**2 + 12*w**2. What is the remainder when r(9) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3366, -3357, -3348, -3339, -3330, -3321?\nAnswer: -3312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 13. Let d(y) = 0*y + 0 + 1 - 3*y. What is the smallest common multiple of x and d(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 67. Let l be r(-24). Let g be l\/86 + (-9)\/2. Put -2, -5, 9, g in increasing order.\nAnswer: -5, g, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 236520, 473046, 709572?\n\"Answer: 236526*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2033981855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-56)\/98)\/((-4)\/70). Solve x*b - 1 = 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 k when four letters picked without replacement from yykkkkkykkkkkkkkky.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 21100425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212*a**2*n**2 - 6*a**2*n - 57*a*n - 9*n**5 - 126*n wrt n.\nAnswer: -424*a**2 - 180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - -33. What are the prime factors of (3040\/z)\/(2\/3)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 1. Let c be (-136)\/36 + (-2)\/9. Let w be x(c). Solve -w = 3*m + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5034, -4.\nAnswer: -4, -2, 0.5034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 + 32 = v, 5*z + 4*v = -18. Let b = 10 + z. Suppose -b*i = -u - 55, -2*u + 0*u = -4*i + 50. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2401401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = -0*z. Let g be 1*z\/2*-3. Suppose w + 465 = 3*d, 4*d = 9*d - g*w - 775. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011111 (base 2) in base 5?\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -209594*d + 628782. Give n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -243 + 202.3. Let c = 3.3 - p. Let j = c + -44.000059. What is j rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 21 - 36 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -486 + 496. Solve 0 = -r - 2*i - l, -2*r - 4*i - 20 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9 + 2*h - 3*h + 1 + 5. Let w be i(11). What is s in 0 + 1\/4*s - 1\/4*s**3 + 1\/4*s**2 - 1\/4*s**w = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.153? (a) -2\/11 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 500*d**2 + 640*d + 48.\nAnswer: 4*(5*d + 6)*(25*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 4*l**2 - l - 2. Let x be f(3). Suppose -1 - x = -i. Solve -3*c = -6*c + 3*q - 21, i*q = -2*c + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y - 1. Let d be l(1). Let o(x) = -3*x**2 - 8*x + 0*x**2 + 2*x - d*x**2 - 5. Let v be o(-4). Round v to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 12*i + 23. Give s(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3695, 20914, 67651, 158666, 308719, 532570, 844979?\n\"Answer: 2460*v**3 - v**2 + 2*v + 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 3*y - 7. Suppose -5*q - 15 = -5*m, -q + 27 = -m - 6*q. Let w be (-62)\/(-10) - m\/(-10). Calculate the lowest common multiple of 11 and v(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610036085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15289 + 15334. Is u at least as big as 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 8*i**2 - i + 8. Let n be b(7). Let v = 72 - n. What is the highest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 4. Let h be q(-4). Suppose 0 = -b - 6. What are the prime factors of (b\/(-4))\/((-2)\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*x**5 + 988*x**4 + 1312*x**3 - 1552*x**2 - 768*x = 0. Calculate x.\nAnswer: -48, -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4. Let a be (-8)\/(-28) - (-31)\/(-35). Which is bigger: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 702 (base 13) to base 4\nAnswer: 102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11223 (b) 3 (c) -4\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*p - 3 + 7 = 0, c = -p + 8. Suppose -c*i + 36 = -i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 11:59 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let x = 20 + -14. Let d(b) = -b**2 - 6 + 3*b**2 + x. Give w(d(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m. Let i be (0 + -1)\/(230\/77 + -3). Let b(r) = 154 + r - i - 77. Determine b(n(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 1\/6, -4, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 30 = 130. Let v(t) be the first derivative of t**2 - 45*t + 10. Let m be v(x). Is m greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31697 by 13.\nAnswer: -31697\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23415?\nAnswer: 3, 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-10))\/(6\/(-45)). Calculate the common denominator of -9 + (-332)\/(-56) + 0 and 164\/x*(-3)\/(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/42 and 107\/38.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d - d)*(-4 - 8 + 3).\nAnswer: 27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1111, 1950, 2783, 3610, 4431, 5246, 6055?\nAnswer: 6858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 193695919 + -36.7687.\nAnswer: 193695882.2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 7*l**2 - l - 7. Give q(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-15)\/(-10))\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3, -8 in increasing order.\nAnswer: -8, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17*c + 68. Let y be z(4). Solve -10*l + 5*l = y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4*w + 119, 3*k - 15 - 57 = -3*w. Suppose -45 = -4*n - 3*l - 4, 2*l + 18 = 3*n. Calculate the remainder when k is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*j + 14 = 0, 2*x - 2*j + 19 = 7*x. Suppose x*f - 8 = 70. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.000036 + 40. Round m to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 7. Let j = 3 + n. What are the prime factors of 10 - (2\/1 + j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168.6 - 188.6. Let a = -10 + 9.7. Sort a, t, -1\/6 in ascending order.\nAnswer: t, a, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 266336701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-99)\/6*2\/3. Let t = i - -24. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -28 + (-2894 - -2983).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/3 - 14371252*b\/3 + 25816610505938\/3 = 0. Calculate b.\nAnswer: 3592813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/10 + 140531\/10235 + -15?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/5)*v)\/v*v\/(v*v*v\/v**(-2\/41)*v*v)*v*v\/((v*((v**(-2\/5)\/v)\/v)\/v)\/v)*v**0)**(2\/15) assuming v is positive.\nAnswer: v**(308\/3075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 889 - 443. Let v = m - 448.4. Round v to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/25 in 6, -3, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - (-18 - (19 + -25) - -45).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -478?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 260*w**2 - 22*w - 6. Let y(q) = -521*q**2 + 38*q + 13. Let i(l) = 11*x(l) + 6*y(l). Find the second derivative of i(j) wrt j.\nAnswer: -532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 1.7. Let v be ((-8)\/(-30))\/(14\/35). What is the nearest to -0.7 in 4, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z + 50. Which is the third smallest value? (a) 0.3 (b) z (c) 1\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 - 2*l**2 - 2305 + 5*l - 4*l + 2308 to the form x*l + b + i*l**3 + o*l**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -2, -12 in decreasing order.\nAnswer: -1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -2\/7*q**2 - 11\/21*q**3 - 2 - 1\/10*q**5 - 8\/21*q**4 - 2*q. Let v(f) be the first derivative of s(f). Factor v(y).\nAnswer: -2*(y + 1)**2*(7*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 15. Suppose 4*f + 0 = 5*v + 19, 0 = -2*f - 2*v + 14. Calculate the lowest common multiple of f and d(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5465*p + 5468*p - 12 = 0, 3*o = p + 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3621 + 2?\nAnswer: -3616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*y + 3*y + 1 - 2*y)*(0 + 2 + 0).\nAnswer: -38*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 1044\/(-172))*(-16)\/24.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = -12. Find v such that -2 - 3*v**y - 8*v - 7*v**2 + 6*v**2 + 14 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.000292 and 229835666.\nAnswer: 229835666.000292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 14. Suppose -2*n + 4*n**2 + 2*n**5 - 1 + f - 28*n**4 + 24*n**4 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4)*5 + 3)**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 5*g**2 - g + 4. Let t = -5 + 2. Let v be k(t). Let o be 8 - (-9 + 19 + 3). Put v, o, 2 in increasing order.\nAnswer: o, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 21 - 9 = 0. Let s be -5 - (-9 + 3 - f). Let h be (-2 - (s + -1))*7. Solve -5*k + 5 = x - h, 3*x = -4*k + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (159\/(-12) - -5)*(-3 - 1). Suppose 34*z - 128 = a*z. What is the highest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9443.\nAnswer: 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 360 = -0*b. What is the common denominator of 4 + 436\/b*1 and 5 + (-1)\/22 - 4?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h. Let j(n) = -693*n**2 - 20*n + 16. Let c(z) = -695*z**2 - 24*z + 19. Let o(d) = -5*c(d) + 6*j(d). What is y(o(a))?\nAnswer: 3415*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 4*y)*(4 - 3 - 2).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29199545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x + 181*x**2 - 2*x**4 + 467*x + 29*x**2 + 240 - 18*x**3.\nAnswer: -2*(x - 8)*(x + 1)**2*(x + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 23*h**2 + 2. Let w be k(-2). Let r(b) = -b**3 - 11*b**2 - 12*b - 3. Let p be r(-9). Let f = w + p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -13*m**2 + 7*m - 5. Let y(a) = -2*a**2 - 2. Let g(t) = -l(t) + 6*y(t). Let p be 2\/5 - (-198)\/30. Give g(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -j + 4618, 28*j - 26*j - h = 9243. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 2*k**5 + 0*k**5 - 4 + 4 + 2*k**5 + 0*k**5 - k**5 + 2*k**5 + (-k + 2*k**3 + k)*(5*k**2 - 3*k**2 + 0*k**2) + 41*k**5 + 36*k**5 + 156*k**5.\nAnswer: 238*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34342, 34345, 34348?\nAnswer: 34351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79, 83, 87?\n\"Answer: 4*d + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 61 = -5*s + 71, 3*s - 6 = -3*r. Suppose 0*j + 3 = j. Solve -h = -j - r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10.7351307 hours?\nAnswer: 0.0638995875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 3}. What is prob of sequence hha?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1448*b**2 - 42190*b + 42190*b + 2*b**4 + 6 to the form u*b**4 + c*b**3 + w*b + n + z*b**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3561114 by -1.\nAnswer: 3561114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1416416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161\/4 - 40. Let f = 0.2 - -0.1. What is the closest to a in 0.5, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410575 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.74*3376\nAnswer: -2498.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvgggv. What is prob of picking 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.2, -2\/45, 0.19, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -46.5. Let y = 0.164 + -0.064. Let h be (0 - -1)\/(2\/2). What is the closest to y in h, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/(-2 - (-3)\/2). Suppose -2*m = -w - 2, 3*m - 4*m + s = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39896*x**3 + x**2 - 120*x - 1 wrt x?\nAnswer: -239376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*2*sqrt(104))\/sqrt(8).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 1)*(-3 - 1 - 1) - 3 + 1 - 1)*(2*m**2 + 0*m**2 - m**2)*(0*m - 2*m - m).\nAnswer: 39*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 (base 14) in base 15?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 11*u - 3*u - 8*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4087 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1\/(q*(q\/q**(-2\/9))\/q*q)*(q*q\/(q\/(q*q*q**(1\/4))))\/q*((q**(-1\/3)*q)\/q)\/q*q assuming q is positive.\nAnswer: q**(25\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by (-12 + 5 - 2)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 89.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-11))\/(((-265)\/(-424))\/(15\/(-12))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 8 - 5*y - 1\/4*y**4 + 0*y**3 + 0*y**2. Differentiate v(l) with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 948*q**2*t**4 - 7974*q**2*t + 23*q**2 - 26*t**4 wrt t?\nAnswer: 11376*q**2*t**2 - 312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + d + 11 + 20, -12 = -3*d. Suppose -n*c = 5*c - 102252. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2. Suppose 0 = 5*z - 5*q + 5, -2*z - 1 - 11 = -4*q. Suppose s + z = 3*s. Let r(u) = 0*u + s*u**2 + 0*u. What is n(r(t))?\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-14)*t*t**(-11)\/t*t*t**16*t**(5\/3))**(-2\/83) assuming t is positive.\nAnswer: t**(-136\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 64. Suppose 2*q = 4*g + z, -5*q = g + 2*g - 134. Calculate the remainder when 199 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2962.1 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 - 11530010*y**3 - 2009*y**2 - 76594.\nAnswer: 120*y**2 - 69180060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 0*w)*(-1 + 3 - 4)*(1 + 1 + 24)*(-5 + 1 + 3 + (0 - 2 + 1)*(-5 + 3 + 3)).\nAnswer: -208*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.64, 14, -2\/13333 in descending order.\nAnswer: 14, 0.64, -2\/13333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 9*p**2 + 18*p - 14. Calculate w(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8306 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40664602 (base 7) in base 14?\nAnswer: 64b172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20787 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 62*b**2 + 41*b**2 + 16 - 99*b**2 + 77 to the form r + d*b**2 + q*b and give r.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -720 (base 15) to base 2.\nAnswer: -11001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 + 16*p - 3. Let u(s) = 5*s**2 + 16*s - 4. Suppose -3*y + 27 - 9 = 0. Let f(l) = y*i(l) - 5*u(l). Let n be f(11). Is n bigger than 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.786561ng in micrograms?\nAnswer: 0.002786561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*s = 13, 0*s = -5*h - 2*s + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + 1.6. Let b = 0 - q. Let d = 4 + b. Put 0.3, d, -1\/4 in descending order.\nAnswer: d, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5143 + -3?\nAnswer: -5146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -131 (b) 0 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 + 0)*(-4*p + p + 2*p) + p - 6*p + 3*p)*(0*p - 3*p + 4*p) - 5648*p**2 - 1034 + 1034 - 17579*p**2.\nAnswer: -23231*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 80. Determine k(-24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/2, 1529, -7, -0.3, 50?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4*9\/14)\/(75\/17850). Are -613 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/(-196))\/(36\/63))\/((-1)\/20)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/24*(-33)\/44*(-16)\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 0*v + 30 = 0. What is the third derivative of 5*o**5 + 669*o**2 + 11*o**v - 645*o**2 wrt o?\nAnswer: 960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 70 - 79 = d - 4*d, d - 4 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.87753 millennia in years?\nAnswer: 51877.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33699187 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 34. Suppose -2*t - 5*u - 10 = 0, 5*t - 6*t + 1 = 4*u. What is m(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -220?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m**3 + 6*m**2 + 4*m - 5. Let i(y) = y**3 - y**2 + 1. Give 6*i(b) + v(b).\nAnswer: -b**3 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34057*q**2 + 34061*q**2 - 17 + 19 - 20*q**3 + 2*q**4 to t*q**3 + p*q**2 + o*q + c*q**4 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 4, 1, 2, -2, -1, -4 in increasing order.\nAnswer: -58, -4, -2, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let c be p(6). Sort 3, c, -8.\nAnswer: -8, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 36260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = 4*g - 527, -138 = -g + 2*c. Suppose -4*u + 16 = -48. What is the greatest common divisor of g and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36, 373, 1294, 3093, 6064?\n\"Answer: 49*u**3 - 2*u**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 19 in decreasing order.\nAnswer: 19, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -353256 (base 7) to base 15\nAnswer: -13c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30681\/17045*3\/36*50?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 + 11*p + 3. What is n(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/3867724 and -2\/6768517.\nAnswer: 27074068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -92190 at least 2\/249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a - a)*(5 + 16*a**2 - 5) + (-2 - 82*a + 30*a + 24*a)*(-3*a - 4*a**2 + a**2 + 2*a**2).\nAnswer: -4*a**3 + 86*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -21\/13 (c) -1 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 - 10\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3948 and 36435?\nAnswer: 6849780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43002464 times 0.1?\nAnswer: -4300246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -694424928021.\nAnswer: -694424928023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m - 16. Let r(a) = 3*a + 6. Let d(b) = -11*r(b) - 4*w(b). Let l(q) = -q - 4. Determine 5*d(s) - 3*l(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 773680 and 30020?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 7) in base 3?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**2 - 44*z + 40 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 384. Suppose -4*c = -44 - h. What is the remainder when c is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2\/13, -2, 0.1, -8.74?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*g - 24, 6420 = t - 4*g. Suppose h - a - 3186 = 0, 2*h + 6*a - t = a. Round h to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*u - 60*u - 21 = 3*m, u - 2*m = 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 1996.\nAnswer: 41916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -139863 equal to -139862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/3 + 4*y**3 - 36*y + 54.\nAnswer: -2*(y - 3)**3*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*i + 3 = -3*l - 111*i, -i = l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.00513 in -3\/164, 1\/6, 4?\nAnswer: -3\/164","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 110\/(-40)*(-6 + 2). Suppose v = -19 - f. Let o be (v\/(-315))\/((-1)\/3). Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.095 + 3.905. Let q = 0.1 - 9.1. Sort n, q, -4.\nAnswer: q, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.22 + -10.22. Let a be 9\/(-2)*(-1)\/6. What is the nearest to -1 in a, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -562, -1239, -2192, -3421, -4926, -6707?\nAnswer: -8764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7346, 7388, 7494, 7694, 8018, 8496?\nAnswer: 9158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/6)\/(1\/(-3)). Let a = -0.3501 + 1689.3501. Let x = -1687 + a. What is the biggest value in w, 3, x, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4\/3, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - u = -6, -i + u - 2 + 4 = 0. Suppose i*l + 32 = 4*f, 2*f + l + l = 28. Calculate the remainder when 29 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*7 + ((-53564)\/(-3822))\/(10\/(-15))\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from kmdzmsdmm?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.331 - 8.669. Let c be (-35 + -2)*2 - 3. Let s = c + 541\/7. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*j + 3*z - 10, 2*j + 5 = z. Do j and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341145941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -y + d, y = -3*y - d + 22. Let c(l) = -3*l**2 - 9*l**2 - 8 + 13*l + 11*l**2. What is the units digit of c(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3348845195.\nAnswer: 5, 23, 29120393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -87*t - 33. List the prime factors of o(-5).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 5*r - 47, 861*d - r + 0*r = 867*d + 136 + 146 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, p: 6, c: 2}. What is prob of sequence pp?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.3, -5, 0, 0.04 in ascending order.\nAnswer: -5, -0.3, 0, 0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 3*f**3 + 0*f**3 + (-f + 4*f - 2*f)*(f - 2*f**2 - f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(1\/3))\/y)\/y*y\/(y\/((y**(-2)*y*y)\/y))*y)\/((y\/y**(-2\/27))\/y**(-2\/7)))**(-2\/17) assuming y is positive.\nAnswer: y**(766\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-17 - -88 - (-22 - -15 - (-10 + 3)))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -f + 5*f, -5*u = -2*f + 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/62 + (-25)\/93 + (-26)\/(-104)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-21.309\nAnswer: 8.5236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14991 and 513.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/4 + (-1)\/((-4)\/63). Suppose 206 = s + v. List the prime factors of s.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16849*y**2 - 22469*y**2 - 1535*y**2.\nAnswer: -40853*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-6)\/1026 - (-90)\/627?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u - 20. Let m(j) = -6*j + 10. Give -4*c(x) - 7*m(x).\nAnswer: -2*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 + 3)*(-3*y**2 + 7*y**2 - 3*y**2) + (0 + 6 - 3)*(y**2 + 0*y**2 + y**2).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*t = -17, 5*w = t - 0*t + 19. Let z(r) = -3*r - 1. Let b be z(-2). Suppose -b*p = -q + 9, w*q = -2*q - 4*p + 16. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 39131, 2\/45, 0.1 in ascending order.\nAnswer: -2, -1, 2\/45, 0.1, 39131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -308285 smaller than -41001846\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1521, -5, 0 in decreasing order.\nAnswer: 1521, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2436 = -5*r, -r + 5 = -0. Let g = m - 1697. Let u be 2 + g\/8 - 5\/20. Calculate the greatest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6145*u - 6148*u + 12. Calculate the greatest common factor of u and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*k + 44*k + 429*k + 3 + 367*k to the form n + u*k and give u.\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -193290600 rounded to the nearest 1000000?\nAnswer: -193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2228*g - 393365 + 393365)*(-g**2 + g**2 + 2*g**2) to c*g**2 + p + t*g + b*g**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593809 is divided by 1492.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.3 - 42.6. Let x be -3*(30\/(-9))\/(-5). Let s = 7 - 4. What is the nearest to 0.2 in s, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let f = 1.6 - 1. Let x = f - 0.5. What is the smallest value in -2\/9, x, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413187513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2163, -4418, -10999, -17580?\nAnswer: -24161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18806 + 8867 = 559*o - 57454 for o.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 3*d**2 + 4*d**2 + (10*d - 22*d - 11*d)*(-4*d + 2 + 2*d + d) to the form g + i*d + q*d**2 and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 69 - 23 = 0. Is -1*(-3 - -14)*w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9097861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -3.3 (c) -2\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h*(h**(-4)*h)\/h)\/(h\/h**(-4\/3)*h*h**6)*h**(-2)*h**(-1\/7)*h**(2\/11)*h**(3\/7) assuming h is positive.\nAnswer: h**(-2510\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 2, a: 4, s: 4, j: 2}. Give prob of picking 3 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9 - 2 + 2 - 3 - 2*f. Let n(o) = o. Determine c(n(k)).\nAnswer: -2*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 6. Let a be c(8). Let l = a - 1. Suppose -2*h = -v + 2*v + l, 0 = 3*h + 4*v + 14. Solve 11 = -h*z - g, g - 1 = 6*z - 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051\/5 greater than 411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 2:48 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-3 - (9 + -14). Solve 0 = u*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -2*z**3 + 878*z**2 - 1168*z + 304. Factor c(d).\nAnswer: -2*(d - 292)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 2. Let c be l(1). Suppose c*i = i - 36. Calculate the highest common divisor of 324 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461278 is divided by 92246.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 40*z**2 - 149*z - 124. Calculate h(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 12 = -11193*n + 11189*n, 0 = 4*k + 2*n - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2. Let k(v) be the third derivative of 5*v**4\/24 - v**3\/6 + 230*v**2. Give k(z(w)).\nAnswer: 20*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 99 + 32 = 3*m, 164 = 4*m + 4*f. What is the remainder when 1252 is divided by m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-16)\/v)\/(v\/(v*v**(-4))) assuming v is positive.\nAnswer: v**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 4*c. Calculate u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 35. Let i be a(28). Let z(l) = i*l - 49*l - 34*l**2. Let n(w) = 3*w**2. What is n(z(x))?\nAnswer: 3468*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-10)*8\/(-130)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 20*b = 2*g - 2073, -3107 = -3*g + b. Is 37 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z + 14*z**2 - 17*z.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1189820 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**6\/15 - 2*p**5\/25 + 3*p**4\/10 + 2*p**3\/15 - 2*p**2\/5 - 32. Suppose d(l) = 0. What is l?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 679 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.2 - -1.01568268.\nAnswer: 20.21568268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -99*d + 433 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + -0.2. Let d = -252 + -25. Let z = 276.9 + d. Which is the closest to 2? (a) r (b) z (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5147, -24486, -58015, -105728, -167619, -243682, -333911, -438300?\n\"Answer: h**3 - 7101*h**2 + 1957*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25021 + 25020.8. Are -0.0445 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*-2 + sqrt(45))*-4)**2 + sqrt(45) + ((sqrt(270)*-2)\/sqrt(6))**2.\nAnswer: 3*sqrt(5) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (375\/500)\/(-3*(-3)\/240)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 3*s**2 + 1. Let m be q(-2). Let p = m - -5. Solve -2 - p = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + (6\/39 - 6))\/(-1)*-2. Find f, given that 6\/13*f + 2\/13*f**5 + 0*f**4 + 4\/13*f**2 - 8\/13*f**3 - k = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13206 and 2232.\nAnswer: 158472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-10)\/12)*41\/(-123)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*k - 47, -3*k = 688 - 682 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuueuduudeeeuudddua. What is prob of picking 3 d and 1 u?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 2) + 3 + -1. Find the second derivative of 0*n**2 + n + 4*n**k - 6*n**2 + 5*n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 2:10 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 33*j + 0*j**2 + 1\/105*j**6 + 0 + 0*j**3 - 3\/7*j**4 - 1\/10*j**5. Factor q(w).\nAnswer: 2*w**2*(w - 9)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 2. Let r(n) = 6*n - 2. Let t(f) = 4*f - 1. Let x(h) = -5*r(h) + 7*t(h). Let p be 2\/(-5) + (-297)\/(-55). Determine p*v(l) + 3*x(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48288 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.523 - -1046.\nAnswer: 1016.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17812830 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.1. Let q = 0.068 + -293.068. Let l = q + 291. Which is the nearest to 2? (a) l (b) x (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:26 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 32. Calculate the common denominator of -79\/8 and (4\/(-4) + 2)\/v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283700.\nAnswer: 2, 5, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (220\/11)\/(10\/(-5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. Let a be (-3 + g\/2)*-3. Does 12 divide a + 20 + (0 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110242059 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9540*0.71\nAnswer: 6773.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a*a**(-15\/7)))\/a**(3\/4)*(a**(-12))**(-4\/5) assuming a is positive.\nAnswer: a**(1539\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -25 (c) -4 (d) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a + 48 = 53*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.781 - -695\nAnswer: 695.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2370 or -100915?\nAnswer: -100915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1670*q**2 + 44*q - 80*q + 35*q + 380*q**2 + 2918*q**2 to r*q**2 + l*q + h and give r.\nAnswer: 4968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4292*t - 3930*t = -6516 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a + 3. Let n be z(-6). Find the common denominator of 48\/7 and (-1245)\/n*(-3)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuqqnqznunq. What is prob of picking 1 n and 1 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -370 - -375. Suppose 0 = -4*l - 3*y + 387, k*l - 5*y - 510 = -35. What is the remainder when l is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-6) - 4\/((-36)\/(-45))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*x = 43055 - 48166 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2. Suppose -3 = -4*w + 5. Let p be (-2 - (-2 + -1))\/(1\/7). Let c(y) = 11*y**2 - p*y**2 - 21*y**w. What is b(c(r))?\nAnswer: -578*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 8*p = -9, -5*p + 94 + 100 = -5*b + 179 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -6880*a + 6882*a + 52, 3*a = 2*w - 43 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8218 - -8232) + (49 + -10 - (1 + -1 + -3)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49951969?\nAnswer: 19, 2629051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720\/30*3\/12*10*396\/495.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -3 - (93 + -75)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -175?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 388.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 4 (c) 69\/2 (d) -0.2 (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1841 - -1841.03. Are f and -0.177 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 22)*20\/(-50). Find the second derivative of 277*n**3 + 2*n - y*n - 264*n**3 wrt n.\nAnswer: 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -120*k**2 + 33*k + 49. Let d(f) = -119*f**2 + 38*f + 49. Let v(n) = 7*c(n) - 6*d(n). Find the second derivative of v(y) wrt y.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.421251ml in litres?\nAnswer: 0.006421251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62036765*c - 25525322?\nAnswer: -62036765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*u = -18, -2*k - 3*u = -16 - 3. Let z(x) = -3*x - 3. Calculate the lowest common multiple of z(-3) and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193519260 less than 161.6?\nAnswer: 193519421.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*d - 41, 4*d + 9*u - 37 = 8*u. Let q(m) = -17*m**2 - 3*m + 3. Let w(y) = -51*y**2 - 8*y + 8. Give d*q(a) - 3*w(a).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqyqvnyrxqqqqyqx. What is prob of sequence nqr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2301 and 417897?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5283923?\nAnswer: 17, 310819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (46\/3 + -2)\/((-20)\/(-840)) a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/248 and 113\/310.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:14 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6 - ((-13425)\/(-1375))\/((-22)\/(-30))) + 7 and 26\/2805?\nAnswer: 30855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2339.54 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfdfffddfnjnnjjfj. Give prob of picking 2 d.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871, -873, -875, -877, -879, -881?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1537 divided by 1537.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = t + 89, -2*t = -5*h + 87 + 25. Calculate the lowest common multiple of h and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405862870.\nAnswer: 2, 5, 7, 53, 109397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 305?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1879*j**2 - 35*j + 5525*j**3 + 3910*j**2 - 1962*j**2 wrt j.\nAnswer: 33150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*q = 29, -w + 0*w + q + 8 = 0. What is the third derivative of 4*n**4 - 9*n**2 + 3*n**2 - 3*n**2 + w*n**2 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(-45)\/((f*f**5)\/f*f**(-1\/3)\/f) assuming f is positive.\nAnswer: f**(193\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-18)\/27*(-1)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 + 7*o**2 + 0.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a1d8b (base 15) in base 14?\nAnswer: d4ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 192 = -14*g. Let q = -4 - -8. Calculate the greatest common divisor of g and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 740\/(-440) - ((-13)\/11 - -1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:16 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*(2\/(-18))\/((-26)\/(-39))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 69207.3ug?\nAnswer: 0.0692073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459193 is divided by 486394?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/13747 or 1?\nAnswer: -30\/13747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*a**3*f**3 + 3*a**3*f**2 - 11*a**3*f + 2*a**2*f**5 + 15*a*f**2 wrt f?\nAnswer: -114*a**3 + 120*a**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.056 + 1.206. Let z = -1.62 + o. Let q = -0.87 - z. Sort 2, q, -4, -5\/4.\nAnswer: -4, -5\/4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -0.02, 4 in ascending order.\nAnswer: -0.4, -0.02, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -65.8 (b) 4\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6092, 6091, 6090, 6089, 6088?\nAnswer: 6087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -112222 (base 6) in base 16?\nAnswer: -2576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30991, -123932, -278787, -495520, -774095, -1114476, -1516627, -1980512?\nAnswer: -2506095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (9 + -30 + 18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 135562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-9)*(-19332)\/1432?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 - -74. Suppose -k*l - 4*m + 7*m = 1806, 4*m - 1808 = 5*l. Find the common denominator of (-2)\/(-9) + 1595\/l + -1 and 49\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2090*l**4 + 1179 wrt l.\nAnswer: -8360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 237 and 19829.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -192, -136, -116, -144, -232, -392?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 + -30. Let p = -63 + k. Let o = 68.0368 - p. Round o to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 3*s + 23. Calculate n(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m + 19. Suppose l - 31 = 5*y - 35, 2*l + 4*y + 8 = 0. Calculate f(l).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6137\/8721)\/((-19)\/6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 7*y**2 - 4*y - 8. Let d be o(6). Let t be (-3)\/((-6)\/d) + 6. Solve 4*u - 28 = -t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1766.3 + 1766.4. Sort 11, w, 2\/71 in ascending order.\nAnswer: 2\/71, w, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120136 - 240753 + 786*j + 120615.\nAnswer: 786*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-2))\/(-7 - (-7347)\/1054). Let q(w) = 19*w**2 - 6*w + 6. Let p(z) = -265*z**2 + 85*z - 85. What is u*q(g) - 6*p(g)?\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2872?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 - 7 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-1 - -8) + (-21 - (-34 + 23))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 1. Suppose 3*n = 3*q + i, 9 = -5*q + 3*n - 0. Suppose -4*k - 15 = k. Which is the smallest value? (a) k (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1143 + -1033423010?\nAnswer: -1033421312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x + 37. Let k = -1092 - -1081. What is y(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 40 = -4*h, 4*h + 5*n = n + 28. Is 8 a factor of 3\/h + 130\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5301*c - 5326*c + 3675. Calculate the remainder when 1468 is divided by c.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1 - 2 + 6 + 4*s. Let z(v) be the first derivative of -3*v**2\/2 - 2*v - 206. Give 4*j(m) + 5*z(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/40)\/(21 + 256700\/(-12225)) + (-2)\/(-16).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/7 + 28717*v**2\/7 - 229672*v\/7.\nAnswer: -v*(v - 28709)*(v - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2, 120 in decreasing order.\nAnswer: 120, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21637 (base 8) to base 11.\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14737*v**2 - 20807 wrt v?\nAnswer: -29474*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7766525623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -48469.\nAnswer: -48466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22075 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -9) + -1*4. Find the third derivative of 6*j**2 + u*j**3 - 4*j**2 + 2*j**3 wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*w - 12*o + 9*o - 108, -5*w + 2*o + 104 - 14 = -13*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 10. Suppose -3*p + 38 = -4*t, -4*t = -4*p - t + 46. Suppose 169 = 5*y - 226. What is the remainder when y is divided by s(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6797538 - -0.03.\nAnswer: 6797538.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 4:02 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5513641 is divided by 6667?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -2221010002010?\nAnswer: 2221010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-62)\/(-56) - 1)\/((-210)\/(-735)) and (-2)\/4 - (-118)\/(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654260, 1308562, 1962864, 2617166, 3271468?\nAnswer: 3925770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37b51a (base 12) in base 9?\nAnswer: -1638174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1453 = 3*v, 38*v - d + 967 = 40*v. What is the smallest common multiple of v and 345?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 168*g - 177*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -20. Suppose -5*z + 3*i + i + 4 = 0, z - 24 = -5*i. Suppose -j + z*y = -7, q = -4*y - 2. Let d(a) = -a - 1. Give d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**4\/4 + f**3 + 3*f**2\/2 - 2*f - 289. What is i(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-7\/5)))\/(s\/(s\/(s\/((s\/(s*s**(1\/9)))\/s*s))*s)))\/(s**(-2\/59))**(14\/9) assuming s is positive.\nAnswer: s**(-3872\/2655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53325 less than 13?\nAnswer: -53312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 3377963\nAnswer: 1688981.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Let h(k) = 12*k - 3. Let d(b) = -6*h(b) + 34*i(b). Give d(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**8\/840 - p**7\/105 - p**6\/60 + p**5\/15 + p**4\/3 - 2*p**3\/3 - 1. Let h(x) be the third derivative of i(x). Factor h(d).\nAnswer: -2*(d - 1)*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 6*d + 3. Let g be m(-6). Find the second derivative of 2*l - 2*l**4 - 16*l**3 + 16*l**g - 4*l wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1\/((-1)\/(4 - (4 - -111)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9714654993 and 0.032318.\nAnswer: -9714654992.967682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0252718 rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, -179, -6.\nAnswer: -179, -6, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3849 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -50645?\nAnswer: 50647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 3*j. Let p(v) = -v**2 + v. Let f = 6 - 4. Let m(d) = -3*d**2 - 4*d. Let a be m(-3). Let b = -9 - a. Determine b*p(c) + f*s(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 296994 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5059 + 4016845\/794. Which is the third biggest value? (a) -2\/15 (b) 0 (c) t (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 31*w + 51 + 8*w**2 + w**3 - 13*w**2 + 5*w**2.\nAnswer: w**3 - 31*w + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003801914 to six dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1563, -3, 11, 6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*u**3 + u + 0*u**2 + 25*u**3 - 21*u**3 + 3 - u**2 + 2*u**2 to i*u**3 + s + h*u**2 + l*u and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.80561669 to 2 decimal places.\nAnswer: 18.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = -5*q, -q + 2*j + 0 = -8. Let w be (-21)\/(-9) + 4\/6. Suppose 3 = 3*o - w. What is the remainder when q is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/3 + -31\/12. Suppose 3*b + 14 = 5*y + 6, 3*y = 12. What is the closest to 2 in b, -0.3, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/(-35) - 2\/(-4) and 35\/14*174\/40.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38639588, -38639579, -38639580, -38639597, -38639636, -38639703, -38639804, -38639945?\n\"Answer: -l**3 + l**2 + 13*l - 38639601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 - 214. Let b = 12 - 21. What is the smallest common multiple of s\/(b\/(-8))*-3 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.069, -5, -2\/9, -8\/11?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/1389091 and -91\/1262810.\nAnswer: 13890910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, -1.58, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 215 = -20. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 39*h**2 - 19*h - 3. What is the least common multiple of 550 and l(-1)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 38) + (1 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f)**(5\/4)\/((f\/(f*f**(-3\/5)*f))\/f**(-2)) assuming f is positive.\nAnswer: f**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 415*b**2 + 774 wrt b.\nAnswer: 830*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 + 3*m**4 + 5*m**4 + 3*m**3 - 13*m**4 + 4*m**4 - m**2 - 29 to the form t*m**4 + f*m + y*m**3 + d + a*m**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/15784 and 93\/3748.\nAnswer: 14789608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*g**3 - 231*g**3 + 111*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46952*y - 93894*y + 46876*y.\nAnswer: -66*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*k + 175 = 0, 0 = 2*k - 6. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*t - 268*t - 3 + 347*t + 3.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*a - 5. Let k = -1 - -0.8. Let l = 0.7 + k. What is the nearest to -2 in l, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 802, 2682, 6344, 12382, 21390, 33962, 50692?\nAnswer: 72174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 48 + 48 = 0. Solve 9 + o = v + 4*t, t - 10 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let s = m - -1.1. Let u = 228938 + -228936. Which is the closest to 0? (a) 1 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgjojojzzor. What is prob of sequence zjj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.8 + 25. Let u = -2.5 + h. What is the second smallest value in -7, 4\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7920)*-4)\/sqrt(5))**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 23. Let b = g + -0.17. Let f = b - -0.17009. Round f to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j. Let i(q) = 18*q. Give i(g(x)).\nAnswer: -198*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.015, -18, -13, -14?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t**5 - 298*t**4 - 376*t**3 + 680*t**2 - 192*t = 0. Calculate t.\nAnswer: -8, -3, 0, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 18 - (18 - (27 + -13))) + -35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 169154350 to the nearest 100000.\nAnswer: 169200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/9 (c) -19.8 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-30)*(104\/(-52) + 13\/(-6))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 5*u - 33. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*3\/((-6)\/588*-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6493 - 3638. Is 35 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260 and (-10568)\/(-132) - 4\/66.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/120 + (-135)\/(-40). Let h(l) be the first derivative of -5*l**2 + 1. Let z(t) = -2*t. Calculate p*h(o) - 16*z(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((8 - -1) + (-12 - -2 - 27))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358, -433, -564, -757, -1018, -1353?\nAnswer: -1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*z - 52, 10 = 3*z + 5*y - 13. Let w be 42\/357 + ((-160)\/(-85) - -3). Solve 3*g = w*r + 2, -5*g + z + 17 = 4*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqooqvooojq. Give prob of sequence vo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 - (4 + -1 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1964*k**6 + k**4 - 1301*k**3 - 1831*k**2 - 1263?\nAnswer: 235680*k**3 + 24*k - 7806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - 4) + 55 + -63.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-10) - -6*3\/(-9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 35. Let k be q(-7). Let a be (-7)\/k + (-107)\/(-6). What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -237, -362, -493, -630, -773?\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -1, -53, -0.2, 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + c + (0*c + 0*c - 2*c)*(6 + 1 - 1))*(-3847*c**3 + 3943*c**3 - 3 + 3 + 42*c).\nAnswer: -1056*c**4 - 462*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -2825 + 38579. What are the prime factors of n?\nAnswer: 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 7:43 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2632247.\nAnswer: 2632247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -146*j**2 + 4043*j - 6425. Determine w(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11*9\/((-396)\/(-241324)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50799 is divided by 96.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-136)\/(-4))\/((-10)\/10)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*k + 147. What is the second derivative of k*u**4 + 8*u - 37*u - 3*u wrt u?\nAnswer: 768*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2 - 0. Let o = 266 + -263. Suppose b*w - l = 8 + 5, 0 = -2*w + o*l + 23. Calculate the remainder when 26 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49123 rounded to the nearest 1000?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14148)\/(-342))\/6 - 7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-1 + 4 + -3). Let b(x) = -2 - 1 + 2*x - x - x**i + x. Calculate b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*a = -10, -2*m + 4*a - 5*a = -14. Suppose m*j - 2932 = -1137. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.6, 131, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10450681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 25585062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0*c + 5*b + 31, 2*c + 4 = -2*b. Let l(w) = -5*w - 2*w**3 - 4 - 5*w**2 - w**c + 2*w**3. Give l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuusk. Give prob of sequence uks.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18396.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 10. Let z be (1\/(-2))\/(2\/(-4)). Suppose -r + z + 9 = 0. Let k(x) = -1. Let m(u) = u**3 - u**2 + u. Let d be m(1). What is d*j(c) + r*k(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 + 2*n + 7 - 4 - n**3 + 2*n**4 - 3*n in the form f*n**2 + b*n**3 + w*n**4 + j*n + i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64571*n - 3 + 6 - 3 - 64574*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172 - 206 - 90)*(2*z + z - 2*z).\nAnswer: -468*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -154*p**3 - 168*p**2 + 168*p - 84. Let m(d) = -2*d**2 + 2*d - 1. What is 84*m(l) - q(l)?\nAnswer: 154*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -6\/11, -3, -5, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -69 - 5, -2*p + 99 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j + 2. Let v = 1 + -1. Calculate the least common multiple of 7 and r(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -254 in 1, -0.03, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7790*0.5.\nAnswer: -3895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7111 + 7122. Is 13 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6762 divided by -437.\nAnswer: -294\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = v - 1, 15 = 3*s - v. Suppose -5*x = 4*a + s, -2*x + 6*a - 24 = 2*a. Is x at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 14 - 2*a - 6 - 3042*a**3 + 7226*a**3 - 7. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 14. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 1, n: 1, b: 1, x: 1}. Give prob of sequence bx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -342 - -1296. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 5*r - 43, 8*r - 406*b = -404*b + 24 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 + 42 = 3*h. Suppose 6*i = 3*i - 5*c + h, 5*i = c + 89. Is 2 + i + 3\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 476, 578, 740, 956, 1220, 1526, 1868, 2240?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -79940 (c) -0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by (192\/(-96))\/((-5)\/190)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/2921 + 294909\/81788. Let y = -285 - -298. Calculate the common denominator of g and (-16)\/72 + y*(-46)\/(-504).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - n - 2*n = -10, 4*i + n - 14 = 0. Sort i, 0.2, 3.\nAnswer: 0.2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -22*d**3 + d**2 + d. Let g be c(-1). Suppose -4*y = 8*t - 3*t + 19, -3*t + 15 = 0. Let j = y + g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6071219+-272.09319\nAnswer: -6071491.09319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 233*c - 3496. Let h be z(15). Let i(j) = -3*j - 3. Let r(a) = 1. Calculate h*i(l) - 3*r(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325 - -611?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 4*m - 3*m)*(-169*m - 5*m + 45*m)*(5 + 0 - 4) as b*m + q + w*m**2 and give w.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 59. What is the remainder when 62 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (29 - (-6 - -32)) + -71?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:18 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) + (sqrt(297) - -5*sqrt(297)*-1))\/(sqrt(110)\/(sqrt(30)\/sqrt(3) + sqrt(10) - sqrt(10)))*4.\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1426 divided by 23.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 11110101001001?\nAnswer: -11110101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -193.3 times 140\nAnswer: -27062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14285, 14207, 14101, 13967?\n\"Answer: -14*l**2 - 36*l + 14335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.273, -35, -5?\nAnswer: -0.273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r - 23 = -5*j, 5*r = 2*j + 7. Suppose 90 = j*z + 26. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -34?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 8, -3*j + 20 = 4*i. Suppose -i*w - 4*w = -8466. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20595670, 20595671, 20595672?\nAnswer: 20595673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 175*c - 1. Let i be o(-2). Let l(q) = 11*q**2 + 8*q - 1. Let w be l(7). Let s = w + i. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) -3 (c) -2\/5 (d) 6 (e) -32\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 9*n + 2. Suppose -5*r + 30 = -15. Let g be z(r). Solve -o - b + 3 = g*b, -2*b + 2 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000110918 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/15)*r)**(-2\/13)*r**2*r**(-10\/7) assuming r is positive.\nAnswer: r**(388\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 0. Suppose -2*t + m = -3. Calculate the least common multiple of 5 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 3*q**2 - 3*q + 2. Suppose 3*x - 6 = -0*x. Let p be k(x). Let i = 17 - -23. What is the greatest common factor of p and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3396, -6764, -10110, -13422, -16688, -19896, -23034?\nAnswer: -26090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 2)*612\/8. Let w be (-1 + (-1)\/5)\/(6\/(-180)). What is the greatest common factor of u and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6398 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(135)\/sqrt(3))\/sqrt(3) + sqrt(15))\/(sqrt(30)\/sqrt(90)).\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -s + 18, -2 = 3*s + 2*z - 0. Suppose -5*l + 6*a = s*a - 15, -a = -3*l + 9. Suppose -1 = -c + 1, -5*x - l*c = -21. Solve x = -v + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.32567724 to three decimal places.\nAnswer: -1.326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177711, -355422, -533133, -710844, -888555?\nAnswer: -1066266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1148 - -748. Let l = w - -447. What is the remainder when 373 is divided by l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*r - 4 + 19 = 10*c + 315, -3*r = 4*c + 120 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 4 + 4)*(-2*l + 2*l + l**3) + 3*l**4 - l + l in the form g*l**4 + i*l + s + k*l**3 + r*l**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -166b + 2?\nAnswer: -1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3 - 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 5474020?\nAnswer: 5474016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + -2)\/(20*(-16)\/(-160)). Let k(l) = 11*l**3 - 3*l**2 - 3. Let w(x) = 12*x**3 - 4*x**2 - 4. What is n*w(j) + 8*k(j)?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217621.782 milliseconds to weeks.\nAnswer: 0.000359824375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:04 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 7, a: 8, v: 2}. What is prob of sequence avv?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -8*r + 118, 13*h = 11*r + 17*h - 8*h - 173 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 390760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/(-2*sqrt(2)))**2 + 4 + ((sqrt(13) - sqrt(26)\/sqrt(2))**2 - sqrt(13)) + sqrt(13))*5.\nAnswer: 145\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/9 + 6\/27. Suppose 2*k - 2 - x = 0. Suppose -d + 5*j + 38 = 0, 0 = k*d - 0*d - 5*j - 66. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/3)*b)\/b)**7)**(10\/7)\/(b*b**(-2\/7)*b*b**(-2\/13)*(b*b*b**(2\/5))**(-4\/27)) assuming b is positive.\nAnswer: b**(8716\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/15))\/(s**(7\/2)*s) assuming s is positive.\nAnswer: s**(-101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 27288913.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 - n. Let o = -18 + 21. Let p(x) = x**2. Let c(l) = o*r(l) + 15*p(l). Find the second derivative of c(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 125\/3. Let m = -131 + 653\/5. Let r = -11.69 + 11.49. Which is the closest to g? (a) r (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 39010160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -77.1. Which is the fourth biggest value? (a) -2\/13 (b) 3 (c) -2\/5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -365, -374, -387, -404?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29916\/11 + -2723. Find the common denominator of 1554\/405 - 12\/3 and n.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/((3\/2)\/((-68)\/(-4760)*-35)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8077 + -0.3077. Let v = 0.4 - 0. Which is the closest to 2\/5? (a) 5 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 15418, -5, 4, -2, -269 in increasing order.\nAnswer: -269, -5, -3, -2, 4, 15418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 27 = 5*v - 5, 16 = -v + 5*h. Suppose 3*j = 5*y - 4, -4 = 2*y - 0*j - v*j. Suppose -84 = -y*w + 5*m, 2 = -4*m - 6. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/14694 and -1\/18?\nAnswer: 44082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 52821, -4, 10.\nAnswer: -4, 3, 10, 52821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 4*i - 46 = 0, 2*v - 4*i + 31 - 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**17*f**(-1))\/((f**17\/f)\/f**(9\/2)))**(-43) assuming f is positive.\nAnswer: f**(-387\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3943*q**2 + 6*q - 841. Let b(r) = 7887*r**2 + 15*r - 1687. Let i(g) = -2*b(g) + 5*w(g). What is the derivative of i(d) wrt d?\nAnswer: 7882*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 1. Let c(x) = 6*x**2 + x - 9. Let j(w) = -c(w) + 5*m(w). Let t be 0\/(-4)*(-1)\/(-2). Determine j(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/4 + -11 - (0 + -874). Suppose 5*v - 2*i = 3100, 4*v + 5*i + 461 = 2974. Let q = g - v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*c + 124*c - 71*c - 197*c - 15129 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, 1, -1177 in decreasing order.\nAnswer: 16, 1, -1, -1177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 312*u**2 - 5760*u - 12800.\nAnswer: -4*(u - 40)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdddyddrrdrrrrrryyyr. Give prob of picking 1 d and 1 r.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95744440 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -24*n**2 + 2*n - 1. Let z = -112 + 113. What is t(z)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 549, 0.3 in decreasing order.\nAnswer: 549, 5, 0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4 + 4*j**3 - 3*j**2 - 4*j + 4 = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 298, 300, 302?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640) + -1*sqrt(8640))\/sqrt(12) + sqrt(40)\/(sqrt(2)*5).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 a factor of 10281562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30429919, -60859836, -91289753, -121719670?\n\"Answer: -30429917*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 g when four letters picked without replacement from {b: 1, k: 5, s: 1, g: 9}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3) + sqrt(63))*-2 + 5.\nAnswer: -12*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140818 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 446342 and 12350?\nAnswer: 212012450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 2*p**2 + 5*p - 2. Let z be y(3). Suppose 0 = -z*u + 12 + 16. Let h = u - -3. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-35) - 107\/(-5). Solve 4*v + b = 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 59 + 11. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 915 or 3451?\nAnswer: 3451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x*x\/(x*x**0\/x))\/x)\/x*x)**(-2\/15)*x\/x**(-2\/11)*x**(-12)\/x*x)**40)**(7\/2) assuming x is positive.\nAnswer: x**(-51212\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 73054674*g + 444748782770523.\nAnswer: 3*(g - 12175779)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -23*v**6\/10 - 13*v**3\/6 - 3*v**2\/2 + 89*v. Find the second derivative of p(l) wrt l.\nAnswer: -828*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:04 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**8\/8 - 5*v**4\/12 - 9*v. Find the third derivative of y(k) wrt k.\nAnswer: 840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 440*a**4 - 3 + 2 - 2*a**3 + a - 444*a**4 + 13*a**2 + a as k*a**4 + b*a + p + r*a**3 + g*a**2 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28887, 28890, 28887, 28872, 28839, 28782, 28695, 28572?\n\"Answer: -i**3 + 3*i**2 + i + 28884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 0.195, 0, -1, -5?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-408)\/2652)\/(11\/(-13)) + 1*663\/(-198)?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z - 3 + 3 + (2*z + 0*z + 0*z)*(58 - 5 - 16) in the form s*z + x and give s.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 2*z**2 + 5*z - 3. Let t(h) = 2*h - 7. Let m be t(5). Let v be s(m). Suppose -5*b + 9 = v*n, -5*b + 9 + 6 = 5*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxxs when four letters picked without replacement from gxxsxxysxxsx.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h + 2 = 0. Let j be (42 - h)\/((-2)\/(-6)). What is j rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -96, -5, 0, -6, -3 in decreasing order.\nAnswer: 0, -2, -3, -5, -6, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 10*r + 24. What are the prime factors of (-2)\/((12\/(-528))\/((-39)\/r))?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*v**3 + 0 + 2 + 49*v**3 - 143*v**3 - 7*v**3 in the form f*v + w + i*v**2 + l*v**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence laa when three letters picked without replacement from {a: 1, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 344 - 80. Let h = c - 29. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9836*g**4 - 424650375*g + 424650375*g - 9821 wrt g.\nAnswer: 39344*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2435 and -0.624.\nAnswer: 1519.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434674 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-134)\/561 - (-6)\/51. Let g = -6\/11 + z. Let w = 0.04 - -1.96. Which is the closest to g? (a) -5\/2 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-5))*r*r**(1\/4))\/(r*r**(1\/2))**(-45) assuming r is positive.\nAnswer: r**(295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 - 5*q**4 - 2*q**3 + 16 + 13 - 3*q**2 - 13*q - 55 + 28 to t*q**2 + p + n*q**3 + i*q**4 + f*q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*j + 39. Let q = j - -161\/6. What is the common denominator of q and -45\/71?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321678 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(1 - 2) + -2 - -321. Suppose 0 = l - 2*v - 109, -2*v - f = -3*l - 0*v. Suppose l = 7*n - 77. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2759970 is divided by 4029.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1255 and 10834.8.\nAnswer: 13597674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.09? (a) -0.4 (b) 1 (c) -5 (d) 16.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -534 and 0.0338.\nAnswer: -533.9662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6\/7, -3, -27, 2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/19080*-53)\/(0 + 2\/(-35))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82493896 by -20623474.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i - 4. Let a be w(-3). Solve -6*j + 2*j = -a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5 - 144*f**4 + 1491*f**3 + 5526*f**2 + 3888*f = 0.\nAnswer: -2, -1, 0, 24, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194058305 - -85.\nAnswer: 194058390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.2 - 24.2. What is the smallest value in 0, 5\/2, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, z: 3, q: 2}. What is prob of picking 2 q and 2 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**7\/840 - i**5\/20 - 7*i**4\/12 - 5*i. Let v(n) be the third derivative of a(n). What is the derivative of v(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 - 1.68. What is the third biggest value in z, -1, 2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*2\/24)\/(((-390)\/(-101010))\/((-4)\/(-14)))?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398753.\nAnswer: 3, 73, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 - 5*n**2 + 2*n**2 + (2*n - 2*n + 3*n**2)*(3 - 7 + 3).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-35))\/(2 + (-7)\/3)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -11) + (-33 - (3 - 20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.13516132 to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9176283.\nAnswer: 3, 773, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -553405 divided by -12.\nAnswer: 553405\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/13 and (1*-4)\/((-63)\/18).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112578157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b + 5. Let c be 3*6\/27 + (-46)\/6. Let f(g) be the second derivative of 3*g**2 + 0 - 4*g - 4\/3*g**3. Determine c*s(h) + 6*f(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*i - 5. Let l be 0 + -1 + 3 + i. Let t = l + 0. Solve 2*a = -3*a + o - 5, -a - t = 4*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -439.2 + 439. Let s = -13.4 + 13.5. Let l = 97\/5 + -20. Which is the closest to s? (a) -1\/4 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**3\/3 + 1. Let l(a) = 8*a**2 - 6*a - 6. Let x(c) = c**2 - c - 1. Let v(r) = -l(r) + 6*x(r). Give v(i(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 9*u - 1. Determine l(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3387 + 3393. Solve 9*l - 12 = m*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (650\/(-104))\/(90\/(-12)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -39. Suppose 6*q - l*q - 6 = 0. Let s = 436 - 432. Sort s, 0, q in increasing order.\nAnswer: q, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16397, 15205, 14007, 12803, 11593, 10377, 9155?\n\"Answer: -3*b**2 - 1183*b + 17583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4, -a + 3*n = 3*a - 366. Suppose -a = -4*j + 67. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64201 + -2?\nAnswer: -64203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 5*h + 26. Let f = -612 + 656. Calculate the lowest common multiple of f and z(12).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*t - 31*t - 38*t = -3*q + 34*t + 12, -46*q + 51*q - 7*t - 14 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 109\/14) + (733 - 716) + 117\/(-7).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*y + 2. Let j be (-3 + y\/4)*-18. Calculate the highest common divisor of 45 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/5))**(2\/19)\/(t**11\/t*t*(((t*t\/(t*(t\/(t**7\/t)*t*t)\/t*t)*t)\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(-1241\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 36. Let j(u) = -u. Let m be j(0). Which is the third smallest value? (a) m (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * -137.2.\nAnswer: 6997.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2\/9 (b) 1 (c) 13 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - 0. Let h(t) = -2*t**3 - 15*t**2 + 2*t - 28. Let i be h(a). Calculate the greatest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y + 721 + 107 = -564 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(79 - 36 + 69)*(3 - 2*n - 3) as d*n + q and give d.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/3 + 515494*g\/3 - 22168091\/3 = 0. What is g?\nAnswer: -515537, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htqqstqqqshh. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -q + 74, -q + 99 = z - 2*z. Suppose j = 3*f + 76 + q, 0 = -2*j + 3*f + 355. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6875\/(-825)*12\/(-5). What is the closest to j in -5, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5165485780 to the nearest integer?\nAnswer: 71871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-15)*t*t*(t\/(t\/(t**14*t)))\/t*(t*t\/(t\/((t**(1\/3)\/t)\/t))*t*t)\/t*t**(5\/9))**36 assuming t is positive.\nAnswer: t**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/41 and -20\/3?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -97930786 and -0.07?\nAnswer: 97930785.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Calculate the remainder when 39541 is divided by 9853.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 35, -5, -8, 5 in increasing order.\nAnswer: -8, -5, 5, 35, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 92\/5*m**5 + 0*m + 91 + 0*m**2 + 0*m**4 - 21*m**3. What is the third derivative of z(j) wrt j?\nAnswer: 2208*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14813929?\nAnswer: 13, 163, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2 + v + 204. Is 10 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-4) - -2)*(47 + -4). Let z = -55 - m. What is the remainder when 49 is divided by ((-200)\/z)\/(2\/3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19138488*a**6 + 10248435*a**2?\nAnswer: -2296618560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1361795\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -24*w - 159. Calculate x(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f, -61 = -5*u + 4*f - 2*f. What is the remainder when 23 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132648, 530581, 1193792, 2122275, 3316024, 4775033, 6499296, 8488807?\nAnswer: 10743560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50 + (1 - -2)\/3. Suppose -r - 2*r = -b. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28 - 394) + (-12)\/(-1*3). Let k = 379 + n. Solve 2*s = -s + 6, 3*g = 4*s - k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/3, -0.5, -0.2, 2\/5, -10\/7, 4?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by 130?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1628, -12979, -43794, -103805, -202744?\nAnswer: -350343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 940 and 235940.\nAnswer: 235940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.41, 4, 18779.\nAnswer: -0.41, 4, 18779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -294 (b) -0.3 (c) 0.53 (d) -3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25031 or 25448?\nAnswer: 25031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-5\/9))\/(j*j\/(j*j\/j**(-1\/3))*j))**30)**(5\/11) assuming j is positive.\nAnswer: j**(400\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 109, 221, 333?\n\"Answer: 112*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 9*y - 6. Let u be t(8). Solve -u*d + d + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 467 divided by -862\nAnswer: -467\/862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (42 - (-1 - -3) - (2 - (-15 - -32)))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 3. Let u be -3 + (-3)\/(-1)*(4 - 1). Suppose -u = 4*q - 86. Calculate the lowest common multiple of q and l(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwffzzzzzzzrrg. Give prob of sequence gz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201899, -409772, -617645?\nAnswer: -825518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let r(k) = 2*k - 8*k + 7*k. Let h(y) = y**2 + 8*y + 2. Let o(n) = p*h(n) - 5*r(n). Factor o(x).\nAnswer: (x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. What is the third derivative of -4*w**2 - 2*w**k - 3*w**4 + 4*w**4 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -113 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -5c?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636 divided by 35.\nAnswer: -636\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/7)*f\/(f*f**(-44))*(f\/f**(-48))\/((f**(-8)\/f)\/f) assuming f is positive.\nAnswer: f**(717\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5430*c*h**2 - 38154*c*h + 24*h**2 - 3 wrt h?\nAnswer: -10860*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x - 626494 + 66140 = 22338. What are the prime factors of x?\nAnswer: 2, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(9\/(-6)) - -21. Suppose 0 = -4*n + 9 + 359. Suppose x + 2*y - n = 0, -58 - 34 = -x + 2*y. What is the greatest common factor of x and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 131 + 98 - 5*a + 6*a + 9*a. Determine y(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - 1.94. Let o = 2 - d. Let t = 6 + -9. What is the biggest value in 2, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, -16, -3, -4 in increasing order.\nAnswer: -16, -5, -4, -3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 633109855 to the power of 1\/4, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, w: 2}. What is prob of sequence ww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58\/77 + -13\/11. Which is the second smallest value? (a) 6 (b) h (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*m + 1257 = 0, 3*p + 529 = -5*m + 2377. Let w = 664 - p. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4530)\/(-20) - (-6)\/(-4). Suppose -t = -8*c + 15. Solve c = 6*k - 0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/((-21)\/2646). Let h(i) = 23*i + 4 - u*i + 15*i. Let p(y) = -1. Give -h(g) - 4*p(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121367052 is divided by 11152?\nAnswer: 11148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 25*t**2 - 172*t**2 - 3 - 11*t**4 + 75*t**2 + 73*t**2 - t**4 + 2*t in the form m*t**3 + p + d*t**4 + n*t**2 + y*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 12 + 27*x**2 - 44 - x + 7 + 6 to m*x**2 + g*x + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.52099 minus 361201?\nAnswer: -361198.47901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - (-5 + 0 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 94974.\nAnswer: 284922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 5*t + 183. Let u = -21 - t. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 - -22. Which is smaller: x or 122?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17))**40\/(l**(-7)*l**34\/l*l) assuming l is positive.\nAnswer: l**(-707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 10*g + 114. What is d(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**3 - 35*t**2 + 140*t - 100 = 0. Calculate t.\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.81 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + -2 - (-6377 - -19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c978 - -2?\nAnswer: -c976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-70))\/(1320\/3696)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1260) + sqrt(35) + sqrt(35))\/(sqrt(80)*1))**2 + -5*(3*(sqrt(175))**2 - (sqrt(7)*-2)**2*-1))*3.\nAnswer: -8274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 376*v**2 + 45*v + 20. Let j(o) = 188*o**2 + 20*o + 10. Give -9*j(w) + 4*t(w).\nAnswer: -188*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-630)\/3)\/(2\/(-3)). Let w be 4\/(-6) - (-300)\/i. Let g = -7\/22 + -2\/11. What is the third smallest value in 0.3, w, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + c - 41 = 0, 41*c - 73 - 68 = -2*w + 35*c + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**3\/h)\/h**2)\/(h**(-2\/3))**(-11))\/((h**0)**(-32\/5)\/(h*h**1*h)**(-10\/17)) assuming h is positive.\nAnswer: h**(-464\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 a when three letters picked without replacement from vvandppnpnvvovovv.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2748710*a**4 + 11*a**3 + 46*a - 120676?\nAnswer: 32984520*a**2 + 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14931 and 36759569.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 2*c - 1. Let v be x(1). Suppose -v*u + 1 = -2*u. Let y be 6\/(-27) + (-2)\/(-36). Which is greater: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivvvvi. What is prob of picking 3 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013 - 202003203?\nAnswer: -202012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t + 7*t)*(2*t**4 - t**4 - 2*t**4)*(156 - 11 + 53).\nAnswer: -396*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 9. Solve 2*q - f = -4*y, 37 = 3*y + 4*q + 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3340 divided by -10?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255 - 247. Let k(p) be the third derivative of -1\/6*p**3 + 1\/8*p**4 - 1\/10*p**7 - 3\/112*p**l + 0 - 5*p**2 + 1\/10*p**5 - 1\/12*p**6 + 0*p. Factor k(c).\nAnswer: -(c + 1)**3*(3*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 534 and 12111387?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 507 + 495 = 4*z, -2*t - 11 = -3*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -6*h + 0 + 1\/6*h**3 + 1\/2*h**2. Let a(q) be the third derivative of q**4\/2 + 5*q**3\/3 - 4*q**2. What is -a(y) + 10*d(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 24*c**2 - 77*c - 338. List the prime factors of m(43).\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/3))**(6\/37)*t**(-1\/3)\/(t\/(t\/(t\/(t**8*t))*t)))**16 assuming t is positive.\nAnswer: t**(15584\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w**5\/3 + 2072*w**4\/3 - 10993*w**3\/3 + 9986*w**2\/3 + 7184*w\/3 + 992\/3 = 0. What is w?\nAnswer: -1\/4, 2, 4, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:07 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2697 (base 13) in base 10?\nAnswer: 5532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 162, 1028, 3190, 7236, 13754, 23332?\n\"Answer: 98*q**3 + 60*q**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 134? (a) 24\/11 (b) -2\/11 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**2 + 32 + 2*y**3 - 3*y**3 + 2*y - 36. Let j be i(6). Suppose 4 = -4*r + 3*d, 2*r + 0*d - j = 4*d. Is r at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1 + 3*a + 4*a + 3*a. Let k be l(-1). What is the common denominator of 127\/6 and (6\/(-15))\/(4\/k)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3135825?\nAnswer: 3, 5, 7, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197\/339 + -1\/452. Let h(n) = -2574*n + 2. Let g be h(2). Let m = 92603\/18 + g. Calculate the common denominator of m and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 128*u + 1275. Calculate c(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 24 = -13*f + 2*d, -4*f + 46 = -3*d. What is the common denominator of (4\/f)\/((-248)\/775) and 3\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-12)*(-1008)\/(-192). Solve -14 = h*i - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -29. Suppose 997*r - 11 = 1008*r. Let f = r - h. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252366 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.234 + -2.531. Round f to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3485*m + 1947232 = -10804*m - 10490*m + 460492 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (292\/1022)\/((2\/(-8))\/(105\/(-12)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10966339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)*s**(-23))\/(s**(5\/2))**(-4\/7) assuming s is positive.\nAnswer: s**(-2279\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 187986004 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 410. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -4 (b) 0 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*h*n**4 - h*n**2 + 26*h + 34*n**3 + 68292 with respect to n.\nAnswer: -192*h*n**3 - 2*h*n + 102*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 15172 and 21.91.\nAnswer: 15193.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7250, -14488, -21724, -28958, -36190, -43420, -50648?\n\"Answer: w**2 - 7241*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10931 = d, 5*d - 2*o - 2*o - 54610 = 0. Calculate the remainder when d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)**(-7\/5)*(k*k\/(k\/((k*k**(-4)*k)\/k))*k)**(-3\/23))**(-3\/4) assuming k is positive.\nAnswer: k**(-9\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 8. Let y be l(-5). Let t(o) = o**3 + 7*o**2 - 7. Let c be t(-7). Suppose -k - 4 = -3*k. Sort k, c, y in decreasing order.\nAnswer: k, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d**2 + d - 7. What is the units digit of p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 3, 9, 17, 27, 39, 53?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 f when three letters picked without replacement from {i: 1, y: 4, f: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -18 (c) -2\/9 (d) 5 (e) -8\/3 (f) -4\/9 (g) -10\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 5, x: 4}. What is prob of picking 2 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lklklkzl. What is prob of picking 2 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 3 (b) -1\/30 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 865719 to the power of 1\/2, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7580694 by -229718.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257 - -258.13. Let k = -1.13000197 + v. Round k to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxi when four letters picked without replacement from ixxxixx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 + 3*w - 2. Let b = 1 - 4. Let s(a) = -20*a**2 - 8*a + 7. Let n(u) = b*s(u) - 8*f(u). What is the derivative of n(z) wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 909149175 to the nearest integer?\nAnswer: 30152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 269, 265, 261?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8)\/sqrt(4)) + sqrt(12))\/(2*sqrt(484)).\nAnswer: sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let v = m + -5. Let f be (-32)\/(-128) + 7\/(-12). Which is the closest to -1? (a) f (b) -0.08 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274305322?\nAnswer: 2, 5869, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-22) - 228\/(-44). Let h = 11 - s. Suppose -2*r - 32 = -h*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*t + 30, -t + 5*v - 31 = 2*t. Let l be t\/3 - 20\/(-12). Suppose o + 11 + 9 = 5*c, -20 = -5*c - o. What is the greatest common factor of c and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0 (c) -0.549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23134?\nAnswer: 2, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*n - 19 - 26 - 10*n + 49 + 2*n**2 in the form f + h*n**2 + g*n and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 450 - 4054\/9. What is the second biggest value in -8, 0.1, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5952\/(-256)*4\/6*-2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - (27\/(-6) - 2))*6 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12216 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473508.\nAnswer: 2, 3, 7, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 133ae - -11a?\nAnswer: 134c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -155. Let g = 116 + i. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**3\/3 - 76*p**2 - 3446*p\/3 - 780.\nAnswer: 2*(p - 26)*(p + 9)*(7*p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 27. Let z = -4.7 - b. What is the nearest to 0.9 in z, -0.3, -1, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63 - 14) + 33 + -84\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - -86b?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3*v + 15. Suppose -5*h + 2*f + 20 = -v*f, -5*f + 4 = 3*h. Suppose -3*x + 259 = 2*d - 0*x, h*x + 134 = d. Is d a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vagwakwakgkkyggwk. What is prob of sequence gvgw?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 + 296*m**4 + 431942*m**3 + 431044*m**2 - 863280*m = 0 for m.\nAnswer: -396, -2, 0, 1, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/32496 + -673889\/13095888. Find the common denominator of k and -77\/12.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 41*w**3 - 7*w**3 - 18*w**3.\nAnswer: -58*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488051.\nAnswer: 488051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 - 8631578*n**2 - 4978050 with respect to n.\nAnswer: 8*n**3 - 17263156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 26. Suppose -73 - 2 = 3*m. Let x be q(m). Let t(k) = -k**2 + 4*k - 1. Let r be t(x). Put 1, 26, r, -5 in descending order.\nAnswer: 26, r, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 58 = 86 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52636 + 44?\nAnswer: -52592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.48721 micrometers?\nAnswer: 0.00548721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-18))\/(9\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -1738057.\nAnswer: -6\/1738057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -24*l**2 - 270*l + 8. Calculate n(-12).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:27 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (176\/(-99)*-2)\/((6\/(-21))\/(225\/(-875)))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 2*u**2 - 3*u - 3. Let h be n(-2). Suppose 0 = 2*l - 5*d + 8, h*d + 3 = -3*l + 33. Solve 5*m + 2*p = 17, 2*m + 2 = -l*p + 3*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1 - (-6)\/4). Let w = -1 + 1.1. Let q = -5 + 5.4. Sort u, q, w in ascending order.\nAnswer: u, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31396, 31442, 31520, 31630, 31772, 31946?\n\"Answer: 16*k**2 - 2*k + 31382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 1 - u + 4*u.\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 215*l**2 - 647 wrt l?\nAnswer: 430*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 888589 and 4901.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 110 = s + 28, k + 307 = 4*s. Let a(l) = -17*l + 8. Let c be a(-6). Let x = c - s. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 831*p**2 + 61 + 2*p - 443*p**2 - 389*p**2 as y*p**2 + t*p**3 + n + x*p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 9729*h**3 + 2496594*h**2.\nAnswer: -3*h**2*(h - 3482)*(h + 239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -14 + 60 - 6*u + 3*u - 94. Let t(f) = -13*f. What is h(t(c))?\nAnswer: 39*c - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o*u**2 + 2*o*u*y - 11*o*u + 2*o - 178351*u**3*y - 8*u**3 + 1019*u*y - y + 2 wrt u?\nAnswer: 4*o - 1070106*u*y - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*x + 18*x - 58*x + 1 - 3*x**2 - 5 to j*x + s + i*x**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.9784. Let a = -110.8084 + 113.54. Let t = a - n. What is t rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.276 + -0.374. What is s rounded to 1 decimal place?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 31*t**2 - 180*t + 68. Determine i(36).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b8 (base 13) to base 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, -261, 213.\nAnswer: -261, -4, 3, 5, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 4*x + 2. Let n(p) = -p**3 - 3*p + 2. Let d(k) = 4*k + 26. Let q be d(-5). Let w = 3 - q. Give w*n(i) + 2*o(i).\nAnswer: -i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l + 16, 4*r + 4 = -3*l. Solve -3*b = h + b - 17, 2*b - 16 = -r*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(6\/13)*c**(-11) assuming c is positive.\nAnswer: c**(-137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3935 and 705.\nAnswer: 4640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13772 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*d - 816, -5*d + 36 = 4*h - 1611. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 2*z**2 + 4. Let y be v(0). Let j = -121409\/60 - -10162\/5. What is the common denominator of j and y\/(-6)*1\/(-4)*-137?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4 - 21 = 3*k, -2*k + 2 = 2*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*r + 26 - 86 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 + 3.1. Let z be 1\/2 - 10\/36. What is the nearest to t in 1\/4, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 617*a**2 + 607*a**2 + 3*a.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 258 + 252. Let v(t) = t**2 - 6*t + 368 - 367 - x*t. Give v(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 >= -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (95 - 95) + (-5 + -1 - -2) - 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2694*y + 26940. Let b be f(-10). Determine j, given that b - 2\/19*j**4 + 8\/19*j**2 + 2\/19*j**3 - 8\/19*j = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -14. Suppose -d + t = -4 - 38, -144 = -4*d - 2*t. Calculate the remainder when d is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/761 in -3, -2\/11, 2\/13, -4, 7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6383 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.56546 nanometers to millimeters.\nAnswer: 0.00001656546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, w: 1, i: 2, e: 4, q: 2, a: 2}. Give prob of sequence ddqw.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1328 and 56.\nAnswer: 9296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/76956 and -43\/8745.\nAnswer: 384780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let j(v) = -v**3 + 71*v**2 - 11*v + 781. Let w be j(71). Solve -o = 5*q - 20, w = -t*q + q - 5*o - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(-3))\/f)**(-9)*f**(10\/9)\/(f\/f**(2\/5)) assuming f is positive.\nAnswer: f**(833\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3409*c**5*t**3 - 2*c**3*t**3 + 2*c*t**3 - 255*c*t wrt c.\nAnswer: -68180*c**3*t**3 - 12*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-4)\/(-22) + 1806\/2310. Which is the smallest value? (a) 0.07 (b) i (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.640649429 and 0.5.\nAnswer: 2.140649429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 29*p + 10 = 0. Suppose 4*w - 114 - 96 = -5*o, -w - 5 = 0. Let u = o + p. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2 - 7484*m + 7480. Determine f(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2. Let l(y) = y - 1. Let b(t) = -2*g(t) - 2*l(t). What is b(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*a + 2 + 4, -2*a + 4*d + 12 = 0. Suppose -6*g = a*g. Solve -l - 4*n - 3 = g, -3*l - 23 = -8*l - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -27. Let z = -5 + j. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 8*t**2 - 25*t**2 + 12*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 517 = 4*b + 203, -b + 5 = 0. Let d = n - -190. What is the remainder when 355 is divided by d?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5853 = 2*y + 593. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462117973 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*m*r**3*y - 20717*m*r**2*y**2 + r**3*y**2 - 3*r**3*y + y + 1 wrt y.\nAnswer: -41434*m*r**2 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1227\/9 - 2) + 5\/(-15)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524561707.\nAnswer: 17, 113, 273067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.008.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {k: 4, f: 8, m: 8}.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 42 = -0. Let l = t + 25. Let f(s) be the third derivative of -s**4\/24 - s**3\/3 + 2*s**2. Determine f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -372, -371, -370, -369?\n\"Answer: i - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.8683 + -6.29499. What is y rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-170)\/40 + 5)\/3. Which is the closest to -1\/3? (a) 3\/13 (b) s (c) 12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxbbbbbbxxb. Give prob of picking 1 b and 3 x.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 60*w**2 - w + 25. Let u be (-70)\/(-12) - (38\/(-12) + 3). Is o(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -1052*u + 1090*u. Solve u*x = -5*y - 25, 2*y + 17 = -2*y - 3*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 312\/(-30) - ((-18)\/60)\/(2\/(-4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -203 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u**2 - u + 28. Calculate f(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 1001 = -3*h. Suppose h = 5*v + 62. Let g(m) = -1 - 2 + 3*m - 3*m**2 + m**3 + 0*m**3. Calculate g(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.012 + -5.012. Which is the closest to -0.06? (a) 4\/5 (b) i (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2271695 - -3379695. Round b to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6 and 61\/7758.\nAnswer: 7758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.06 and -1.\nAnswer: -11.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 82 = d, d = 2*p + 6550 - 6564 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31466, -62654, -93842?\n\"Answer: -31188*k - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p - 33*p - 5*p + 3*p.\nAnswer: -49*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in 2, 3\/5, -8\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1966 and -15379.\nAnswer: 30235114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 223867079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggffajfjqf. Give prob of picking 1 j and 1 g.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 433667712?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 1 + 0 + 2. Let q(o) = 1. Let y = 2 - 3. Let s(p) = p - 1. Let r be s(3). Calculate r*q(m) + y*l(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4794431 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 128260056, 256520115, 384780186, 513040275, 641300388, 769560531, 897820710, 1026080931?\n\"Answer: d**3 + 128260052*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = a - 4*a - 38, 5*q - 105 = -2*a. Let g = q - -16. Suppose -2*t = -3*m - 0*t + 27, -3*m + g = 2*t. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 4920?\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**3 + 84608843*w**2 + 31984008*w.\nAnswer: 12*w + 169217686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:13 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.12488 rounded to one decimal place?\nAnswer: -29.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**5 + 1\/6*p**6 - 25\/12*p**4 - 3 + 0*p**3 + 0*p**2 - 12*p. Factor g(t).\nAnswer: 5*t**2*(t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 2328487?\nAnswer: -2328486.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1621.00008 seconds to weeks.\nAnswer: 0.002680225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 30*p**3 + 3*p**2 + p - 4. What is the smallest common multiple of 55 and m(1)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*j - 288*j + 1189*j - 333*j - 292*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 12460522229826.\nAnswer: 12460522229826.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uum when three letters picked without replacement from {u: 3, m: 4, q: 2, x: 9}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 1, s: 1, h: 1, u: 2, z: 1}. What is prob of picking 1 h and 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/104 and 73\/2?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2764 = 4*a, -2*s + 2*a - 173 = -2017. Suppose -t + s = 6*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 37, 43, 51?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 4*d**2 + 7*d + 10. Let q(u) = -u**3 - u**2 + u. Let b(f) = -3*q(f) - t(f). Let w be b(-3). Is w less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 10:47 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 35, -1, 4 in descending order.\nAnswer: 35, 15, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 77*c**3 - 151*c**2 - 174*c. What is the derivative of x(y) wrt y?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by -6.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*l**5 + 8*c - 21227*l**6 - 312*l**2 wrt l?\nAnswer: -120*c*l**2 - 2547240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 143*y + 2. Suppose -4*x + x + 6 = 0. Let r be z(x). Let c = r - 193. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1301, 6, -10834, 3 in descending order.\nAnswer: 1301, 6, 3, -10834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12052 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*k - 6*k - 58*k.\nAnswer: -103*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 173548718 to the power of 1\/2, to the nearest integer?\nAnswer: 13174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-96) - 199\/(-8). Suppose t = -2*s + a, -4*s + 23 = t - 0*t. What is the remainder when 404 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 128. What is the second biggest value in 1, q, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 - 7*i - 5. Let q be p(-4). Suppose m - q - 1 = 0. Let w(d) = 2*d**2 - 3*d - 11. What is the remainder when w(8) is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 16, 342, -118.\nAnswer: -118, -6, 1, 16, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*b = -2*b - 791, 5*s - 3*b = 3883. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/139 and 41\/9?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19391784569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 928 divided by -1\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 12*p**3 - 10*p**2.\nAnswer: -2*p**2*(p + 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3))\/(m**(1\/24)\/m))**(23\/2) assuming m is positive.\nAnswer: m**(2737\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 21 = 3*j. Let f = 1 + -4. Put -1, f, j in decreasing order.\nAnswer: j, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-536)\/(-36) - -11. Let a be (2\/(-4))\/((-1)\/(-16)). What is the nearest to -0.1 in a, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + t = -4892, -26*l + 4*t = -22*l - 9792. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + n. Let g be p(1). Suppose 2*r = 2*b - b - 6, -4*r = 2*b + 12. Let l be (-1)\/r*(9 + -3). Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**3 + 2*u**2 - 21*u**3 - 2*u**2.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 - 119. Suppose -4*d + 2153 = -4*s - 611, 2770 = 4*d - s. Calculate the remainder when h is divided by d\/18 - 5\/2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -418 + 426. Let q be (6\/t)\/(34\/136). Sort q, -25, 0.2 in decreasing order.\nAnswer: q, 0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/4 + 11707*b\/4 - 8778 = 0?\nAnswer: 3, 11704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 192031.1l?\nAnswer: 192031100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 8 (b) -1\/4 (c) 1 (d) -7 (e) 5 (f) -54.725 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 112 and -398.5167010903?\nAnswer: 510.5167010903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0.5. Round u to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2272998 and 138138.\nAnswer: 25002978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3117, 3118, 3119, 3120, 3121?\n\"Answer: c + 3116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 14*s - 11*s + 160 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d - 5. Let f = 9 + -6. Suppose 0 = 5*l + 5*k, -6*k - 40 = -5*l - f*k. What is the highest common factor of l and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 0.22, -43, 0.2, 35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9432344 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3123 divided by -36?\nAnswer: -347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6422 (base 8) to base 2\nAnswer: 110100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35, -63, -91, -119?\n\"Answer: -28*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -2 (c) 6\/7 (d) 1\/6 (e) 3 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 2, o: 4, e: 4, i: 6}. Give prob of picking 1 z and 1 e.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 45688981240.873?\nAnswer: 45688981240.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, 0.156, 0.07, 2?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x + 4*j = -109, 2*x = j + 71. Let c = -18 + x. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 13*j**2 - 28*j + 21. Let y be c(-10). Let g(h) be the first derivative of 1\/2*h**2 + 0*h - y. Let l(k) = -2*k**2. Determine l(g(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79\/2 of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 8*i + 2\/3*i**3 - 1\/6*i**4 + 0*i**2 + 0 - 1\/10*i**5. Factor m(n).\nAnswer: -2*n*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -110 + 37. Let u = 73 + j. Let h = -0.3 - -1.1. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 85.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 1:32 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.4 - -35. Let n = q - 0.6. Which is smaller: n or -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (22\/6)\/11*-306*(-20)\/(-60)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 126194*l**2 - 17949794*l - 637575598.\nAnswer: 2*(l - 63239)*(l + 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30835 is divided by 7698?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-1 - (-10 + -2)\/1). Suppose -14*g + x*g + 23938 = -5*p, 23906 = 2*g + 3*p. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7473.8108 - -7474.12280137. Let m = c + -0.312. Round m to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 525, -15, -4 in decreasing order.\nAnswer: 525, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 181*d - 34*d - 22820. Solve -149 - d = 52*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -33?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 16. Suppose -12*u - 975 = -1023. Suppose 2352 = u*k + 38*k. What is the highest common divisor of k and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-7\/5))\/(i\/(i*i**7*i)))\/(i**(-4\/9)\/i**(-15\/7)) assuming i is positive.\nAnswer: i**(2741\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 13, 14?\n\"Answer: t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzze when four letters picked without replacement from ehhizhhiizzehhi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**3 + 2*b**2 - 2*b + 1. Determine r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 - 97. What is the lowest common multiple of 20 and 2\/2*9 + (n - 7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**11\/2772 + p**7\/126 + p**4\/3 + 16*p. Let u(x) be the third derivative of v(x). Find the third derivative of u(q) wrt q.\nAnswer: -2400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -10) + 37 - 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 243\/18*2\/264*11.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/13, 17\/171, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -37*n - 109. Let d be q(-4). Suppose d*i = -18157 + 50722. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 - j + 4. Let g(d) = 3*d**2 + 9*d. Calculate the smallest common multiple of b(-4) and g(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*f + 38, -3*f - 66 = -5*j + f. Is j at most 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 + 78 - 45)*(-2*p + 4 - 4 + (-2*p - 4 + 4)*(3 - 2 + 3)).\nAnswer: 1090*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 16. Let n = -0.5 - -0.5. Let v = -0.1 - n. What is the smallest value in v, r, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from -1.26.\nAnswer: -11.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 7. Give g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69445037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -13.9646.\nAnswer: -14.2646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. Is (q - -115) + (0 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -3026927199808?\nAnswer: 3026927199808.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*i**3 + 203*i**3 + 2*i**2 - 2*i**2 - 409*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401760 divided by 240.\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8 - 5)*(5*t - 3*t - t)*(14*t**4 - 5*t**4 + 6*t**4).\nAnswer: -120*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 12*v = 0. What is the third derivative of -176*t**2 + 167*t**2 - 5*t**6 + v*t**6 wrt t?\nAnswer: -600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {g: 5, u: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1557 + -370. Suppose 2*g - 3995 = -b. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -17, 0.3, 2\/15, 1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54906, 109820, 164738, 219660?\n\"Answer: 2*c**2 + 54908*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((1 - 5) + 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1))\/h*h**(-4\/9))\/((h\/((h\/h**2)\/h))\/h*h\/(h**(2\/15)*h))*(h**(-2\/7))**15*(h\/(((h*h**(1\/2))\/h)\/h)*h)\/(h\/(h\/h**4)) assuming h is positive.\nAnswer: h**(-5731\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*q = 2*b - 1, -q + 4 = 5*b. Let n be 0*((-15)\/6)\/(-5). Let j(f) = -f + 3. Let o be j(n). Is o greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/384198 and -40\/192099.\nAnswer: 384198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 7*u - 14. Give b(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(((sqrt(2)*-3 + sqrt(2))*4 + sqrt(2) + sqrt(2) - sqrt(2)) + sqrt(2)))\/(-5*(3*sqrt(800) - sqrt(800))))**2*6.\nAnswer: 1\/20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-72 + -1) - (10 + -17 + -1 - -9)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14755 and 585.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 17, -0.5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -22277?\nAnswer: 22264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 306106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**4 - 2*j**4 - 2*j**4)*(15 + 5 + 4) as i*j + m*j**2 + d*j**3 + p*j**4 + g and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, -630680, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -13 - -5 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -23142271.98 to the nearest ten thousand.\nAnswer: -23140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from miimqmm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 + -0.79850175403?\nAnswer: -0.60850175403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/50 and (-6 - (-206)\/20)\/((-8)\/(-4)).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-56)\/(-6))\/((-2)\/6). Let h = 40 + y. Let r(i) = -i**3 + 13*i**2 - 18*i + 5. Let o be r(h). Round o to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(-4048*k + 6836*k - 4463*k) to the form o*k + j and give o.\nAnswer: 3350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-9)*10\/110*(-1)\/(-1)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1241 + -0.4169. What is p rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*k**2 + 2051528*k + 746016.\nAnswer: -4*(k - 46626)*(11*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y**2 + y. Let n = -9 + 13. Suppose -n*p = 1 + 3. What is the units digit of j(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 40*j**2 + 46*j - 2071. Is h(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 23) + (-1 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:07 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188*d**3*k**2 - 1253*d**3 - 29*d**2*k**2 - d**2*k - 20*d*k**2 - 3*d - 7 wrt d?\nAnswer: -1128*k**2 - 7518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -19*v**2 + 8*v - 13. Let i = 42 - 18. Let a = i - 21. Let s(o) = 6*o**2 - 3*o + 4. Let d(m) = a*u(m) + 8*s(m). Differentiate d(f) with respect to f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*a. Let i(m) = 7*m - 32. Let p be i(5). Suppose a = p*w + w - 152. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6685 is divided by 513?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f + 6. Let d(z) = 2*z**2 + 5 + 115*z - 112*z + z**3 + 2*z**2. Let j be d(-3). Suppose -2 = j*l + 23. What is y(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.075 * -5.\nAnswer: -0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 95*z + 28 = -91*z, 4 = 4*m + 4*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f - f + 0*f + 31*f + 12*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 8:51 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(4 - 9\/9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6608, -6343, -5924, -5357, -4648, -3803?\n\"Answer: -p**3 + 83*p**2 + 23*p - 6713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 13*o + 124 = x, -2*x + 8 = 0. Let g = 19 + 41. Calculate the highest common divisor of o and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekeekeeeeeeeeekeeeee. What is prob of picking 3 e and 1 k?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/60 and -43\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 + (-2630)\/40)\/((-4)\/240) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.037 - -1.037. Which is the closest to l? (a) -3\/8 (b) 0.4 (c) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.63208 litres in millilitres?\nAnswer: 41632.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 8*f + 432. Let s be n(0). Let l be 2\/9 + 1632\/s. Suppose -2*t + 4*t - 14 = 0. Solve 0 = v + c + 5, l*v - 2*c + 1 = -t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930930871?\nAnswer: 13, 41, 1746587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25378920.1018867 + 25379966.102. Let m = -1046 + v. Round m to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/1*6*-1. Let h be (i\/8)\/((-9)\/(-12)). Is (-1)\/h + 595\/14 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -6*u + 687. Calculate the highest common factor of 42 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 60 = -i. Suppose -2*y + 2*b + 44 = 0, -4*y = b - 102 + 44. Let k = y + i. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 7 = -3*w, -5*w - 3 + 6 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 8) to base 3.\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 - 2*k**3 - 59*k**2\/4 + 231*k\/2 - 180.\nAnswer: (k - 10)*(k - 3)**2*(k + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -632974, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 5*c + 10. What is t(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-3 - (-29 - -16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289948017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/212, -4 in decreasing order.\nAnswer: 5, -1\/212, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163054183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 231, 215, 175, 99, -25, -209, -465, -805?\n\"Answer: -2*g**3 - 2*g + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 8. Let w be c(7). Suppose -2*r + 4760000 = -w*r. What is r rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 1\/2*w**4 - 6*w + 29\/2*w**2 - 13\/6*w**3 + 0. What is the remainder when s(6) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by -2.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10144*v - 220550 - 733304 - 50402 for v.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 408\/(-102)*((-50)\/(-8) + -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t - 3*t. Let v(z) = -7*z - 4. Let a be v(t). Calculate the highest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205454.28us in minutes?\nAnswer: 0.003424238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 1863672704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*o - 22*o + 149*o**2 + 45*o in the form r*o + t + j*o**2 and give j.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -8. Let k be (3\/(-6))\/(2\/v). Let u(c) = -3*c**3 + 2*c**2 - 1. Calculate u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 + 19*q - 9. Give p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.4. What is the third smallest value in -1, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, x: 4, u: 2, b: 2, s: 1}. What is prob of sequence jj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*108\/(-24). Suppose -t - t = -s - 9, 5*s = -j*t - 19. What is the third derivative of -3*c**t - 3*c**3 + 2*c**2 + 3*c**3 - 4*c**4 wrt c?\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 35, 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Suppose -3*g = g - 12. Suppose -5*i + a = -9, -3*a - 113 + 108 = -4*i. Solve g = -i*d + u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 8 = -4*d - 2*r, 15 = 3*r. Suppose 3*q - 8 = 2*t, -q + 2*t + 2 = -2. Suppose -29*z + 27*z = 0. Sort -4, q, z, d in decreasing order.\nAnswer: d, q, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4820*d**2 - 254*d**2 + 3*d - 3*d as z*d + i*d**2 + u and give i.\nAnswer: -5074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1236 - -1272. What is the greatest common divisor of z and 810?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*j**2 - 449*j**2 - 123208*j + 2686*j**2 + 123208*j.\nAnswer: 2808*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 2*d - 2*d**4 + 43 - d**2 - 20 - 24 as m*d**2 + s*d**4 + u + g*d + r*d**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1810 + 1809.8. Let o = 62 + -53.8. Let w = 8 - o. Which is the closest to w? (a) -2 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -56) + (1 - 4) + -1 - (20 + 12).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.51 + -0.61. Which is the fourth biggest value? (a) -1\/3 (b) -2 (c) s (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17222900 rounded to the nearest one hundred thousand?\nAnswer: 17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000 (base 2) to base 3.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 196*g + 8. Let o be q(5). Let f = -689 + o. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 207 + -1023. Let z = c - -426. Let j = -393.62 - z. Round j to 1 decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/11, -22\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, u: 2, f: 1, w: 1, h: 1}. Give prob of sequence uy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37131950293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 203*r**2 - 903*r + 687. Calculate k(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8625311 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Let b(d) be the first derivative of -l*d**2 + 0*d + 2 - 5\/3*d**3 - 1\/4*d**4. What is b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/((-33)\/(-11)*1\/6663).\nAnswer: 5, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/9)\/(b\/(b\/(b\/(b\/(b**(3\/7)*b))))))**(27\/2)\/(((b*b**(-1\/2))\/b*b)**(-6\/5)\/(b**(-1)*b)**25) assuming b is positive.\nAnswer: b**(-1413\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -1712.9\nAnswer: 11990.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - p - 867 = -0*w, 0 = 4*w - 4*p - 700. Suppose -w = 2*s + 283. Is 1\/((-3)\/s*4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m - m + 2*m. Let k be ((-4)\/(-10))\/(48\/(-480)). Let q(x) = -2*x. Determine k*q(d) - 5*h(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/28 - 3\/12. Let i = 106 + -58. Let z = -48.2 + i. Which is the nearest to j? (a) -0.1 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 57?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.003 + -0.015. Let n = 0.412 + r. Which is the closest to 1\/3? (a) n (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wws when three letters picked without replacement from yywywyyyswwywwywsw?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let b = -56 - -174. Let n(h) = 80*h + 75*h - b*h. Determine n(o(x)).\nAnswer: 37*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 - -110. Let r = h - -65. Let q = -4 - -7. Put r, q, 0.2 in descending order.\nAnswer: q, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/24 + (-11)\/66. Suppose -2 = q - 1. What is the second biggest value in q, 1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8*q = -5*q - 6, -4*q + 12 = 4*m. Suppose -3*h + 43 = 4*l, 0 = l - 0*h - m*h - 7. Calculate the remainder when 99 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/558721353 and -17?\nAnswer: 558721353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11 - 14)*(f + 4 - 4).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 101.5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/222 and 23\/9.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 + 44*i**2 + 3*i**3 - 25*i - 6*i**2 - i**3 - 4 - 59. What is q(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*sqrt(500)*-5*5.\nAnswer: -750*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.0063 + 0.0063. Let x = 1 - 1. Put x, 1\/3, p in decreasing order.\nAnswer: 1\/3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/235482 and 161\/8034.\nAnswer: 24254646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 - 10*q + 11. Let n be y(9). Suppose n*f = 3 - 9, -903 = -3*b + f. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/11472 and 97\/108.\nAnswer: 103248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*x = -0*x - 93, -206 = -2*a - 2*x. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(4*m - 5*m + 3*m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 3*b)*(-5*b + b + 16*b)*(-2*b - b + 2*b).\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = -5*a, 3*a + z = 21 - 6. Let p(l) be the third derivative of -1\/12*l**4 + 0 + 0*l - 1\/60*l**5 + 15*l**2 - 2\/3*l**a. Calculate p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6310 by -8191.\nAnswer: -6310\/8191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33298 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186180 divided by -3103.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 times 0.1?\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21\/8, -0.1, -2434?\nAnswer: -2434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7527*j = 7237*j - 40600 for j.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/22 + (-48)\/(-22). Differentiate 2 + 3*y + 3 - z with respect to y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w - 3849 = -281*w + 6546 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189 - 514. Let h = 188 + t. Let o = h - -205. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/353717 and 37\/653016.\nAnswer: 8489208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4 + 4 - 20 - d - 7 + 96*d**2 wrt d?\nAnswer: 192*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 - 146. Solve -n*k - 22 = -1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h - 1. Let j be s(1). Let p = 36 - 28. Calculate the greatest common factor of p and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by ((-46)\/(-6 + 4))\/(4\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.6740486us to minutes.\nAnswer: 0.00000002790081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*p, 5*a - p - 1 = 43. Suppose -353 = -a*l + 7. Calculate the lowest common multiple of 30 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1052*g**2 - 4206*g + 17. Give b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*g + g - 1, -5*w = 5*g. Let x(v) = -5*v - 201. Let l be x(-22). What is the smallest common multiple of 10 and l\/(-14) + w\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 8*b**2 - 5*b + 6. What is k(8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 2*s**3 - 5*s - 3 - 2*s**3 + 16*s**3 + s**3 as h*s**2 + j + t*s + u*s**3 and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*sqrt(700)*-1 + sqrt(700) + 2 + (sqrt(700)*2 + 4 - -5*(sqrt(700)*2 - sqrt(700))))**2.\nAnswer: 280*sqrt(7) + 137201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4911.426ml?\nAnswer: 4.911426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6449505, -12898989, -19348475, -25797963, -32247453, -38696945, -45146439?\n\"Answer: -h**2 - 6449481*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2393220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.73 - -3.73. Which is the second biggest value? (a) z (b) -1\/15 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from cqqbqcqncc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b + 2. Suppose -12 + 51 = 4*l - 3*r, 0 = 5*r + 25. Calculate d(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -6 + 2 + -3. Find the common denominator of 127\/6 and (-331)\/80 - 2\/p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 36, 6, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*m - 3*r, 4*m = -4*r + 6*r + 28. Calculate the remainder when 0 + 0 - (-21 - -2) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-49\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c - 51. Suppose 5*r = i + 32, -26 = -r - 4*i - 7. What is the units digit of b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, and 1 i when three letters picked without replacement from {e: 1, q: 1, v: 2, m: 2, i: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 905833 = 905837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 49. Suppose 3*q + 212 - 1268 = z. Suppose -3*u + 1531 = q. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a3 - 78?\nAnswer: -73b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -4 (b) -2.622 (c) -1\/4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express -4*b + 11*b + 6*b**2 - 5*b + 2 as v*b**2 + q + w*b and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-4 + 8) - (-25 - -29).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175\/3 - 57. Let t = -8335 + 8335. Factor -1\/3*f**5 - 1\/3*f - 2*f**3 - 4\/3*f**2 + t - n*f**4.\nAnswer: -f*(f + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -187 and 0.262.\nAnswer: -186.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -12*(-7413)\/2268 + 2\/(-9) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -16.393, -2\/17, 114?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**7\/360 + 13*m**4\/24 + 14*m**2. Let v(t) be the second derivative of d(t). Let z(b) = b. Determine z(v(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)*(1240\/16 + -9). Suppose 507 = 4*a + 3*i - w, -i + 4 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874.252 rounded to the nearest integer?\nAnswer: -1874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.02218635?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/2)\/((-4)\/44). Let t = 23 + i. Solve 5*d + 3*h - h - 25 = 0, -t = 3*d - 2*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:08 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200824157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*j + 5*j. Let d be 2 - (-6 - (j + -4)). Solve -2*f + 0 - d = -m, m - 1 = f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 792 - 789. Put -1\/5, c, 5, 0.13 in increasing order.\nAnswer: -1\/5, 0.13, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5*d = 3*d - 104, 5*g - 4*d - 95 = 3 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 14*u + 5. What is the tens digit of n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362085 and 82455?\nAnswer: 3585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 10, -6 = 6*o - 5*o + 4*q. Suppose -2*m = 6*c - 5*c + 4, -m = o*c + 5. Put c, -17, 2 in decreasing order.\nAnswer: 2, c, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 280346 - 2523112\/9. Solve -a*m**4 - 4 - 2*m**3 - 58\/9*m**2 - 26\/3*m = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-nine quarters of a kilogram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138415 - -300915. Round n to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**5\/20 - 5*g**4\/3 + g**3\/3 + 10*g**2 - 8034*g. Determine x(-20).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5449482 by -605498.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 + 186. What is the highest common divisor of 36 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 32, -739 in descending order.\nAnswer: 32, 4, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 + 0)*(-2*a - a - a - 1 - 2*a) as q*a + z and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 4*h**2 - 55*h - 122. Let x be z(-5). Solve x = 8*v + 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 - -0.39. Let t = k + -0.08. Let i = 14\/5 - 3. Which is the third smallest value? (a) i (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7674.698 grams to nanograms.\nAnswer: 7674698000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 863\/22 + -99\/2. Suppose -2*s - 45 = -5*j + 10*j, -2*s - j = 25. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from uguoouooou.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-60))\/(75\/(-225))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v - 65*v + 6 = -j, 4*j - 5*v + 17 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -774 + 781. Suppose 2*k + 4*i + 12 = 0, -2*i + 9 = -k + 11. Which is the nearest to s? (a) -1\/4 (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x**3 + 94*x**2 - 12*x + 90. What is r(9)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -10\/9, -383?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4950\/35075 - (-16)\/(-92).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -14 - 15) + (0 + 2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 25 = -3*y. Suppose 5*z - 132 = -y. What is the greatest common factor of 184 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 2*i**2 + 2*i. Let q be r(2). Let x be 3\/(-15)*-4*5. Solve -q*s = 2*l - 14, 0*s = x*s - 5*l + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705334?\nAnswer: 2, 7, 83, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3 + 87. Let x = -54 - -101. Calculate the remainder when x is divided by 8\/((-5)\/v*-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4799 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167 - -259. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.52 - -21. Let w = h + 4.9. What is w rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2004835 and 870905.\nAnswer: 5845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5197.\nAnswer: 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, 236, 237, 238?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 times -0.1?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 25*c + 4 - 3 as f + m*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -25*f**3 + 7*f**2 - 4*f - 149. Let s(q) = 8*q**3 - 2*q**2 + q + 50. Determine 2*o(x) + 7*s(x).\nAnswer: 6*x**3 - x + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*z**6 + 2702*z**5 + 805*z**2 - 20*z wrt z.\nAnswer: -720*z**3 + 162120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*j - 5*j, 0 = 2*j - 2*x + 2. Let y = j - -7. Suppose 2*c - 31 = -3*b, y*b = -5*c + 46 + 4. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x**3 - 8*x**2 + 4*x - 38. Determine v(3).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 34483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6210664 = 6210652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224)*-2*-5 - sqrt(224))\/sqrt(8))\/(-5*(sqrt(400) - (sqrt(400) - (sqrt(400) + 4*sqrt(400))))))**2.\nAnswer: 567\/62500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (42\/(-28))\/((-42)\/(-206)) and -109\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 - -10.912060603.\nAnswer: 109.912060603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/228783371 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4913, 19672, 44269, 78704, 122977, 177088, 241037?\nAnswer: 314824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*y**4 - 3848*y**3 - 8*y + 3888*y**3 - 4*y + 46*y**2.\nAnswer: -2*y*(y - 3)*(y + 1)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -76. What is the nearest to 1 in 4, i, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*j - 1 - 7*j**2.\nAnswer: -7*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -29*c + 21*c. Factor 78*z + 12*z**2 - 19*z**c - 57 - 20*z + 41.\nAnswer: -(z - 8)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*2*-6 - sqrt(130)) + sqrt(130) - sqrt(130))\/(sqrt(1000) + sqrt(1000)*-2)*5.\nAnswer: 13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9603 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: Product of 13 and 24101.903.\nAnswer: 313324.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 l when four letters picked without replacement from clcllglgllcglccggl?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12258329063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3356 - -7404. Suppose 8*x + 3*x - k = 0. Calculate the highest common divisor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 36. Suppose 13 = -4*j - 2*o - 11, 3*o + y = -2*j. Let q be (5 - 6)\/(-1*2\/j). Sort q, -7, -1 in ascending order.\nAnswer: -7, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2. Suppose 8 = v + 3*v. Let d be v - (4\/1 - 2). Let w(o) = -4*o**2 + d*o**2 + 2*o**2. Calculate w(u(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 0.3, 2, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -849*j. Let d(u) = u**2 - 72. Determine c(d(f)).\nAnswer: -849*f**2 + 61128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j + 245 = 277 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28580 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = -2. Suppose 8*k - c*k = 84. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -32\/15, 0.4 in increasing order.\nAnswer: -32\/15, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 812770600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 634*p - 33. Let v(o) = 2*o**2. Give v(j(g)).\nAnswer: 803912*g**2 - 83688*g + 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/3 - 1502*g\/3 - 564001\/3 = 0.\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30123 - 10105211?\nAnswer: -10135334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 80. Let s be j\/(-7) + (-24480)\/(-84). Let z = 495 - s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01000167893 to 5 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*v**3 + 8*v**2 - 8*v**2 - 1142*v**3.\nAnswer: -752*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 430 - 3774. Sort j, -3, 4.\nAnswer: j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001110101010011101000 (base 2) to base 14.\nAnswer: 4b1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {n: 3, o: 6, z: 2, t: 1, g: 1, q: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6190 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)\/(x*x**3))\/((x*(x\/(x**(2\/3)*x)*x)\/x)\/x)**(-4\/7) assuming x is positive.\nAnswer: x**(-191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 38822836.83 and 0.\nAnswer: 38822836.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (726\/5)\/((-72)\/(-180)). What is the greatest common factor of 99 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425977113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 300181618 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1440\/70)\/(-3) - -6)*(-20)\/75*5?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 11. Determine g(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*t - 33, 548*t + 55 = 5*a + 551*t. What is the smallest common multiple of a and 8\/44 + 1472\/11?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529487354 to the power of 1\/2, to the nearest integer?\nAnswer: 39109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/13, 2\/3, -9\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/15 - 0) + 29\/5. What is the highest common factor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.015 - 5.985. Which is the third smallest value? (a) v (b) -4 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1073, -900, -727, -554, -381, -208?\n\"Answer: 173*g - 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -3. Suppose -i + u = -1. Let s be (-2 - -4) + i\/2. Solve 3*b = -b + 5*c + s, 2*c = -2*b + 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 7 - (2 + -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/3)\/(10\/2355). Let o = 220 + b. Calculate the greatest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1) + (21 + (0 - 682\/33))*-147?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c - -da?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.261 to 2 decimal places.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -3*z + 7. Let j = z + -37. Let d be (-7 + -3)\/(j\/(-1)). What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 44, -2, 5 in ascending order.\nAnswer: -7, -4, -2, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 38 (b) -4\/15 (c) 0.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 460?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*l**2 - 4 + 109*l**2 - 2*l + 144*l**2 in the form t + s*l**2 + f*l and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-77)\/(-7))\/(-11))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 - w. Give a(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**5 - 19*p**3 + 19*p**3)*(-4 + 2 + 4) + ((0 + 3 - 1)*(-p**4 + 0*p + 0*p) - 3*p**2 + 3*p**2 - 2*p**4)*(-2 + 2 - p).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + (-98 + 49 - -6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let a(k) = -5*k + 27. Let m(y) = a(y) + 4*h(y). Let b be m(0). Suppose 43*o - 18 - 111 = 0. Solve -o*x = 5*p + b, -x - 2 = -p - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4)*(-26*o + 40*o + 17*o).\nAnswer: 124*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:35 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + o**3 + 10)*(-4 - 2 + 1) + (43*o + 162 - 162)*(-3*o**2 - 3*o**2 + 4*o**2).\nAnswer: -91*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9470, -9468, -9466, -9464, -9462?\n\"Answer: 2*g - 9472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - -2. What is the greatest common factor of m and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*m + 75*m = -10120. What is the smallest common multiple of 240 and m?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 2*(3 + -4) + 1. Let j be 0 + a\/(-18) - (-28)\/(-126). Suppose j = -3*s + 3*y + 15, 2*s + y - 2 = 2. Solve -5*h = -3*p - 7 - s, 4*p = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 55 - 39*c - 25 - 30. Let b(v) = -3*v - 2. Let m(o) = 2*o - 2. Let z(u) = 2*b(u) - 2*m(u). Calculate -4*a(n) + 15*z(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 13*w**2 + 12*w + 33. Let n be o(14). Suppose 8 = g - 5*g - z, n*g = 3*z + 7. Let h(u) = -10*u**3 + u**2 + 2*u + 1. Calculate h(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/20*((-45)\/105)\/(3\/(-14))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(891) + -2)**2 + (sqrt(891) + -2 + 0 + sqrt(891))**2)*1 + 1.\nAnswer: -44689 + 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64946279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:36 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -3. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 962*g**3 + 8*g**2 + 5*g - 1. What is o(-1)?\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.0238 plus 0?\nAnswer: -104.0238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 64.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*3*sqrt(132) - sqrt(132))\/sqrt(12))**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/5)\/((-423)\/(-987)*(-14)\/60)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = 18*t - 24, -2*z - 27 + 11 = 9*t - 13*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 438, 1145, 2472, 4611?\nAnswer: 7754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98\/25 in -0.3, -3\/4, -5\/6, 10, 0.3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1344?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 2*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2561 = 4*m, 2*m - z - 659 = 624. Calculate the remainder when m is divided by 209.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1040)\/8736)\/((-2)\/14).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -43.5 + -347679308374\nAnswer: -347679308417.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 159*v + 0 - 162*v)*(4*v - 6*v + 0*v).\nAnswer: 6*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5055)\/(-674)*198\/(-27)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 7 = -5*y, -j - y = -8. Solve j*z = -5*w + 17, 6 + 4 = -2*z + 2*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/12*3\/2. Let a be s\/(-24)*-8*-6. Calculate the least common multiple of a\/4*(-2)\/(-4) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/18)\/((140\/(-24))\/7)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 1071?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/100 - 75*q**4\/8 + 188*q**3\/5 + 2*q**2 + 18. Factor n(h).\nAnswer: -3*(h - 1)*(h + 376)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3360\/1232)\/((-16)\/792). Let c = -361 + 225. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + -3.95. Let w = 3221\/8600 + 1\/2150. Which is the smallest value? (a) x (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244\/35 + -46\/7. What is the second biggest value in -0.5, 7, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 214. Let x = -138 + 303. Let l = x - d. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 22*z. Let q(c) = -25594929*c**2. Calculate q(w(u)).\nAnswer: -12387945636*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/3 + 8\/24. What is the third derivative of d + 0 - 2 + 4*i**2 - i**3 wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from mmfmmnmmfwn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.15. Let c be ((-10)\/(-35))\/(3\/7). Which is bigger: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 37. Determine g(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 4*m - 2. Suppose 3*p + 1 = 10. Give b(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54 + -1b?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-64)\/6*105\/(-10). Calculate the highest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(-2\/13)\/o))\/o**(-4)*(o\/(o*o*o\/o**(-2\/5)))**(3\/31) assuming o is positive.\nAnswer: o**(13947\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + k + 1. Let u(a) = 6*a**3 + 9*a**2 - 8*a - 10. Determine -18*d(o) - 2*u(o).\nAnswer: -12*o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 2*v**2 - v - 14. Let s(c) = -11*c**3 + 4*c**2 - 4*c - 30. Determine -2*l(b) + s(b).\nAnswer: -13*b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 3 (c) 0.06 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67d2 (base 16) in base 12?\nAnswer: 1346a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 228*r + 111600.\nAnswer: -2*(r - 186)*(r + 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53976781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 - 21 = 0. Solve 2*b + f = 3*h, -4*h - 3*b - 20 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**3 + 671*h - 1329*h + 0*h**3 + 658*h.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2 - 10*i + 11. Let l(y) = 11*y**2 - 20*y + 21. Let b(d) = -9*k(d) + 4*l(d). Let q be b(5). Solve -q + 5 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1474*f + 494 wrt f.\nAnswer: 1474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2.3 (c) -201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.145 + 10.145. Which is the fourth smallest value? (a) o (b) -3 (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 116359561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30435893857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 7. Suppose 0 = b - w - 6, -4*b + 0 = 3*w + d. Let g(f) = -2*f + 3*f - b + 6*f**2 - 2*f. Determine g(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vspi when four letters picked without replacement from {p: 3, v: 6, i: 4, s: 1}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccxccxcxcccc. Give prob of picking 2 c.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27731 - 59?\nAnswer: -2778a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*c - 14*c + 246 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6 = 2*l, l - 12 = -5*f - l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.4 in -0.05, 2\/15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*j - 33, 0 = 3*y + 2*j - 4 - 15. Suppose t = y*t - 5370. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08826674 - -13.6\nAnswer: 13.68826674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhoa. Give prob of sequence ao.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in seconds?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*n + 36. Suppose 0 = 5*g - 2*o + n*o - 770, 4*g - 2*o = 590. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:18 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*k**3*o**2 - 90*k**3*o - k**3 - 2*k**2*o**2 + 243*k**2*o + 2*k - o**2 wrt o.\nAnswer: 36*k**3 - 4*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -105. What is the units digit of (-24180)\/(-32) - 3 - 9\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12865, -25800, -38733, -51664, -64593, -77520?\n\"Answer: o**2 - 12938*o + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1790 and -81\/1250.\nAnswer: 223750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8207271 and 51979383.\nAnswer: 155938149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107506670 + 18?\nAnswer: -107506651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apga when four letters picked without replacement from fgggudpuauagafgaapaa.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39622 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**2\/2 - n + 86. Let y(v) = -4*v + 5. Determine -6*g(j) - y(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5137499950)\/150 + 1\/(-3). What is x rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 10 = -m - m, 4*l - 36 = 4*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -19. Suppose i*o + 205 = 10*o. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1099*w + 547*w = -572*w + 1140 for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 12 + 5 + 61*u - 44*u - 19*u. Let z = -6 + 11. Determine k(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11894*w**2 + 181*w**3 - 11894*w**2 + 2*w**3 + 2*w**3 - 6*w**3 + (0*w + 0*w - w)*(-4*w - w**2 + 4*w).\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-11)\/((-2596)\/8) - 86218\/54516 and 374\/(-180) - (-1)\/2.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nananna. Give prob of picking 2 n and 1 a.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 762 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 15*r**2 + 17*r + 16. Let p be y(-1). Suppose 0 = -3*z - p*z + 34. Solve z*q = -4*k - 2, 3*q - k - 3*k + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18506 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l**3 - 2*l**2 - 2*l. Let m(k) = 11*k**3 + 3*k**2 + 3*k. Calculate -2*m(p) - 3*w(p).\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let j be u(3). Suppose 5*y + m - 2*m - 6973 = 0, 4*m - 5588 = -4*y. Suppose j*t = -y - 825. Round t to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274404?\nAnswer: 2, 3, 13, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 28*k**2 + 52*k - 3. Let j be g(-26). Is -22\/5 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**8\/840 + 2*d**7\/175 - 3*d**6\/100 + 2*d**5\/75 + d**2 + 67*d - 10. Let a(q) be the second derivative of b(q). Factor a(v).\nAnswer: -2*v**2*(v - 4)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/358 and 1*13 + 101150\/(-8381).\nAnswer: 10382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let j(z) = -z + 7. Let w be j(8). Let o(v) = 2*v + 34. Let r be o(-13). Let h(b) = 2*b - r + 2 + 5. Give w*h(y) - 6*x(y).\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -213?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1488 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2758 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*8\/10*-2. Suppose 0 = c - 3*c - 2*r + o, 8 = c - r. Let b = 17 + c. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 28*y - 45. Let n(g) = 83*g - 134. Let t(p) = 6*n(p) - 17*v(p). Is t(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -443323 + -3?\nAnswer: -443331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 572\/15 + -3797\/90. What is the common denominator of 10\/51 and a?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(-4))\/f**(-1))\/(f**(-1\/11)\/(f*f**(6\/11))))\/(((f**(-2\/7)*f)\/f)\/(((f*f**(-6))\/f)\/f))**(-50) assuming f is positive.\nAnswer: f**(26515\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1\/2, -2, 5, -59.2, 2\/5, 6 in decreasing order.\nAnswer: 6, 5, 3\/2, 1\/2, 2\/5, -2, -59.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 20*r + 142 - 198 = -2*x, x - 4*r = 26 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:18 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11 and 693205077.\nAnswer: 693205066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34177 and 65637.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 24 = 2*q, 2*q - 3*v - 6 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7950395 is divided by 1826.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -355*y + 7166?\nAnswer: -355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let u = -14.895 + 12.01. Let a = 0.115 - u. Sort a, 1, f in decreasing order.\nAnswer: a, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((5 - 2)\/3). What is the units digit of (1 + c + 2)*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + t = 79, -2*m - m + 2*t + 122 = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1519 = 2*m + 3*z, 2*m + 756 = 3*m - 2*z. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(425) + 1 + sqrt(425)) + sqrt(425) - sqrt(425) - 2*sqrt(2057)*-1) + -6*(sqrt(2057) + 1)*1*4)**2.\nAnswer: 6552*sqrt(17) + 563432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Suppose x*n = -n. Suppose n = -4*v + 2*v + 38. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (41 - 68) + -30 + 0 + -3\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3 - 160 + 30*t**2 + 2262*t - 2262*t = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 7, z: 2, p: 3, h: 1}. What is prob of sequence zss?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 - -0.77. Let q = 2.7 - g. What is the biggest value in q, 2\/11, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -28) + (-1715648)\/(-26807)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9580)\/(-7664)*(158*(-1)\/(-600) + 3\/(-12)).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 (base 15) in base 13?\nAnswer: -72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2507.513 - 2473.5. Let w = 0.013 - j. Let s = -24.5 - w. Round s to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1413 - 3044?\nAnswer: -4460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5240 (base 6) in base 14?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -4, -0.403, -2\/7, -297 in descending order.\nAnswer: -2\/7, -0.403, -5\/2, -4, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/7 + 18*i**4\/7 + 180*i**3\/7 + 408*i**2\/7 + 288*i\/7 = 0 for i.\nAnswer: -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4, 36, 88, 160, 252, 364, 496?\n\"Answer: 10*d**2 + 2*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -254.0798624736?\nAnswer: 250.0798624736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*u + 4*u - 46, 5*r = -2*u + 76. Calculate the greatest common factor of r and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1160129390 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(11 - 25620\/2256) - (-3)\/12.\nAnswer: -5\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.08, -8, 494\/7, 0.3, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42577220*n**4 + 3686417 wrt n.\nAnswer: -170308880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -115, -118, -121, -124?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -12 - -3) + 14 - 11\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796\/3 - 5\/3*d**2 - 664*d = 0 for d.\nAnswer: -398, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (9\/(-3))\/3. Let f = u + 0. Let o(s) = 187500*s**3 + s**2 - 2*s. Let m be o(f). What is m rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29 (b) -3 (c) 0.434 (d) 232\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**4 - 10*h**2 - 158*h + 6. Let t(j) = 4*j**4 + 20*j**2 + 317*j - 11. Let u(w) = 11*c(w) + 6*t(w). What is the second derivative of u(x) wrt x?\nAnswer: 24*x**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 4 - 34\/(-16). Let t = -0.19 - 1.81. What is the closest to 0 in n, t, 2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 3*d - 2. Let p be x(4). Let t = 6 + -3. What is the second derivative of 6 - 6 + 2*s**p + t*s wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 374*g + 18618. Let k be v(-49). Solve -17*b - k + 292 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3102*w - 366022. Calculate m(118).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3.11, 2.3, -7\/891?\nAnswer: -7\/891","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12790535 is divided by 264.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170080 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8710 = -159*z + 4646 for z.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11485*q - 8*q**2 - 12*q**3 - 11485*q - 5*q**3 to the form l + c*q**3 + k*q + g*q**2 and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x**2 + 5. Determine m(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -44. What is the second derivative of 14*f - 11*f + 9*f**r + 8*f + 27*f**5 wrt f?\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203510400 a multiple of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 2*t**2 + t + 4. Does 18 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g**3 - 3*g**3 + 4*g**3)*(-2*g**2 + 2*g**2 + 2*g**2) + 46*g**5 + 9*g**5 + 76*g**5)*((-5 - 2 + 6)*(-1 + 2 + 1) + 4 - 5 + 2 + 2 - 1 - 2).\nAnswer: -270*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 552 (c) -1\/4 (d) -0.2 (e) -0.03 (f) -2\/23 (g) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 not equal to -277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 0.4 (c) -1.17 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 7*b - 3. Let t be a(-9). Let i = 0 - t. Let u be -2*6\/(-14)*7. Solve 5*h - u = -i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -774\/31 + 19007\/837. What is the common denominator of h and ((-6)\/9)\/((-96)\/(-122))?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2\/(c*c\/(c\/c**(2\/15)))*(c**0)**(-1\/9) assuming c is positive.\nAnswer: c**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 456 = 45*n - 342, 9*l + n - 52 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/4 + 1265210*a - 320151268820.\nAnswer: -5*(a - 506084)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 9:48 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 5. Suppose -4 = 2*v - 26. Give h(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60125, 120228, 180273, 240260?\nAnswer: 300189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 93255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6 = 3*j, 2*j - 3*j - 2 = 5*x. What are the prime factors of -3*(1 + 0) + 21 + j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5\/1474?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 3*o - 14*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 + -0.69. Let i = 1 + n. Let j = -0.04935 + i. What is j rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296544, -296546, -296550, -296556, -296564, -296574, -296586?\nAnswer: -296600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33.5075 and 12.554?\nAnswer: 46.0615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.13 - 1.2. Sort 0.5, -2\/9, f in decreasing order.\nAnswer: 0.5, f, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) -8 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.13 + 5.07. Which is the nearest to 6? (a) 0 (b) w (c) -5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/91*-7)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o**2 - 24*o + 791. Let p(j) = 63*j. Give p(x(g)).\nAnswer: -567*g**2 - 1512*g + 49833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + p - 5*p + (6 + 5*p - 6)*(0 - 1 - 2) - 2*p - 3*p + 3*p - 2*p - 2*p + 6*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100651*k - 100652*k - 39*k**2 - 23*k**2 + 2*k**3.\nAnswer: 2*k**3 - 62*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8296282 is divided by 249.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**4\/24 - c**3\/6 - 5*c**2. Let z(b) = -2*b + 2. Let t(u) = 3*v(u) - z(u). Let p(o) = o + 4. Calculate 5*p(y) + 4*t(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) -2\/9 (c) -4037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 1, -1, 551, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1349, -2696, -4043, -5390, -6737?\nAnswer: -8084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31, -54, -79, -106, -135, -166, -199?\n\"Answer: -h**2 - 20*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006350246399 rounded to 6 dps?\nAnswer: 0.000635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*a - 70, 0*j + 3*a + 54 = -4*j. Calculate the least common multiple of (18\/(-8))\/(3\/j) and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100000010100 (base 2) in base 9?\nAnswer: -15060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2184 and 21.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/5? (a) -12 (b) -5\/3 (c) -6\/5 (d) -26\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1175*p - 162*p - 193*p)*(-2 - 2 + 8).\nAnswer: 3280*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003231 + 33133?\nAnswer: -1310032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + h + 8, 9 = 2*u - 0*h + 3*h. Suppose 0*x - u*x = -9. Let v be (1 + x\/9)\/(-2). Which is the closest to v? (a) -3\/4 (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1126, 8522, 28562, 67558, 131822, 227666?\nAnswer: 361402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a9b + -104?\nAnswer: -2ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 9:29 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 396\/8 + 5\/10. Let l be -7 - -66*5\/m. Which is smaller: l or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.5. Let l = -94\/3 - -32. Let m = -39 - -39. What is the biggest value in v, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 j when four letters picked without replacement from jzjjp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1813933\nAnswer: 1813934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2411*s**2*v - 5*s**2 + 2*s*v + 78*s - 4675589*v wrt s.\nAnswer: 4822*s*v - 10*s + 2*v + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekekhkbekhbhb. What is prob of sequence bkk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zovz when four letters picked without replacement from ppoppqvpvvzz?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 3. Let u(g) be the first derivative of 2*g**2 - 3*g - 2. Let c(o) = 6*d(o) - 5*u(o). What are the prime factors of c(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -262 + 267. Suppose -2*k = -g - k + 52, -3*k = -w*g + 250. Let z = 13 - 7. Calculate the remainder when g is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2060539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = h + 464. Calculate the remainder when 260 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 575*r**2 - 7854*r - 72. What is m(14)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4168200 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 - 4633*q\/2 - 9274.\nAnswer: (q - 4637)*(q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(72))*-4 + sqrt(72) - ((2*sqrt(72))**2 + 5))*5.\nAnswer: -1525 - 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-35))\/((-15)\/210).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w\/w**2*w))\/w*w*w**(3\/2)\/w*(w**7)**(15\/7) assuming w is positive.\nAnswer: w**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*t + 1676 = 819 + 1047 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = -3*k. Let g(w) = 9*w**2 - 11*w**2 + 3 + 5*w - 3. Let b(a) = -a**2 + 3*a. Determine k*g(p) + 5*b(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - -26) + (0 - (4 - 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33537780 divided by -3231?\nAnswer: -10380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -57. Suppose -c - 4*i + 8 = 0, -2*c + q*i - 20 = -6*c. Calculate the smallest common multiple of 44 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14080 (base 12) to base 9\nAnswer: -42046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 0*w + w**2 + 0*w + w - 4. Let n be j(5). Suppose -o + 13 = -d + 5, 4*o + 2*d = n. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*z - 155*z + 1925 = 0. Let w(u) = -5*u + 164. Calculate w(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/20)\/(2\/30). Let s = r + 16. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4527011 divided by -1.\nAnswer: 4527011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -1.22406.\nAnswer: -0.734436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.267 - 16.167. What is the closest to -3 in 4, p, 36?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 5*d**8\/336 + d**5\/20 - 3*d**2 + 3*d. Let m(p) be the first derivative of l(p). Find the third derivative of m(w) wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 670 + 2210. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158534, -157719, -156904, -156089, -155274, -154459?\nAnswer: -153644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.4 (b) 1 (c) 428 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 50104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -11 - (-25 + 4)) + 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 19 = 5*y, 34 = 3*h - 0*h + 5*y. Solve -h = 76*v - 73*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175303319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {z: 1, j: 1, f: 2, m: 1, s: 1, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (48\/352)\/(42\/(-77))*0\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -111001011?\nAnswer: 110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*x**3 - 3386*x**2 + 5*x + 1979 wrt x?\nAnswer: 30*x - 6772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 770 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1999 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 96*h + 1583. Let v be s(-79). Solve 2*t + v*u - 2 = 237*u, 0 = -2*t - 5*u + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5203 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2721541563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w - 36 = -27*w + 3*z, 4*z = -8. Let f = 15 + -11. What is the third biggest value in -1, f, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 c, and 1 j when four letters picked without replacement from {l: 2, p: 1, c: 4, j: 1, d: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 604373876 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(16940\/56)*88.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 5*g**2 - 5*g - 3. Let q be t(-4). Put 2, 5, q in ascending order.\nAnswer: q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11821.266 seconds to hours.\nAnswer: 3.283685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (sqrt(308)*-4)\/sqrt(11)) + sqrt(196)\/((sqrt(21)\/sqrt(3) - sqrt(7)) + sqrt(7)))\/(sqrt(324) + 2*sqrt(324) - sqrt(324) - sqrt(36)\/sqrt(9)*5).\nAnswer: 6*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3. Let d(m) = -2*m**3. Let a(n) = -n**2 - n + 2. Let s be a(2). Let x be 23\/7 - s\/(-14). Determine x*l(b) - 5*d(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(448) + 2)*-1 + sqrt(7) + 3 + 1*sqrt(7) + sqrt(686)\/sqrt(2) + 4)**2.\nAnswer: 10*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)\/i)**35\/((i\/i**5)\/((((i*i*i\/(i**(-1\/2)*i))\/i)\/i)\/i))*i**(-1\/2)*i\/(i*i**9*i)*(i**(-2\/7))**(8\/11) assuming i is positive.\nAnswer: i**(-9195\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77374668 and 3248.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/2*(5 + -4). Suppose -2*g + f = 4*x, 3*x - 15 = -0*x. Solve -3*d - g*v = -5*d, 14 = 2*d + 3*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1326893 = -5*h, 3*h - j + 5*j = 796127. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/58 and (-724)\/(-48) + (-12)\/(-16).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2 = 0, 1 + 0 = h + r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)\/(3\/6). Let m be -4*-1400*2\/d. Round m to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7135241 rounded to 3 dps?\nAnswer: -0.714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112 minus 2.3634?\nAnswer: -2.4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -108, 3\/46, -6, -2\/3, 5?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -2*h - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-55)*(13 + -18) - (-18 - 26)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 5*n + 4. Let i be b(-2). Put -3, i, 0 in descending order.\nAnswer: i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(((r*r**23)\/r)\/r*r)\/r)\/r)\/r*((r*r\/(r**25\/r))\/r)\/r)\/(((r**(-2\/47)*r)\/r)\/(r*r\/r**(-1\/10))) assuming r is positive.\nAnswer: r**(-403\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115 - -131) + (1 - 3 - 0) - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14600 and 1110650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1884906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4184\/(-2736))\/(2852\/(-1172) + 3). Let i = -15\/3154 - a. What is the common denominator of i and 57\/52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14841.5 to the nearest 10.\nAnswer: -14840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3827866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 26*h - 4. Let j be f(2). Suppose 7*y = -j*y + 49555. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5033312, -5033318, -5033328, -5033342, -5033360?\n\"Answer: -2*u**2 - 5033310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*y**3)*(-77 + 96 - 57) + 3*y**3 + y**3 - 6*y**3.\nAnswer: -78*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/3))**24*(t**(-1))**(6\/7)*(t**0)**(7\/5)\/(((t*t\/(t**5\/t)*t*t)\/t)\/(t\/(t*t\/((t**(-1\/5)*t)\/t)))) assuming t is positive.\nAnswer: t**(523\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 12865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 40*v - 936. What is h(23)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 15 = r, -3*y - 14 - 1 = 0. Suppose 5*f - 3*f - 2*k - 66 = 0, 4*f = r*k + 127. Let d = f + 4. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r + 0*r)*(-86 - 15 - 68).\nAnswer: 338*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1982, 1, -2\/5, 0, -0.004 in decreasing order.\nAnswer: 1982, 1, 0, -0.004, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.05406 * 1\nAnswer: -0.05406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/4 of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006583599 rounded to seven decimal places?\nAnswer: -0.0000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29365243829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15494)\/(-61))\/((-6)\/(-3)). Solve -w*b - 6 = -124*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4.7. Let v = -18 + 20. Suppose 8 = -v*w + 4. Which is the second biggest value? (a) w (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26086928, -52173819, -78260708, -104347595, -130434480, -156521363, -182608244?\nAnswer: -208695123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 985.\nAnswer: 1\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-14 + 2 - 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1921 - -2039. List the prime factors of z.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - -0.3. Let k = 22 + -20. Which is the third biggest value? (a) k (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/3 or -3514?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49238011 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v + 2*o = -24, -3*o = -4*v + 26. Let x(h) = 7*h**2 - 6*h - h**3 + 0*h**2 - h + 3. Let r be x(v). Solve 4*s + r = 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 11:02 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -258 - -269. Calculate the remainder when 73 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by -43776?\nAnswer: 47\/14592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4425969943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1 + 13*h**2 - 4*h**2 + 13*h + 1 + h**3. Let f be v(-4). Factor -f*z**3 + 1 - 1 - 10*z - 7*z**2 - 58*z**2.\nAnswer: -5*z*(z + 2)*(6*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(-4\/7)\/x)\/x*x**(-4)*(x**5)**(-16))**(1\/9) assuming x is positive.\nAnswer: x**(-599\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 41382?\nAnswer: 289674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177097 + 294108. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/132*(-88)\/220.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(176)) + (sqrt(165)\/sqrt(3))\/sqrt(5) + sqrt(11) + (sqrt(132)\/sqrt(4))\/sqrt(3).\nAnswer: -5*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003522622 rounded to seven dps?\nAnswer: 0.0000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -102\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/130 and -37\/2145?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1085 and 4026925.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 g when three letters picked without replacement from fgcjgfgggcgcccagc.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 683*c**3 - 1343*c**3 + 2*c**2 + 668*c**3 + 6*c + 3*c**4 as l + o*c**3 + y*c**4 + m*c + n*c**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/10)\/(-1))\/((-188)\/(-235)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -0.4, -1\/2, -2, 3504?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j - 128 = 35*j. Calculate the remainder when 74 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9931 - -9614. Is -313 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8294*v**2 - 4146*v**2 + 175*v - 4147*v**2 + 238*v.\nAnswer: v**2 + 413*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10042*q - 20084*q + 30121*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*j + 3*b, j - 2*b = 3*j - 34. Suppose -n = 0, -5*s + 3 = -2*n - j. Suppose -s*q - 184 - 20 = 0. What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197308671 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 11 = -5*s - y, -5*s + y - 3 = 0. Let h = s - 0. Is ((-3)\/5)\/(h\/5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10934, -44766, -101152, -180092, -281586?\nAnswer: -405634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -20. Suppose 41*m + 74 + 49 = 0. Which is the nearest to 0.3? (a) 2 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-8)\/(3 - 11).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29795 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(-4 + sqrt(156)\/(sqrt(48)\/(sqrt(4) + sqrt(8)\/sqrt(2) - sqrt(4)))) + -1)**2.\nAnswer: -66*sqrt(13) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1152121 (base 6) to base 10\nAnswer: -61393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k - 6. Let l(s) = -s**2 - 5*s + 7. Let w be l(k). What is the remainder when 17 is divided by ((-1)\/w)\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 8*c - 45. Solve c*l = -j - 17, -8 = 2*l - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 - (517 + -507).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/30*5 + (-8)\/16.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5518574*l**2 - 11 + 10 - 5518565*l**2.\nAnswer: 9*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**36*r**(-39)*r*r*(r**3)**(2\/55) assuming r is positive.\nAnswer: r**(-49\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3. Let z = 9 - 12. Let p be 11\/(-3) - t\/z. Which is the biggest value? (a) -0.2 (b) -3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 5 + -3 + -1. Let y be (-12)\/(-5) - (3 + s). What is the third smallest value in -4, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppjiuippipi.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*z - 103*u = -109*z - 104*u + 13, 6 = 5*z + 3*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -50\/7 (b) -31\/15 (c) 3 (d) 0.1 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*j + 24, 0 = -2*g + 6*g + 4*j - 96. Suppose 0 = -4*r + 4*f + 36, 25*f + 36 = 4*r + g*f. Solve r*w = -29 - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*1)\/sqrt(9)*-4)\/(3*sqrt(112)*3).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*l**4\/5 - 659*l**3\/5 + 457*l**2\/5 + 1119*l\/5 - 126\/5 = 0 for l.\nAnswer: -1, 14\/129, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*l**3*z**2 - l**3*z - 1122*l - z**2 wrt z?\nAnswer: -32*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528*c - 339*c - 198*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 1. Suppose r - 7 + 5 = 0. What is g(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**4\/24 - l**3\/3 - 2*l**2. Let g be m(4). What is the derivative of 5*k**g + 1 + k**3 - 5*k**2 wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzzzzuzzzuzzzzu. Give prob of sequence zuz.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(2 + 3 - 2)*(-8 + 8 + p**3) to the form k + f*p**2 + d*p + i*p**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 24 + (-24 - 23) - (-1 + -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/7*t**3 + 8\/7*t - 32\/7*t**2 + 0.\nAnswer: -2*t*(t + 2)*(9*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.444661 - -0.4.\nAnswer: -23.044661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Let p(l) = -2*l + y*l + l. What is p(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6851 and 434?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-4)*38340\/13490.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z + 5*z)*(-20*z**3 - 86 + 86) + z**4 + 2*z**4 - 2*z**4 + (7*z**4 - 2*z**4 + z**4)*(1 - 1 - 1 + (5 - 3 - 1)*(-1 - 2 + 1)).\nAnswer: -37*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/(-1)*4\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.944998 millilitres in litres?\nAnswer: 0.000944998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 423 and 0.1.\nAnswer: 423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2195365 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 9*x + 22 = 0. Let y = -29 + x. Let m(v) = -v**2 - 8*v + 13. What is the units digit of m(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106162542.\nAnswer: 2, 3, 1965973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(192) + 1) - sqrt(12)\/(sqrt(16)*4).\nAnswer: 3 + 191*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -26, -29, -32?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(5*(sqrt(13) + 0) + sqrt(13)) + 3 + -4 + sqrt(52)\/(sqrt(20)\/(sqrt(20)\/sqrt(4))) + -5.\nAnswer: -29*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 + -30.23. Let g = 66 + p. Let h = -36.071 + g. What is h rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 - 3*l**2 - 3*l**4 - 1 + 3*l**3 - l**2 + 4*l**4 in the form s*l**4 + j*l**3 + o*l**2 + g*l + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 5. Suppose -5*x - 144 = -y*d - x, -3*d + 85 = -x. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -129376 and 0.022727835.\nAnswer: -129375.977272165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/160*4*4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, b: 7, w: 4}. Give prob of sequence gbbg.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(3*k - 5*k + k) + 14*k - 8*k + 11*k)*(6*k**2 + 0*k**2 + 6*k**2).\nAnswer: 228*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 37, 51, 65, 79, 93?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 5:44 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytgtcgyctgccggyggy. Give prob of picking 1 c, 1 t, and 1 y.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217859596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*p - 46. Let o be 24\/30 - p\/20. Which is the second smallest value? (a) 0.3 (b) o (c) -1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, and 1 m when three letters picked without replacement from iemimmtqembe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -3 + 0 + sqrt(98) + (sqrt(98) - (sqrt(98) - (-1 + sqrt(98)))) + -5)*2 + -2)**2.\nAnswer: -1680*sqrt(2) + 3928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 50 = -0*a + 5*a, 9*t - a = -0*t - 52 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + sqrt(539) + (sqrt(539) + sqrt(539)*2)**2.\nAnswer: 7*sqrt(11) + 4850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*n + 10 = 59*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:50 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yccchcchhhchhrhc. Give prob of sequence rccc.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 32 = 2*h. Let a = h + 24. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26511296 and 5440?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/35)\/(-4))\/(1\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*r + 23, -3*w + 4*r = -0*w + 11. Let f be (-1 + (-1)\/(-5))\/((-26)\/130). Solve -2*h + w*x - 15 = 0, 3*h - 2*x + f + 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56582)\/17955*5*2*-3. Let n = -850\/9 + x. Factor n*s**5 - 10\/21*s**4 - 2\/7*s**2 + 0 + 0*s + 2\/3*s**3.\nAnswer: 2*s**2*(s - 3)*(s - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3458, -0.39, 28, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 + 10)\/((-92)\/8). Which is the nearest to 2\/3? (a) -8 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = -2*l - 4*m, -m = 2*l - 15. Suppose -l*y - 3*j + 14 + 0 = 0, 12 = 4*j. Suppose 0*v = v - y. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 2. Let z(l) = -2*l**3 + 6*l**2 + 4*l + 7. Let i be z(5). Let p = i - -63. Let g(a) = 3*a + 3. Calculate p*x(c) - 6*g(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4\/20 + 4*h**3\/15 - h**2\/2 + 2*h\/5 - 234. Suppose y(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 3*z + 0*z + (z - z + 2*z)*(1 - 4 + 4) - z + 0*z + 0*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1085537816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1436049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8771.9 + 8382. Let y = g + 390. What is the biggest value in 1.6, -4, y?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2735*u + 32963 - 114475 = 11719 + 120099 for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-15 - 2 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l + 6*l + 8 - 24*l. Let m(s) = 9 + 8*s - 25*s + 10*s. Determine 6*j(d) - 5*m(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + 2 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-2))\/3*826\/21 + 5. Solve 19 = -15*h + y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 6:43 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-18) - (-6)\/(-9). Solve 7 = f - 2*j - g*j, 0 = 3*f + 2*j + 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - -0.1. Let x(l) = 6*l - 14. Let h be x(3). Suppose -40 = h*n - 36. Which is the closest to 2\/3? (a) n (b) w (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -6*l - 4\/3*l**3 + 8899\/4*l**4 - 48 - 15\/2*l**2. Let y be f(-18). Round y to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 - m + 110 + 3*m)*(4288 - 4288 - 9*m + 5*m**2).\nAnswer: 10*m**3 + 27*m**2 - 81*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72611.\nAnswer: 7, 11, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 229.3, 9\/580?\nAnswer: 229.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 9. Differentiate -9 + z*y + 6 - 3*y + 2*y**4 with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2304596 = 4*d - f, 0 = -829*d + 834*d + 3*f - 2880745. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (309*o**2 - 610*o**2 - 376*o**2)*(3*o - 1 - 5*o - 1)*(-5*o + 5*o - 10*o).\nAnswer: -13540*o**4 - 13540*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115555898 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0 - 35*x**2 - 7\/15*x**6 - 49\/15*x**5 - 17\/3*x**4 - 3*x + 0*x**3 + 2\/105*x**7. Factor q(a).\nAnswer: 4*a*(a - 17)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -931.43874 rounded to 0 dps?\nAnswer: -931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -152, -329, -518, -719?\n\"Answer: -6*s**2 - 159*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5 - (-36)\/20. Suppose 0 = x*y - 0 - 4. Suppose 74 = 3*o - t, y*o - 3*o + 28 = -t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -189, -192, -197, -204, -213?\n\"Answer: -d**2 - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -2\/19, 3\/8, 0.5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**4\/12 + 4*x**3\/3 - 3*x**2 + 4*x. Let w be v(7). Let q be 2 + -3 - (-2)\/2. Solve f + q*f + w = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556694?\nAnswer: 2, 278347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 4. Let c be o(0). Let j(w) = -w + 0*w + 3 + 2*w. What is j(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/(-33))\/(4\/6846). Let q = u - 20533\/18. Let f = 4\/9 - q. Put 1, 1\/2, f, -0.5 in descending order.\nAnswer: 1, 1\/2, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Solve p + 2 = -n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 = 5*r, -3*y + 7*y + 5*r = 81. What is the remainder when 56 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = 12. Let a(n) = j + 0 - 4 - n + 4. Give a(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + ((sqrt(176) + 1 - sqrt(176))*3 + -4 + -4)**2)*3.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19 and 131560.58.\nAnswer: 131579.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + (3 - 5 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h + 3 + 81. Let t(k) = 14*k**3 - 7*k**2 + 7. Let r(y) = 7*y**3 - 4*y**2 + 4. What is h*r(z) + 4*t(z)?\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32635 - 32633. Which is the second biggest value? (a) 1\/4 (b) 0.007 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2. Let r(g) = 12494945*g. Determine u(r(b)).\nAnswer: 780618252765125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -156642288 minus -0.02653366?\nAnswer: -156642287.97346634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, e: 15}. What is prob of sequence es?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4840103 + -0.484. Round b to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t**2 - 8*t - 9. Let i(s) = -s + 1. Let u(b) = -2*i(b) + q(b). Let n(o) = -5*o**2 + 2*o + 4. Give -11*n(x) - 4*u(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 2*y = 8*o + 33, -5*o + 140 = 5*y. Let d(i) = 35*i**2 - 2. Calculate the remainder when d(-2) is divided by -5 - ((3 - -1)\/(-2) - o).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**3 + 5*o + 5. Let m(s) = 3*s**3 - 3*s - 3. What is 3*f(n) + 5*m(n)?\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29861?\nAnswer: 13, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -3\/6679121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1375 - 292*r + 276*r - 1375.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 3*j**3 - j**3)*(-3 + j**2 + 3) + (-4*j + 2*j + 0*j)*(-j**4 - 2*j**4 + j**4).\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -966.22939 to one dp.\nAnswer: -966.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 2\/65, 1\/402, 1, -5, 0.1, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -6, 18 in ascending order.\nAnswer: -6, -5, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*s**4 + 87*s**4 + 16*s**4 + (-3*s + 0*s + 4*s)*(s**3 + s**2 + 3*s**2 - 2*s**2).\nAnswer: 115*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0515 - -291.0515. Let x = g + -263. Is x smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610807529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.08. Let z = -1741 - -1740.874. Let m = y - z. What is m rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48198, 96471, 144742, 193017, 241302, 289603?\n\"Answer: x**3 - 7*x**2 + 48287*x - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/946580 and 23\/38336490?\nAnswer: 76672980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -57, 131, 4, 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Let f(v) = -6*v - 38 + 43 + 3*v. What is -f(j) - 4*k(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.68042 to 1 dp.\nAnswer: 121.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 3\/8, -0.5, -16, 9, 1643 in ascending order.\nAnswer: -16, -0.5, 0.08, 3\/8, 9, 1643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.40014251 rounded to 1 decimal place?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*f - 61, 46*z - 8*f + 159 = 45*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 3*f + 2. Let b be h(5). Let u = b + 14. Let r = u - 7. Sort r, 2, 3 in decreasing order.\nAnswer: 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3821388700 to the nearest 1000000.\nAnswer: 3821000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91690376 and 1.\nAnswer: -91690376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427194*g + 106345*g + 1072219*g + 34107*g.\nAnswer: 1639865*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-9970)*(-8)\/9. Let y = r - 42201\/3988. Find the common denominator of y and -89\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 1504, 3981, 7450?\nAnswer: 11911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 83490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -4*x - 46*u - 39, -63 = 3*x + 2*u for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**8\/28 + 737*t**7\/42 - 1477*t**4\/6 + 3*t + 578. What is the third derivative of u(g) wrt g?\nAnswer: -240*g**3 + 44220*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/9 + 1046*j**4\/9 + 2458*j**3 + 39034*j**2\/9 - 22124*j\/9 - 13360\/3 = 0. Calculate j.\nAnswer: -501, -20, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mstlsvsvtlslls. Give prob of picking 1 s and 1 m.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 4. Let u(d) = d + 2. Suppose 5*q + 35 = 4*x, -4*x + 14 = 3*q - q. Let n = -1 - q. What is n*g(r) + 5*u(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(72)*-2 - sqrt(72) - (sqrt(72)*-2 + -4)) + -5*((sqrt(72) - 2*sqrt(72)) + -3) + -3)**2.\nAnswer: 624*sqrt(2) + 1321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -1625, -3611, -6381, -9929, -14249, -19335, -25181?\nAnswer: -31781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 30*l**2 + 1244*l + 16. Calculate v(-41).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from bjjvbpdjj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 83532.5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.96 * -513.333\nAnswer: -492.79968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2680 and 493522?\nAnswer: 9870440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3\/8 - 33*k**2\/8 + 15*k\/4 = 0?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 18 = -3*i - 8, r + 1 = 0. Let t = -2.32 + 0.32. What is the nearest to t in -0.4, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103432022 + 2442?\nAnswer: 103440014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkqq when four letters picked without replacement from {k: 10, r: 2, q: 6}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*f**3 - 95*f**3 + 31*f**3 - 89*f**2 - 402*f**2 - 13*f**3 wrt f.\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 + -174.9. What is f rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13 - 658*v - 452*v + 401*v - 15. List the prime factors of j(-1).\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7345 + 7344. Let t = -300047\/830 + 723\/2. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1516458593.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 355831, 13, -2, 5 in increasing order.\nAnswer: -2, 5, 13, 355831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 20*t + 41. Let n be w(-18). Suppose -n = 2*o - 3*o, -3*l + 4*o - 14 = 0. Solve -l*x = -0*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.05337*-117.\nAnswer: 1293.24429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n + 2*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 11. Suppose -2*q = q - 3. Solve -2*i - 5*n - 9 = q, 2*i = -x*n - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -140*c**2 + 2100*c + 7. Determine n(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -24. Suppose z + r + 399 = -s*z, -324 = 4*z + 2*r. Let o = 346 + z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 969 (c) 0.4 (d) -0.5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4 and 57\/(-6) + 4 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - -8. Let i(u) = 2*u**3 - 5*u**2 + 7*u - 3. What is the remainder when j is divided by i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -326*d - 360*d + 617*d - 897 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 12*x**2 + 12*x - 15. Calculate the remainder when b(-10) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ckccckkcckkckkkckck.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**2 - 55*a - 2. Let r be z(-6). Let p = 146 - 149. Put 2, r, p, 68 in descending order.\nAnswer: 68, r, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35883*y + 35886*y = 2*o, o + 18 = -3*y for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1668 and 4726.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.046, 2, 1.26, 0.4 in descending order.\nAnswer: 2, 1.26, 0.4, -0.046, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/738)\/(2 + -1). Do 0 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3 - 2*r + 4*r**2 - 6 + 4. Let l be j(3). Let b be -1 + 1\/((-2)\/(-8)). Solve b*w - l = -p - w, -2*p + 15 = w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (3 - 4) - -3. Are -18\/11 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.67709 * -0.007.\nAnswer: 0.01873963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*t = 0, -3*m - 2 = -t + 3. Let r be (m + 0)\/(13\/78). Let z be (r\/5)\/((-6)\/45). Solve 3*q - z = 0, 0*q + 8 = 4*i - 4*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*k + 0*k = 760, -k = -5*n + 950. Suppose 11*s - 773 = -n. What is the remainder when s is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 81?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 - 3*o**2 - 468*o + 469*o - 4 + 6 to j + w*o + a*o**3 + z*o**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 26, -470, 0.3, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*k = -r - 27, 0 = 3*r - 2*k - 1. Let h(m) = -m**2 - m - 1. Let a(t) = -2*t**2 - 1. Let l(g) = r*h(g) + a(g). Factor l(x).\nAnswer: (x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9409*b**2 - 704*b**2 - 3855*b**2 + 2074*b**2.\nAnswer: -11894*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 - (7 + 5)\/3. Suppose 8*v = 5*v - 2*q - 3, 0 = -2*q - s. Calculate the least common multiple of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.045 - 37.955. Let p = 386504092 + -386504053.9999922. Let s = b + p. What is s rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -465, -437, -375, -267?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 2)*(1 - 1 + 1)*(d - 2*d - d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f - 11. Let n be t(0). Let v(g) = -g**3 - 11*g**2 - 3*g - 12. Calculate the remainder when v(n) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*b = -4*b - 11, 3*y + 2*b = -4. Solve 0 = -5*u - 15, y*n - 2*u + 2 = 6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 71640*r - 71636.\nAnswer: -4*(r - 17909)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose 3*l = 2*p - 1, 5*p - 2*p = -f*l + 10. Let d be (-12)\/510*-23 + 6\/(-10). Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + 89. Let q be z\/14 + (-6)\/14. Let n = 4 - 2. Solve -n*k + 11 = 3*t, -2*t + 0*k + q = k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/(-3)*((-3444)\/(-12))\/(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6375 rounded to one decimal place?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31618*a + 63604*a - 31723*a + 4*a**2.\nAnswer: 4*a**2 + 263*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2. Let u = 129 + -127. Let d(o) = 2*o**2 + 8*o**2 - 8*o**u. Give d(n(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3647, -7303, -10959, -14615?\n\"Answer: -3656*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 12*z - 21. Let r be s(-13). Suppose 4*p + 40 = 2*p. Is ((-4)\/r)\/((-2)\/p) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:36 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*j = 121*j - 13104. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7190 and 46735?\nAnswer: 93470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10007100 by -2501775.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5097712147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttpt when four letters picked without replacement from tpttpttttttttttttttt?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 7854.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. What is the third derivative of 2*z**2 - 2*z**m + 0*z**3 - z**3 wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2)\/(4\/(-20)). Suppose 0*h - h = -4*n - 21, -q*h = 3*n + 10. Let z be ((2 - 3) + -10)*-1. What is the highest common divisor of h and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43391\/5 + -8678. Let a(d) = d**2 + d - 1. Let p be a(-5). What is the closest to 0 in o, 0.4, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20102020110 (base 3) in base 11?\nAnswer: -86980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.8 + 8. Let n(a) = a**2 + 8*a + 11. Suppose 0 = -4*d - 21 - 7. Let o be n(d). What is the third biggest value in k, o, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/2 - 3)\/(-2). Suppose 3*l - 6 = x - 4, j*x = -4*l - 19. Let t = 10 + -11. Which is the second biggest value? (a) x (b) -2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4130 - 4129. Put 0.0322, -2, 4, n in descending order.\nAnswer: 4, n, 0.0322, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668991?\nAnswer: 3, 173, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2534)\/21 + (-5)\/(-3). Let k = m + 169. Suppose 0 = 4*c - 2*b - k - 6, c = b + 12. What is the remainder when 45 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233025 a multiple of 717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from fiiieppeqepipee?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x**2 + 16*x**2 - 17*x**2 + 145*x**2 to l*x + d*x**2 + n and give d.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 3. What is x(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let h(i) = -16*i - 1. Determine -h(c) - x(c).\nAnswer: 17*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6488 rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-1 - (-395)\/55))\/(-2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - 2. Let m be x(-3). Let j = -8 + m. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131 + 24242333022?\nAnswer: 24242333203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*r = 279*r + 10*x + 12, -4*r + 5*x = -129. What is the remainder when 692 is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*v = -24, 6732*p - 5*v + 30 = 6737*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39021842213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -73) + -75 + (-5 - 0 - 0)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40257, 80507, 120757, 161007, 201257?\n\"Answer: 40250*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31*36\/89838)\/((-2)\/14*1).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {u: 1, d: 2, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quuu when four letters picked without replacement from nququnnuqqnqqun?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, u: 1, n: 1}. What is prob of sequence nqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*n - 21*n + 11*n)*(-6 + 3 + 1)*(2 + 3 - 4 + (1 + 1 - 1)*(2 + 0 - 4) - 4 - 2 + 5) to v*n + f and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18d8b - -7?\nAnswer: -18d84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Put 2, -3, g in decreasing order.\nAnswer: g, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7849*s**2. Let k(i) = 18034*i + 4. Calculate k(h(o)).\nAnswer: -141548866*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363.4*2.83.\nAnswer: 1028.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Solve -2 = 2*c + l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11583 and 42614.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**7\/42 + 2*x**4\/3 - 5*x - 5. Let d(n) be the first derivative of t(n). What is the third derivative of d(w) wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -r + 5*n + 26, -n = 5*r + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8414 or 247\/2?\nAnswer: 8414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28460 = 1619*a + 29878 - 1673 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 28820*d + 2567136.\nAnswer: -4*(d - 7293)*(d + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 51. Let d(r) = -2*r**2 - 2*r + 1. Let y(q) = -q**2. Give u*d(j) + y(j).\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -2*z**3 - 120. Suppose 0 = -5*p - 3*j + 4*j + 7, j = 3*p - 3. Let w(n) = -p*n + 4 - 4 + 0. Calculate a(w(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*c - 0 + 2, 0 = 5*c + 3*v + 11. Let m = c - -5. Is m + 11 - 21\/7 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**28*j\/j**(2\/43))**(-40) assuming j is positive.\nAnswer: j**(-49800\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*q + 65*q + 237*q - 213.\nAnswer: 434*q - 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4342 = -332*j - 2917 - 11665 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253821914 divided by 2?\nAnswer: 126910957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = 2*v - 0*v, -3*c - 12 = -2*v. Sort 5, v, 3, 2.\nAnswer: v, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 78.00000059. What is y rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1016 and 1397.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2 + 1 - u**3 - 8*u + 4 + 9*u**2. Let k be -3*(-4)\/(-6) - -9. What is the remainder when d(k) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*a*z**3 + 6*a*z**2 - 2*a*z + 3*a + 2*z**3 - 14*z**2 - 609*z + 5 wrt z.\nAnswer: -378*a*z + 12*a + 12*z - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -2*z**3\/21 - 760*z**2\/7 - 147. Factor o(c).\nAnswer: -2*c*(c + 760)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222337429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = -2*m - 3, 2*d - 11 = -m. Find z, given that -8*z**2 + 12*z**d + 6*z**5 - 2*z**5 - 8*z**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**4\/12 + 2*k**3\/3 + 5*k**2\/2 - 11*k. Suppose w(m) = 0. What is m?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**2 + 11*k + 1006. Calculate z(-20).\nAnswer: -2414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14118959 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 106. Suppose -385 = -b*y + 2*o + 2*o, -3*o + 385 = 5*y. Let i = y + 65. List the prime factors of i.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4959, -18734, -41693, -73836?\nAnswer: -115163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*x**5 + 8\/9*x**3 + 4\/9 + 4\/9*x**2 - 8\/9*x**4 - 10\/9*x.\nAnswer: 2*(x - 2)*(x - 1)**3*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 10, v: 5, j: 1}. What is prob of sequence jz?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7467 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20416 (b) 2\/199 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*c + 1093 = -1217. Calculate the greatest common divisor of c and 1551.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*b - 180809 = 607*b + 2174*b + 35457 for b.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8684 and 91603007?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56875.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 0.011\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 168931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15353763 (base 8) to base 12.\nAnswer: 1222097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 11*z - 23*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**2 + 52*p + 18. Let m be z(9). Suppose -10*a - 19*a + 174 = m. Solve 4 = -5*d - a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1199*r**2 + 824*r - 1.\nAnswer: -2398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 14, -0.5, 194?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*j**3 + 452*j**3 - 223*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17def - -4b9?\nAnswer: -17936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51216 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/27 and -41\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80344, 80351, 80360, 80371?\nAnswer: 80384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-80)\/(-12) + (-2)\/3. Suppose 3*w = j - 12, j + 5*w = -0*w - 20. Suppose 4*f + 2*z - 18 = j, 6*f - 5*z = 3*f - 19. Solve -f - g = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 3. Let r be p(-4). Let s be 9*(12\/(-9) + r). Sort -4, s, 3 in descending order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3418112 or -3418110?\nAnswer: -3418110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3417 = -4*d + 3*o, 5*d + 5*o = -0*d + 4315. Calculate the remainder when d is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 - 12 = 0. Let h = d - 11. Calculate the remainder when 14 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1243413?\nAnswer: 1243412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -347\/3. What is the common denominator of j and 45\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-255)\/(-2)*36\/4005. Is h smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 12*q**2 + 18*q + 17. Let g be p(-13). Let n = -81 - g. Let z = -26 - n. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 16*t**2 + 3*t - 122. Let c be u(-6). Let k(g) be the third derivative of 49\/2*g**3 - 7\/4*g**c + 0 + 1\/20*g**5 + 0*g - 22*g**2. Factor k(y).\nAnswer: 3*(y - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 7*q + 41 = 0. Let j = 74 - q. Let b = 35 - j. Calculate the smallest common multiple of b and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3809?\nAnswer: 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o**2 + 0*o)*(-o**2 + 0 + 0) + 3*o**3 + o**4 - 3*o**3 + 0*o**4 + 5*o**4 - 3*o**4 + o**2 + o**4 - o**2 - 19*o**4 + 20*o**4 - o - o + 1.\nAnswer: 6*o**4 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58.5 - 59.0784. Let r = 0.0334 + d. Round r to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (-11)\/2)\/(6\/8). Let d be (-4)\/(-8) - 70\/(-4). Let x = 13 - d. Is x bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*a + 14 = 9, 0 = 2*m - 2*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, x: 3, k: 3, q: 1, o: 2, m: 3}. Give prob of picking 1 o and 2 x.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 17. Let m be d(4). Solve m*c = 5*o + 30, o - 3*c - 3 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -21*c**2. Let o(h) be the first derivative of -122*h**3\/3 + 608. Give w(o(g)).\nAnswer: -312564*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 60 = -72. Let k = -26 + y. Suppose -4*s + k = 5*x - 20, 2 = s. Solve x*w + 9 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-25)\/164 - 0. Let t be (15\/(-410))\/(154\/(-8869)). Let p = t - g. Calculate the common denominator of p and 113\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 11. Is 29 a factor of 1*(x + 114 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 539970926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 10*c**2 - 2*c - 21. Let f be t(-8). Let z = f + -10. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i + 1. Let t(c) = -10*c - 1. What is -3*g(u) - 4*t(u)?\nAnswer: 13*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -c. Let h be (8\/(-6))\/(c\/6). Let p(a) = 870 - 266 + 2*a - a - 331 - 270. Give p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193905 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = b + 4, -79*b = 4*u - 80*b + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from uuuupuuupuuuuuuuuuu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 9*c + 4 - 6*c - 4*c**4 + c**4 - 5 to the form y + f*c**3 + z*c**2 + t*c**4 + d*c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9546, -38189, -85930, -152769, -238706, -343741, -467874?\nAnswer: -611105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 31*f - 1. Let c(z) = -5*z**2 + 34*z - 3. Let l(q) = 5*c(q) - 6*y(q). Calculate l(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 - 3*v**2 + 3*v + 2. Let j be u(3). Let y = 58 - j. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**7\/21 + 5*w**6\/6 - 4*w**4\/3 + 55*w. Find the third derivative of y(p) wrt p.\nAnswer: -120*p**2 + 600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/5 + 1462*a**3\/5 - 7386*a**2\/5 - 3830*a - 10304\/5 = 0. Calculate a.\nAnswer: -736, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/42445 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 569\/90?\nAnswer: 569\/90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = a + 1, 0 = 5*a - 5*t. Suppose 2*q - 15 + 7 = 0. Sort q, 1, a.\nAnswer: 1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/7, 0.06, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152869277.\nAnswer: 11, 31, 67, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2496 = -4*r - 2*r. Let d = 457 + r. Calculate the remainder when 612 is divided by d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 105. Is u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 799\/535 + -10\/107. Let b = 4487\/2490 - 1\/498. Find the common denominator of b and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148332473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 2\/9, 2\/11, 16, 684, -39, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/7 + 10\/7. Let l*o + 2\/7*o**2 + 0 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 16*h**2 + 1. Let s(t) = -13*t**3 - 453*t**2 + 10. Calculate 5*i(r) - s(r).\nAnswer: 3*r**3 + 373*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 3 + 1)*(10*g - 2*g + g) + 2*g - 5 - 3*g + 3)*(0*g + 0*g + 5*g).\nAnswer: 400*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4)\/(-8)*-6 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -479\/28 - -8087\/476. Let f = 3.1 + -3. Let w = 0 - f. What is the closest to w in k, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -504*j**5*l + 5*j**4*l - 125*j**2*l - 2*l wrt j?\nAnswer: -30240*j**2*l + 120*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.00074l to millilitres.\nAnswer: 64000.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 2*f**3\/3 + 34. Let w(o) = -112*o + 196. Let j(r) = -7*r + 12. Let c(u) = 49*j(u) - 3*w(u). Calculate c(k(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 4, x: 6, g: 1}. Give prob of sequence vx.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1. Let m(g) = -7*g - 5. Let a(f) = 5*b(f) + m(f). Let c(i) be the first derivative of -3*i**2\/2 + 26114. Calculate c(a(y)).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23651.1 and 17?\nAnswer: 402068.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25914 + -26022.03. Round u to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 9 = 16*o. Suppose -92 = -o*w - 14. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/104424 and 69\/69616?\nAnswer: 208848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2480*s - 2481*s + 5*k + 21 = 0, 25 = 5*s - 9*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0507 - -0.1493. What is the closest to 2 in -1\/2, 0.4, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 3, v: 6, b: 1, c: 2}. Give prob of sequence bcc.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 + -6. Let p = k + 1.899978. What is p rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q - 41. Let w be n(-14). Let c(k) = -3*k + 5. Let h be c(w). Solve -m = -3*m + h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 + 0 - 1 - 16*f**3.\nAnswer: -23*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 107 - 97 - -109.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 - (-835580)\/(-44772) - (-6)\/(-117)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 3*z. Let w(x) = -x**2 + x. Let c = -128 - -129. Calculate c*u(q) + 4*w(q).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -6)\/1*(-3)\/9. Let o be 1880\/6*(-2 + (l - -7)). Suppose 2*z + z = 4*i + 1411, 0 = 4*z - 4*i - o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-18) - (2 - (-563)\/(-6)). Let d = i + -72. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.29 (b) -2 (c) 601\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10217, -20457, -30723, -41015, -51333?\nAnswer: -61677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -36*j**2 + 572*j + 64 = 0.\nAnswer: -1\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 2*o**3\/3 - 4. Suppose -5*k - 21 = 2*i, -3*i + 1 = 4*k - 3*k. Let g(b) = 0*b + b - i*b. Determine g(q(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 5*c = -4*k + 112, 22 = k - 4*c. Calculate the highest common factor of 20 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1531 + 5?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259124911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*567\/108 + 19. Let w = -11 + -10. Let x be (-2 + 0)*7\/w. Sort x, 0.4, q in descending order.\nAnswer: x, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.839946065 + -1.8401. What is q rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10168.978 to the nearest one hundred.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 26*p**2 + 20*p - 216. Is d(19) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**4\/6 + 19*s**3\/3 + 3291*s**2. Give l(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - u - 1 - 6, -39 = -4*g - 3*u. Let l = g - 4. Calculate the common denominator of 2 + 154\/20 - l and -19\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/3 + 756*w**4 + 2264*w**3\/3 - 756*w**2 - 2266*w\/3 = 0 for w.\nAnswer: -1133, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1293266 by 13.\nAnswer: -99482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27\/12 - (-6 + (-8)\/(-1))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -170, -4, 2, 81, -3 in increasing order.\nAnswer: -170, -4, -3, 0, 2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.09, -0.143, 1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g**3 + 2*g - 2*g)*(3 - 3 - 2*g + (g + 5*g - 2*g)*(1 + 2 - 5)).\nAnswer: -110*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*o = 8, -5*d + 10 = -5*o + 25. Suppose -d*q + 4*f = -q - 32, -f = 4*q - 196. What are the prime factors of q\/6 + -2*1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1020646*s*w**3*z + 2022*s + 10*w**3 + z - 713 wrt w.\nAnswer: 3061938*s*w**2*z + 30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 425 * -286417.\nAnswer: -121727225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27 - 12) + (-2 - -1). Let u = c - -70. What is the greatest common factor of 75 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/4 + 37*z**4\/4 + 45*z**3\/2 - 241*z**2\/2 + 551*z\/4 - 195\/4 = 0?\nAnswer: -5, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(245).\nAnswer: -14*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4927\/4201 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4361?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-d - d + 5*d)*(-64*d + 35*d + 47*d) to the form z*d**2 + j*d + h and give z.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7715?\nAnswer: 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8322771, -33291049, -74904845, -133164159, -208068991, -299619341, -407815209?\n\"Answer: -8322759*z**2 - z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = -t + 29, -5*t + 93 = -3*y. What is the units digit of (501 + 0)\/(t\/6 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.0756 centuries in years?\nAnswer: 11007.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -87, -99, -73, 3, 141, 353?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/144 and 79\/310512?\nAnswer: 931536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*z + 4*a - 2379, -4*z - 3*a + 3172 = 0. List the prime factors of z.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 9*j + 4. Let s be d(9). Suppose -3*u + s*u = 5. Solve -5*b = m + 25, u*m + 4*b = 3*b - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - (13 - 100)) + 17 + -44.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + 3*x**4)*(2 + 3 + 0)*(-3*x + 4*x + 2 - 4).\nAnswer: 15*x**5 - 30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(468))**2*-1.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 18*f**2 + 38*f - 26. Let h be y(-20). List the prime factors of 26\/6 + (196\/21)\/h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - 2*l)*(-l**2 - 1 + 1) + 15 - 10*l**2 + 3*l**3 - 15.\nAnswer: 5*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 - 4. Let p be z(-2). Suppose p*d - 11 = 21. Solve -d*t + 2*m + 8 = 0, 2*t - 6*m = -m + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -142) + -1 + (-15 - (4 + -10))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000454238 to 7 dps.\nAnswer: 0.0000454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -13. What is the remainder when (2 + (-8)\/h)*69 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 11 = 3*r - a, -4*r = 3*a - 18. Suppose -b + 5 = r. Suppose -b*o = -9 - 9. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o + 34. Let d(y) = -8. What is a(p) + 3*d(p)?\nAnswer: -9*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**3\/3 + z**2\/2 + 2*z. Let t(v) = 0 - 4*v + v**2 + 4 - 3*v. Let j be t(5). Let r(x) = 2*x + 1. Determine j*b(n) + 5*r(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(17) + 2 + sqrt(17))*-6*3)**2.\nAnswer: 64800*sqrt(17) + 583200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7147369 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140.7 + 141. Which is the second biggest value? (a) 1.3 (b) p (c) 2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -27832\nAnswer: 166992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 7*z - 4*z + 5 - 2*z**2 to q + r*z + s*z**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3a6 (base 14) to base 4\nAnswer: -23132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2203*j**3*m**3 - 26*j**3*m**2 + 406525*j**3 + 176*j*m**3 - 65*m**3 wrt m.\nAnswer: -13218*j**3 + 1056*j - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 3*p**2 + 7*p + 2. Let h be l(4). Solve 19*j = h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.8. Let i(x) = -x**3 + 5*x**2 - 2*x - 4. Let w be i(4). Suppose -w*y - t - 32 = -5*t, -3*t + 4 = 2*y. What is the nearest to 1\/4 in s, -3\/7, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 567, 1597, 3105, 5091, 7555?\nAnswer: 10497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2\/5 - 624*b\/5 + 627\/5 = 0. What is b?\nAnswer: -209, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6389 + -2.8333. Let l = q + -0.0156. What is l rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 814283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (18 + -12 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1488 = -4*x, x - 3*s = 152 + 218. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and (-15)\/25 - 432\/(-20)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/13 + 31865120*p\/13 + 126923234076800\/13 = 0. What is p?\nAnswer: -7966280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 + -2.44. Let z = 0.1400011 + y. What is z rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*f**3 + 281*f**3 - 561*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76232, 153962, 231692, 309422, 387152?\nAnswer: 464882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((14768\/468)\/(-71))\/(2\/(-9)). Which is the closest to l? (a) 28 (b) 1\/3 (c) 0.02 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/(-27))\/(-5) - 20\/(-9). Suppose -13 + 1 = 2*v + 2*u, -v + 3*u + r = 0. Which is the biggest value? (a) v (b) 1\/3 (c) -0.3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6625566 and -43\/7729827?\nAnswer: 46378962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 76, 220, 364, 508?\n\"Answer: 144*g - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -15, -3\/2 in increasing order.\nAnswer: -15, -3\/2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -788639 to the nearest 1000.\nAnswer: -789000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -26. Is (-15)\/(-1 + x) + 4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -201, -199, -197, -195, -193, -191?\n\"Answer: 2*n - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873088 to the power of 1\/2, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(405) + 3)*-4.\nAnswer: -36*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in decades?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3627 - -0.1373. What is the biggest value in -272, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 9 = 0. Let p be 42\/(-6 + -1)*23\/(-69). Solve 5*a - p - k = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*s, -8 - 5 = p - 2*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6323378025?\nAnswer: 3, 5, 4093, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k\/(k\/(k\/k**(-2))))\/k**8*k*k**(-2\/19)\/k*k**(-2\/9))\/((k*k**0)\/k*k*k*(k\/(k*k**(2\/11)))\/k*((k**7*k)\/k*k)\/k**(-6)) assuming k is positive.\nAnswer: k**(-32251\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**6\/60 - k**5\/60 - k**4\/24 + k**3\/6 + 5*k**2. Calculate p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Solve 5 = -i*s - s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163243410 (base 7) to base 4\nAnswer: 222112303200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 43 + 6*r**2 - 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 163, 284, 417, 562, 719, 888?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 12 = 6*l. Suppose -l*u + 4*u = 0. Suppose 4*g - 2*g - 88 = u. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/768 and -23\/95488.\nAnswer: 286464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/6)*c)**41*((c\/(c\/(c\/c**(-1\/7))))\/c)**48)**8 assuming c is positive.\nAnswer: c**(9188\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**3 + 8*x**3 + 2*x**3 + 1 + 39*x**2 - 7*x**3 - x**4 in the form s*x**2 + c*x + b*x**3 + d*x**4 + f and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -182 + 114 + 81 - (-44 - ((-4 - -1) + 0))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*(sqrt(153) - (sqrt(153) + sqrt(153)*-3) - sqrt(153)) - sqrt(153)))\/(((-4*sqrt(162))\/sqrt(3))\/sqrt(6)).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 18 = -2*w, 2*w = -v - 17 + 11. Let r be (-22 - 28)\/(v\/10). Determine n, given that -5\/3*n**2 - r + 50\/3*n = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 11*t**2 - 25*t + 7. Let z be 51\/5 + 6\/(-30). Is y(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -46. Let r = 44 + c. Let n(y) = r - 8 - 4 + y + 4. Calculate n(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53753 and 7399?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60855*h - 60580*h + 825 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24386.\nAnswer: 2, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 6*z**2 - 19 + 4 + 15*z. Let x(t) = -4*t**2 - 14*t + 14. Suppose 3*i - 36 = 9*i. Let n(o) = i*p(o) - 7*x(o). Factor n(v).\nAnswer: -2*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-387)\/38313)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 3*d - x = -4, 5*x + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 169a3?\nAnswer: 16999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 20568752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 18*o - 90. Let m be q(4). Let b(r) be the second derivative of 1\/28*r**4 + 0*r**2 - 1\/14*r**3 - m*r + 0. Factor b(y).\nAnswer: 3*y*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1485351884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 980?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 122672*w\/3.\nAnswer: w*(w + 122672)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a - 5*k, 2*k = -2*a - 3*k - 30. Let x(v) = 3*v**2 - v - 16. Is x(a) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 677, 619, 521, 383, 205, -13, -271?\n\"Answer: -20*y**2 + 2*y + 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 11, 0.5, -2\/17, 411.5, 1.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from denhidncnihdhhnhdih?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven halves of a centimeter?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23190, -92714, -208588, -370812, -579386, -834310, -1135584?\n\"Answer: -23175*d**2 + d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + -20 + 0 + (48 - 33)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 998696 - 245112 = -3*t, -i - 5*t + 376753 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 444.243 + -0.243. Is f at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbkbbbbbbbbkbbkbbb. What is prob of sequence bkk?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 5*d - 48. Let u be g(-10). Suppose -u*l - 2*l = l. Let z = -385\/12 - -32. Are z and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 4*t**2 + 5*t + 5. Let d be y(5). Suppose 0*w + d = 3*w. Suppose 0 = -0*z - 4*z + w. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 14. Suppose 2*n + 3*n = 4*w + 40, 5*w = 4*n - 50. Let x be t(w). Let z = -6 - x. Put z, -1, 0.1 in decreasing order.\nAnswer: 0.1, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdffffdffddffd. Give prob of sequence ddf.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 8 + 0 + -1. Suppose 36*o - 175 = 29*o. Suppose -4*c = -5*x - 1 - o, 2*x = -c. Solve -j - 4*z = c*j - 36, b*j - 4 = 3*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 3*p, -2*q + 4*p - 2 = -p. Let o be (-3)\/(-2)*(q - 1). List the prime factors of (2\/o)\/(1\/(-18)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/15)*(n**3\/n)\/n)\/(n*n\/(n\/n**4)*n\/(n\/((n\/(n**(-2\/5)\/n))\/n))) assuming n is positive.\nAnswer: n**(-83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 317 and 5049.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((-2 - (6 + -4)) + -4)) + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(20) - 3*sqrt(20))*-6)\/sqrt(4))**2 + 3.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 5:47 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009503 rounded to 5 decimal places?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/((-1)\/(-5)). Let w = 35.7 + -39. Let b = w - 0.7. What is the nearest to -1\/4 in b, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4831*h**3 + 0 + 38006*h**3.\nAnswer: 42837*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/25))**(-25)*f**29\/f**(-19\/2) assuming f is positive.\nAnswer: f**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 10) to base 4\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 48 + 3*l - 3*l + l - 3*l**2 - 1 to w*l**2 + b*l + y and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l - 132096 - 257084. Is l a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*p = -170*p + 130. Put -5, 25, 2, p in decreasing order.\nAnswer: 25, p, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-28.79\nAnswer: -57.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2260596, -4521149, -6781698, -9042243, -11302784, -13563321?\nAnswer: -15823854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 8*y**2 + 7*y + 4. Let j be d(7). Suppose -q = -j*c + 7*c + 11, 3*q = -5*c - 13. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 416 + (-1 + -2)\/((-13)\/(-39)). Calculate the highest common factor of 37 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:56 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-14)*55587\/(-29117)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 95*l + 8799. Let g be w(-62). Is 2909 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -4*a + 4, 17*v = 5*a + 7*v - 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 29*j**2 - 16*j - 2. Let x(m) = 24*m**2 - 15*m - 1. Determine 3*q(s) - 4*x(s).\nAnswer: -9*s**2 + 12*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:06 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 1\/10*k**4 - 28*k + 0*k**2 - 9\/70*k**7 + 0 - 3\/100*k**5 + 0*k**3 - 6\/25*k**6. Suppose u(s) = 0. Calculate s.\nAnswer: -1, -2\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50*(18\/3)\/1. Let b = 303 - c. Calculate the highest common divisor of b and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5)*(3 - 1). Let n = t + 3\/5. Let u = -11 + 16. Which is the biggest value? (a) n (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020020001220 (base 3) to base 16\nAnswer: 9fa8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:20 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) -1 (b) -3 (c) 1 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(4*o - o - 4*o) + (3 - 13 + 1)*(0 + 2*o + 0) in the form k*o + r and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**3\/6 - k**2\/2 - k + 6. Let b(r) be the first derivative of t(r). Determine b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 11*g - 27. Let n(k) = -8*k - 154. Calculate the lowest common multiple of n(-20) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbsasbaa. Give prob of picking 1 a, 2 b, and 1 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 44 in decreasing order.\nAnswer: 44, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14122 - 14081. Calculate the remainder when 16192 is divided by h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 10*r**2 - 6*r - 6. Let y(j) = j**3 + 19*j**2 + 11*j + 11. Let h(d) = -11*v(d) - 6*y(d). Find the third derivative of h(p) wrt p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 5*g + 1. Let c be h(-4). Let s(b) = -b**3 + 8*b**2 - 14*b + 20. Let j be s(6). Suppose -c*i = -j*i - 1855. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 29) + 1 + (1 - 10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/(75\/525)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0*p**2 + 12 + 19*p + p**3 + 12 + 20*p**2. Let m be s(-19). Sort 5, -3, m in decreasing order.\nAnswer: m, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 times -45\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6041.46541 rounded to 0 dps?\nAnswer: -6041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111768 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 3 + 4*g - 4*g - 32*g**2 to z + v*g**2 + r*g and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1896865 and 2922.\nAnswer: 11381190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/13 + 440*p**3 - 68226*p**2\/13 - 359828*p\/13 + 2791040\/13 = 0. Calculate p.\nAnswer: -7, 5, 14, 2848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 36174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*6*((sqrt(605) - (1 + sqrt(605)*-1 - sqrt(605)))**2 - (-3*(sqrt(605)*-1 - sqrt(605))**2 - sqrt(605))).\nAnswer: -990*sqrt(5) + 228709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476*l - 239*l = -138*l + 11039 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2231.3 - -0.006.\nAnswer: -2231.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/392?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8699357 + -12829357. What is k rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(11))*4 + -2*-5*sqrt(11)*1.\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 89, -98, -1, 6, 35.\nAnswer: -98, -1, 4, 6, 35, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*b + 2*j, 3*j + 17 = 2*b + 4. Let n = b + -7. Let a = -3.3954 - -3.2954. Sort a, n, 1\/2.\nAnswer: a, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**4\/12 - m**3 + 4*m**2. Calculate o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96877708 or 96877707?\nAnswer: 96877707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 12. Which is the nearest to 0? (a) w (b) -1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559910286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 42*f**2 + 161*f - 1750. Let k be i(17). Calculate the highest common factor of k and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -528 in 1, 37, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -375*i**4\/2 + 755*i**3 - 1165*i**2\/2 + 15*i = 0. Calculate i.\nAnswer: 0, 2\/75, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - 227 = z, -2*g + 457 = -5*z. Suppose -g = -5*m - 86. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/12*-2 - -98485. Is 12 a factor of -2*(-1)\/(-3) - d\/(-126)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3222?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532827752.\nAnswer: 2, 23, 31, 109, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2994 is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1564727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 11101101100?\nAnswer: 11101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1013*h - 911*h + 2079*h)*(h**4 + 2*h**4 - 4*h**4) + 6*h**5 - 2*h**5 - h**5.\nAnswer: -152*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 510.6 + -510.14808. What is c rounded to three decimal places?\nAnswer: 0.452","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drh when three letters picked without replacement from rhkjdkjfkdjj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -143, 455, 2229, 5611, 11033, 18927, 29725, 43859?\n\"Answer: 72*a**3 + 156*a**2 - 374*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**3 - b**2 + 8*b**3 - b + 2*b**4 + 14*b**2 to i*b**4 + x*b**3 + o*b**2 + r + l*b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108774.\nAnswer: 2, 3, 518129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/21 in -9.5, 0.5, -37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.07771 + -65?\nAnswer: -156.07771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 70*l - 18. What are the prime factors of b(4)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56982653747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0325 + -0.02937. What is y rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2 - 105115*n - 16483350 = 0.\nAnswer: -20865, -158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-361)\/(-38)*1\/19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3777392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*v**2*x + 2*v**2 + 11*v*x - 3*v - 6*x wrt v?\nAnswer: -68*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:11 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*m + 5 = 0, -u = -0*u - 3*m - 17. Let d(q) = -3*q - 10. Let s be d(-4). Which is the second biggest value? (a) s (b) u (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13 - -14 - (-3 - 1)\/(-2). Let x be (3 + c - 97)*4\/10. What is the common denominator of (45\/6)\/(3 + 96\/x) and 73\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezzz. What is prob of sequence zz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(p**3 + 2*p**3 - p**3) - p**3 + 4*p**3 - 4*p**3 + p**3 + p**3 + p**3 - 33*p**3 + 14*p**3 - p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*d + v, 58*d - 57*d + 3*v + 14 = -7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emmh when four letters picked without replacement from mhmmhhehmmm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 2*h**7\/3 - 6*h**6\/5 + 2*h**5\/5 + 13*h. Find s such that y(s) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 36. Let p(c) = -5*c**2 + 5*c + 7. Let g(m) = -13*m**2 + 10*m + 15. Let t(y) = -2*g(y) + 5*p(y). Is t(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -w. Suppose -s - s + 4*k + 22 = 0, -w*s + 5*k = -24. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208.53 - 209. Let c = 1.4 + -1.85. Let b = u - c. Round b to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 4. Let f be q(-4). Let t(a) = 4*a**2 + 3 - 3*a**2 + 2*a + f - 4*a**3. Let n(v) = 17*v**3 - 4*v**2 - 9*v - 13. Determine 2*n(u) + 9*t(u).\nAnswer: -2*u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 108?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1207436 + 5?\nAnswer: -1207431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c - 16 = 0. Let r = -5 + c. Is r > -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose 2*x - m*q = 1, -4*q - 5 = -x - 2. Let d = -2 + 1.9. Which is the nearest to x? (a) d (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 3. Let b(x) be the second derivative of -x**3\/6 - 7*x. What is -2*b(j) - w(j)?\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014607 times 19?\nAnswer: -19277533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 655483555 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*o**3*s**2 - 1294*f*o**3*s + 2*f*o**2 + 23411*f*s**2 - o**3*s - 13*o*x + 8*s**2*x + x + 1 wrt s?\nAnswer: -2*f*o**3 + 46822*f + 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26757538 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.11 + -2.376. Let g = w - 607.734. Let j = -608.0271 - g. What is j rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*111\/1221\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 88093 - 89980 + y - 88094 + 266167.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, -1, 23, 0 in descending order.\nAnswer: 23, 3, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4 + 1. Let n = a - -1. Let w(o) be the second derivative of o**4\/4 + o**2 + o - 298. Let k(l) = 7*l**2 + 5. What is n*k(b) + 9*w(b)?\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 46. Let m be d(-19). Solve 4*k - 4*r = -m, -r + 0*r = -3*k - 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 19*o = -57. Solve -b = -3*x - o, -2*b + x = -b - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22638284 to the nearest integer?\nAnswer: 4758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10*p = -5. Let t be (-21)\/(-4) + p\/(-4). Solve 2*q - t*b - 16 = -2, 0 = 5*b + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = 3*i - 12*i. Suppose 5*u = l - i, 4*u = -4*l - 80 + 368. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7698 is divided by 3691?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6566 and 60123.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4\/3 + 9*f**3 + 74*f**2\/3 + 16*f = 0.\nAnswer: -24, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04742173 + -0.273?\nAnswer: -0.32042173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20984872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 552038 from -1.\nAnswer: -552039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**2 + 44*j + 463. What are the prime factors of k(-20)?\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 0*a**2 + 4*a**2 - 2 + 0*a**2 + 2*a. Calculate the remainder when 1 + (0 - 2 - -43) is divided by v(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284472 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b08 - 4?\nAnswer: b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, -1\/16 in ascending order.\nAnswer: -5, -1\/16, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 4 - (3 - 19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 7580243.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 2*r**2 - 4*r + 3. Suppose -2*q + n = -1, -4*n - 9 + 15 = -3*q. What is i(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*2)\/(4\/(-8)). Let t(h) = 26*h - 9. Let k(f) = 9*f - 4. Let b(o) = -8*k(o) + 3*t(o). Determine b(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -20. Calculate the smallest common multiple of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21847.22kg to micrograms.\nAnswer: 21847220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 4) to base 12.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.7 + -27. Let f = -0.11 - 4.89. Let w = -1 - f. Which is the second smallest value? (a) -1\/3 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 3*a = 6, -5*a = 5*u - 4*u - 28 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = 18*s - 17 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*g = 46, -g - 30 = -y + g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8500647 to the nearest integer?\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 0)*(-1769)\/305. Which is smaller: x or -13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r. Let c(q) = -20*q**2 + 335. Let h(f) = -26*f**2 + 446. Let v(x) = -9*c(x) + 7*h(x). Give v(n(g)).\nAnswer: -242*g**2 + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -9) + -10 - -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 y when three letters picked without replacement from glynyyyyn?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 53*o + 206. Give h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.6 times -4?\nAnswer: -54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.829225 rounded to three decimal places?\nAnswer: -1.829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 23.4 (c) 1\/6 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4479 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let a = 7984165\/3 + -2661388. Let -2\/3*m**2 + 1\/3*m**3 + 0 + a*m**4 + u*m = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - j**3 + 2*j**2 + (-96*j + 112*j - 64*j)*(-2*j**2 + 3*j**2 + j**2) to y + v*j**3 + q*j**2 + t*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p - 1. Let q be u(1). Let f = q + -3. Let x(z) be the first derivative of -3*z**2\/2 - z + 1342. Let r(j) = -j**2 - j + 1. Determine f*r(b) - x(b).\nAnswer: -2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2866700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1290.1 (b) -0.5 (c) 3 (d) 76 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 1:08 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40522.\nAnswer: 2, 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*n**4 - 72745*n**3 + 34295576*n?\nAnswer: 1044*n**2 - 436470*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177003.\nAnswer: 3, 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 113*q - 2. List the prime factors of y(1).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4139391?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -12111020?\nAnswer: 12111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (-1*sqrt(2057) + sqrt(2057) + 2)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 356 divided by 4\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5851489 = -63*n - 13*n + 609195. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4\/2 - 105*a**3 + 1353*a**2\/2 - 588*a - 1368 = 0.\nAnswer: -76, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:26 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87862349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -5, 876 in descending order.\nAnswer: 876, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8060)\/(-70) + (-1)\/((-7)\/(-1)). What is the greatest common factor of u and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 19*k**2 - 2*k + 2. Suppose -z - z = 14. Let p = z - -4. Is u(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.728 - -2.028. Suppose 3*z - 7 = 4*t, 3*z - t = -2*z - 11. Which is the closest to j? (a) -2\/9 (b) z (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.21 plus 0.3?\nAnswer: -251.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -42 - ((1 + 26 - 3) + -1 + 0).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 146 = -5*n - 9*o, 50 = n - 5*o. Suppose 78 - n = 16*z. Let w = 2 + 0. Solve -3*u - b + 8 = 0, -w*b = -z*u + 2*b - 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65654681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1469, -14664, -51321, -123170, -241941, -419364?\nAnswer: -667169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001111111 + 101?\nAnswer: 11010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 491810 and 2618.\nAnswer: 3442670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*t - 25, -5*l + 234 = 209 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*b - 115*b - 177 + 51 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 + 6*x + 3. Suppose 3*g - 12 = g. Let h be u(g). Let r be (-18)\/15*(-10)\/h. Solve -f = r*j - 8, -j - j - 14 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + b. Let t be c(0). Let h = -19 + 15. Put h, -1, t in increasing order.\nAnswer: h, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1024 and 157\/262656?\nAnswer: 525312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7 + 33 = 0. What is the units digit of 206\/t - (-12)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 21702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 divided by 25820?\nAnswer: -53\/5164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2*z - 5 + 26, -43*n + 4*z = -993 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196265 is divided by 187?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 90.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17644 divided by -4411\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1301 = -3*b - y, -b - 3*y = 2*b - 1299. What are the prime factors of b?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171737 and 62999.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by 6.\nAnswer: 125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = -2*z + 8, -2*z = 4*x - 20. Let o be (185\/10)\/((-2)\/4). List the prime factors of (-2)\/(-3) - o\/x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-156)\/147 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -933 - -900. Let p = j + 163. Calculate the greatest common factor of p and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 3*s + 0*s)*(-s**2 + 3*s**2 + 4*s**2) + 2*s**3 + 4*s**3 - 4*s**3 to n*s**2 + d*s + r + i*s**3 and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 + 2*u - 1. Suppose -3*h + 2 = m, h - 3*m = -2*m - 6. Let r be 1\/(1\/(-1)*h). Let a be p(r). Solve 5*w = -g + 8, a*w - 4*g = g + 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140972976*s**3 - 294771543 wrt s.\nAnswer: 422918928*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14065 + -14064.5. What is the fourth biggest value in 6, -1\/4, x, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/2, -0.2, 179217, -1.\nAnswer: -1, -0.2, 1\/2, 6, 179217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Suppose 5*g + 2 - 27 = 0. What is the second derivative of -s*y - y + g*y + y**4 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13*g**3 - 9*g**2 - 4*g + 17. Let o(c) = 3*c**3 - 2*c**2 - c + 4. Calculate -2*h(q) + 9*o(q).\nAnswer: q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -33*z - 126. What is r(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94847, -189420, -283993, -378566?\nAnswer: -473139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*sqrt(175)*1 + (sqrt(175) - (-3 + 1*sqrt(175))) - (-1 + sqrt(175)*3)*4)**2.\nAnswer: -1050*sqrt(7) + 39424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 855527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -5*z**4\/4 + 8*z - 4. What is the derivative of g(k) wrt k?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7 + 4 - 2*r**2 + 3*r**2. Let h be c(3). Differentiate -23*w - 8 - h*w**2 + 23*w with respect to w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*z + 5)*(-1 + 3 - 4) + 4*z + z - 3*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -259, 3, 1, 0 in decreasing order.\nAnswer: 3, 1, 0, -4, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/580 and -7\/80.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107547929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Suppose 3*i - 2*q - 4 = u, 2*q + 12 = 6*i - i. Let o(l) = -4*l**2 - 4*l - 20 - 37 + 2*l**3 - l**3 + l**2 + 56. Calculate o(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2*r**5\/5 - r**4\/12 - r**3\/6 - r**2\/2 + 7*r - 1. Let c(m) be the first derivative of l(m). What is c(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/(-5) + (0 - 3). What is the tens digit of 2*(-2)\/4 - t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 5931.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-15*(-6)\/99.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8*h = -9606. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2822.818 weeks?\nAnswer: 19759.726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-2 + 2 - -1))\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 3. Let t be q(-2). Let n(w) = -w**2 + 3*w. Let i(j) = -4*j**2 + 10*j. Suppose -3*a = -41 + 11. Give a*n(d) + t*i(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12136210 and 1450?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/10 + 2433*f**2\/10 + 1973163*f\/10 + 533411731\/10 = 0. Calculate f.\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - ((-125)\/30 + 6 + -1). Let y(z) be the second derivative of 0 + 0*z**2 - n*z**3 - 6*z. Let l(x) = 3*x**2. Give y(l(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 11*c**2 + 5*c - 1. Suppose 2*n + 5*n = -35. Let q be z(n). Let i(u) = u - 12. Let d be i(7). Put d, 0, q in increasing order.\nAnswer: d, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 319 + -302. Let c = -0.42 + 18.42. Let t = c - j. What is the closest to 1 in t, 4, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 9*l**3\/2 - 9354*l**2 + 12465*l\/2 + 3117 = 0?\nAnswer: -1\/3, 1, 2078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 + z**3 - 299*z**2\/12 + 22*z\/3 + 121\/4 = 0 for z.\nAnswer: -3, -1, 11\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -4 (c) -414191 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 272, 753, 1788, 3569, 6288, 10137, 15308, 21993?\n\"Answer: 32*i**3 + 85*i**2 + 2*i + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 121\/(-4) + (-3)\/4. Let d = 15 - q. Suppose -5*s = -d - 289. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*g + 8*g + 334782. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) 0.5 (b) 0.3 (c) 0.2 (d) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + q**3 + 3*q**2 + (-5*q**2 + 0*q**2 - 15*q**2 + (0 + 0 - 2*q**2)*(0 - 4 + 2) - 6*q**2 - 6*q**2 + 4*q**2)*(2*q + 2 - 2).\nAnswer: -47*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7747?\nAnswer: 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2*1\/3). Let w(t) = 10*t**2 - t. Is w(n) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3576512 and 9744.\nAnswer: 75106752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320187731?\nAnswer: 3, 31, 653, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -4, 6\/5, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110 + 333 + 447 - 157*p**4 - 135*p**4 - 618*p**4 wrt p?\nAnswer: -3640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 - 40. Let h(d) = d**2 + 21. Let p(a) = -7*h(a) - 4*n(a). Differentiate p(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 92*s**2 + 103*s + 1084. Let d be g(-91). Let i(b) = -2*b + 15. Give i(d).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*x - 999 = 0, 4*x + 1618 - 616 = u. Let y(i) = -i + 9. Let q be y(7). Suppose 5*o - g = u, 0*g - 409 = -q*o - 3*g. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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 1060*u - 32590*u + 186957 - 19612 + 242545 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 26. What is z(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/7 - 148*v**2\/7 - 12154*v\/7 + 12300\/7 = 0 for v.\nAnswer: -50, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -846294, -1692557, -2538814, -3385065, -4231310, -5077549, -5923782?\n\"Answer: 3*n**2 - 846272*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1418, -1\/7, 3\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98352733.\nAnswer: 163, 603391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27 + 3*4\/(-6). Suppose 95 = -16*y + 21*y. Let i = v - y. Solve -2 = 2*r + 3*u - i, -4*r + u - 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((w**0\/w*w)\/w))\/w)\/((w\/(w**(1\/3)\/w))\/w))\/((w*w**1)\/w)**(-38))\/((w*w**6*w*w)\/((w\/(w\/w**0*w))\/w))**5 assuming w is positive.\nAnswer: w**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -12. Let z = m - -12. Let r be (-1 - 0) + 2*3. Solve r*a + 25 = -n, -3 - 12 = z*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645185, 645186, 645187, 645188?\nAnswer: 645189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185 - -303. Let c = u + -118. Is c < 5\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) -2429 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -15. Let m be d - 1 - (-1 - -3). Suppose -5*p - 49 = -2*y, -3*y + m*p + 53 = -38. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/10*320\/96. Solve -u*w + 6 - 22 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 6*t + 2. What are the prime factors of a(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/4)\/(5 - 102562\/20512)?\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1714 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*j + 188594 - 42426. What are the prime factors of j?\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(1\/5))\/z)**(-35)\/(z**(1\/5)*z*z)**(12\/7) assuming z is positive.\nAnswer: z**(-1602\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 = -n - 5*o, 4*n - 2*o = 18. Suppose -n*r + r = -48. Solve 4*a + 8 = 4*l, a + r = -l - 4*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6538 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1238*l - 201804. Calculate z(-163).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.369995005 + -14.37. Round l to 7 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35438.\nAnswer: 2, 13, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6137 a factor of 360517135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 3*n + 1\/3*n**3 - 1\/20*n**5 + 0 - 1\/6*n**4 + n**2. What is the units digit of b(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263179?\nAnswer: 7, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 5*b**2 + 2. Let r be k(-5). Suppose 18*v - r = 17*v. Let y be 0\/((1 - 0) + -2). Solve i + v*m + 6 = -y*i, -4*i + m - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12447645.1 to the nearest one hundred thousand.\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - n - 2*n + 0*n - n + 0*n + (2 + 0 - 4)*(4*n - 2*n - n))*(3*n + 3 - 3).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4) + 1\/2. Let q(z) = -2*z - 5 + 31 - 2 - 5. Let b be q(4). Put j, b, -5 in descending order.\nAnswer: b, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 73. Let o(w) be the first derivative of 0*w + 0*w**2 + 4\/3*w**3 + a. Let g(f) = f. Calculate g(o(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 32419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 7*r + 8. Let w be l(-6). Let p = w + 1. Suppose 5*b + 5*d - 3*d - 8 = 0, 3*d = 12. Solve b*q - q = p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36511 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 5*s**4\/4 + s**3\/3 - s**2 + s - 4. Let b be c(1). What is the third derivative of -2*n**3 - 4*n**2 + 2*n**3 - 3*n**b wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 19, -2, 0, -6 in decreasing order.\nAnswer: 19, 6, 0, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/12 - k**3\/2 - 5*k**2\/2 + 10*k. Suppose -16 = -5*w + 9. Calculate z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4 = f, -8*l = f - 3*l + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.006 * -17\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 263438?\nAnswer: -1\/263438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 14*s**2 + 4*s + 52. Let z be x(-14). Which is the third biggest value? (a) z (b) -17 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 18711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 + -134. What is the remainder when a is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 17 + 13. What is the nearest to 0 in -4, 8\/7, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1258266.4 - 3.3.\nAnswer: -1258269.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 16. Let p(h) = h**2 - 3*h - 7. Let t be p(k). Differentiate -x**4 + 3 + 6 - 4 - t*x**4 wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.63277 - -13146\nAnswer: 13145.36723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -804*-0.15417\nAnswer: 123.95268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -56*a + 6*a**2 - 1\/2*a**3 + 49\/6*a**4 + 0. What is the second derivative of v(q) wrt q?\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i = -19*i + 4845. What is the highest common divisor of i and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3799 - -3800. Suppose -6 = d + 5. Put -4, k, -1, d in decreasing order.\nAnswer: k, -1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*p + 3*x - 27, -4*p + 3*x = -36. Suppose 0 = 3*r - p*r + 12. Suppose -s + 5 = -1. What is the remainder when s is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i*(i**(-2\/9)*i)\/i))\/i)\/i*i)**(-13\/8))**(6\/11) assuming i is positive.\nAnswer: i**(-13\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffh when four letters picked without replacement from hhffffhfhfhhxfhxhh?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1876 + -0.187600878. What is y rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -129250*a**2*q*w**2 - 532*a**2*w**3 + a**2*w**2 + a*q*w**3 - a*w**3 + 10*w**2 wrt q?\nAnswer: -129250*a**2*w**2 + a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/11 and -38\/425.\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1201869, -1201850, -1201829, -1201806, -1201781, -1201754?\n\"Answer: k**2 + 16*k - 1201886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136609?\nAnswer: 11, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 6:34 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**2. Let v(k) be the first derivative of k**2 + 16. Let z(d) = -3*d. Let r(g) = 5*v(g) + 6*z(g). Calculate b(r(j)).\nAnswer: -704*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2663.\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -21. Suppose y - 5*s + s - u = 0, 4*y + 2*s = 198. Suppose h - y = -h. Calculate the greatest common factor of h and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.24, -0.164, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86382.\nAnswer: 2, 3, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 41 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (-24 - -23)) + 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, 1\/26, -0.008 in ascending order.\nAnswer: -0.008, 1\/26, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1508, 3204, 4902, 6602?\nAnswer: 8304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3837 + -0.4.\nAnswer: -3837.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.58 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**3 + 40*o**2 + 247*o + 3219. Give f(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 - 180. Solve -n = -a - w*n - 2, 5*a = n + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689976389 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.053714 - 0.046286. Let v be 114\/(-105) - 2\/(-7). What is the closest to -0.1 in 2\/3, i, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40442, -49458, -58474, -67490, -76506, -85522?\n\"Answer: -9016*k - 31426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -240296805, -480593610, -720890415, -961187220, -1201484025?\n\"Answer: -240296805*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1289 - 1201 = -11*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 152, -0.2, 0.22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31703933?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(0*n + 12*n - 3*n)*(-2*n**4 + 3*n**4 - 3*n**4).\nAnswer: -36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 7*z**4\/3 - 111*z**3\/2 + 36*z**2 + 35. Calculate t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96289 is divided by 1339.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*y - 38351220 + 38351215, 7*y - 16 = -g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 3*g**2 + 31*g**2.\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 477 = p - 616, 5*p - 551 = -2*k. Let l = -148 + k. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -430 by 20.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860.7494 minutes to microseconds.\nAnswer: 51644964000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8884 + 206?\nAnswer: -8679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2379116*j**4 + j**3 + 2317119*j**2 wrt j?\nAnswer: -57098784*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -127921*h**2 - 3*h. Let w(s) = 2*s**2. Give r(w(g)).\nAnswer: -511684*g**4 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -9*y**5\/20 + y**4\/12 - 2*y**3\/3 + 3*y**2\/2 - 19*y + 5. What is the second derivative of g(p) wrt p?\nAnswer: -54*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0055 + -0.009. Which is bigger: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369c (base 16) in base 2?\nAnswer: 100011011010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:36 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, m: 5, o: 2}. What is prob of sequence omll?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 2*c - c)*(-1 + 2 - 5) + (-17 + 4 - 8)*(-2 + 0*c - 3*c + 2*c) as i + f*c and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -3*h - 3, 4*o + 19*h + 6 = -5*h + 23*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149\/12 - 1985\/156. Let r(g) = g - 8. Let a be r(8). Suppose 2*x + 2*x = a. Is x <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17.5? (a) 1 (b) 11\/24 (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**3\/6 - 4*q**2 - 24*q. Let h be f(-11). What is the second derivative of -170*s + 161*s + 10*s**3 + 3*s**h wrt s?\nAnswer: 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 n when three letters picked without replacement from {g: 3, q: 4, s: 2, z: 2, n: 1, b: 8}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 - 109608\nAnswer: -109608.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.82 - 1.52. Let l = 4.5 - -1.5. Let b = 5.6 - l. What is the smallest value in d, -6, b?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -11*a**2\/2 + 286*a - 116. Does 6 divide h(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -24, -39, -54, -69, -84?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -185\/258 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/20748 and 79\/114?\nAnswer: 20748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/126)\/(21\/(-9))*45\/(-6)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85321, -171947, -258575, -345205?\nAnswer: -431837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 18. Let a be t(-14). Let n be -1*(a - 5 - 15). Is 16 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 23. Suppose -4*x - u = -14. Which is the closest to 0.1? (a) 1\/7 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 27. Is 1564\/(8\/x)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/140)\/(((-3)\/90)\/(4\/4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*a + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 1 + 24. Suppose 0 = -4*q - 4*y + 20, -4*q = q - 5*y - 5. Calculate the smallest common multiple of p and (-76)\/(-12) + q\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2 + 11*c + 4. What is v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 4. Suppose l + n = 2*l. Suppose 2*t + r = 6799996, 2*r + 2*r - 10199984 = -l*t. Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319475 and 50050?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 5*u**2 + 9. Let h(c) = 2*c**2. Let n be h(1). Let s be (-37)\/5 + n\/5. Let v(a) = a**3 + 3*a**2 - 5. What is s*v(z) - 4*b(z)?\nAnswer: z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 20*v - 30. Let m(r) = -r + 3. Let i be m(5). Let t = 6 + i. What is the lowest common multiple of x(-18) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18c0 (base 16) to base 3.\nAnswer: 22200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (34\/51)\/((-8)\/(-3828)). What is the highest common factor of 290 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 492.4928 years?\nAnswer: 5909.9136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26847 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1533)\/(-2044))\/((-4)\/((-1280)\/(-12))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377544 is divided by 288?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 + 36 = -2*q, -2*f = 8*q + 148. Find the common denominator of 10\/11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59585981\/3 or -19861995?\nAnswer: -19861995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 33. Give s(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = -0*i. Suppose -3*y + 3 = -4*y, 0 = -i*f - 5*y + 73. Is f\/12 + 1\/6 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 16) to base 5.\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 110677\/3, 401, -0.4?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (640\/100)\/(-32) + (192\/10 - -14).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/5)\/m**(-41)*(m\/(m\/m**(-30)))\/m*m**(-1\/48) assuming m is positive.\nAnswer: m**(2299\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let o(m) = 158*m. What is h(o(n))?\nAnswer: 158*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.864095 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 4. Let v = 15 + -24. Let x be i(v). Suppose -x*c + 2 + 8 = 0. Solve -2*h - 8 = c*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.188226 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -540, 6, 5, 0 in decreasing order.\nAnswer: 6, 5, 2, 0, -3, -540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(2*sqrt(1452)) + 3*(0 + sqrt(26)\/sqrt(2)).\nAnswer: 67*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 + -1 - -2. Let h be (-2 + -7 + 10)\/(-2*(-5)\/140). Put j, -1, h in descending order.\nAnswer: h, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let v be 0\/((-9)\/3) - -4. Suppose 3*b - v = -b. What is the remainder when n is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1401 + 778. Let n = -350 - r. What is the greatest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-8))\/(2\/4). Let n be (-8)\/(-20)*40\/(-66). Let w = -12\/11 + n. Are q and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*v**3 + 5*v**3 - 2*v**3 + (2 - 2 - v**2)*(-2 + 2*v + 2).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*p**4 + 176*p**3 + 26843*p**2?\nAnswer: -1608*p + 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9002877 and 2936?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 24 = -18*f - 5*p, -f = 3*p + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 5*g - 20, -4*d - 3*g + 5*g - 14 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25*-0.3\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 45 = -8*z. Suppose z*c - 36 = -0*c. Suppose -c*u = 5*v - 39 - 120, 3*u - 5*v = 93. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*p + 39. Suppose -2*r = 5*s - 262, -s = 2*s - 3*r - 153. Let g = s + p. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, 2\/7, -86?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 51628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 3, 6 in increasing order.\nAnswer: 0, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1667 (base 11) in base 5?\nAnswer: -32010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2520, -2518, -2516, -2514, -2512, -2510?\n\"Answer: 2*l - 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*12\/18. Let m(o) = 5*o**3 - 3*o**2 - 3*o. Let x(v) = -v**3. Let k(q) = n*m(q) + 6*x(q). Let s be k(-2). Do 1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {c: 4, m: 2, t: 1, k: 3, r: 3, j: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 2*l**2 - 3*l - 3. Suppose -h = -3*h. Let o be (-6)\/(h + -1 + 2). Let n = o - -4. What is q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - u. What is v(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 1386445037?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 147168.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 362 + -400 - (-114 - -13)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43 + 1983322?\nAnswer: 1983365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 126 + 0?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*w - 366 = -155*w. List the prime factors of (w + 54)*(1 + -1 - 187).\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. Let v(u) = u**2 - 2*u. What is v(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 12\/(-8)*42. Suppose -3*y + k = -589, -k = y - 271 + m. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -11*z**2. Let x(p) = 855*p**2. Give w(x(d)).\nAnswer: -8041275*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330 - 666437*u + 330.\nAnswer: -666437*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.15 (b) -173.7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/17 (b) 0.2 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iodqqsqoiqqddsqoqo. Give prob of picking 1 s and 3 o.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 9) in base 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 12. Let c(t) = t**3 + 10*t**2 + 1. Let d be c(s). Let y be 1\/d - (-1 + -14). Solve 0 = 4*v + 4 + y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5063573 is divided by 92.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 2. Let n(u) = 2*u**2 + u - 3. Let d(k) = k**3 - 52*k**2 + 45*k + 309. Let r be d(51). What is r*t(y) + 2*n(y)?\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*1*21\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m. Let y(f) be the first derivative of f**3\/3 - 2*f**2 + 3*f - 3. Let q be y(4). Let b(v) = -q*v**2 + 0*v**2 + 5*v**2. Determine b(a(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3)*(-105)\/(-10). Is d*79*(-1 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5677123 (base 8) to base 9\nAnswer: 2806021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (209*l**2 + 205*l**2 + 9*l - 420*l**2)*(3 + 2 - 4).\nAnswer: -6*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 102 - (-4069 - -4088)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3\/4 + 1968*w**2 + 7869*w\/4 = 0.\nAnswer: -2623, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235336 is divided by 33618.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 936987340*a**3 - 11605329*a + 2.\nAnswer: 5621924040*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -34\/3, 0.944, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 15. Solve 2*k = -3*k - 5*s - 20, 4*k - 2*s - q = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -5 (c) 1\/17 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188 - 185. Suppose -2*r = -0*r + 3*q, 5*q + 19 = 3*r. Does p = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15125*h - 264. Let d be t(4). Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -4) + -1 + -2. Let m be 3\/(-3) + 1\/o. Solve 5*t = 4*n - m*n + 2, 5*n + 5*t = -25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {l: 2, q: 5, n: 7, j: 4, s: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 19. Let w(j) = -j + 9*j - 4*j - 3*j + 6. Let g(s) = -8*w(s) + 3*y(s). Determine g(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636555, 636553, 636551, 636549, 636547, 636545?\nAnswer: 636543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 2) + -3 + -7 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000806329 rounded to 7 dps?\nAnswer: 0.0000806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 222*y**3\/11 - 7100*y**2\/11 - 7454*y\/11 - 12 = 0.\nAnswer: -1, -2\/111, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 413649283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 41. Let w be y(-27). Find the common denominator of 149\/12 and (-25)\/5 - (-147)\/w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 4*m + m)*(17 - 9 + 56)*(7*m - 2*m - 5*m + 28*m**3) to b*m**2 + q*m**3 + w + x*m + r*m**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10*177\/(-144) - (-7)\/21 and -143\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjjjjf. Give prob of sequence ff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s. Let r(v) = -v + 50. What is the remainder when r(23) is divided by u(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.7 - -17.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51a8 (base 14) in base 8?\nAnswer: 33360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1917 is divided by 484?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 33. Let k = 11 - i. Let o = k + 4. Is -4 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -145714 - 2?\nAnswer: -145716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and 1395.\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14064.9 + -14065. Which is the smallest value? (a) u (b) 2 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 4. Let a(p) = -7*p + 24. Let h(s) = a(s) + 6*n(s). Let v(g) = -4*g + 29. Calculate v(h(z)).\nAnswer: 4*z + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7 (b) -15 (c) 0.1 (d) -57\/7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 14*a + 36.\nAnswer: 2*(a - 18)*(a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 0.152.\nAnswer: 1.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t + 1 - 44*t + 108*t + 127*t + 102*t.\nAnswer: 274*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 0 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4102.\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 522698 and 1265.\nAnswer: 2613490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from shsssskkskhkks?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855*z - 803*z - 156 = 0. Calculate the smallest common multiple of z and 3217.\nAnswer: 9651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 2*p**2 + p + 1. Suppose 7 + 2 = -3*f. Let d be a(f). Let m be ((-4)\/(-7))\/((-4)\/56*-2). Solve -m*x - 1 = d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31666*s**3 + 31657*s**3 - 94982*s**3 + 31656*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 7*f - 48. Calculate the least common multiple of f and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -452*x + 467*x - 80610. What are the prime factors of x?\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 29 (b) 0 (c) 0.1 (d) -1580\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1883.2862 - 1883. Round l to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 - -21342?\nAnswer: 21102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**3 + 23*b**2 + 45*b - 13. Let u(f) = 6*f**3 + 23*f**2 + 46*f - 11. Let q(n) = -4*u(n) + 5*x(n). Let s be q(-21). Is -5\/12 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12657 >= 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*f**3 - 102*f**3 + 595*f**3.\nAnswer: 675*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/45, -3\/2, 4\/23, 8, -1\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1151015*h**2 + 1150079*h**2 - 2301097*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or 7704?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {m: 6, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 4*c - 3. Let x be p(5). Suppose -g + 4*r = 4, 4 = -g + x*r - 10. Let d = 73 + g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o + 3. Let f(u) = -13*u - 2. What is -6*f(k) - 4*j(k)?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*v + 8. Let p(q) be the third derivative of -q**5\/60 - 5*q**4\/24 + q**3\/2 + 30*q**2. What are the prime factors of p(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59193\/70 + 4202\/5. What is the common denominator of 89\/8 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*m + 1 = 0, 3*g + 5*m - 10 = 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1763051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Add 3.113429095 and 9.\nAnswer: 12.113429095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + r**2 + r. Let j(y) = -3*y**3 + y**2 + 4*y - 1. Let t(o) = -2*a(o) + j(o). Let d(l) = l**3 + 5*l**2 + 1. Let z be d(-5). What is t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 94 + 16 = 0. Is o\/110 - (-23931)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-4)\/(sqrt(70)\/(sqrt(70)\/sqrt(7))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*n - 36, -3*g - n - 4*n + 56 = 0. Suppose -o + 237 = -g*j + 10*j, 2*j = 4*o - 942. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5150 and 8240?\nAnswer: 41200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 55. Suppose 13*v + 22290 = c*v. Let m = v + -1825. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 2, 1, 3 in decreasing order.\nAnswer: 38, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3 + 3)*(3 - 3 - 1)*(n - 1 + 1) - 11*n + 0 + 0.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -1\/12*g**5 + 0*g - 1\/120*g**6 - 4*g**2 + 5\/24*g**4 + 0 - 4\/3*g**3. Give l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 k, and 1 p when four letters picked without replacement from ppuukk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*l**5 - l**4 - 13*l**2 - 4*l wrt l?\nAnswer: -2160*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 520906837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.10019 + -0.09981. Which is the closest to -0.1? (a) 15.35 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -7*x**4\/12 - x**3\/6 - x**2\/2 - x. Let u be l(-1). Let v = u + 11. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 777 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-326)\/20 + (-54)\/135*6\/(-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -811 + 688.2. Let b = h + 113. Let x = b + 10. What is the nearest to 0 in -3\/2, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -126505 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/(-578)*328\/1722*(-3)\/(-7).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 16*y**2 + 1. Let z be r(16). What are the prime factors of (74 + z + 2)*1?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -301*i - 95704. Calculate m(-318).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/33937?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -575 - -629. Suppose -d + 43 + 92 = 0. What is the greatest common divisor of d and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1)*((-84)\/(-72) + (-10)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7947511\/4 at least as big as -1986877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of (-9 - 1) + 5270 + 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(0*s - 3*s + 4*s)*(s - 2*s - 10*s).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1) + 10 - 1. Suppose 21*f = 23*f - b. What is the greatest common divisor of 15 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221.749974354 - -221.75. What is x rounded to seven dps?\nAnswer: 0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = -b - y, -1434 = -10*b + 6*b - 2*y. Calculate the remainder when b is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2545*u. Let a(g) = -g**2 + 35*g. Determine a(r(w)).\nAnswer: -6477025*w**2 + 89075*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 15\/397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*k + 2 = -s, 5*k + 4 = -2*s. What is the smallest common multiple of (-198)\/(-12) + 1\/s and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 393 = -5*g. Let k = g - 269. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131 a factor of 348949648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*w + 14 = 0, r - 4*w = 931 - 921 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*z = 128460 - 122880 for z.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 1.136. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqvqh. What is prob of picking 2 q and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r. Let i(p) be the second derivative of 65\/3*p**3 + 0*p**2 + 55*p + 1. Give n(i(z)).\nAnswer: 260*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 2328. Let o(u) = 2331*u**2. Calculate a(o(i)).\nAnswer: 6993*i**2 + 2328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 70, 74, 104, 172, 290?\n\"Answer: 2*r**3 + r**2 - 13*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17186 is divided by 693.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let f = 0 + w. Let q = 0 - f. Put -1, -2\/13, q in descending order.\nAnswer: q, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (59 + (-12)\/3). Let r = -50 - a. Find the second derivative of -11*n**3 + 3*n**3 - n**3 - r*n + 3*n wrt n.\nAnswer: -54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*3\/384*16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 396 or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 3*t**2 - 5*t + 10. Let l be m(4). Suppose l*w - 10*w + 12 = 0. Calculate the remainder when 3 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + v - 1. Let a be d(1). What is the common denominator of -2 + 75\/(-54) - a and (-5)\/(-35) - 3196\/616?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32441.\nAnswer: 32441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 2. Let n(j) = 4*j**2 + 6168*j + 4755532. Let t(i) = 2*c(i) - n(i). Suppose t(z) = 0. What is z?\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770582284.\nAnswer: 2, 4111, 46861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*t + 0*t**3 - 12*t**3 - 110*t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/88733 + 5767469\/7808504. Let o = 5 - 1. Find the common denominator of o\/(-8) - (-78)\/16 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (7 - (3 - 0)) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 11*o**2 + 7*o - 43. Determine l(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849*m - 1549*m = 427*m + 509*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + p**2 + 1)*(3 + 0 - 7)*(-24 + 24 + 6*p) as m*p**2 + q*p**3 + v*p + n and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -88. Suppose j*q - 5*n = 1118, q - 3*q = -4*n - 562. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -0.093 (c) -0.03 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + z. Let a(p) = p. Let x be (-8)\/52 + 45\/39. Let c(l) = x*h(l) + 3*a(l). What is o in c(o) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a - 40. Let g be 6\/(-1) + 0\/8. Let c be k(g). Suppose 0 = -6*d + c*d + 516. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -49716 and -5.\nAnswer: -49721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.120822 rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/32))**(13\/4))**48 assuming h is positive.\nAnswer: h**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(2 + 0 - 1) + 82 + 125 - 47)*(5*c - 3*c - 3*c).\nAnswer: -162*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6531761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 1 + 10. Suppose -d*q - 15 = m - 1, -4*m = -2*q. What is the remainder when 76 is divided by (-2 - -6)*(-13)\/m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721297?\nAnswer: 23, 67, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 94\/403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:48 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 361129\/858 + -2525\/6. Let y = 21689 + -1127791\/52. What is the common denominator of u and y?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.281 minus 1767666?\nAnswer: -1767285.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -68, -190, -516, -1148, -2188, -3738?\n\"Answer: -17*h**3 - 3*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 483489 + -11?\nAnswer: 483478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -43.\nAnswer: 5\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58920539.\nAnswer: 19, 37, 83813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*h**3 - 8884540*g**2 - 2809007*h**3 with respect to h.\nAnswer: 6*g**2*h**2 - 8427021*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 5*u**2 + 7*u + 8. Let q(z) = z - 10. Let j be q(4). Let t be n(j). Factor -2\/17*o**3 + 0 - 4\/17*o**t + 0*o.\nAnswer: -2*o**2*(o + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 16*x**2 - 3*x**4 - 71*x**2 + 8*x**4 - 2*x**3 + x - 3*x**4 in the form c*x + y*x**3 + p*x**4 + s*x**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-7) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 4. Let u be m(-4). Suppose -5*z = -z - 5*t - 18, 16 = 4*z - 4*t. Let u + 14\/9*q**z + 4\/9*q = 0. Calculate q.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Suppose 88 = 2*t + v*i, 34 = t + 4*i - 5. Suppose -p - t = -5*r + 2*p, 0 = 3*r - 4*p - 26. What is the lowest common multiple of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = -6*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113608*n**3 - 61873*n wrt n?\nAnswer: -681648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 520?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8937475 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 157 - 619*z + 1650*z - 157 + (4*z + 2*z - 3*z)*(5 + 1 + 4).\nAnswer: 1061*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(539))**2 - (sqrt(539) + sqrt(539) + (sqrt(539) + 1 - sqrt(539) - sqrt(539)) + sqrt(539) + -3)**2.\nAnswer: -1 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6928*j**3 + 8*j**2 - 48*j - 4388. Let p(o) = -2*o**3 + o**2 - 6*o - 1. Let h(b) = -8*p(b) + y(b). Differentiate h(i) with respect to i.\nAnswer: 20832*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -2420, -13, 658, 1\/8?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/30 - z**4\/6 - z**3\/3 + z**2. Let c be a(-1). Let u(p) = -4*p + 2. Calculate u(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -56082?\nAnswer: -56082","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001801 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2685*m - 1284*m + 4 - 2 - 1310*m.\nAnswer: 91*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/4 + 3*h**4\/4 + 7*h**3 + 4*h**2 - 24*h - 28.\nAnswer: -(h - 7)*(h - 2)*(h + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120076 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 2025.051, -1?\nAnswer: 2025.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 4:43 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75443\/28 - -2694. Let i = -1\/7 - g. Let j be ((-47)\/44 - -1)*-8. What is the second smallest value in 0.5, i, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 42*o**2 + 87*o + 194. Calculate the least common multiple of 825 and p(44).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 4102.35.\nAnswer: 4102.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -593947, -593948, -593949, -593950?\nAnswer: -593951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 1. Let w be q(-7). Let s be 1\/(-2) + (-19)\/(-2). Let k = s - w. Solve a - k = -6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 2. Let l(s) = 5*s + 3. Let q = -24 - -19. Calculate q*l(f) - 8*m(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8172 = 3*q, 1161 = p + 3*q - 1553. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/396 and -61\/129?\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8920048 divided by -7?\nAnswer: -8920048\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*a + 5, 5*a = b - 5*b + 4. Let f(u) be the first derivative of -u + a*u**2 + 2 - 2\/3*u**3. Differentiate f(l) wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3506751?\nAnswer: 3, 31, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6)*(-5)\/(-5824). Let y = 549 - 61485\/112. Let m = a - y. Is m at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Let q(t) = 3*t**c - 3*t**2 - t + 56*t**3 - 11*t - 46. Let d(j) = j**3 - j - 1. Let f(v) = 12*d(v) - q(v). Differentiate f(i) with respect to i.\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34 + -35 - (-24)\/2. Suppose q*l - 77 = -0*l. Solve -n + 5 = l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73572971 divided by -5\nAnswer: 73572971\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19569162 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6738\/50535)\/(1\/(-10)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4530 is divided by 453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 10*m + 8. Let a(y) = -y**3 - 7*y**2 + 9*y - 2. Calculate a(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181295116?\nAnswer: 2, 37, 1224967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22836 divided by -777?\nAnswer: 7612\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1024 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7086 (base 13) to base 5\nAnswer: 443424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 9*w**2 + 6*w.\nAnswer: 3*w*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 15 + 11 - 2*u)*(0*u + u + 2 - 3*u).\nAnswer: 4*u**2 - 8*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112 times 1.3?\nAnswer: 0.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7292*f = -5752*f + 120120 for f.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-40)\/2*(-13)\/312)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -65866 divided by -1?\nAnswer: 65866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 510 = -10*v. Suppose v = 13*t - 22. Sort t, 5, -4, 190 in decreasing order.\nAnswer: 190, 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 8:38 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*n = n + 18, 3*n - 6 = 0. Let v = 9 - 6. What is the second biggest value in v, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 143*s**5\/10 - 27*s**4\/4 + s**3\/6 + 36*s - 3. Find the third derivative of n(f) wrt f.\nAnswer: 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1257?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + -4 + 4 - -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/(-42)*7*-19892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -671*c**6\/40 + c**5\/60 - c**4\/12 - 3184*c**3\/3 - 2*c**2 - 25*c + 29. What is the derivative of l(z) wrt z?\nAnswer: -6039*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*x = 5*x - 29, -5*f - x + 80 = 0. Suppose -15 = 4*v + f. Calculate the least common multiple of 20 and (-108)\/v - -4 - 6\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*u + 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 - 100*n**3 + 345*n**2 + 1010*n + 560 = 0. Calculate n.\nAnswer: -1, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1804101036 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + 6?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 31 = 11*m. Suppose 5*g - 268 = 2*g - 2*f, 3*f - 357 = -m*g. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 261, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42011471, -42011473, -42011477, -42011483, -42011491, -42011501, -42011513?\nAnswer: -42011527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brd when three letters picked without replacement from {b: 1, r: 1, z: 5, t: 3, d: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 14 = 31*w. Let n be -5 + 2 + (5 - 0). Solve 0*h = 5*h - 10, -n = -w*g - 5*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**8\/56 + 3*k**4\/8 + 3*k**2. Find the second derivative of m(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(-2 + -1 + sqrt(567))*6*5)**2.\nAnswer: -6998400*sqrt(7) + 74649600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*l + 344616 = 3250*l + 164*l for l.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72756 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 38957, -4 in descending order.\nAnswer: 38957, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + (-3 + 5 - -4) + -4 - 45)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a gram in milligrams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 z when three letters picked without replacement from {h: 1, z: 4, q: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*f**5 + f**4 + 9*f**3 - f**2 - 31*f - 17 wrt f?\nAnswer: -3720*f**2 + 24*f + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:37 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12025.549 and 0.2032503.\nAnswer: -12025.3457497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 2*b - 25, -3*b + t + 2941 = 2921 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 4*p - 3. Let d be y(-3). Suppose -4*l - 2*n = -l - 10, d = 4*l + n - 5. Which is smaller: l or 1\/57?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 312.7, 0.3.\nAnswer: -3, 0.3, 312.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5 (c) -10 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 29 - 3. Calculate the common denominator of 113\/10 and (-1)\/1 + c\/(256\/180).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + 84. Suppose s = -7*g + 3*g + 5*d, 2*d - 11 = -g. Solve -4*m + 19 = -4*o - 9, 3*o + 2*m + g = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6915665 is divided by 531974.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8687 - -22612. What are the prime factors of p?\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.61778mm to centimeters.\nAnswer: 5.561778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43, -44, 0?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 (base 12) in base 2?\nAnswer: -101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)\/(r\/(r*r\/(r**3*r)))*(r*(r*r*(r**(-20)\/r*r*r*r)\/r*r*r)\/r*r)\/r**(-8\/5) assuming r is positive.\nAnswer: r**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 + 10. What is the tens digit of q(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*o - 16*o - 5*o - 3750*o**2 - 1935*o**2)*(2 + o - 2).\nAnswer: -5685*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-2)*(-17 + 16). Let j be -4 - u - (0 - 2). Solve -3*f - j*b - 12 = 0, 5*f - b - 2*b + 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-903)\/8127)\/(803\/(-198)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 2, n: 3, l: 4, v: 2, z: 2}. What is prob of picking 1 p and 1 z?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, 6, 0, 3 in ascending order.\nAnswer: 0, 1, 3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 460341?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14836147.35 rounded to the nearest one hundred thousand?\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let b(k) be the first derivative of -32*k**3\/3 + k**2 - 21. What is n(b(y))?\nAnswer: 32*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = -8. Let h be ((-18)\/15)\/((-4)\/10). Let r = h + -2. Sort r, -2, w in ascending order.\nAnswer: w, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*r - 43*r + u - 24, 0 = 5*r + 2*u + 33 - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30459174 less than -0.4?\nAnswer: 30459173.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-57)\/228)\/(5\/(-20)). Which is smaller: z or -3\/722?\nAnswer: -3\/722","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/5 + 66456*j.\nAnswer: 3*j*(j + 110760)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*w + 4, 0*z - 4*z - 10 = w. Let r = z - -11. Suppose -r = -s - 2. Solve -6*x + 9*x + s = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -55. Let v = 26 + g. Which is greater: -1\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 3 - 2*h**3 + 2140*h - 2140*h)*(19 - 3 + 17).\nAnswer: -66*h**3 - 132*h**2 - 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11806*a**3*y**2 + 11*a**3*y - 162*a**3 + 2*y wrt y?\nAnswer: 23612*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**3\/7 + 67*o**2\/7 + 45*o\/7 + 90. Factor y(x).\nAnswer: -(x - 45)*(3*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 8*d**2 + 8*d + 3. Let x be p(-7). Let g = -3 - x. Let c(j) = 16*j. Let a be c(g). Solve -3 + a = 3*o + y, -5 = 5*o - 5*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.982 - 11.063. Which is the third smallest value? (a) 0.5 (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 4. Let g be h(-4). Suppose -4*f - 140 = -5*p, 5*f - 214 = -g*p - 61. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 30*z - 4. What is the tens digit of q(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.304317 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2784 divided by -16.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(5\/15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcff when four letters picked without replacement from ffffffccfffffffffcff?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z\/(z*(z\/(z\/(z*z**23)))\/z))\/z)\/((z\/(z\/(z\/z**(-26))))\/z))**(-9))**(-18))**11 assuming z is positive.\nAnswer: z**(-89100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 14339*a + 1990. Is f(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654520 (base 11) in base 14?\nAnswer: 1d2ddc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -361 * -2455.6.\nAnswer: 886471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + 172?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/13)\/h)\/h**(2\/9)*(h*h\/h**(-1\/3))**(-32)*(h**(2\/7)\/(h\/((h*h\/(h\/(h*h**(-1))*h)*h*h)\/h*h)))\/(h**(-3)\/(h*h*h**(-1\/5)*h)) assuming h is positive.\nAnswer: h**(-281119\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*t + 122*t - 36 = 0. Solve -2*b - 4*j = -0*b + 10, -t*b - 11 = -j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6095, -12251, -18467, -24743, -31079, -37475?\n\"Answer: -30*i**2 - 6066*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 9*j**2 + 6*j - 11. Let i(l) = l - 30. Let o be i(22). Let n be d(o). Suppose 200 = n*u + 5*p, 2*u - 49 = 5*p + 38. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*c - 151*c - 36 = 672 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s. Let i(z) = -8*z. Let n be (30\/24)\/((-1)\/(-4)). Let v = 9 - n. Let u(g) = v*i(g) + 11*b(g). Let w(p) = -2*p. Determine u(w(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -734970.65 to the nearest one thousand.\nAnswer: -735000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = 5*p. Suppose -23*m - 2*h = -27*m + 24, -5*h - 52 = -6*m. Solve y + p*j = j + m, -5*j + 20 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (428688\/(-41678))\/((-33)\/14)?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:03 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**4 + 8*p**3 + 11*p + 11. Let b = -16 - -20. Let t(i) = 3*i**4 - 3*i**3 - 4*i - 4. Let f(n) = b*h(n) + 11*t(n). Factor f(a).\nAnswer: a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2611240 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5445\/21496?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -138*j + 2194 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 4:47 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 38 + 17 + 26*i.\nAnswer: i + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 947425882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/21)\/3 + -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i + 2*n + 7, -3*i - 4*n - 20 = 0. Sort 1, -2, i.\nAnswer: -2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 323 + -320. Which is the fourth smallest value? (a) 1\/5 (b) -3\/7 (c) 0.3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17638958?\nAnswer: 2, 1301, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:31 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -35*s - 239 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -125*f**2 - 127*f**2 + 254*f**2. Let l(i) = i - 1. What is l(x(m))?\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -3*b - 2*o + 70, 4*b - o = -56. Suppose 28 = t + 5. Let h = b + t. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4 + (-3)\/(-6). Let m = p + -10. What are the prime factors of (-12)\/m*34\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1660540 - 261975 = -7*j + 42*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15238820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1. Let r(n) = n**3 + 2*n**2 - 3. What is -r(z) - 4*v(z)?\nAnswer: -z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4936918 and 57\/19747672.\nAnswer: 19747672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4 - (2*(-16175)\/20 + -2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3552203, -3552204, -3552205, -3552206, -3552207, -3552208?\nAnswer: -3552209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k = 46*k - 2580. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-5)\/(5\/(-1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 * 98.2.\nAnswer: -8641.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27830937*s**3 - 13787132*s**2?\nAnswer: 166985622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32284 divided by -4\nAnswer: -8071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -208.1 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 262*m**2 - 9*m - 2. Let n be o(-6). Let p = n - 94941\/10. Calculate the common denominator of (27*12\/48)\/(-48) and p.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47522 is divided by 708?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2. Let r(x) be the third derivative of -25*x**4\/3 - 1801*x**2. Calculate r(b(s)).\nAnswer: 600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162592*o - 3483 = -162463*o for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 9:45 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 - c. Let z(t) = -4*t**3 - 11*t**2 - 4*t - 3. Let p(w) = -5*v(w) + z(w). Give p(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*r + b, -3*b = -7*b - 20. Let p = -5 + r. Let n(f) = f**3 + 6*f**2 - 10*f - 9. Is n(p) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*s**4 + 0*s + s**4 + s + 2*s**3 in the form l*s**2 + q*s + u + p*s**4 + v*s**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 7*f + 0*f + 62.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273 (base 8) to base 5.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {w: 1, n: 3, d: 2, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-3) + 5689)*(-4)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211723, 423558, 635393, 847228?\nAnswer: 1059063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**6 - 9*a**5 + 12*a**5 + 10*a**2 + 4*a**2 + 17*a**6 wrt a?\nAnswer: 2760*a**3 + 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -4*r**3 - 9\/5*r**5 + 0*r**2 - 10 + 6*r**4 + 0*r. Factor z(y).\nAnswer: -3*y**2*(y - 2)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 + 2482*f**4 + 9974*f**3 - 17410*f**2 - 24900*f = 0. What is f?\nAnswer: -5, -1, 0, 2, 1245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 + (-52)\/(-8). Let f(a) = -a + 4 + 5*a - t*a + a**2 + 2*a**2. Let m(j) = 4*j**2 - 2*j + 5. What is -5*f(y) + 4*m(y)?\nAnswer: y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0068944 to five decimal places.\nAnswer: -0.00689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, w: 5}. What is prob of picking 2 q and 1 w?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 12*a - 16 = 0, -4*a + 236 = 10*h. Calculate the remainder when 1208 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5 - 1. Suppose 40*h + 220*h - 1820 = 0. What is the nearest to w in 1, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 64.7. What is the second smallest value in -64, -1\/9, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o*o*o)**(-1\/67)\/(o*o*o*o**(-2\/5))**(1\/54)*o**1*o*o*(o*o**(2\/13))\/o*o**(1\/6)\/((o\/(o*o**(-8)))\/o) assuming o is positive.\nAnswer: o**(-440069\/117585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 17*s**2 + 0 + 0*s + 1\/12*s**4 + 1\/2*s**3 - 1\/120*s**6 - 1\/30*s**5. Let b be 26\/(-8) + 1\/4. Determine i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 - z - 22*z**2 - 19*z**2.\nAnswer: -44*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 550 (b) 2\/19 (c) 1\/3 (d) 5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 7*s**2 + 10*s + 5. Is 25 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39\/(-18) + 75\/(-90) + (49964 - -4).\nAnswer: 3, 5, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 13 = 2*g, -g - 2*v + 29 = 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 642, -158483, -5?\nAnswer: 642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqo when three letters picked without replacement from ocqvoqcovoooooooqoco?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*f**2 - 55*f**2 - 14*f**2)*(2*f - 3*f - f) to i*f + g*f**3 + k*f**2 + n and give g.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*j + 33, 2*r - 4*r + 4*j = -16. Let y(x) = -39*x - 67. What is the remainder when 360 is divided by y(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 6*n**2 - 20*n + 21. Calculate the smallest common multiple of 112 and c(-7).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 8) to base 4.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-5) + 242\/10. Let f(m) = -c*m - 5*m**2 - 1 + 12*m + 10*m - m**3. What is f(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/336*(-7)\/6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1206)\/15 - -81)\/(2\/120)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9846692 divided by 202.\nAnswer: -48746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140231560 divided by -55340.\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s - 20. Give q(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a**2 - 4*a - 1. Let b be y(-1). Let c(l) = -2*l + 4. Let t(h) = -h + 1. Give b*t(f) + 3*c(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**3\/6 - r. Let x(y) be the third derivative of 0*y**3 - y**2 + 0 + 0*y - 1\/12*y**4. Give x(s(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 303, 198, 167, 246, 471, 878, 1503?\n\"Answer: 6*j**3 + j**2 - 150*j + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 + 4 + 262 + -238 - 34.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 390 + -258. Calculate the highest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 28*l**3 - 820*l**2 - 608*l + 240 = 0.\nAnswer: -1, 2\/7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208829, -208830, -208831, -208832, -208833?\nAnswer: -208834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*-0.05.\nAnswer: -3.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 7:31 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11115, 11113, 11099, 11067, 11011, 10925?\n\"Answer: -p**3 + 5*p + 11111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-31)\/2)\/((-16)\/32). Solve -c = -6*c + 4*i - u, 4*c - 3*i + 24 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/16)\/((-2)\/(-16)) - (-5)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1315 - -1345. Solve -n*t = -48 - 42 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l + 4*o - 38, -l - 4*o = -10. Let h be 2\/(3 - l\/6). Solve -c**2 - 3*c + h - 4 + c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -7*q + 1. Suppose 2*c + 3*c + 12 = 2*z, 0 = 2*c + q*z + 28. Let w = 9 + c. Solve 2*f + 2*f = -5*k - w, 5*k + 5*f = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5500))\/sqrt(11) + 4 + 1 + -5.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 220491 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: Is 48293700 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by 418.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 2, u: 3, y: 3, l: 1, r: 2}. What is prob of sequence lyyu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097815633 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -1 - 1\/2*u**2 + 3*u. What are the prime factors of w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 479 + -458. Suppose w - m + 0 = -2*p, -4*w + 39 = 3*p. Solve 2*x = 5*y + 18, -p = -3*x + y + 2*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - -2. Let u = 15 + -11. Suppose -4*f - 9 = 3. What is the third biggest value in l, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8828 - -1.3828. What is the second smallest value in -452, -1, 3, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-5))\/(3\/15). Let y = 12 + g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 265251805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*u*y**3 + 189628*u - 2*y**4 - 388*y**3 wrt y?\nAnswer: 30*u*y**2 - 8*y**3 - 1164*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-56)\/18) + (-3)\/(-21). Let w = 0.2 + 0.3. Let h = 2 + -6. Which is the third smallest value? (a) w (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/53744 and 31\/208?\nAnswer: 698672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 + 208. Suppose 46 - 1 = 3*y. What is the remainder when i is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/(y*y\/(y\/(y\/(y*(y**(4\/3)*y)\/y)))))))\/(y\/(y*y**(1\/8)\/y)) assuming y is positive.\nAnswer: y**(35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -2*l + 19. Suppose 138 = 4*b + s, -l - 26 = -5*b + 2*s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/6)\/((-9)\/(-27)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 8)\/45 + ((-9321)\/20358 - 1\/(-2)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (2 - 10) - 3. Solve -7*x + 4 = -q*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3)*(-9*w**3 + 6*w**2 - 8*w**2 + w**2) to c*w**2 + f*w**3 + q*w + n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 2563809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8299*g + 82995. Calculate f(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 16. Suppose 10 = 3*q + 3*r - 17, 5*q - r = 27. Let a be h(q). Let l(y) = -y. Determine l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 8. Let k = -11 + 11. Suppose -t = -3*n - 2*n + 22, k = 3*n - 4*t - 3. Let o(p) = 2*p - 5. Calculate n*f(b) - 8*o(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i = -3*z - 40*i + 35077, 2*z - 3*i = 23363. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**9*d*d*d**(-13)*d*(d\/d**(-3))**47 assuming d is positive.\nAnswer: d**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.17, 5, 0.15 in increasing order.\nAnswer: 0.15, 2.17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/12 and 47\/3785758?\nAnswer: 22714548","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*g - 2 = g, 3*d - 3*g + 3 = 0. Calculate the greatest common factor of d and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 15 + 5. Let z(q) = q + 8. Let u(r) = r + 9. Let y(m) = -3*u(m) + 4*z(m). Calculate y(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 36*q - 336 = 74*q for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 98, 155, 236, 341?\n\"Answer: 12*q**2 - 3*q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*f = -326*g + 328*g + 2, 0 = g - 9*f + 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 - 39722 + 77275 - 37553.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1182 (base 10) to base 14.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10173, -20347, -30497, -40611, -50677, -60683, -70617?\nAnswer: -80467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, m: 5}. Give prob of picking 3 m.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**(-4\/7)*g)))\/g*g**(2\/9)*g*g)**(-31) assuming g is positive.\nAnswer: g**(-3224\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/17))**35*w**0\/(w\/(w\/(w**(-9)*w))) assuming w is positive.\nAnswer: w**(206\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 14. Solve 0 = 4*z - c - 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 256, 236, 192, 112, -16, -204, -464, -808?\n\"Answer: -2*q**3 - 6*q + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -539.315346 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 90. Let k = h + 53. Calculate the greatest common factor of 21 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 + 33. Calculate the highest common factor of c and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067113 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 39*c + 331. Let y be i(-7). Calculate the greatest common divisor of y and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12874 and 2128606.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 2:10 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 14 + 36. Solve -7*g + 2*g + f = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 3776.\nAnswer: 26432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1158 + -1157.99999524. What is r rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 4, -1.82?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**5\/360 + 11*i**4\/48 - 8*i**3\/9 + 97*i**2. Factor o(l).\nAnswer: -(l - 32)*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/4, -3, -11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/8 - 611856\/(-384). Calculate the greatest common divisor of x and 1416.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -728*c**5 - 677*c**5 + 1303*c**5 - 3*c**2 + 3*c**2 - c**5 + 7*c**5 - 3*c**5 - 3*c**5 + c**5 + 0*c**5 + c**5 + (-5 + 5 - 2*c**2)*(0 + 2*c**3 + 0).\nAnswer: -104*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -93. Let i be (-2)\/d + 3\/(-15). Which is the second biggest value? (a) -4 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-40)\/25)*(31 + 4). Let x = k + 185. What are the prime factors of x?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3892 - 1543. Let a = v + 813. What is the lowest common multiple of a and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -9) + (6 - (-5 + 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*a**2*u**2*y + 2*a**2 - a*u**2*y**3 - 42*a*u*y**2 - 2*u*y**3 wrt u?\nAnswer: 94*a**2*y - 2*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5184 and 2432?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1115 (b) -2\/3 (c) -100\/3 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:03 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/9 + 1057*g\/3 + 4244.\nAnswer: -(g - 3183)*(g + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from fuuof?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96789 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.425875 to one dp.\nAnswer: 50.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.396 times 1.6?\nAnswer: 581.4336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 7)*(-4)\/((-4)\/(-1)). Let z(j) = j**2 + j + 3. Let f be z(-2). Solve s = f*q - 11 - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 244607 * 0.4.\nAnswer: 97842.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4228990 is divided by 1652?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1894, 2087, 2280, 2473?\nAnswer: 2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7)\/t**3)\/(t**(1\/3))**(6\/7) assuming t is positive.\nAnswer: t**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 1, z: 7, w: 3}. What is prob of picking 3 z and 1 w?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870226 is divided by 121?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 8:43 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-12) - -4 - 0. Which is the second biggest value? (a) -1 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 10*x**2 - 26*x + 10. Let l be o(12). Let d be (-231)\/l + 6\/4 + 2. Suppose u = -c + 445 + 809, 0 = 4*u + d. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 2 + -12 + -101 - -26.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 10:33 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 600105?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24*(41\/82)\/(6\/9*(-3)\/14)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -12 - (5 + -12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k**2 - 3*k)*(-k**2 - 4*k**2 + 4*k**2) - 47*k**4 - 3*k**2 - 2*k + 33 + 33*k**4 + 15*k**4.\nAnswer: 5*k**4 - 3*k**2 - 2*k + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**2\/4 + 1731*y\/2 + 1734 = 0.\nAnswer: -2, 1156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 - 103. Suppose -3*a + 10 = 2*t, 2*a + t = 2*t + 2. Suppose a*r + 24 = 3*r. What is the remainder when m is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/7 - 4*d**4\/7 - 2*d**3\/7 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-585))\/(1\/3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 13*a + 2255 = 5*n, 2*a = 6*n + 4430. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9459\/15 + 4\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 3*x**2 - 6*x - 6. Let r(o) = o**3 + 5*o**2 + o - 12. Let t be r(-5). Let d = t + 35. Calculate the remainder when n(-4) is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - (sqrt(85) - sqrt(85)*-1)*5) + sqrt(85) + 4*(sqrt(85) - (-2*sqrt(85) - sqrt(85))))\/(sqrt(45)\/(sqrt(27)\/sqrt(3))*1))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 3566.\nAnswer: 3\/1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(11)*2*5)**2.\nAnswer: -160*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -9. Let o be 4\/12 + (-244)\/165. Let d = 6\/11 + o. Which is the closest to -0.1? (a) i (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 2135?\nAnswer: 19215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 45 + 3*h - 75 - 6*h**2 + 81.\nAnswer: -6*h**2 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10717 a factor of 619864231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 + -78. Let z(p) = -5*p + 8. Let d(x) = -11*x + 17. Calculate w*z(h) - 4*d(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -188*b - 230 - 150 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 at least as big as -247050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-5))\/(1\/5). Suppose -c*u - u = 0. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/((-2)\/(-5)*-1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7b - -2043?\nAnswer: 1c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3145298 is divided by 21543.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74036296 to the power of 1\/2, to the nearest integer?\nAnswer: 8604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(350))\/(sqrt(63)\/(sqrt(63)\/sqrt(7) + sqrt(9))).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 7*h**2 + 4*h - 8. Let t be n(-6). Suppose -6 = k - 2*d, t*d = -k + 28 - 4. Solve 0 = 4*r - 4, -2*r + 2 = -4*j - k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 3900\/(-16))*4. Let f = 2945\/3 + s. Find the common denominator of f and -57\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -532*a*t**4 + 2*a*t**3 + 119*a*t + 2*t wrt t.\nAnswer: -6384*a*t**2 + 12*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 - (-51 + (26 - -31))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v = 28*v + 341 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 17, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1)*124\/(-93)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 888218.7 years?\nAnswer: 88821.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 616*d - 132*d - 3*l + 8219, l - 33 - 3 = 101*d - 98*d - 4*l for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 14 - 29. Let k = -38 - i. Calculate the least common multiple of k and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/9)\/v)*v*(v**(7\/4)\/v)\/v)\/(v*v*v\/((v**7*v)\/v)*v*v**1) assuming v is positive.\nAnswer: v**(179\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 359717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Let y be 28\/(-8) + 2 + b. Sort 2, 3, y.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, 0.3, -0.1143, 0.103 in ascending order.\nAnswer: -0.1143, -0.1, 0.103, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.1143 * 0.1\nAnswer: -0.11143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/6 - 5*r**2\/2 + r. Let m be a(5). Suppose -1 = 3*j - 16. Solve 0 = -m*n - j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:28 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -61. Calculate the highest common factor of f and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 2*q = 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 3. Let g be t(-5). Solve -d - g = -3*w + 3*d, -2*w - 5*d = -1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 478517\/9342 - -1\/9342. Let d = x - 51. Let s = -8.94 + 9. Sort 4, s, d in ascending order.\nAnswer: s, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 6*f + 24 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50213\/39052 + -2\/751. Find the common denominator of o and 2\/221.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -210*(-11)\/(-1760)*20*6*(-8)\/20.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4119*u + 6609*u + 8277*u + 7346*u.\nAnswer: 26351*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = -2*u, -8*u - 15 = -5*u. What is the second biggest value in -0.5, g, 52\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(52) - sqrt(13) - (sqrt(13) - -1*sqrt(13))*-1)**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -127.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 8 (b) 0.04 (c) 5 (d) 0 (e) -66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dau when three letters picked without replacement from uadaaauddd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3223221010 (base 4) to base 8\nAnswer: -3535104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 383457182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31103 + 329?\nAnswer: 3142c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 4*n + 1. Let a be s(4). Suppose -4 = -5*y + a. What is the remainder when (2\/4)\/(y\/94) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-2\/23))*m)\/(m**(-13)*m*m)*(m*m**0)**(-3) assuming m is positive.\nAnswer: m**(209\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*5\/(540\/8)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 5*w**2 - 4*w.\nAnswer: -w*(w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, -1.9, -0.01, -0.1, 5 in descending order.\nAnswer: 5, -0.01, -0.1, -0.4, -1.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 44*s + 38*s - 28, -4*u = 2*s. Let n(c) be the second derivative of 3*c**2 + 0 + 12*c + 1\/20*c**5 + 0*c**3 - 7\/12*c**u. Give n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19091051 to the power of 1\/3, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87490196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/120 - 4192\/(-11520). Let y = 0.3 - 0.1. Are g and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 49, -3, -2 in ascending order.\nAnswer: -3, -2, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(63\/(-7))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - -27*3\/(-21). Let g = 326 + -1961\/6. Let k = g + 1\/6. Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9 = -27. Let o(r) = -2*r + 13. Let v be o(j). Is v < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07867529 and -0.1.\nAnswer: 0.007867529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-13 + 8 + (-6 - 0)) - (19 - -6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76823501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 20 + 20. Let o(x) be the first derivative of 4 + 0*x + 0*x**2 + 7\/3*x**3. Give t(o(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -35*g + 36*g. Let d be g\/((-98)\/12)*70\/20. Suppose -2*l + 18 = 4*n - 3*n, -d*l + 87 = 4*n. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8713796 - 2.87138025. Let a = -1 + p. Round a to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -15*g + 3. Let x(o) = -32*o + 7. Determine 5*h(u) - 2*x(u).\nAnswer: -11*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = i - 5*v + 170, 0 = -4*i + 4*v - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7*(-6 + 2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -213.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 498151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2912 and 1001?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*16520\nAnswer: 6608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*p - 4*p**3 + 27*p)*(-2 + 1 + 3) + p**3 + p - p.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**6\/120 + 19*a**3\/6 + 2*a. Let c(v) be the second derivative of k(v). Let d(t) = t + 4*t - 9*t. Give d(c(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r - 192 = -4*b, -6*r = b - 4*r + 3. Suppose 3*k + 33 = -2*a, -8 - 5 = a + 5*k. Let q = a - -30. Solve 8*z = b*z - q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n + 192 - 236. Find the third derivative of -155*h + 6*h**2 - n*h**2 + 217*h - 13*h**4 wrt h.\nAnswer: -312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:32 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**5 - h**3 + 2*h**2 + h + 1. Let o(q) = -10*q**5 + 4*q**4 + 11*q**3 - 14*q**2 - 7*q - 7. Let g(k) = -28*j(k) - 4*o(k). Factor g(n).\nAnswer: 4*n**3*(n - 2)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 12)\/(2 - 1)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -2 (b) 4 (c) -3 (d) 24 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -89*m**3 + 1614081*m**2 + 417128*m = 0.\nAnswer: -23\/89, 0, 18136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 1. Let n be r(-1). Let u = 32 - n. Let m = -19 + u. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - 863*d**2 - 102*d + 229706. Give g(431).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -346\/3 - -115. What is the closest to 0 in 0, h, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + 1. Let g(p) be the first derivative of p**3\/3 - p + 2. What is -4*g(t) - 3*y(t)?\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 518672 and 4?\nAnswer: 518672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 14*n - 1. Let d be u(-14). Let k(z) = 0*z - 1 + z - 4*z**2 + z**2. Let i(l) = -l + 1. Give d*k(f) - i(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 61, -3, -151, -389, -723, -1159, -1703, -2361?\n\"Answer: -m**3 - 36*m**2 + 51*m + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*m, -3*m = 3*y - 2*y - 6. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0 + 0*n - 1\/3*n**3 + 4*n**2 + 1\/150*n**5 - 1\/15*n**4. Factor g(m).\nAnswer: 2*(m - 5)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:31 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1438209 (base 10) to base 9.\nAnswer: -2631760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 31. Let x be i(0). Let s = -28 + x. Suppose s*j - 2*j = 0. Solve -2*m - 3*m + 3*q = 9, 2*m - 2*q + 2 = j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + 7978 + 8 + (1\/(-1))\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 14\/41 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5023608 to the nearest integer?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/35241996 and 31\/41115662?\nAnswer: 246693972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1678 + -1679. Which is the closest to -0.2? (a) 8\/5 (b) o (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16630000 rounded to the nearest one hundred thousand?\nAnswer: 16600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l**2 + 1)*(0*l - l - l) + 2*l**3 - l**3 + l**3 - 7*l - 908*l**3 + 891*l**3 - 4 + 2.\nAnswer: -11*l**3 - 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62225 is divided by 243?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -c - 7, 5*z - 3*c = -7*c - 1. Let l be 12\/(-9)*(-9)\/6. Suppose 0 = -z*n - l*n + 140. Calculate the greatest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(605) + -5 - (sqrt(605) + (sqrt(605) + 1*sqrt(605) + 0 - sqrt(605))**2)*-5.\nAnswer: 33*sqrt(5) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*d**3 + 0 + 3\/7*d - 4\/7*d**2.\nAnswer: d*(d - 3)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8*f - 368. Let r(n) = -n**3 + 10*n**2 - 12*n + 3. Let d be r(1). Which is the smallest value? (a) f (b) -2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 271120 and 2160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15570347 to the power of 1\/2, to the nearest integer?\nAnswer: 3946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b + -2b54?\nAnswer: -2b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - ((-7 - 11) + 43)) + 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Let h be 2\/(x\/7) - 3. Let q = -3 - -4. Is q greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let m be (-308 - -302)*(-1)\/(-21)*-1. Which is the closest to m? (a) 2\/3 (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*f + 22485 = -408*f + 4293 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*x + 55\/2*x**2 + 30.\nAnswer: 5*(x + 2)*(11*x + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) 4\/93 (c) 2 (d) 0.162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - 54\/156. Which is the biggest value? (a) -4 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*q - 5, 20*s = 17*s - 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 67, 115, 179, 265, 379, 527?\n\"Answer: r**3 - r**2 + 34*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 2231?\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, e: 4, u: 1, f: 1, s: 3}. What is prob of sequence ee?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/825 - -1624\/10725. Which is the closest to 3? (a) o (b) 1\/4 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 w when three letters picked without replacement from weeow.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3534547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480089 is divided by 337?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7296 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711738 is divided by 4506?\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q**3 - 2*q**2 - 1. Let g = -29 - -33. Suppose -5*a + g = -3*v + 8, 3*v = -a - 8. Let d be j(a). What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 9*m + 57. Let h be t(-13). Suppose h*u - 2 = -9*i + 7*i, 5 = -3*u + 5*i. Sort u, 5, -4 in descending order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163413.\nAnswer: 3, 67, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504144\/702 - (15\/13 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -1. Suppose -38 = -4*d - v + 3*v, 2*d + h*v - 34 = 0. What is the remainder when d is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 - 313. Let o = -200.819 - i. What is o rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 25*c - 280. What is the lowest common multiple of c and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13428 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 1. Let w(p) = p - 1. Let s(k) = k. Let h(q) = -2*s(q) + w(q). Determine 7*f(y) - 5*h(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 take away -1290943?\nAnswer: 1290996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308953 is divided by 102948.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6386241 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (1 - 2))*-1. Solve -3*p = j*t + 24, -4*t + 4*p + 1 + 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830399 is divided by 103797?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + k + 6. Give v(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 23229861.1167\nAnswer: 23229874.1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + -39 - -51) + (3 - (-1 - 13)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117 - 120?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 7*w - 8. What are the prime factors of v(-6)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*g - 75*g - 67*g = -3891840000. What is g rounded to the nearest one million?\nAnswer: -324000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 24. Let v = t - -28. Suppose 0 = -0*u + 3*u - 120. What is the remainder when u is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.71*3\nAnswer: 8.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292144, 584261, 876370, 1168471, 1460564?\nAnswer: 1752649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/2717 (b) -2\/5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxxl when four letters picked without replacement from {x: 3, u: 2, l: 7}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1)\/42*(5 - 3). Let a = 1172\/7 + -168. What is the smallest value in w, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -363020916*z + 184300187?\nAnswer: -363020916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-4)\/2*(-10)\/(-220)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221002 + -211?\nAnswer: -221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24652455?\nAnswer: 3, 5, 1643497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrpm when four letters picked without replacement from {p: 2, m: 1, h: 3, r: 6, d: 3, v: 4}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4026725 (base 8) in base 9?\nAnswer: 1885421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(36\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15478.\nAnswer: 2, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7))\/((-8)\/(160\/(-30)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -445.999082 + 446. Round q to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {y: 2, w: 1, p: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, e: 2, d: 1, g: 3, k: 3}. Give prob of picking 1 g, 1 e, and 1 d.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -103*k**6\/60 + k**4\/8 + k**3\/6 - 33*k**2. Suppose 5*u - 3*w + 0 = -14, 5*w = 15. What are the prime factors of y(u)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15790.8 to the nearest one hundred.\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*t - 2 + 548*t + 319*t + 2 + 1387*t.\nAnswer: 2526*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17508 and 240732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 1:23 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.56.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**10))**45)**(-37) assuming u is positive.\nAnswer: u**16650","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7250 - 7249.5. What is the second smallest value in -1\/4, 2, -3, h, -0.21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2226644 + -1289530. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.1 - -577.974848\nAnswer: 561.874848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlxfmjmjmfjmlml. Give prob of sequence lx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {v: 1, w: 2, u: 1, r: 2, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05688, -0.064, -1\/5?\nAnswer: 0.05688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 244*n - 34844. Give p(101).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 95*u**2 + 6*u + 23. Is b(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 20347987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 17. Suppose -n = -b*n - 12. Let t be n\/42 - 32\/(-14). Solve -t*s + 0*s = -6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 27 = -c. Differentiate 2 + c + 0 + 4*t - 7*t wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 1, s: 12, q: 5}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12129 by 3.\nAnswer: 4043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/2)*f**9*f assuming f is positive.\nAnswer: f**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + k = -205, 4*n - 150 = n + 2*k. Suppose 6*u - n = 68. Calculate the remainder when 76 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*c - 78, 2*c + 17962*y - 18007*y = -93 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1921*t + 3174.\nAnswer: 1921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.3756679721 less than 0.5?\nAnswer: -10.8756679721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 341.\nAnswer: -170.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 541454 = 66630. Is 61 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i**3 + 27*i + 82. Let w be f(-3). Let q be (0 + w - 5)\/((-2)\/5800). What is q rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49463729 is divided by 24731859.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + c = 4*l - 8, 4*l + 2*c = 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 24*j = -25*j + 16, 5*q + 5*j + 45 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 25*t - 100 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 3 = 19*j. Let o be (6 - 3) + (-54)\/(-16)*j. Let r be (-242)\/55 - 8\/(-2). What is the second smallest value in 1, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 1 (b) -3 (c) 33 (d) -2\/117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 36 = -122*p + 120*p, -9*p + 18 = -2*l + 2*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 211?\nAnswer: -14.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vja when three letters picked without replacement from {r: 3, v: 6, a: 1, j: 9}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 451589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1129 + 1138.91. Let r = 10 - f. Let i = r - -0.044. What is i rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -676993?\nAnswer: -338496.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 71*b - 1581. Determine y(-51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 97215100.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/42 and -97\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -5, -2\/3, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.375 and -22.\nAnswer: -22.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 8*m - 3*m. Let n = 123 + -70. Let x = m + n. What is the remainder when 87 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 47, 42, 3, -82, -225, -438, -733?\n\"Answer: -2*r**3 + r**2 + 28*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 + (-112)\/(-40). Solve -3*r + g = 2*g - 16, z*r - 8 = g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31444 (base 6) to base 13\nAnswer: -1c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 53, 139, 259, 413?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45768761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -0.109, 353694 in descending order.\nAnswer: 353694, -2\/19, -0.109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1.6, 4 in ascending order.\nAnswer: -1.6, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 475219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 60 = -0*c. Suppose -5*o - 5*g = -c, 2*o - 4*g = -7 + 3. Suppose o*h - 11 = 27. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707 - 5730*q + 707 - 5733*q + 11486*q.\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**3 - 3396*w**2 + 5080*w - 1692.\nAnswer: 4*(w - 423)*(w - 1)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (872*v - 2481*v + 10332*v + (0 + 0 + 1)*(0*v - 2*v + 3*v))*(-v**2 - v**2 + v**2).\nAnswer: -8724*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 18 (b) 4 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.97 - 21.39. Let a = -23 - g. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 4222?\nAnswer: -4225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -182.99999911 + 183. What is a rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/423 + 344\/141. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 11237688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b23 (base 13) to base 2.\nAnswer: -11101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 = -165*z + 583*z - 6124 - 1872 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -881241 divided by 6.\nAnswer: -293747\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-2 - 3) + 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 3424311?\nAnswer: 3424313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198399?\nAnswer: 3, 41, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 205784 + 205784.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 10*r + 26. What is q(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w - 3. Let x be o(-1). Solve -3*r + 2*r + 3*k - 8 = 0, x = 3*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 312 = -4*s, 3*g - 49 = -3*s + 188. Suppose 5*b = 4*b + s. Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5459906414 to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231862410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**3 - 49420*l**2 + 147472800*l - 99413334000 = 0.\nAnswer: -14935, 1290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:13 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -10) + -30 + 1 + 503 + -538?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76060609?\nAnswer: 23, 661, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -521 by 306.\nAnswer: -521\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18.72717 kilometers?\nAnswer: 18727.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, a: 7, v: 2}. What is prob of sequence vpp?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = -4*i - i + 68*q - 50, -3*q = 4*i - 44 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.5279899 and -0.3?\nAnswer: 0.75839697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -5*g**4\/2 + 5*g**2\/2 + 3. What is the second derivative of r(w) wrt w?\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 12*a**2 + 17*a + 16. Let z be k(-7). Sort 71, -4, z, 5 in descending order.\nAnswer: 71, 5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 2*l. Let i(r) = -r**2 + 1. Give -b(o) - 3*i(o).\nAnswer: o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-4 - (27 - -17)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75299123 to the power of 1\/2, to the nearest integer?\nAnswer: 8678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -13. Let x(p) = 20*p**2 - 22*p**2 + 22 + 0*p - 11*p - 33. Let d(u) = -u**2 - 6*u - 6. Calculate r*x(g) + 11*d(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2, -1, 423, 2 in decreasing order.\nAnswer: 423, 2, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6124420, -6124412, -6124404, -6124396, -6124388?\n\"Answer: 8*j - 6124428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(5\/6)\/q)\/(q\/(q\/q**(-1\/35))))\/(q**(3\/2)\/(q\/(q\/q**(1\/2))*q)) assuming q is positive.\nAnswer: q**(-29\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let d(i) = 0 + i**2 + 3 + 11*i - 2*i. Let a be d(-9). Let w = 4 - 2. Solve 5 = w*j - a*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3343, -4079, -6075, -9961, -16367?\nAnswer: -25923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.353 - -24.353. What is the third biggest value in -5, 0.04, -2, 3, p?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1261 - -1272.504. Let n = b + -11.4. What is n rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 10*q**2 + q - 3. Let g = 18 + -13. Let j be m(g). Solve v - j + 5 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 3*z**2 + z + 3. Let t be h(-3). Suppose t*w = 2*w - 34. What is the highest common factor of w and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-66)\/15 - -4) + (-36)\/10. Put c, -3, 2 in increasing order.\nAnswer: c, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 26?\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyftffyyytytyy. Give prob of sequence vtf.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 3328?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 469 * -1.30729.\nAnswer: -613.11901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 1\/60*j**6 - 5\/6*j**3 - 1\/30*j**5 + 0 + 0*j**4 + 0*j + 51*j**2 - 3\/35*j**7. Find the third derivative of c(y) wrt y.\nAnswer: -432*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146623.\nAnswer: 19, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10658*h + 23999*h + 26592*h - 16487*h.\nAnswer: 44762*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, u: 1, x: 2, z: 4, n: 3}. Give prob of sequence xn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22767570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 - 2*f**2)*(3*f + 2*f - 2*f)*((f + 3*f - 2*f)*(2 - 2 + f) + 3*f**2 - f + f) - 42*f**2 + 4*f**2 + 39*f**2 - 862*f**5.\nAnswer: -892*f**5 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(10)\/sqrt(2)*-1 + (-1*sqrt(5) + 3)**2.\nAnswer: -7*sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.34 - -0.34. Let s = 16.144 + l. Round s to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73851360 in 3, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -14) + -12 - -10 - (-13 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 15 (c) 2\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*r - n - 864 = -136, -n = 5*r + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, -0.64, 4\/7, -7\/2, 2\/147, 0.1?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 41. Determine j(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -43. Suppose -2*t - 2*t = 2*y + 356, 4 = u*y. Which is greater: -89 or t?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-132)\/16 - 7\/(14\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162 + 3 - 462*d**3 - 134*d**3 - 180*d**3 + 84 wrt d.\nAnswer: -2328*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 46145*3\nAnswer: 138435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 161 = 16. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 31 = 13. Is (s\/(-27))\/(17759\/(-5919) - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tht when three letters picked without replacement from {h: 3, e: 3, t: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 7*l - 4. Let x be a(6). What is the units digit of (2\/(-4))\/((-1)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/19 - 2*w\/19 + 40\/19.\nAnswer: -2*(w - 4)*(w + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5449*a**3 - 7*a**2 + a + 10630. Let q(o) = 3633*o**3 - 5*o**2 + o + 7087. Let l(z) = -5*k(z) + 7*q(z). Differentiate l(i) wrt i.\nAnswer: -5442*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a4 + 1a68?\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 2 = 8*t. Suppose -t*g = -155 - 67. What are the prime factors of g?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from yyoyyyyyyoy.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7526360 by -1881590.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*p + 47, -5*p + 0 = -q + 1. What is the third derivative of -n**5 - q*n**5 - 80*n**2 + 52*n**2 wrt n?\nAnswer: -720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**2 + 5*w**3 - 1 + 5*w**2 - w**3 + 4*w**2 - 5*w. Let k be (-8 - (-101)\/9) + (-2)\/9. Let i be x(k). What is i rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**5 - 1275*p**4 - 2*p**3 + 4*p**2 + 709*p.\nAnswer: -120*p**2 - 30600*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + 0.1. Let o = 0.9 - b. Let z = 14 - 156\/11. What is the nearest to 1\/3 in 4, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - 1.89. What is the closest to -1 in v, 2\/11, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -184 in descending order.\nAnswer: 3, -1, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/(-24) - 6\/(-4). Solve 2*m + 5*b + 0*b = -r, -3*b + 3 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4983, 3856 in increasing order.\nAnswer: -4983, -7, 3856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.98628 milligrams to kilograms.\nAnswer: 0.00006998628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -166.\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*p*t**2*v - 8*p*t - 120697*p*v**2 - t**2*v**2 + 2*t**2*v + 37176262*t*v**2 wrt p?\nAnswer: 6*t**2*v - 8*t - 120697*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -8. Let a(j) = 76*j**2 + 11*j - 3. What is the remainder when a(1) is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3515050.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 1 - 1)*(446 - 446 - 29*p)*(3*p + 4*p - 2 - 6*p).\nAnswer: 29*p**3 - 58*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4 - 35*a**3 + 88*a**2 + 8372*a = 0. What is a?\nAnswer: -26, -23, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 1205?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 221623990453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*63\/(15309\/54)*(-114)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 51*z**2 + 62*z - 503. Let i be w(52). Solve -7*l + i - 3 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408\/((-238)\/14)*2\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbnnn. Give prob of picking 1 n and 1 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -30 + (-10 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 25*u**3 + 5*u**2 - u + 3. Let f(z) = -26*z**3 - 6*z**2 + 2*z - 3. Let i(v) = -6*f(v) - 7*r(v). Is i(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -35*z**2 - 4. Let q(p) = -63892*p + 127778*p - 63886*p - 2976*p**2 - 341. Give -341*c(f) + 4*q(f).\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263555179.\nAnswer: 47, 1019, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1818*k**2*n**2 + 2281*k**2*n - 954*k*n**2 + 194*k*n - 14*k - 7*n**2 + 1 wrt n.\nAnswer: -3636*k**2 - 1908*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 447*(0 - -11).\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -616949\/30 + 20565. Let f(k) be the third derivative of 0 + 0*k**3 - 1\/180*k**6 - 1\/18*k**4 + 0*k + a*k**5 + 27*k**2. Factor f(p).\nAnswer: -2*p*(p - 2)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41231566 - -15?\nAnswer: 41231614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*q*r**4 - 2*q*r**3 + 9*q*r**2 + 968*q*r - 5*q - 180*r**4 + 8*r**3 - 2*r**2 - 3*r wrt r.\nAnswer: -984*q*r - 12*q - 4320*r + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let g = -7 + 12. Let b(u) = -u - 1 + 2 - u + 3*u. Let c(n) = 2. Let q(t) = 2*b(t) - c(t). What is g*z(l) + 3*q(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 2*s - 3. Let h be (-1)\/(-4) - 18\/8. Let a(m) = 3*m**3 + 5*m + 7. Give h*a(l) - 5*v(l).\nAnswer: -l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 0*j + 12 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 7*t + 3. Suppose 3*i = -2*q + 7 + 2, 2*i = 3*q + 19. What are the prime factors of p(i)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*h**6 + h**5 - h**5 + 8*h**2 + 30*h**2 wrt h?\nAnswer: -1920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18485439 or -18485438?\nAnswer: -18485439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2\/29, 231\/53, -135 in descending order.\nAnswer: 231\/53, 1\/2, -2\/29, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*d + 2. Let m = -0.07 + 0.07. Let b = 187 - 2055\/11. What is the third biggest value in m, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 160127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31\/355 - 8\/71. Let z = 0.6 + 6.4. What is the smallest value in f, 1\/2, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1128 and 0.1.\nAnswer: -0.01128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162.2 - -8.4. Let z = -140 - n. What is z rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -23639572\nAnswer: -5\/23639572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*i + 195 = 0, x + i - 3*i - 42 = 0. Suppose -32*r = -27*r + 10. What is the remainder when x is divided by 4 + (36\/(-60))\/(r\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 7. Give w(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78495246 and 2823570?\nAnswer: 392476230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3160\/17 + -49661\/255. Let x = t - -49\/6. What is the common denominator of x and -77\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43549\/7434 + 102\/413. What is the common denominator of j and -71\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -80. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4, 5*l - 2*g = -7*g. Which is greater: l or 3\/16?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 59, -0.2, -0.018?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2 - 2 = -3*x, -n = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let l be 2\/4 + 0\/(-1). Which is greater: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.1 minus -34250?\nAnswer: 34277.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0171*0.1\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -74, 7, 0 in descending order.\nAnswer: 7, 3, 0, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -120, -169, -226, -297, -388?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*y - 556 + 536, -3*y + 6 = -3*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62052 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -35 (b) 1 (c) 2\/17 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -308156 + 141?\nAnswer: -308015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10223114 and 16.\nAnswer: 81784912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26545.7 + 26546. Let r be -2*(-2)\/3 + -1. What is the smallest value in -4, c, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - z - 20, -46*u + 6 = -49*u - 3*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/60 + c**4\/4 + 7*c**3\/6 + 10*c**2. What is a(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 6*v**4 - v**4)*((2 - 7 + 3)*(3 - 5 - 1) - 1 - 1 + 3)*(-17*v + v - 15*v).\nAnswer: 1085*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1831\/9 or -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27360 and 855648.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -5*t**2 + 1\/6*t**3 + 0 + 15*t. Give a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5529325 is divided by 49.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 + 33722090*v**4 + 75811934449805*v**3 + 56811846355355654100*v**2 - 113623920146649546000*v + 56811997979325720000.\nAnswer: 5*(v - 1)**2*(v + 2248140)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 247.7, 1\/7, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**5 + k**2 - 2*k**3 + 6*k**3 - 427*k + 0*k**2 - 2*k**2 - 10*k**3 wrt k?\nAnswer: -480*k**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.295 to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 114 = -3*o, 0*o + 104 = 3*o - 2*l. Suppose -2*s - s + 4*w + o = 0, -3*s + 51 = w. Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533127657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x - 576 + 1823 = -1270 + 229 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -88. Suppose 5*z - 4*t - 33 = 0, 4*z + 2*t - 26 = n*t. Suppose z*h + 314 = 3*p - 0*h, 236 = 2*p + 2*h. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -297, -1276, -2909, -5196, -8137, -11732?\n\"Answer: -327*y**2 + 2*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 1058*x**2\/7 + 3188*x\/7 + 304.\nAnswer: -2*(x - 532)*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myy when three letters picked without replacement from {m: 1, y: 4, k: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192912, 192911, 192910?\nAnswer: 192909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3))**(2\/3)\/(x**(-1\/5)*(x**(-5)*x)\/x) assuming x is positive.\nAnswer: x**(254\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.10347 (b) -0.1 (c) 0.3 (d) 2\/547 (e) 4 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1068 and 8?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in minutes?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3 + -2)\/1. Let y be ((0 + u)\/(-3))\/1. Is 2\/3 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 8\/13, 5, 32?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.158 and 0.21?\nAnswer: 5.28318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 equal to 304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sshh when four letters picked without replacement from shshsss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12*j. Let m be n(1). Suppose 4*o + 20 = -a, 4*a + 15 = -3*o - a. Let u = o - m. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387206 = 7132*j + 160414 - 678972 for j.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*h + 816*h + 6 + 7 - 417*h.\nAnswer: 38*h + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1160, 1047, 866, 623, 324, -25, -418, -849?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a - 4. Let h be u(-3). Let x = h + 18. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 3\/2*d**2 - 1\/6*d**4 + 0 + 3\/2*d**3 + 11*d. What is the second derivative of c(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -64. Suppose -z*d - 1293000 = 2*d. What is d rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -81, 4\/3, 0?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 695809576423.\nAnswer: 695809576418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2106186101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8453.0022212 - 8453. What is o rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -209827*((-16722)\/(-58968) + 4\/(-14)). Let w = s + -5377\/12. Find the common denominator of w and 53\/143.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 22*o**2 + 1. Let n be h(1). Suppose -3*k + 2*v = -91, 2*k - n = -2*v + 41. Let x = k - 14. What is the remainder when 65 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495925778 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**2 + 20 + 7*x**2 - 14*x**2 - x**3 + 21*x. Is 19 a factor of a(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/3 (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/15 - 3184*h**3\/15 - 12712*h**2\/15 - 12704*h\/15.\nAnswer: -2*h*(h + 2)**2*(h + 1588)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57178297 to the power of 1\/2, to the nearest integer?\nAnswer: 7562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -1345?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 14 = -5*t - 21, 2*l = 2*t + 18. Suppose -4*j + 5 = l*r, j + 4 = -0*j + 4*r. Sort 4, j, -1.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*g - 6 = -41, -5*g = -20. Solve -21*b + f - 68 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 + 46*s - 48. Does 93 divide b(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2501*l**2 - 37*l + 61*l - 24*l.\nAnswer: -2501*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i*v + 176661*i + 1279246*v wrt i.\nAnswer: -5*v + 176661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12178 divided by -2324\nAnswer: 6089\/1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17705, -10308, -2911?\nAnswer: 4486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 + 3)*(-3 + 2*n + 8 - 1) as h + t*n and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m. Let n(x) = 32*x + 363. Determine 6*k(y) - n(y).\nAnswer: -2*y - 363","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6819 - 6901 = -26*y + 4*z, 7 = y - 4*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) + sqrt(77)*1*5 + sqrt(77) + sqrt(77))))\/(sqrt(7) + 5*(1*sqrt(7) - sqrt(7)))*5.\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -y + 16. Let o = 41 - 19. Let l = y - o. Solve -10 = l*w + 4*b + 16, -3*b = -2*w + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053889808 rounded to six dps?\nAnswer: -0.005389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/2 + 3 + -5. Solve -4*j + u - 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 1221200?\nAnswer: -1221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:38 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {y: 3, k: 8, v: 2, u: 7}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 26 = 3*f. Let z = -7 + f. What is the lowest common multiple of 16 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 2308 = -2223 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a century in months?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a tonne in kilograms?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3*o + 2. Let n be b(3). Suppose 2*z + n*z = -4. What are the prime factors of 27\/(-2 + 5) - z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5924075 - 976*k**2 - 5924075.\nAnswer: -976*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -457\/2136 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -3. Suppose 2*x - 21*x = -19. Let p be -1*b*x\/(-8). Put 0, -3, p in decreasing order.\nAnswer: p, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 0.08505955?\nAnswer: 0.76553595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/3*p**2 - 140 - 478\/3*p + 2\/3*p**3.\nAnswer: 2*(p - 35)*(p + 1)*(p + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15680 and 461888?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1015103 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 225397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 29*f**2 - 14799*f - 10178. Determine k(511).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 110*w + 496. Let k be p(0). What is the greatest common factor of k and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnug when four letters picked without replacement from {x: 2, d: 2, g: 2, u: 1, n: 1, z: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - -0.14886?\nAnswer: 15.14886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/9*9\/6. Solve -t = c - 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + d**2. Let a be x(1). Let f be 98\/21 - ((10 - a) + -4). Which is bigger: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2000 = 4*t. Let m be (2\/(-5))\/((-5)\/t). Solve 4*c = -0*c + m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7872, -7941, -7934, -7845, -7668, -7397?\n\"Answer: r**3 + 32*r**2 - 172*r - 7733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -400323131?\nAnswer: -400323141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 + 13)\/(3\/6). Suppose 0 = -3*x + t*z + 615, -4*x + 5*z + 809 = 6*z. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1612 and 248?\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104031.\nAnswer: 3, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40672*q + 20550*q + 20424*q - 4.\nAnswer: 302*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 1247?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -40.61.\nAnswer: -3.6549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433583307?\nAnswer: 13, 19, 23, 277, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 5 + 2)*(-9*m**2 - 5*m**3 + 9*m**2) + (-4 - 1 + 4)*(-m**3 + m**3 + 2*m**3) to the form p*m + b*m**2 + q*m**3 + o and give q.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1879171*c**2 - 1503959 with respect to c.\nAnswer: 3758342*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24153, -48829, -73505?\nAnswer: -98181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 37. Let d(u) = -2*u - 110. Let f(i) = -3*d(i) + 8*o(i). Let t be f(17). Solve 2 + 14 = -3*h + 4*x, t = 4*x - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 11) to base 12.\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {x: 4, e: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119054175 to the power of 1\/2, to the nearest integer?\nAnswer: 46033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6100.5 + 6100. Which is the nearest to 0.8? (a) 3\/4 (b) x (c) 24 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 40.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*w - 162*w = 41*w + 70 + 1590 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 605 + 7*y**3 - 6*y**4 + 602 + 4*y**4 as j*y + b*y**3 + f + s*y**4 + c*y**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/((-190)\/5)*((-4)\/(-2))\/106.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6994468 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 81?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14087047 divided by 1083619?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 2. Give s(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*u - 16*u - 8040. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69201 is divided by 8648.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**2 + 10*d - 10*d + (-2 + 1 + 3)*(-3*d**2 + 4*d**2 - 3*d**2) + (d + 3 - 3)*(-2*d + 4*d - 4*d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50845, -101680, -152533, -203410, -254317, -305260?\n\"Answer: -k**3 - 3*k**2 - 50819*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -119, -163, -201, -233, -259?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*l - 1 = -20, g + 5 = -l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 21*y - 20*y = -31540, 0 = -4*m - 2*y + 63072. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 256*x - 261*x - 94, -2*x - 5*r = 56 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -8. Suppose -2*f = -20 + w. Let k be (-457736)\/(-232814) - (-4)\/118. What is the highest common factor of f and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - 1 - 4) + -1. Suppose 144 = n*x - 30. Calculate the common denominator of -82\/15 and -6*(2\/3)\/(12\/x).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from ffhhfofohfftfttfktfh?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02784325 + -1552.285.\nAnswer: -1552.25715675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91 - 3?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0 (c) 32 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-100)*(-8)\/42\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**5 + 3090*t**4 + 170665*t**3 + 2361690*t**2 + 4588720*t - 39878400 = 0?\nAnswer: -31, -16, -8, 3, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) + 6\/(-18). Suppose -18 = -p*g - g. What is the units digit of (-22)\/(-6) - g\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 20 + (-25 - -7 - 6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 - 17*m**4 + m**4 + (3*m**2 + m**2 - 2*m**2)*(0 + 0 - 2*m**2) + (-m**2 + 2*m**2 + m**2)*(-4 + 4 + m**2).\nAnswer: -15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 141580 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3892188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-26)*(k*k\/k**26)\/k)\/((k*k**(-27))\/k**27))**(1\/8) assuming k is positive.\nAnswer: k**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -88864*m + 622062. Give f(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/8 + 3\/(-12). Let x be (-4936)\/(-44) - y\/(-11). Let g = x + -74. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -194, -2, 0, 897, -3 in descending order.\nAnswer: 897, 0, -2, -3, -5, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*l - 2*v, -5*l - 5*v - 3 = 17. Let t be 0 - (0 + l*-7). Suppose -3*f = -t*f + 96. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3850)\/280*(-4)\/5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203211 + -11?\nAnswer: 203200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 507*-189560\nAnswer: -96106920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264, -529, -786, -1035, -1276?\nAnswer: -1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 198282424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 19764 = -21*h. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7220, -7278, -7330, -7376, -7416, -7450, -7478?\nAnswer: -7500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.021 (b) -3 (c) 84 (d) 2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1669, -3332, -4991, -6646, -8297, -9944, -11587?\nAnswer: -13226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9\/4)*f)\/(f\/f**(-2\/17)*f) assuming f is positive.\nAnswer: f**(-229\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3\/6 - 3*f**2\/2 - 5*f. What is the remainder when 24 is divided by o(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/17459 and -43\/5372?\nAnswer: 69836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*l + 27*l = 52*l + 1463 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.034 - -0.034. Let l = j + 13.2. Which is the closest to 0.1? (a) l (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5)*-2 + 1 + (sqrt(5) - (sqrt(80) + 1)).\nAnswer: -5*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 - 88 = 24*a + 386 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 3888?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.85 - -10. Let t = m - 1.14999787. What is t rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10541 - -10540.7. Let p = -15 + 11. Sort a, p, 0, 2.\nAnswer: p, a, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (35 + -9 + -6) - -26\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = -5*a + 10, -2*x - 3*a + 21 = 0. Suppose 6*q = q + 25. Let p(c) = -c**2 - 3*c + c**3 + c + q*c**3 - 5*c**x. Give p(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 10:13 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 5*s - 4*m, 4*s + 286*m - 284*m - 14 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996179 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 + 3*n**2 + n**3 - n**4 - n**4 + 4*n**4 + n to h*n**2 + w*n**3 + f*n + x + r*n**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 5, e: 1, i: 1}. What is prob of sequence fe?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 1\/25 (b) -3\/8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 891 and 1881.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f - 4. Suppose 0 = f*q - 169 - 756. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27a580 - -1?\nAnswer: 27a581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 210788657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5654, 2, 16 in descending order.\nAnswer: 16, 2, -5654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*b**(-2\/5)*(b**(4\/3)\/b*b*b)\/b*b**(4\/5)\/b)**(-3\/26) assuming b is positive.\nAnswer: b**(-17\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20444225537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*j + 45 = j, 3*i - j + 26 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/8)\/(((h*h**11\/h)\/h)\/h))**(2\/19) assuming h is positive.\nAnswer: h**(-75\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 431*y - 58916 + 372*y - 181*y + 58915 to d*y + w and give d.\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 109291983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 13*l**2 + 29*l + 21. Let j be f(15). Suppose -9*u + 2157 = -j*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294350, 588738, 883180, 1177700, 1472322, 1767070, 2061968, 2357040?\nAnswer: 2652310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74100 by 950.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.395.\nAnswer: -1.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - -0.13. Let s = i + -0.04. What is the second biggest value in 4, -1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -100110110000010110?\nAnswer: 100110110000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - 1. Let n be z(-3). Let u = 16 + n. Let c(o) = 2*o - 9. Give c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.216 - 4.2. Let i = 0.944 + c. Round i to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 14*b - 2 - 1 + (b + 2*b - 4*b)*(-3 + 5 - 3) + 2*b - 2*b + b - 4*b + 3*b + 2*b + 3 + b - 3 - 21 + 8*b + 21.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**5 + 135847*q**4 - 2*q**2 + 5*q - 734.\nAnswer: -120*q**2 + 3260328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2075, -4148, -6221?\n\"Answer: -2073*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)\/h)\/h)\/(h\/h**(2\/3)*h) assuming h is positive.\nAnswer: h**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**9\/252 - d**5\/15 + d**3\/3 - 2*d**2 + 6. What is the third derivative of p(k) wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -329?\nAnswer: -3\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - 0. Let i = -0.3 + b. What is the nearest to 0 in i, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*i = 35*i + 43258 + 35350. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 1, 14, -3\/7, -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50282131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c - 23*c + 66*c - 26*c - 26*c + 41*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - (-49 - 31 - -67).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhaudruhd. What is prob of sequence uju?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 65*x - 6686. Determine j(-56).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186925865257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15055 and 0.5.\nAnswer: -0.075275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 12 - 13. Let z = 2 - t. Let f be ((-1)\/z)\/((-2)\/(-12)). Solve 0 = w + f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = 2*m - 11, -2*m = 5*x + 9. Let p(c) = 920*c**2 + 14*c + 8. Let d be p(m). What is d rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 19*o**3 + 9*o**2 + 9. Let a be (-9)\/(0\/1 - -1). Suppose -15 = 5*n - 2*b - 3, -b = -2*n - 5. Let h(c) = -5*c**3 - 2*c**2 - 2. Give a*h(u) + n*s(u).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 25179591?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 78*j**3 + j**2 - 27*j - 3. Let i(h) = 232*h**3 + 3*h**2 - 77*h - 9. Calculate -6*i(a) + 17*n(a).\nAnswer: -66*a**3 - a**2 + 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1451 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 816*b*d - 15*b + 42895*d with respect to b.\nAnswer: 816*d - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*b - 155 = -141*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 210 = 11*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200853*k + 66961*k - 3 + 66944*k + 66958*k.\nAnswer: 10*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233.18432 rounded to the nearest ten?\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose 0 = 3*k - 4*x - 17, -2*k - k + x + n = 0. Sort k, 0, -2.\nAnswer: -2, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 74120*i + 1185915. What is u(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -389, -684, -1047, -1478, -1977, -2544?\nAnswer: -3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + x**4 - 2*x**2 - 7*x**2 - 4 + x + 9*x**2 in the form b*x**2 + c*x**4 + o*x**3 + p + d*x and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1110*(0\/8 - 251). What is g rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 33, -2, 1.\nAnswer: -6, -2, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 47 + 67 = -5*h, -2*h - 8 = 4*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.761 - 1.061. Put a, -4\/7, -0.2 in decreasing order.\nAnswer: -0.2, a, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -99862 and 2.\nAnswer: -199724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Let v be (-15)\/6*(-12)\/10. Sort m, v, 2.\nAnswer: m, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 839\/(-67959) - 111\/(-243).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -4708 + 109. Let c = 16 + -11. Suppose -5*l = -s - 590 - 247, 0 = -3*l + c*s + i. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-177)\/1298*110*2\/55?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 3:06 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -3*s - 4*a, -211 = -4*s - 3*a - 2*a. Calculate the common denominator of 4 - 5 - s\/(-4) and 81\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-90)\/12)\/(6\/6822008). Let v = 3927510 + z. Round v to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119074029 take away 157032?\nAnswer: 4118916997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1746 and 4256\/2 - (2 + 126\/(-9) + 6)?\nAnswer: 19206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 5:26 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203411125 (base 6) to base 15.\nAnswer: 49b72e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7045733 a multiple of 1544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -60.6, -5\/3 in descending order.\nAnswer: 4, -1, -5\/3, -60.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -39*n - 1. Let c be (6*4\/8 - 1)*-5. Is d(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**2 - s**3 + 145*s + 15*s**2 + 306*s**4 - 9*s**4 - 145*s to j*s**2 + t*s**3 + r*s + p + d*s**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10573*m + 84577. Give l(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 41387 divided by 12\nAnswer: 41387\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8441 (base 9) in base 13?\nAnswer: -2a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 0 + (-20 + -75 - -105).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93681 and 11844.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 8:41 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(18\/(-12))*3\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 16*c**2 + 17*c + 49. Let i be x(17). Let j(o) = -7*o + 347. Let b be j(i). Suppose -15 = -3*l - 0*l. Put l, b, -2, -3 in increasing order.\nAnswer: -3, -2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/12*(-2)\/(-12)*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47994*p**5 + 2*p**4 + 2*p**2 + 63573*p.\nAnswer: 2879640*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/(-90) + ((-152)\/336*-6 + -3)*-14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 135 = -22*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-63)*-3)\/((-5)\/15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.2.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*3\/12*-4*1. Let j = 7 - 11. Sort -1, j, o in increasing order.\nAnswer: j, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 7*j. Let p be v(7). Calculate the remainder when 20*(28\/10 - p) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2197*r**3 + 12*r**2 - 12*r + 18. Let v(u) = 681070*u**3 + 3718*u**2 - 3718*u + 5577. Give -1859*s(c) + 6*v(c).\nAnswer: 2197*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -1083*s**6\/40 - 11837*s**5\/20 + 313*s**4\/3 - 22*s**3\/3 - 34*s**2 - 19. Factor t(p).\nAnswer: -(p + 11)*(57*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295185270 to the power of 1\/3, to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 296, 311, 342, 395, 476?\n\"Answer: g**3 + 2*g**2 + 2*g + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-18)*c*(c**11*c*c)\/c)\/(c**(-1\/5)\/(c\/(c\/(c*c**(-6\/11)*c)*c))))**(-5\/9) assuming c is positive.\nAnswer: c**(184\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 5*p = -12*f - 7, 0 = 3*f + p - 9. Let w be -2*1 + (-28)\/(-105)*9. What is the nearest to -0.1 in 2\/13, w, f, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14402\/133*(-7)\/(-2). Let l = -1133\/3 + p. What is the second smallest value in 0, 5\/7, l?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547570440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 5*f - 4, 0 = 2*m - 5*m - 5*f - 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) 3 (b) 4 (c) 11 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1657 divide 18414241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**2 - k**2)*(0*k - k - k) + 90 + 5*k**3 - 90 - 2*k**3 + 0*k**2 + 0*k**3 + 3*k**2.\nAnswer: k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*s - 70, 1797 = -3*s + 1782. Calculate the remainder when 3314 is divided by q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215460 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24334*a**4\/13 + 7406*a**3\/13 - 4554*a**2 + 3250*a - 676 = 0 for a.\nAnswer: -2, 13\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**5*m + 36*c**5 - c + m wrt c.\nAnswer: -80*c**3*m + 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 2*b - b)*(5*b - 2 + 3 + 2).\nAnswer: 10*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {w: 1, m: 1, o: 5, p: 3}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 18 - 8. Suppose 4 = 3*a - 2*a. Let k(c) = 8*c + 1. Let g be k(a). Solve -5*r + g = 5*p - 2, 3*p - u*r = -11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1 - 5 + 4 + z - 10*z. Suppose 0 = -0*d + 4*d - 244. Calculate the remainder when d is divided by i(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 5, b: 7}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 266675 times -31.9?\nAnswer: -8506932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -88*a + 882. What is b(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3*k**3 + b**3*k**2*x - 3*b**2*k**2*x + 15*b**2*k*x - 1030*b*k**3*x - 15*k**3*x - 2*k**2 - 21*x - 1 wrt k?\nAnswer: 36*b**3 - 6180*b*x - 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*o = -39, -4*q + 138 = -2*o + 20. What is the smallest common multiple of 12 and q?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*1\/(-8)*2. Suppose 0 = 2*f + u*p - 27, 0 = 2*p + p - 15. Solve -2*m + f = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25637160*b**2 - 9814248*b?\nAnswer: 51274320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/7, -4, -104, 0.2, -0.007 in ascending order.\nAnswer: -104, -4, -2, -0.007, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -1. Let d = t - 1.5. What is the closest to 1\/4 in -0.4, 1, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(684)*-1.\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, 46, 106, 190, 298?\n\"Answer: 12*k**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58771 + 25*l**3 - 58768 + 53*l**3.\nAnswer: 78*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g - 42*g - 440 = 0. Suppose -3*o + 157 = p, -4*o + g = 4*p - 0*p. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-6\/7)*((o*o\/(o*(o*(o*o**(7\/4))\/o*o*o*o)\/o*o)*o)\/o)\/o*((o**(-3\/2)\/o)\/o)\/(o**4\/o) assuming o is positive.\nAnswer: o**(-311\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -14, -2\/29, 4, -1 in descending order.\nAnswer: 4, 3\/5, -2\/29, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocooccohobohcoo. What is prob of sequence chhb?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510279 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(-1)*107\/(1498\/980).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8896.79294 + 0.65.\nAnswer: 8897.44294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*t**2 - 53*t**2 + 176*t**2 - 18*t**2 + 1 - t + 167*t**2.\nAnswer: 353*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/15)\/((-8)\/10). Let u(y) = y**2 - y + 2. Let t be u(1). Suppose 0 = 3*x + h - 6, -x + t*h + 2 = 5*h. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4448 is divided by 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 27 (c) -0.6795\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03157 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 305.\nAnswer: 4\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*m = 115*m - 63 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/30*-230 + 2\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1500) - 2*sqrt(1500))\/sqrt(12).\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -70. Let a = 31 + p. Calculate the smallest common multiple of a and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 11:46 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**2 + 5*o**5 + 25\/3*o**4 - 145\/3*o**3 + 130\/3*o - 40\/3 = 0?\nAnswer: -4, -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 - -3.9368\nAnswer: -139.0632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - -35. Suppose -15 = 3*c - i. Solve -3*j + 3*r = -2*j + 3, -c = -3*j - 3*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*h - 2781 = -2801, -2*t = -3*h + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 + 5*u - 11. Let o = 130 - 134. Let s(p) = -2*p**2 - 2*p + 4. Let f(b) = b**3 - 4*b**2 - 7*b - 1. Let x be f(5). Give o*y(a) + x*s(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 5. Let k(t) = t + 2. Let v(q) = -2*a(q) + 5*k(q). Let n(z) = 6*z - 2. Let i = 5 - 6. Let b(f) = i*n(f) + 8*v(f). Differentiate b(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llpplgllnllpgpngllp. What is prob of picking 2 g?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*p - 2*p. Let o(m) = -3*m + 3. Does 5 divide o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 5*v - 3. Give g(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5798 and 19178.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 14 + 14)*(1 - 2 - 1 - 3 + 1 + 1 + 1 + 2 - 5 + (1 - 4 + 5)*(2 - 1 + 1)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/13 + 48*f**3\/13 + 332*f**2\/13 + 528*f\/13 + 242\/13.\nAnswer: 2*(f + 1)**2*(f + 11)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -88, -284, -662, -1282, -2204?\n\"Answer: -10*z**3 - z**2 - z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 132, 10.4, -3, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/2157314 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*p)*(-810*p**3 + 21369*p**2 - 21369*p**2).\nAnswer: -3240*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 - 83 - (-2 - 14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16*2*2\/(-8). Suppose -7*x = 25 - 81. Let o = d + x. Round o to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-8)\/1099828) + 1*4. Let o = -542961 + f. What is o rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12\/(t*t\/(t*t**(2\/11))))\/(((t**2\/t)\/t*t)\/t)**(-42) assuming t is positive.\nAnswer: t**(123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 2, k: 1, q: 1, b: 2, o: 2}. What is prob of sequence qkab?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 4*k + 3. Does 22 divide j(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owoooowwwwoowh. Give prob of sequence hw.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12 and -25\/684?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2144 = -4*a, -4*a + 5*a + 511 = 4*w. Let d = a - -4787\/9. Solve d + 16\/9*q + 10\/9*q**2 + 2\/9*q**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54794667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100070273?\nAnswer: 271, 369263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 1333?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -182814 - -41765553?\nAnswer: 41582739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*f + 2793 = -4167*f + 62084 + 9124 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:00 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 418, 4312, 15128, 36316, 71326, 123608, 196612?\nAnswer: 293788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37248)\/96)\/194*22\/(1\/1).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-28) - (-6)\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -140. Let w = 71 + m. Let y(n) = -n**2 - 14*n - 9. Calculate the remainder when y(-11) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54776 by 27388.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let f(q) = -4 + q + 4. Let w(s) = s + 7. Let d be w(-8). Let a(x) = 2*x**2 + 3*x. Let t(g) = d*a(g) + 3*f(g). What is k(t(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1469, -6095, -14333, -26615, -43373, -65039, -92045, -124823?\n\"Answer: -72*b**3 - 1374*b**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/13490691 and 7\/48.\nAnswer: 215851056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + 3*m**4 - m**4)*(2*m + 0*m - 17*m)*(-3 - 1 + 2).\nAnswer: -30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 4:18 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(27) - sqrt(6)\/(sqrt(8)\/sqrt(4))).\nAnswer: -10*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*r = -120, 0 = -2*d + 7*d - r - 177. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/3 - 17627*f**2\/3 - 77686595*f\/3 - 77668969\/3 = 0.\nAnswer: -8813, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3845*i**3 + 189*i - 14.\nAnswer: 23070*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -1. Suppose 4*x = -5*r + 29, -4*x - x - 15 = -4*r. Which is the nearest to y? (a) -0.1 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -21 + (27 - (-28 - -66))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234034 + 2?\nAnswer: 234041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1380, 1323, 1242, 1137, 1008, 855, 678?\n\"Answer: -12*i**2 - 21*i + 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*t + 8. Which is the nearest to 0? (a) t (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13512252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - 1*(5 - 1). Suppose 0 = 2*l - 4*l - 4*d, -2*l + n*d = -16. Suppose -5*p - x + 145 + 146 = 0, l*p = x + 231. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 483 (b) -7\/3 (c) 1\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11629*w + 928. Let g(f) = 151*f + 12. Calculate -232*g(v) + 3*r(v).\nAnswer: -145*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169536 - 19452 + 80955 = 199*k. What is the remainder when k is divided by 231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -102, -104, -106, -108, -110, -112?\n\"Answer: -2*o - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 1571?\nAnswer: -1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - f**2 - 5*f**2)*(-58 + 22 + 21 + 2*f).\nAnswer: -2*f**3 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s - 43. Let q be b(8). Let a(h) = -2*h - 10. Let f(j) = -3*j - 8. Let m(o) = q*f(o) - 4*a(o). Let x(r) = -27 - 2*r**2 + 27. Give m(x(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111010011 - 101010111011?\nAnswer: -1001010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 - 10 = 0. Suppose -5*i + 27 - 267 = 0. Suppose -3*t = z - 19, 0 = -466*z + 463*z + 12. Sort q, t, i in decreasing order.\nAnswer: t, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.035 - -0.305. Let k = g - -0.06. What is the biggest value in 3, 9, k?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 3\/2 (b) -0.2 (c) 0.3 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/47890 and 7\/325652?\nAnswer: 1628260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8638730.82 and -0.87.\nAnswer: -8638731.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 + 66*q**3 - q**2 + 60 - 53*q**3 + 74 - q as b + w*q + s*q**2 + m*q**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 12*y**2 - 11*y - 34. What is v(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*h + 105 = 0, 4*h + 95 = -0*y + 3*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:43 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*o + 8. Let u(c) be the third derivative of -c**4\/24 + c**3\/6 + c**2. Is 3 a factor of u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-17 + (13 - -1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let s(g) = -g**3 - 8*g**2 - 15*g + 5. Calculate the remainder when f - (-256)\/(1 - -3) is divided by s(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -948c8 + 1b?\nAnswer: -948aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0 + 12. Let m be (3\/(-1) - -3) + 11. Suppose -147 = m*w - 18*w. Solve -5*x + w = -t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m - 18*m + 4*m + 94.\nAnswer: -2*m + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5 - 6*x**4 + 2*x**3 + 14*x**2 - 8 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 30 = -5. Suppose -2 = a*o - 6*o. Let j = -156.3 - -156. What is the biggest value in j, 20, o?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 3041, 5 in ascending order.\nAnswer: -8, 3, 5, 3041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 15 = 0. Find the first derivative of 3 - 4 - 2*b - h + 1 wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17763627 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*m + 19 + 24 = 0, 3*d + 2 = 4*m. Let y(x) = x + 1. Let v(j) = 4*j + 5. Let o(i) = d*y(i) - v(i). Determine o(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, 2, -3, 40, -5 in decreasing order.\nAnswer: 40, 2, -3, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443 + 103502*l + 138268*l - 443.\nAnswer: 241770*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 0*k**2 + 1\/3*k**3 - 13 + 1\/2*k**6 + 0*k**5 + 0*k + 0*k**4. Find the third derivative of j(m) wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-68)\/(-6 + 2 - -2). Suppose 0 = 5*i - 2*k + 42, 4*i - k = k - s. What is the least common multiple of i\/32 + 66\/8 and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2320012010321?\nAnswer: -2320012010332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**4 - 28*l**2 + 0*l**4 + 41*l**3 + 5*l**4 + 3*l**3 - 588*l - 14*l**4 = 0.\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 4. Calculate i(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9900 + -25?\nAnswer: -9925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 divided by -1?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -0.022, 4, 21, -3\/29, -0.5?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 - 1.9. Which is the closest to -2? (a) j (b) 0 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -9*o + 25 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -734, -732, -730?\nAnswer: -728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -132. Let q = 16 - -101. Let b = q + k. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 0, w - 9 - 24 = 3*k. What is the remainder when 119 is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 2.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 330*d + 27137. Determine z(-167).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43865 divided by -3.\nAnswer: -43865\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3 (c) 6 (d) -17\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 32171*h**2 + 100*h - 8559. Let n be o(77). What is n rounded to the nearest 1000000?\nAnswer: 191000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w + 8 = 0. Let o = w + 4. Solve -4*x = -4*i - o*x - 18, 0 = -3*x + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 5*f**4\/4 + 2*f**3\/3 + 4*f - 61. Let h(l) be the first derivative of l**4\/4 + l**3\/3 + l - 12. Give 2*h(v) - q(v).\nAnswer: -3*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29154481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114 in -7\/9, -0.3, -9, -1\/11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18441715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312978.\nAnswer: 2, 3, 52163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -42?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -81 (b) 0 (c) -887\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3 + 1215458*a**2 - 1215461*a - 2430918 = 0. Calculate a.\nAnswer: -1215459, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*m, 6*t - t - m = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16255 - 16253. Which is the fifth smallest value? (a) -1 (b) o (c) 174 (d) -2\/11 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 31*b**2 + 18*b - 12. Let y be k(-13). Let r = -381 + y. What are the prime factors of r?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372074128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.14 + 14. Let o = s - -1.14. Put 3\/4, o, 5 in decreasing order.\nAnswer: 5, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 14*m = -48 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 313?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/49, 0, 2\/1351 in decreasing order.\nAnswer: 2, 2\/49, 2\/1351, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3788966 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - q + 75. Suppose -3*r = -q + 120. Let d = 45 + r. What is the least common multiple of d and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -19, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22590 + 22582. Let b(w) be the first derivative of 8*w**3\/3 - w**2 + w + 1. Let m(u) = -12*u**2 + 3*u - 2. Determine k*b(a) - 5*m(a).\nAnswer: -4*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1373*t**2 + 6*t. Let g(n) = -1373*n**2 + 5*n. Determine 5*d(h) - 6*g(h).\nAnswer: 1373*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f)**(-3\/2)\/(((f*f**(2\/3))\/f)\/f**32) assuming f is positive.\nAnswer: f**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/45 - -1511\/90. Let o = 32 + -23. Calculate the common denominator of 150\/(-8)*10\/o and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 15*v - 3*v - 56010 + 55212 for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2111*b - 2 + 2.\nAnswer: 2111*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*i + 13 + 51, 2*i = w + 46. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -88\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696381, 1392710, 2089039, 2785368, 3481697?\nAnswer: 4178026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 10*u**2 + 3\/560*u**8 + 0*u - 39\/100*u**5 - 17\/350*u**7 - 2\/5*u**3 + 37\/200*u**6 + 1\/2*u**4 + 0. Find x, given that o(x) = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-2)\/6*-3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13*z**2 - 7*z + 7. Let m(h) = -4*h**2 + 2*h - 2. Let n(t) = -7*m(t) - 2*r(t). Let b(l) = 16*l. What is n(b(f))?\nAnswer: 512*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/6 - i**3\/3 + 11*i**2 + 15*i + 2. Let q(b) be the first derivative of s(b). Determine q(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5593396476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 64 = 6*r, -2*b - 19 + 87 = -5*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/8)\/(-7 - 1228\/(-176)). Let b = d + 259. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 48*l = 35037. What is the remainder when l is divided by 141?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5)*p**(-38))\/(p**(-14\/3)\/p*p)**9 assuming p is positive.\nAnswer: p**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 - -0.6. Let n be -3 - (3353\/(-9) - -2). Let h = n - 368. Which is the third smallest value? (a) y (b) h (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-115)\/(-46)*(-1)\/2. Which is the closest to 0.2? (a) j (b) -2\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Suppose q*x = -x + 32. Let u = 48 - x. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 5 - -1) + (1 - (-12 - (13 - 41))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 14*q**2 - 15*q - 1. Let k be o(-15). Is 12*k\/((-4)\/47) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25\/33 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - (-2 - -2)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -698174, -698155, -698134, -698111, -698086?\n\"Answer: p**2 + 16*p - 698191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183433?\nAnswer: 53, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 + 1910*b**3 - 40305*b**2 - 42210*b = 0. Calculate b.\nAnswer: -402, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -482, -1677, -4006, -7847?\nAnswer: -13578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/3)\/((-295)\/(-118)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, 70, 235, 544, 1045, 1786?\n\"Answer: 8*u**3 + 13*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99274841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294209 and 21032?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 895 + -893. Solve -3*k - 2*k = m*p + 30, 4*k = p - 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 794, 770, 738, 704, 674, 654, 650, 668?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 16a?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*1*1\/(-2). Let h(n) = n + n**2 - 2 - 1 + u*n. Is h(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a + 410. Suppose 5 = -5*n + 6*n. Suppose -5*j = p - 140, -j + 1 = -n*p - 1. Calculate the lowest common multiple of j and b(29).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x - 20 = 0. Suppose -3*h = x - 64. Solve 0*b - h = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(176\/(-180)))\/((-2718)\/2416).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12989, 103991, 351017, 832085, 1625213?\n\"Answer: 13003*i**3 - 6*i**2 - i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 - -82. Let v be 5\/3 - 2 - x\/18. Let n(g) = 404*g - 15. Is n(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11820\/1182 - (-34)\/(-3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3034*h**2 + 3032*h**2 + 79 - 6067*h**2 in the form s*h + x + o*h**2 and give x.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 101526720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.32214791 rounded to the nearest integer?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162968.58ms to minutes.\nAnswer: 2.716143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*z - 19 = -3*a, -3*a = 5*z - 107. Solve -b + v = -6, b + 2 + z = -5*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/807, -1\/3, -0.1, 37?\nAnswer: 2\/807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23116907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3932*i**2 + 3077 wrt i.\nAnswer: -7864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -789, 5, 4, -1\/3, -2?\nAnswer: -789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -61. Suppose m = 3*j + 14, 2*m - 2*j = -j + s. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170c52 (base 13) in base 14?\nAnswer: -10cd11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*z + 131*r - 126*r = 16, z + 2*r - 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2. Let f(v) = -989*v**2. Give b(f(y)).\nAnswer: -978121*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425594?\nAnswer: 2, 13, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 77. Let b be (18\/12)\/(4\/t). Solve -4 = -o + b*u, o + 0*u = u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2454 - 28691?\nAnswer: -30035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbrrrrrk. Give prob of sequence rr.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 207283508477 plus 71?\nAnswer: 207283508548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196\/3 - -66. Let x(w) be the first derivative of 0*w - l*w**3 + 1\/2*w**4 - 1\/3*w**6 - 1 + 0*w**2 + 2\/5*w**5. Determine r so that x(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 1425 = 1434 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1984 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 4*r + 5. Let h(k) = k**2 - 3*k - 16. Let z be h(5). Determine s(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 355 - -447. What are the prime factors of s?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*d**3 + 729*d**3 + 732*d**3 - 3665*d**3 + 745*d**3 + 736*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - z - 135. Let c = z - 30. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*k - 21 = 0, -2*d - 3*k = -0*k - 9. Let g be (-2)\/13 - (-134)\/26. Solve d*c - g*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/9*(-121)\/(2662\/(-132))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - 1 - (-75 + 9 - -52)) + -19\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 833*t**4 + 386 - 11*t**2 - 6*t**2 + 13*t**2 + 4*t**2 wrt t?\nAnswer: 3332*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2\/3 - 4158686*w\/3 + 4323667311649\/3 = 0.\nAnswer: 2079343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 63*r = 573, 0 = 61*z - 65*z + 3*r - 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - 18*q**2 + 16*q - 7. Let h be n(11). Suppose -17*p - 1986 = 5851. Let v = p + h. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/3 (b) 0 (c) 26 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 4*r + 10. Suppose r*n - 41 = 61. What is the remainder when n is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (4*2*sqrt(170) - sqrt(170)) - -2*sqrt(170)*-1)\/(-1*(-2*sqrt(10)*2 + sqrt(640)*-2)).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0441 in 0.38, 0.2, -2\/11, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 2. Suppose 0 = s + r - 313, -s + 313 = 327*r - 323*r. Calculate the smallest common multiple of j(8) and s.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13235, 26465, 39681, 52877, 66047, 79185?\nAnswer: 92285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 29*s**2 + 31*s + 38. Let g be d(30). Suppose o = 126 + g. What is the remainder when o is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**5 + 1885*c**4 + 7355*c**3 - 39665*c**2 - 187000*c - 186500 = 0.\nAnswer: -373, -5, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-21))\/(2\/(-6)). Let i be -7 - ((-6)\/(-4) - 1057\/98). Factor -d - 2\/7*t**2 - i*t.\nAnswer: -2*(t + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -30.3, -2\/17 in decreasing order.\nAnswer: -0.1, -2\/17, -30.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -295*v**2 + 7*v + 627. Let g(y) = 99*y**2 - 2*y - 208. Let t(o) = -7*g(o) - 2*i(o). Differentiate t(p) wrt p.\nAnswer: -206*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 + 21*v**2 - 14*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -29, -2\/3 in descending order.\nAnswer: 0.3, -2\/3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**3*i*q**3 + 4*b**3*i - 2*b**2*i**2*q**2 - 2*b*i**2*q**3 - b*i*q**2 + 10*b*q**3 wrt q.\nAnswer: -30*b**3*i - 12*b*i**2 + 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1276046 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 7:20 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + 1.01. Let l(g) = 2 - 1 - 5*g**2 + 101*g - g**3 - 105*g. Let o be l(-3). Which is the third biggest value? (a) o (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 14 - 32*o + 13 + 5*o**2 - o**3 + 6*o**2 + 2 = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 3*f + 1. Let y = 2 - 22. Let l = y - -23. Calculate the remainder when l is divided by p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 1\/12*a**4 - 11*a - 4\/3*a**3 + 3*a**2 + 0. Give b(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 779 + -23. Suppose 5*q = 3*i + 537 + 335, 0 = -3*i + q - 868. Let b = l + i. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d + 6. Suppose -10*a = -40 - 10. Let v(j) = -j + 1. Calculate a*v(q) - f(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/i**(-5)))*i*i**(28\/3) assuming i is positive.\nAnswer: i**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - z - 41 = 0, 5*r = 2*z + 3 + 67. Let v be ((-2)\/4)\/((-2)\/r). Solve 2*g - 9 = i, v*g = -0*g - 5*i - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 262, 612, 1102?\nAnswer: 1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/13 (b) -2 (c) -0.2 (d) -1\/58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4520285 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 10*i**2 - 4*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -33\/50 (b) -1\/8 (c) -0.06 (d) 0.3 (e) -0.07 (f) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 2*m + 98, 5*u = -18*m + 33 - 175 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.2. Let a = 136 + -138. Is j <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10410732 by 68044.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157.03 - -157. Let v = 0.037 + 0.193. Let w = v + m. Which is the closest to 0.4? (a) w (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + 2860 - (-21 - -26).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)\/o)**(-2\/33))**(-1\/31)*(o**(-5\/2)\/((o**6*o)\/o))**(-4\/7) assuming o is positive.\nAnswer: o**(57956\/11935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 38. What is c(-90)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -20*z**2. Let m(c) = -c + 72. Determine p(m(k)).\nAnswer: -20*k**2 + 2880*k - 103680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 80671.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from vwwcctwwwwcw?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -69056b?\nAnswer: 690571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 429 = -312. Let j(u) be the second derivative of 1\/2*u**6 + 0 - 20\/3*u**3 - 65\/12*u**4 + 10*u**2 + 1\/2*u**5 + m*u. Let j(f) = 0. Calculate f.\nAnswer: -2, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2549, -0.3, -0.1, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2) + -1) + sqrt(2)*-2 + -1)**2.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1, 1, -4, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2, -v - 4*s + 16 = 2*v. Let o(m) = 2*m - 7. Calculate the remainder when 16 is divided by o(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i + 3. Let n be 9\/(-15) + 3*(-132)\/90. Let g(m) = -9*m + 7. What is n*f(s) + 2*g(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(408)\/(sqrt(8) - (sqrt(800) - sqrt(8))) + sqrt(51))\/(sqrt(3) - (sqrt(192)*2 - sqrt(3))).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 158*j**3 + 41*j**3 - 35*j**3 + (-3*j + 3*j - j)*(j - j + j**2) + (26 + 6 - 6)*(2*j**3 - 7*j**3 + 2*j**3).\nAnswer: 85*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 10 = 2*t, 4*b = 3*t + 8 - 33. Is 24 a factor of 1 + ((-764)\/b)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:20 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/4 - 5*v**3\/3 + v**2 + v - 263. Determine y(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 - 43 = 0. Let c = i + 68. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p - p + 3*p + (3 + 0 - 5)*(-2 + p + 2) - 1206 + 1206 + 32*p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 11792?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*246*(-1883)\/11298.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*l + 1 + 27*l - l**2 - 2 + 0 - 7*l**3 in the form x*l**2 + k*l + z*l**3 + u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 33 = 3*l. Let f = 27 + l. Solve -5*b + 0 = f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 664*u + 1106. Calculate j(-1).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 37, 73, 109?\n\"Answer: 36*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 + 3.6. Let l = 2.04 + -0.04. Let t = l - 2.1. Which is the closest to t? (a) -0.1 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6813 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 991, 850, 611, 274, -161?\n\"Answer: -49*z**2 + 6*z + 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10 - 21 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q - 3*q)*(-4*q**4 + 4*q**4 + 2*q**4) - q**5 - 4*q**3 + 4*q**3 - 7*q**5 - 11*q**5 - 2*q**5.\nAnswer: -17*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*i - 7 = 0, -7*f = -3*f + 4*i - 20. Suppose 5*q - 55 = o, -20 = -f*q - 6*o + 4*o. Calculate the remainder when 36 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**2*x*x*x)**(-2\/59))**39)**(-1\/67) assuming x is positive.\nAnswer: x**(468\/3953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/216)\/((-345)\/(-138))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*h + h. Differentiate 12 + h*o - 3 - 18*o wrt o.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32538*h + 32538*h - 7*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183\/61)\/(3\/(-7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -85*s**2 + 1445*s - 73 + 5\/3*s**3. Solve h(w) = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*b**2*k**2*v + 2*b**2 + 48*k**2*v**3 - 2*k*v**3 - 3*k*v**2 wrt k.\nAnswer: 40*b**2*v + 96*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {h: 8, r: 9, p: 2, i: 1}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1023 plus 3.5670445414?\nAnswer: 3.6693445414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7155 and 32187165?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 33*f**2 + 56*f + 416. What is the units digit of z(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from bdrxxr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 - -0.01. What is the third biggest value in 1, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.1125 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94842203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/20 + p**4\/8 + p**3\/3 + 16*p**2. What is d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1986 - -1079. Is v\/(-1)*1\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*s = 4*s - 74, -2392 + 2481 = -5*w + 2*w - 4*s for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - x + 2*x)*(1 + 3 - 2)*(-15 + 11 - 11) as c*x + r and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -8 + (6 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*m - 15 + 1, 3*h + 16 = 5*m. Solve 0 = -2*r + 3*k - 22 + m, 22 = 3*r + 5*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - t - 4, -20 = 7*r - 2*r - 3*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -832, -3333, -7508, -13357?\n\"Answer: -837*s**2 + 10*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 411 - 412. What is the third smallest value in l, -2, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/124 - (-70)\/1085\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c6d3 (base 15) to base 5.\nAnswer: 201121143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13255.\nAnswer: 5, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + 0 + (6*(sqrt(17) + sqrt(153)) - sqrt(17)) + 3 + sqrt(187)\/(sqrt(11) + sqrt(11)*2).\nAnswer: 3 + 103*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 13*o**2 + 26*o - 36. Let b be p(-15). Calculate the greatest common divisor of b and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 2. Let q be x(-2). Let c(z) = z**3 + z**2 + 37. Is c(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*b + 0)*(-4 + 1 + 1)*(-3 + 0 - 3)*(4 - 2 - 1)*(-77 - 39 + 14).\nAnswer: 3672*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 5*g - 8, 3*c - g - g = -1. Let n(r) = -1 - 17*r + 38*r - 24*r. Let w be n(c). Solve w = k + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3220024890 and 1.47?\nAnswer: 3220024888.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 41. Let a be (-3)\/h - 70\/(-15). Suppose -883 = -t + 5*f, -a*t - 5*f = -0*f - 4295. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 20*g + 2. What is n(21)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 4, 0.5, 0.3, -0.49?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4347\/(-126)*2\/(-3). Suppose 108 = -14*x + b*x. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 34*3\/21. What is the closest to 1\/2 in 0, -3, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - 42*y + 175. Calculate f(4).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10763008 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -200 + -23278?\nAnswer: -23478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**2 + 8*n - 9*n**2 - 5*n**2 in the form p*n + t*n**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 - 39.81. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 divided by 21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojj when three letters picked without replacement from {d: 7, u: 7, j: 2, o: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57277 is divided by 567.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 380321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 1723 = 2155. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9871317000 to the nearest one million.\nAnswer: 9871000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -250, 0, 50, -9.\nAnswer: -250, -9, -5, -1, 0, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u + 35*u + 6*y - 21 = 15, 17*y = -5*u + 102 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -10, -31, -72, -139, -238, -375?\n\"Answer: -y**3 - y**2 + 3*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453139.\nAnswer: 37, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + 47. Let t be (-83)\/(-2)*(-10 + 60 + -12). What is the highest common factor of t and b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2777418 and 295470?\nAnswer: 13887090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 78850.34l in millilitres?\nAnswer: 78850340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - 76\/(-28))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2012, 2009, 2004, 1997, 1988, 1977, 1964?\nAnswer: 1949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.13, 0.3, 62?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(192) - (sqrt(3) + 6*-1*sqrt(3) - sqrt(3)).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*1*1)\/(sqrt(28)\/(-2*sqrt(7) - sqrt(7)) + sqrt(4)) - (-3*sqrt(500) + 3 + 2).\nAnswer: -5 + 63*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 785*1 - (12 + -16). Factor y*k + 4*k**3 + 3533*k + 2026*k + 48668 - 79*k**2 + 355*k**2.\nAnswer: 4*(k + 23)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1419 by -36.\nAnswer: -473\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*n + 9, -1 = 5*i - 7*i - 3*n. Suppose -42*h - i + 2 = 0. Solve 0 = 4*g - h - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 10*m + 10. Let x be c(8). Let h = -6 + 4. Let g be (h\/x)\/((-2)\/(-114)). What is the greatest common divisor of g and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**4\/24 + u**3\/2 + u**2. Suppose -2*a = -4*a. Let f be z(a). Is f equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -44*c**4 + 720*c**3 - 1532*c**2 + 1080*c - 224 = 0.\nAnswer: 4\/11, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15730 + 16?\nAnswer: -15712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*b + 12, 3*w - b = -2*b + 8. Differentiate -26 + 5*z**w - 6*z**2 + 4 wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.323442 plus 0.13?\nAnswer: 72.453442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12112?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1160021401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/13 + 622*v**2 - 4800720*v\/13 = 0.\nAnswer: 0, 723, 3320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 6. Let j(g) = g**2 - 1. Let z be j(-2). Let x(v) = -4*v + v - z + v + 8. Calculate -3*o(q) - 4*x(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k + 5*s - 33, 0 = -5*k + 2*s + 66. What is the greatest common divisor of k and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -22. Let r be (-1400 + 1405)*2\/7*(-2)\/10. Which is the second smallest value? (a) -0.4 (b) r (c) q (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 1\/12*y**5 + 0*y + 1\/35*y**7 + 2*y**2 + 0*y**4 + 0*y**3 + 0*y**6 + 0. Find the third derivative of w(b) wrt b.\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(1\/4))\/z*z)**(-5\/4)\/(((z**(-2\/13)\/z*z*z)\/z)\/(z\/(z**(1\/3)\/z))))**(2\/31) assuming z is positive.\nAnswer: z**(161\/9672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589 (base 11) to base 16.\nAnswer: 2be","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let a = 2 + 10. Suppose 3*j + 0 = a. Suppose 2*r = -0*r + j. Is 6 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2196213703.\nAnswer: 29, 67, 1130321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*a = -472*a - 37375 for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2875 = -2*d, -13*d + 9*d + 5765 = 5*y. Is d a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10150, -20286, -30422, -40558, -50694, -60830?\nAnswer: -70966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:37 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**2\/2 - 80829*m\/2 + 282828 = 0.\nAnswer: 7, 26936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/10*(-1)\/(-3).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2441 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56195, 224664, 505453, 898568, 1404015, 2021800, 2751929, 3594408?\nAnswer: 4549243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.616514 weeks?\nAnswer: 4606467667200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + 4. Is (148\/8 - 0)*u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-41)*83\/2490*20?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60501754*r**4 - 91107*r**2 + 122*r - 3 wrt r.\nAnswer: 1452042096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1083560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 8*k**3\/3 - 3943. Let v(x) = 449*x**2. Determine o(v(h)).\nAnswer: 1612808*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*c = 8 - 29, 5*v + 3*c - 39 = 0. Let h(l) be the second derivative of l**3\/6 - 5*l**2\/2 - 2*l. What is the units digit of h(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -1\/6*l**4 + 0 + 0*l**2 - 2*l + 1\/2*l**3. Find the second derivative of i(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Suppose 3*y - 14 = -5. Let i(f) = 0 + 0 - 482*f + 480*f. Give y*i(c) + 8*u(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -633, 2, 37 in decreasing order.\nAnswer: 37, 2, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 33 = 25*p. Suppose 112 = -p*w + 7*w. Let y be ((-4)\/2)\/(1 + w\/20). Solve -h = y*d + 4*h - 35, 0 = -4*d - h + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 16 = 0. Let u(i) = i**3 - 2*i**2 - 5*i - 10. Let s be u(5). Calculate the greatest common factor of s and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28190458.\nAnswer: 2, 14095229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**4\/12 + 4*t**2. Let x(f) = -14*f**2. Calculate x(i(y)).\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23593 - -23593.9711. Let k = -4.4 - -3.44. Let y = k + q. What is y rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j**2 + 2*j**2 - j**2)*(0*j + 3*j - 4*j) - 72*j**2 + 38*j**2 + 103*j**3 + 34*j**2 to r*j**2 + y + d*j**3 + o*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -7 + (32 - -4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58558, -58578, -58604, -58642, -58698, -58778, -58888?\n\"Answer: -z**3 + 3*z**2 - 22*z - 58538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1279, -2496, -3663, -4780, -5847?\n\"Answer: 25*g**2 - 1292*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 233552475 to the power of 1\/2, to the nearest integer?\nAnswer: 15282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1058462, -1058475, -1058488, -1058501?\nAnswer: -1058514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuu. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7741 - -0.3741. Sort 5\/2, 0.04, z, -4\/5.\nAnswer: -4\/5, z, 0.04, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1222.1 and -91.9?\nAnswer: 112310.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10400 and 429?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-24))\/((-23)\/((-23)\/2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(60)\/sqrt(3))\/(1*sqrt(40)\/sqrt(4)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4168291 (base 10) in base 4?\nAnswer: -33321221203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5813371 is divided by 543?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*k**4 - 12669*k**3 - 4457376*k**2 - 522255360*k + 130842624.\nAnswer: -3*(k + 352)**3*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 44 + 25)*(3*x**3 - 180*x + 180*x).\nAnswer: -93*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/8 - ((-1299)\/300 - -5). Which is the second biggest value? (a) -0.3 (b) 1 (c) -1\/2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -3 (b) 12 (c) 5 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*h)*(1 - 4 - 2)*(-13 - 3 - 2)*(-5*h**2 + 8*h**2 - 9*h**2) as y + z*h**3 + f*h + r*h**2 and give z.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y. Suppose y = 5*n - 25, -2*n - 70 = -4*a - 0*a. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(405) - (sqrt(405) - (-1 + sqrt(405)))) + 1) - 4*(sqrt(405) + sqrt(405) + -4*-1*sqrt(405)))**2.\nAnswer: 295245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 400871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3 + 1036*o**2 + 33912*o - 1124640 = 0. Calculate o.\nAnswer: -213, -66, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262\/3 - -88. Suppose 3*x + 5*n = -3, 0 = 5*x - 3*x - 4*n + 2. Which is the closest to j? (a) -0.2 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467502 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: Multiply 28 and -0.3974556.\nAnswer: -11.1287568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (4\/3*1536\/1024 - -84).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v - 2. Calculate the lowest common multiple of 22 and a(4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-144)\/90)\/(4\/60). Let b(d) = d**2 + 11*d + 12. Does 6 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*12\/(-48))\/(6\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*h + 394 = 393, -16*t + 64 = 4*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -59 in decreasing order.\nAnswer: 4, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**3 - 2*i**2 + 3*i - 2. Let y be a(1). Suppose 6*m + y*m = 72. Suppose -4*o = -5*t + 30, -t - m = -0*o + 2*o. Solve 0 = t*l + 2*l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 = j + 3*f + f - 86, -179*j + 2*f - 71 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660447152 to the power of 1\/2, to the nearest integer?\nAnswer: 25699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p = -25. Suppose 3*x + 2*v - 70 = 0, -3*x - 2*x = -p*v - 150. Let b = 135 - 122. What is the highest common divisor of b and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*n - 15 = -128*n. Solve i + 2*p + 6 - 13 = 0, n*p + 15 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = -7*y + 25*y - 217 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10069 + 0.221?\nAnswer: 10069.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjs when three letters picked without replacement from jjsssjsjsjssj.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14310 - 2099. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/4*21\/1386*84*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19352 and 1927.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -121315238*z. Let t(x) = -5*x. Calculate g(t(h)).\nAnswer: 606576190*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/24 and 77\/232.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1567*c**2 + 887*c - 1186541 wrt c.\nAnswer: 3134*c + 887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 6*b + 4. Let t be p(4). Let y = 2 - t. Solve -j = j - y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 10297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(-2*a - 4*a + 4*a) + 8*a - 5 + 5 in the form w + j*a and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -3*r**2\/2 - 10*r + 22. Let u be t(-5). Suppose -u*c - 27 = -102. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -146.9 + 147.4. Let n = 0.26 + 0.04. Which is the nearest to -1? (a) h (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1428154402, -1428154403, -1428154404?\n\"Answer: -l - 1428154401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 19\/(-5) + 323\/(-665). What is the fifth smallest value in u, 8, 0.5, 2, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1614861050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -112*b**3 + 2*b**2 + 78?\nAnswer: -336*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18541\/13 - -1425. Is -2 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*w + 483*w - 987 - 3219 - 3584 = 0 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -0.4 (c) -0.12 (d) 7 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*s - 2776*a**3 - 59*a**2*s - 4*a*s - 2*s - 4 wrt a.\nAnswer: -12*s - 16656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 47. Let p be (-26)\/(-6) - (-1)\/r. What is the units digit of -28*p\/(-7)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l - 9. Let a be (-3 - -2 - -2) + -6. Is x(a) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*g + 4. Suppose 0 = -2*j - g + 5. Solve -5*m - 29 = f, j*m = m + f - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45032 (base 13) to base 5\nAnswer: -13002040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 659536447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -132\/2209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -28\/3, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 36. Solve 3*s + d*f = -f, 0 = -5*s - 3*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 106*b - 27. Let z be f(-2). Let c = z - -476. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-2)*(-6)\/(-8). Let f = o + -15. Let p be ((-1)\/2)\/(1\/(-2)). Solve -2*b = -f*b + p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.7 (b) -0.05 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1848 and 31\/1092.\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 30448?\nAnswer: -213136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 + 197 = 3*b - 2*v, 4*b - v - 439 = 0. What is the remainder when b is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 5 - 5*z + 2*z)*(-2*z**2 + z**2 + 0*z**2)*(z + 0*z - 4*z).\nAnswer: 3*z**4 - 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-315))\/((-16)\/1866). Let c = 30\/7 - d. What is the common denominator of -131\/12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 1. Let l(d) = -2*d - 10. Let t(r) = -l(r) + 10*x(r). Let g(v) be the third derivative of v**4\/24 + 293*v**2. Calculate g(t(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 3*r - 4. Suppose 45 = 5*o + 10. Let a be b(o). Calculate the highest common divisor of 60 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 2103\/(-252) - (-6)\/63. Let t = 0.6 + -2.6. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.143, -25, 4, -0.05 in descending order.\nAnswer: 4, 0.5, 0.143, -0.05, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -352 + 355. Let f be (0 + 1 - 0)*-1. Which is the second biggest value? (a) -5 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/36918720 and -49\/1845936?\nAnswer: 36918720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 3)*(-10*q + 1593 - 1593) to the form k*q + y and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 27 = -4*f. Let a be 66\/f + 1\/(-3). Let b = a + -4. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (46 - ((-49 - -52) + -1 + -8))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*l + 340 = 400*l. Solve t + 1 = 0, -l*t + 30 - 18 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/9)\/4)\/(9\/27).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465606?\nAnswer: 2, 3, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17460658?\nAnswer: 2, 19, 199, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 = 52*q - 394. Calculate the remainder when 60 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(54\/(-243) + (-5)\/18). Solve b = 3*t + 2*y + 7, 3*t = 4*y - 2 - 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23456968, 46913935, 70370902, 93827869, 117284836, 140741803?\nAnswer: 164198770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = -5*c, 2*c + 9*a - 8*a + 5 = 0. Let h(d) = -9*d**2 + 3. Let z(k) = -44*k**2 + 14. Calculate c*z(q) + 14*h(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 12) in base 16?\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 5*a + 8. Let u be t(6). Let j be u\/4 + 21\/14. Suppose -j*c - 112 = -6*c. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**5\/60 + c**4\/3 - 5*c**3\/2 + 9*c**2. Let x be z(6). Let g(q) = -q**3 - 3*q**2 + 3*q + 3. Give g(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/3, -1, -100, -681, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.4, 1\/3, -1, -100, -681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 + 17669*u**2\/3 - 141409*u\/3 + 123739\/3.\nAnswer: (u - 7)*(u - 1)*(u + 17677)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 32060?\nAnswer: 6412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**2. Let q(j) = -j. Let x(i) = 9*i. Let o(u) = 21*q(u) + 2*x(u). Give l(o(g)).\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhqhhqhqqqqhhh. Give prob of picking 1 h and 2 q.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3395 = -35*r + 63140. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + 7. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-12)\/1512*-3*2.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/sqrt(6) - (sqrt(363) + 3 + sqrt(363))**2.\nAnswer: -1461 - 130*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 25990728*v - 84439742746248 = 0 for v.\nAnswer: -6497682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1472 - 728 - 748 + 34*w.\nAnswer: 34*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 14325850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/3 - 384\/576. Let f(u) be the second derivative of 7*u + 0 - 1\/60*u**5 + 0*u**2 - 1\/6*u**r - 1\/2*u**3. Factor f(z).\nAnswer: -z*(z + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 w when three letters picked without replacement from bzzbzwzzwzzzzbwzzb?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15790096224 - 915*j - 15790096224.\nAnswer: -915*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-42 - 103 - -305).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 139, 578, 1245, 2086, 3047?\n\"Answer: -9*l**3 + 168*l**2 - 2*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + 39. Is x(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 23*z - 11. Let h be c(4). What is the third derivative of 66*w**2 - h*w**2 + 4*w**5 + 6*w**5 wrt w?\nAnswer: 600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 99, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.2, -0.4, 27\/5, 0?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 38, 15, 4.\nAnswer: -1, 4, 15, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 58.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 + 56*w**3 - 592*w**2 - 56*w + 588 = 0.\nAnswer: -21, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 9:03 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91531 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 4*c**2 + 3*c. Let b = 5 + -3. Let n(r) = 2*r**3 - 3*r**2 - 3*r - 1. Calculate the remainder when n(3) is divided by y(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2)\/(-1 + 2). List the prime factors of 8\/(-1)*(0 + f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 + 815*x**3\/4 + 6481*x**2\/2 - 29785*x\/4 + 3675 = 0 for x.\nAnswer: -35, 3\/4, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 39542*b**2. Let w(h) = -8*h**2. Calculate w(u(z)).\nAnswer: -12508558112*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -r + 40, -4*r - 9 = u + 20. Let a(s) = s**2 + 9*s + 7. Let f be a(u). What is the third derivative of 3*g + f*g + 20*g**4 - 10*g + 9*g**2 wrt g?\nAnswer: 480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(56\/6)*(1848 + -8) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/2 + c**4 - c**2 - c\/2.\nAnswer: c*(c - 1)*(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(6)*1))\/((-2*sqrt(99))\/sqrt(9)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196 - 191. Let s be 28\/(-6)*-3*q. Calculate the highest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-157)\/(-12) - 13387\/7302.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-75)\/(-25)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -24\/6763?\nAnswer: -24\/6763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1872) + 1 + sqrt(1872) - sqrt(13)) - (sqrt(208) + (((sqrt(208) + 2 + sqrt(208))**2 - sqrt(208)) + sqrt(208))*-6).\nAnswer: 142*sqrt(13) + 5014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 76*h - 2583. Let x be d(34). Suppose 7*v = 3*v + 24. Solve -5*i + x = v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (796*x + 43*x**2 - 796*x)*(3 - 3 - 1)*(-7*x - 76 + 76).\nAnswer: 301*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 3*q + 128 - 57, -5*m + 2*q + 194 = 0 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q. Let g(a) = 2210*a. What is g(s(b))?\nAnswer: -6630*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17\/4, -1\/2, -1\/4, -0.2, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -12.2. Let j = n - 1.7. Which is the nearest to -3? (a) j (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(-40)\/((w**(-5\/2)*w)\/(w*w**(-2\/15)*w)) assuming w is positive.\nAnswer: w**(3701\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1320389972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - 1 - -3) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -0.1. Let j = 0.7 + -7.7. Let f = 6.7 + j. What is the nearest to 0 in 5, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525 divided by -105.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*v - t + 5*t, -v = 4*t - 14. Let x be ((-9)\/5)\/(-3) + v\/130. Find a, given that 2\/13*a**3 + 14\/13*a - 6\/13 - x*a**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 28478*c - 3502777. What is w(123)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3 + 425*m - 2832?\nAnswer: -6*m**2 + 425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 60 - 25)*(5*k**2 - k**2 - k**2)*(k**2 + 0*k**2 + k**2).\nAnswer: 354*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52807.41us in seconds?\nAnswer: 0.05280741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 9086 and 99942\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 7 + 18. Suppose -6 = 5*k - 3*k, 3*k + 33 = 3*c. Suppose -o = -h*o + c. Solve 10 = o*b - 0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(2*q + 8 - 8) - 56 + 56 - 27*q + (-3 - q + 3 + (3*q + 3*q - 4*q)*(1 + 0 + 0))*(4 + 4 - 2)*(-4 + 5 - 2).\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(204)*1)\/(sqrt(432)*-1 - sqrt(144)\/(sqrt(12)*-2)).\nAnswer: -4*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -60*((-36)\/15 - -2). Suppose 4*n + h = 4*a - 4, 2*n = a - 10. Suppose 5*x + 12 = a*f + 37, 0 = 5*x - 5*f - 25. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6) - 106\/159)*32.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 298, 379, 530, 775?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(4\/7)\/(((x**(-15)*x)\/x)\/(x*x**(-1\/16))) assuming x is positive.\nAnswer: x**(1721\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 4*t - 4*a + 45 = 0, -t + 5*a = 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1224 + 1228. Solve 0 = -o*j, 3*j + 4 = i - 0*j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 2*f**2 + 34*f + 7. Let h be m(7). Which is bigger: h or -3\/137?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (1785\/165 + -2 - (-6)\/33).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -67. Suppose z = -l + 30. Suppose -2*q = -4 - 2. Solve -l*m + 13 = -r, 5*r = q*r + m - 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 + 7981\/(-4190). Let f = 2\/419 + z. Suppose 11 = 6*j - 7. What is the second smallest value in 4, f, 0, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -2, -5, -126 in descending order.\nAnswer: 4, 3, -2, -5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 2 - 2)*(-128 - 4 - 48 - 11) to the form g*m + c and give g.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*t + 3*t. Let n be -9 + ((-2)\/(-4))\/((-11)\/(-22)). Let r be (-5 - n)*34\/6. Solve r = -3*y + 5*c, -t*c - 19 = 5*y - 4*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6048 + -6048. Solve -2*a + m = -v*m - 6, -a - 2*m + 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-40))\/((-2)\/10). Suppose -58 = 2*h - 5*l, 3*l + 90 = -2*h - 0*h. Let n be (-306)\/h + -4 - 4. What is the second biggest value in i, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69.6 + -69. Sort i, 5, 2\/7, -3\/2 in ascending order.\nAnswer: -3\/2, 2\/7, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 49 + 40 - a**2 to the form p*a + v + m*a**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (85\/(-51))\/(10\/(-504)). What is the common denominator of 4\/n*6 - (-105)\/270 and 43\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(475) - 4*sqrt(475))**2 + -5).\nAnswer: -21350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 17*t + 55. Let n be w(20). What is the highest common divisor of 92 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*r + 15. Solve r*m = -0 - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:32 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/846 and 91\/1128.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109093 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3144\/54 - -4) + 4\/(-18) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/18 - 86\/63. Let t be (9\/(-15))\/(216\/(-96)). Is c bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 + 50*l**2\/3 - 19*l - 12 = 0. Calculate l.\nAnswer: -4\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*d - 4*d - 5, -5*d - 13 = 4*g. Suppose -g*j + 337 = -218. List the prime factors of j.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -9*z - 3*z - 2202018. Round z to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -17. Let s = 0 - 1. Let r = -5\/46 - -1\/115. Which is the closest to 0? (a) r (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/14)\/((-1)\/(-2)). Which is the closest to -5\/6? (a) u (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 36820*p + 110424.\nAnswer: 4*(p + 3)*(p + 9202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*l - 165*l + 161 = -90*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*k - 4*k**2 + k**2 - 18*k)*(-3*k + 3*k - k**2).\nAnswer: 3*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.26807 + 0.11.\nAnswer: -1.15807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 14. Let m be -3 + (-1 - 0) + l. Solve -r + 1 = -5*h, 4*r + h + 5 + 12 = m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269425267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 + t - 2. Let n be f(2). Let u be (7\/(-2) + -1)*n. Let g = -15 - u. Solve g = -2*c - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**7\/630 - y**6\/180 - 54*y**2. Let o(q) = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**6\/12 - 5*y**4\/24 - 283*y. Let h(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from hshswshh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -2*a. Suppose a = -2*i - 10. What are the prime factors of (-7)\/(-2) - i\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 u when four letters picked without replacement from {u: 2, h: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1287.4 * 6032.\nAnswer: 7765596.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 3*f - 7*f**3 - 4*f**2 + 10*f**2. Let v be (-30)\/(-9)*(-12)\/(-10). Let i(a) = -v*a + 5*a**2 + 3*a - 6*a**3 - 4*a. Give -5*h(g) + 6*i(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32569703273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:40 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 13*u = -4*u. Let n be ((-8)\/(-16))\/((-2)\/12). Which is the closest to u? (a) -1 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*r - 81 = 0, -8698*r + 8690*r = 2*o - 117 - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*c**2 - 7*c**2 - 962*c**3 - 117*c**2 - 115*c**2.\nAnswer: -962*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45252960 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 + 88*a - 23. Let f be s(29). Let v be 92\/12*(-3)\/(-1). Let h be v*(1 + -2 - -2). Solve -3*t + g + 2*g + f = 0, -g = 4*t - h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, w: 4, v: 11, c: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:50 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 5 (c) 449 (d) 2\/13 (e) -11\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**4\/9 + 13*i**3\/9 + 4*i**2\/9 - 52*i\/9 = 0?\nAnswer: -2, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*c + 72, -3*c + 18 + 0 = o. What is the smallest common multiple of 24 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2. Let a = 32 + 7. Let n(p) = a + 5*p - 39. What is n(q(x))?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 + 10*s**2 - 1. Let h be p(-5). Let n be 9\/(-2) - 1\/2. Let l = h - n. Solve -k + 4*f = -2*k + 6, 0 = -3*k + l*f + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:36 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*j - 35 = 0, 7*w - 9*w - j + 8 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 6, -5*l - 5*t = -3*t - 444. Let w(p) = 5*p**2 - 40*p + 1. Let j be w(8). Put l, 3, j in ascending order.\nAnswer: j, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b + -327b4?\nAnswer: -32765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 25*v - 42048 = -39*v. Is v less than 1318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74161.31998 to the nearest one hundred.\nAnswer: 74200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/10)\/(116\/145) - (-42)\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9703 = -57*t - 14*t + 6*t + 1968 for t.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3633520*z**2 - 3342*z**3 + 3633520*z**2.\nAnswer: -3342*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.9\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 146216 (base 7) to base 5\nAnswer: 1403310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-18\/11)\/x)\/(x**(-10)\/x*x*x) assuming x is positive.\nAnswer: x**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 142.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-134)\/(-3) - 2\/(-6). Let w = -96 + l. Let z = -74525 - -74474. Is z at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/71769 and -44\/310999.\nAnswer: 932997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2810*z + 90 + 90 - 268 + 88 to the form h + o*z and give o.\nAnswer: 2810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -94730 to the nearest 1000.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15022*b*q**3 - 679611*b + 9*q**2 wrt q?\nAnswer: 45066*b*q**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 - (-7)\/35*55. Solve 10*r + 0*r + 20 = z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let w(u) be the second derivative of u**7\/840 - 4*u**4\/3 - 12*u. Let b(n) be the third derivative of w(n). What is b(s(t))?\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56725326059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 460126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 3*v + 5. Let w be n(5). Is (-24496)\/(-80) + (-4)\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/7? (a) 2\/23 (b) -1 (c) -4 (d) 141\/76 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 2*k**2 + k - 1. Let o be l(-1). Suppose 4*t = o*d - 6, 0 = -2*d + 7*d - 5*t. Is 1102 - (-7)\/(7\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/5, 0.354, 0.03, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9228 and 48.\nAnswer: 36912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**6\/2 - 9*m**5\/5 + 7*m**4\/2 + 6*m**3 - 27*m**2\/2 - m - 38. What is x in v(x) = 0?\nAnswer: -3, -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72.09688 + -72. What is k rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 l when four letters picked without replacement from lvmyivliyilhiivivly?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 48\/5*q**2 + 2\/5*q**4 + 0*q + 4\/5*q**3 = 0. Calculate q.\nAnswer: -6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7504 and 1456.\nAnswer: 97552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*k*n**2 + 7*a*k + 27*a - 457*k*n**2 - 1514*n**2 with respect to k.\nAnswer: -a*n**2 + 7*a - 457*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-5)*(-65)\/26.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 + 4*c - 5. Let i(k) = -53 + 169 - 65 + k**2 - 6*k**2 + 7*k - 61. What is -4*i(y) + 7*z(y)?\nAnswer: -y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/3130 and -143\/48?\nAnswer: 75120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t**5 - 770*t**4 - 10365*t**3 - 12730*t**2 - 3120*t = 0. What is t?\nAnswer: -26, -24, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(1*sqrt(76))**2 - sqrt(76)) - (-4*(sqrt(304) + 3 + ((-1*sqrt(190))\/sqrt(10) - sqrt(19))))**2.\nAnswer: -905 - 194*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 2. Which is the nearest to n? (a) 0 (b) 1\/2 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 8 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 15*d**2 + 20*d - 46. Let i(o) = -3*o**2 - 4*o + 9. Let s(y) = -11*i(y) - 2*v(y). What is the tens digit of s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -480275 divided by 480275\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, h: 4, i: 4}. What is prob of picking 2 h and 1 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5682231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 19. Let l be (z + -3)*12\/(-5). Solve -3*a + 0*a + l = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299028.\nAnswer: 2, 3, 24919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 281 + 2519. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 + 31 = 3*w + 25, 0*v - 27 = 4*v - 5*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -45, -67, -91, -117, -145?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43164684181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -329 (base 15) to base 2.\nAnswer: -1011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 44*r**2 - 44*r - 17. Give k(45).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*b = -37, 2*w - 5*b + 6 = 1. Suppose 0 = -w*a + 6*a + 1. Sort 4, 6\/5, a in increasing order.\nAnswer: a, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2. Let z(r) be the first derivative of 15*r**2\/2 + 231. Calculate z(s(w)).\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5332 divided by 13562\nAnswer: -2666\/6781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 279*g**3*l**3 + 13*g**3*l + 14386*g**3 + 13996*g*l**3 + 12*g*l - l wrt l.\nAnswer: 1674*g**3*l + 83976*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 1. Let a be w(3). Suppose 2*t - 3*m - 27 = 2*m, 0 = 4*t - a*m - 46. Calculate the remainder when 21 is divided by (0 - (-3)\/3)*t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**2\/a)**48*(a\/(a*a**(-3)))**25)**(1\/28))**(-1\/53) assuming a is positive.\nAnswer: a**(-123\/1484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56459939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (54\/(-405))\/((-1)\/(-4 - -1)). Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212\/24925 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -3793.\nAnswer: -38\/3793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12715 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 53595.36 kilometers?\nAnswer: 53595360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -16*b**3 - 146732*b**2 - 115988564*b + 29006312 = 0.\nAnswer: -8297, -874, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/462 and 83\/105.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 10*g - 13. Let b be n(-7). Let v(s) = 9 + 8 - 4*s + b*s + s**2. What is the remainder when 113 is divided by v(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 17 + 0*q - 5*q - 41 + 14 as p*q + d and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50848 + -0.1.\nAnswer: 50847.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 - -107. Let l(b) = 2*b**2 + 3 + 5 - 17*b - 4 + c*b. What is l(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 20\/(-12)) + 6\/(-9). Let x(v) = 2*v - 4. Calculate the remainder when x(p) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2\/u*u)\/(u**(-2\/39)\/u))**16*((u**(-4))**(-4))**(-10\/13) assuming u is positive.\nAnswer: u**(2048\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a8a - -99?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1094 + 1737. Suppose -197 - q = -5*t. Let i = t + -101. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x - 3 + 43. Let q be ((-6)\/x)\/((-224)\/35 - -6). Calculate the greatest common factor of 12 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1 + 2*y)*(y**4 - 4*y**4 + y**4).\nAnswer: -4*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -269*n*x**3 - n*x - 876*n - x**4 + 1 wrt x?\nAnswer: -807*n*x**2 - n - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19162 divided by 22.\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 6*r**2 - 4*r**2 - 6*r)*(-1 + 0 - 2).\nAnswer: -6*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 2*w - 3*w)*(5*w**2 - 3*w**2 - w**2)*(2 + 2*w - 2)*(16 - 5 + 1) in the form i*w**3 + v + y*w + q*w**2 + h*w**4 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2467025?\nAnswer: 5, 11, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, s: 4, c: 9}. What is prob of sequence sskk?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 8 - 2. Suppose -5*t + 49 = -0*x + n*x, t - 5*x = 26. Let o(z) = -z**2 + 19*z + 5. Is o(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - 1.3?\nAnswer: -41.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqy when three letters picked without replacement from {q: 8, k: 4, y: 1}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*o**2 - 71*o**2 - 64*o**2 - 68*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2840 or -2842?\nAnswer: -2840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8959 in 324, -4, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let v(x) = 2*x + 230591017. Calculate v(k(y)).\nAnswer: 2*y + 230591017","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 282 = -4*c, 0*c + 5*x - 330 = -5*c. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 - 4 - (-2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 926487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 4144750?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0*q - 1\/6*q**3 + q**2 + 0 + 1\/12*q**4 + 13\/60*q**5. Let n(m) = m**3 + 17*m**2 - 18*m + 1. Let h be n(-18). Calculate r(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 16 + 6 + 10.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088)*-3 + sqrt(1088))*-3 + 2 - (-5 + -6*sqrt(1088)*-6)**2) + 1)*-4.\nAnswer: -11712*sqrt(17) + 5640280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 87*r + 1183. Determine p(13).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = -2. Suppose 0*i + u*i = 4*t + 104, 0 = 2*t - 8. Suppose 2*v + v = i. Solve o + k = -0*k - v, 23 = -o - 4*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1535*g + 7. Let d(x) = -15*x - 1. Let v(i) = -2*a(i) - 12*d(i). Let b(c) = 2*c**2. Give v(b(w)).\nAnswer: -5780*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 201.39?\nAnswer: -604.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 19. Suppose 0 = 5*o - 8*o. Suppose o = 3*b - 5*y + 2, 0 + 4 = 2*b + 2*y. Do b and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*r + 2 + (-55*r - 179*r - 96*r)*(1 - 4 - 3) as d + a*r and give a.\nAnswer: 1975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:33 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.06, 3, -6230?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 139839 to the nearest 100.\nAnswer: 139800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 5*v**2 + 2*v**2 - 8*v - 13*v**2 + 8*v + (0 - 4 + 6)*(3*v**2 + 0*v**2 - v**2).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*a**2*m**3 + 2*a**2*m**2 - 5*a*d**2*m**3*s + 3*d**2*m*s + 27*d*m*s wrt m?\nAnswer: -432*a**2 - 30*a*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*o**3 - o**2 - 9 - 34*o**3 + 3*o**2 + 7 to p*o + d*o**2 + h*o**3 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008765486?\nAnswer: 2, 3, 251, 223277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2595 and 15080692664?\nAnswer: 15080692663.7405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*t - 133*t = -70*t + 6593 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 160 - 160. Let t(y) = 2*y. Determine t(u(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -2, 1, -1\/10, 0.9, 1\/3161?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, b: 4, s: 2, v: 1, y: 2, a: 5}. Give prob of sequence syab.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*2*3 + sqrt(35) + sqrt(35))\/(sqrt(55)\/sqrt(44)).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 907*b = 906*b - 87. Put 4, b, -5 in ascending order.\nAnswer: b, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-3)*15\/10. What is the first derivative of 4 + 0 - 2*k**x - 6 + k**2 wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18024 + 31380. Is 128 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134413 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3026, 24209, 81686, 193601, 378098, 653321?\nAnswer: 1037414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 585404821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2 + -1)*2. Let t(g) = 5*g**2 - 4*g**2 - 1 + 2. Let j(i) = 2*i**3 - 6*i**2 - 7. Let f(p) = d*j(p) + 6*t(p). Differentiate f(o) with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003869 rounded to 5 decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 113299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12584 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -550*g**3 - 102*g + 16*g**2 - 15*g**2 + 546*g**3 + 8*g**4 - 1 - 9*g**4 as v*g**2 + q*g + p*g**3 + s + r*g**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2020?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffefffefffffef. Give prob of sequence ffe.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) -0.02 (b) 5 (c) -4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62, 67, 76, 89, 106?\n\"Answer: 2*i**2 - i + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 966.069nm in meters?\nAnswer: 0.000000966069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2029956206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 34, 15, -4, 1021 in decreasing order.\nAnswer: 1021, 34, 15, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.052 times -2\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*t - 4*s + 2*s, 0 = 3*t + 2*s - 3. Suppose 7*p + 24 = t*p. Suppose i - 4*h = -1 + 9, -5*h = i + 19. Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-3)\/(-9)*3. Suppose -n*s + 4 = -5*g, 4*g + s = 6*s - 5. Let a be (8\/(-112))\/(2\/(-16)). What is the closest to g in -5, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62320*a*k**6 + 52*a*k**4 - 441*a*k**2 + 2*k**2 + 3201*k wrt k?\nAnswer: 7478400*a*k**3 + 1248*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51042 (base 10) in base 12?\nAnswer: 25656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5640714*p**5 + 2281925*p**2 wrt p?\nAnswer: 338442840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1653?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/3 - 8011*r\/6 - 2003\/3 = 0.\nAnswer: -1\/2, 4006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2676070 is divided by 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12567 - 12566.96. Which is the nearest to -0.1? (a) -65 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90398974 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9 - 6.8909. Round z to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48090 and 38930?\nAnswer: 817530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 32 - 34, 0 = -2*h + 4*g + 532. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/(i*i\/((i\/i**2*i)\/i)))*((i\/(i*(i*i**(3\/7))\/i))\/i)\/i*(i**(2\/7))**(-2\/37))**(-11\/3))**(-15) assuming i is positive.\nAnswer: i**(22165\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1854*t - 93431. Determine q(-50).\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**2 + 10*w + 17. Let d(g) = 7*g**2 - 10*g - 14. Give 5*d(p) + 4*t(p).\nAnswer: -p**2 - 10*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -8497?\nAnswer: -16994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -45*w**3 + 5. Let d(j) = 22*j**3 - 2. Determine 5*d(c) + 2*m(c).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11092962165655 - 2.\nAnswer: -11092962165657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3270227316 and 1066.79.\nAnswer: 3270228382.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 443 - 491.7. Let v = 50.67 + y. Let j = 0.03 + v. What is the nearest to -2 in 4, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 4*f - 18. Let w be o(-7). Solve -w*u = 13 - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -59. Suppose -2*x + 5 = c, 11*x - n*c - 3 = 8*x. Solve -33 = 5*d - x*v, -2*d + v = -d + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 - 70293*k**4 - 562023*k**3 + 3021897*k**2 + 7729590*k = 0.\nAnswer: -23423, -11, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 8) in base 9?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.7468.\nAnswer: -4.7468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*k = -53*k - 1381016. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + 3*w - 7. Let f(t) be the second derivative of t**4\/12 + t**3\/3 - 3*t**2 + 185*t. Determine 4*f(b) - 3*i(b).\nAnswer: -2*b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*v**4 - 621*v**3 - 2502*v - 1 wrt v.\nAnswer: 1140*v**2 - 3726*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36645.22nm in kilometers?\nAnswer: 0.00000003664522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1009 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*i - 2*z + 283, -144 = -i - 5*z. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 119\/8?\nAnswer: 119\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 2*l - 3. Let w be i(-6). Let x be (-6)\/w - (-76)\/(-18). Let d(t) = -t**3 + 3*t**2 - t. Let z be d(3). Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let s(a) = 14 - 6326*a**2 + 3161*a**2 + 4*a + 3161*a**2 - 4*a. Determine m(s(w)).\nAnswer: -8*w**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -15118 <= -15184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 22 = 5*j, 120*m + 12 = 4*j + 124*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -762 in -6, 1\/2, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 - 4*s - 6. Let y(t) = t**3 - 4*t**2 + 3*t + 5. Let x be -11 - 0\/(-6 + 3). Let p be x\/4 - (-2)\/(-8). Calculate p*k(i) - 4*y(i).\nAnswer: -i**3 + i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53369467453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 k when three letters picked without replacement from {k: 5, u: 7, o: 1}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4065487.\nAnswer: 19, 213973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/35 - 26\/105. Which is the nearest to n? (a) -2\/3 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74681?\nAnswer: 17, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3906 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 32. Let q = 16 + 4. Let w = q + r. Is w < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 12:10 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 4. Suppose -b + 13 = 5*g, -g + 4*g = -v*b + 18. Let u be g\/((-110)\/(-25) - 4). Solve u*j - 20 = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 60.23. Let d = z + 1.93. Let i = -1.700005 + d. What is i rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355817604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + sqrt(7) + sqrt(56)\/sqrt(8) + -1 + 3 - (-2 + (2 + sqrt(28) + sqrt(7))**2 + (sqrt(343) - sqrt(343)*-1))).\nAnswer: -24*sqrt(7) - 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3 + 10*r**2 - 16*r + 8 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*y - 3*m, -3*m + 2 = -4*y + 16. Let n be (-2)\/(-4)*12 + 0. Suppose y*v - 2*v = -n. Put 0, 1, v in ascending order.\nAnswer: v, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422 * 134614\nAnswer: -56807108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 928*m*n - 28172*m wrt n.\nAnswer: 928*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56761564 - -331.\nAnswer: -56761233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 38. Suppose -4*j = -b, 2*j - 35 = -5*n - j. Suppose n*l = 4*w - 100, -4*w = -w - l - 83. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-7)\/4) + 78\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 28\/((-140)\/10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + k = t - 1, -k = -t + 5. What is the highest common divisor of 5 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2190006 and 1442?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let j(i) = -75*i - 6. Let k(m) = -300*m - 26. Let f(s) = 26*j(s) - 6*k(s). Determine o(f(t)).\nAnswer: -300*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:44 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -89, -104\/9, 55?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 6:51 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271196 divided by -128.\nAnswer: -67799\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h**2 + 5*h + 5. Let k(r) = 10*r**2 + 4*r + 4. Calculate 5*k(w) - 4*o(w).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j + 3521 - 3576. Solve 3*q - 12 = -0*q, -14 = 3*v - j*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-761 + 2336 - 769 - 762 - 17*g)*(5*g + g - 2*g) as x*g + p + h*g**2 and give x.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 186?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 43*z - 3*z**2 - 40*z - 3*z. Let h(m) be the second derivative of -20*m**3\/3 + 37*m. Give b(h(o)).\nAnswer: -4800*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*j - 288, 0*j - 2*j + 112 = -2*i. What are the prime factors of j?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let d(c) = -c**2 - c + 7. Let r(l) = d(l) - 4*t(l). Give r(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dijlmik. Give prob of sequence jk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59670 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(sqrt(76)\/sqrt(4) + sqrt(19))**2 - sqrt(19)).\nAnswer: -385 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((588\/(-252))\/(14\/54))\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, 2, 0 in increasing order.\nAnswer: 0, 5\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + -8 - (-16)\/(-2). What is the remainder when (14\/r)\/(1330\/222 + -6) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15973, 31945, 47917, 63889, 79861, 95833?\n\"Answer: 15972*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**4 - 3*t**4 - 25 + 36 - 10 - 135*t**2 in the form o*t**2 + s + y*t + h*t**4 + a*t**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -29*w - 319. Let j be v(-11). Is j smaller than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53686 (base 15) to base 11\nAnswer: -170990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2 = -4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04457297 to 4 dps.\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddde. What is prob of picking 1 d and 1 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 - 3*u. Let g(c) = -12*c**2 - 12*c. Let n(d) = 5*g(d) - 21*j(d). Find the second derivative of n(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 16129*a**5\/60 + 127*a**4\/12 + a**3\/6 + 2*a**2 + 200. Determine q, given that i(q) = 0.\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 5*b - 11. Let t be z(-8). Solve 4*x + 4*l = -12, -x = -3*l - 0*l - t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3596 by 81.\nAnswer: 3596\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 0.3, -44, 0.03, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15*l + 3 - 1 + 6*l**2 - 5*l**2. Let o be h(-15). Put 3, o, 5 in increasing order.\nAnswer: o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 231*d**2 + 4*d - 1. Let j(c) = -230*c**2 - 3*c. Let y(q) = -6*j(q) - 5*r(q). Let v be y(2). Suppose -8769 = -4*i - v. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -1\/3*n**4 + 0*n**3 + 0 + 3*n + n**2. What is the first derivative of t(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**2 + 6*i - 6*i. Let r(s) = -s - 4*s + s + 2*s. What is t(r(w))?\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626.3669ms to microseconds.\nAnswer: 626366.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8601619*x**4 + 13301628*x**2 wrt x.\nAnswer: 206438856*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*c**2*u + 247*c*u wrt c?\nAnswer: -204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:06 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 2, 13, 24, 35?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w = 28*w - 81. Let l be 20\/(-30)*w\/(-6). Solve -l*d - 2 = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 3*r**2 - 3*r - 3. Let u be (0 + 3)*(-3 + 2) + 0. Let n(j) = -j**3 - 4*j**2 + 4*j + 4. Calculate u*n(s) - 4*y(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from tzztmtmttztmmmtmmm.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - p - 33 - 18 - 21.\nAnswer: -p - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/1081 + 1093\/6486. Suppose 1 = -3*f - 5. What is the nearest to a in f, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -302, -721, -1264, -1913, -2650?\n\"Answer: 3*t**3 - 89*t**2 - 31*t + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12234 + 12212.027. Let x = 21.996 - -0.004. Let h = c + x. Round h to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-6))\/(315\/(-441))*(-20)\/(-175)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16214 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 21 = 6*j. Let s = -7 + j. Let h(p) = 4 + 4*p + p**2 + 0*p**2 - p**3 - 3*p. What is h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**8\/4032 - n**7\/1008 - n**6\/12 - n**5\/30 - n**4\/12 - 56*n**2. Let c(j) be the third derivative of q(j). Factor c(x).\nAnswer: 5*(x - 4)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 12 = 6*c. Suppose -4*t + 22 = 3*j, -4*j - 2*t + t = -c. What is the remainder when 5 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(0 - 2 + 3)*(-4*t + 5*t - 3*t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 45. Let z(r) = r**3 + 4*r**2 - 7*r - 7. Let g be z(-5). What is the third derivative of m**q + 9*m**3 - 9*m**g + m**2 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 9*v**2 + 4*v - 18. Let g be 162\/(-21) - 4\/14. Let k be h(g). Calculate the highest common divisor of k and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/219 and 49\/3504?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 - -16 - (4\/2 - 59) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1064)\/2052*22\/77?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394064765 to the nearest integer?\nAnswer: 19851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - 0\/(-3). Let b = -2 + 2. Let t be (b + 0)*2\/(-4). Do t and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.065 and 116.45.\nAnswer: 1870.76925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(1836) - sqrt(1836)) + sqrt(51))*-1)\/((sqrt(144) + sqrt(9))\/sqrt(3) + sqrt(6)\/sqrt(2)*1).\nAnswer: 35*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/18 - (-2739)\/6. Let u = -450 + a. Put 9, 1, u, 2 in increasing order.\nAnswer: 1, 2, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12121 by 713.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2707 - -2714. Solve 35*i = j - 112 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389278 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: Sort 4, -5\/6, 27, 1 in descending order.\nAnswer: 27, 4, 1, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 13*s + 7. Suppose -1 = -3*c + 29. Is b(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*n + t + 7, -8 = 2*n - 2*t. Let p = 3 - 7. Put n, p, -1 in increasing order.\nAnswer: p, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 + -67. Let r = -9 + u. What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 12 + 42. Suppose 4*z = -4*q + 20, z + 2*q - 2 = -2*q. Let w be (-9)\/z*4\/3. Let x(m) = m + 1. Let h(j) = -8*j - 10. Determine f*x(b) + w*h(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 3*z + 13, -27*r - z = -28*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a kilometer in meters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.02708ug to nanograms.\nAnswer: 17027.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -848, -847, -846, -845, -844?\n\"Answer: u - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**3 + 2*j**2 - 8*j + 4. Let t(h) = -7*h**3 + h**2 - 11*h + 5. What is -4*t(f) + 5*x(f)?\nAnswer: -2*f**3 + 6*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k**4 + 2*k**2 + 4. Let m(s) = 19*s**4 + 5*s**2 + 7. Let d = 32 + -27. Let q(t) = d*u(t) - 2*m(t). What is the first derivative of q(l) wrt l?\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yttggyyyty. What is prob of picking 1 g and 3 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -254 or -256?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.04.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -758, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8\/(-2 + (9\/8 - -1)) and 5?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**2. Let f(o) = -o**2 + 4. Let c(n) = 4. Let i(u) = -6*c(u) + 6*f(u). Give l(i(t)).\nAnswer: -324*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - o = 546. What is the highest common divisor of o and 2037?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 10*r**2 + 27*r + 34. Let w be d(-12). Let k(t) = t**2 + 7*t + 8. Let q be k(-3). Sort w, 2, 4, q in ascending order.\nAnswer: q, w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n. Let j(t) = 5*t. Let i(b) = -6*b**2 - 3*b**2 + 10 - 7*b - 3 - b**3. Let r be i(-8). Let h(k) = -k. Let g(a) = r*j(a) - 4*h(a). Determine g(d(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7*166*(-4)\/(-28).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*s, -4*v + 372959*s + 52 = 372963*s for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000120222 (base 3) to base 10.\nAnswer: 39797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/36 and -5\/1155024.\nAnswer: 1155024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 829884 and 528?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from gggzgzzgzzggz.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233 - -237. Solve 15*q - 16*q = i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -80, -140, -202, -266, -332, -400?\n\"Answer: -w**2 - 57*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*d - 19, 2*m + 4*d + 3 = m. Solve -2*w + 8 = 2*o, -m*w - 4 = -5*o + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -189*m**2 + 39*m**2 - 1508 - 93*m**2 - 92*m**2 wrt m?\nAnswer: -670*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -696, -0.1, 5\/6, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let f(p) = p**2 + 42*p - 2. Let x be f(-42). What is o(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 5*q**2 + 6*q + 5. Let c be u(6). Let z be c*((-2)\/(-5) + 0). Is 21 - (2 - z - -1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 13*u + 57. Let m(g) = g**3. Let h(j) = 2*j**3 + j**2. Give u*h(x) + 8*m(x).\nAnswer: 2*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-6\/7)*o**(-1\/17)\/o)\/(o**(-2\/7)*o*o\/o**(2\/7)) assuming o is positive.\nAnswer: o**(-75\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 7. Let c be q(7). Let i be 3 - -14 - (0 + c). Suppose b + b = 3*n + i, -4*n = 3*b. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 3*y + 5*y - 232*y - 304*y + 267*y + (2 - 1 + 0)*(-3 + 2*y + 3) + y - 2 + 2 + (1 - 1 + y)*(4 + 2 - 4).\nAnswer: -259*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4585 divided by -5\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/12 - 3*w**3\/2 + 9*w**2\/2 + 2*w. Let h(b) = 10*b - 3. Let v be h(1). Determine n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 4:18 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829972 is divided by 3279?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 114971, 2, 5, 0.\nAnswer: -1, 0, 2, 4, 5, 114971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742811678?\nAnswer: 2, 7, 41, 199, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43638.6 millennia to centuries.\nAnswer: 436386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g + 108*g - 1 + 7*g + 6*g to the form t*g + f and give t.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*h + 23*h - 10*h + (0*h + 3*h - h)*(-3 + 2 + 2).\nAnswer: 64*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 5*q + 9098 = -2*j, 2281 = j - 2*q. What are the prime factors of j?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/8 and 83\/117328?\nAnswer: 117328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 400967067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*0\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448156.\nAnswer: 2, 181, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a**3 - 6*a**2 + 2*a + 64. Let c(o) = 20*o**3 + 17*o**2 - 5*o - 192. Determine -6*c(k) - 17*x(k).\nAnswer: -k**3 - 4*k + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from eemeeepeemp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 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: What is the next term in -5, -57, -113, -173?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1307172, -1307173, -1307174, -1307175?\nAnswer: -1307176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*r + x - 3*x, 26 = -5*r - 2*x. Let a be (r + 2)\/(-1 - -10). Let h = 18 + -21. Is a at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.212 + -0.012. What is the second biggest value in -6, a, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 35.7574 micrograms?\nAnswer: 0.0357574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93280267.\nAnswer: 101, 923567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -11*c + 0*c**3 - 18*c**2 + 0 - 19\/12*c**4. Differentiate u(g) with respect to g.\nAnswer: -38*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 smaller than 261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 4*z + 142, 0 = 2*z. Let v be 12*(4 - (c - 1)). What is v rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -51.954. Let l = 4.954 + j. Let q = -5.1 + l. Which is the biggest value? (a) q (b) -2\/11 (c) 4\/3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -47. Let j be (3\/1)\/(d\/18). Solve f = -3*m + 20, 0 = 2*f - j*m - 0*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 296a?\nAnswer: -2974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c + 1. Let q be (-1 - 0)*1\/1. Let m be p(q). Suppose 5*r - 18 = -3*z - 0*z, 0 = m*r. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*d. Suppose -2*t - 3*w - 8 = 0, -t = 3*w - 4*w - 6. What is the second derivative of -d*l**2 + 4*l + 3*l - 2*l**t wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 2*a**2 + 0*a**2)*(-2*a + 2 - 2)*((0*a - 4*a + 3*a)*(-1 + 1 - a) + 3*a**2 + 0 + 0).\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -183992, -367985, -551978, -735971?\n\"Answer: -183993*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170*p - 111*p - 5*p - 7)*(-2 - 3 + 4).\nAnswer: 286*p + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, 0.13, 4, 2 in decreasing order.\nAnswer: 4, 2, 0.13, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-125))\/(30\/(-25))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 19*o**3 - o**3 - 1.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.14, -5, 614.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((64\/28)\/8)\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + 3 + -3 + 4 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6396.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.8. Let w = -5 - -10. Let m = -297 - -295. What is the nearest to p in m, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 328*c + 5376.\nAnswer: -4*(c - 96)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 17. Let x be p\/(-3) - 3 - -24. Let j = -10 + x. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 h, and 1 p when four letters picked without replacement from neihspe?\nAnswer: 0","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: b\"What is the rth term of 14345951, 14345963, 14345975, 14345987, 14345999?\n\"Answer: 12*r + 14345939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 3.9. Let w = 2.55 + -2.5. What is the second smallest value in r, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 12:28 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4 = -2*t - t, -2*t - 5*m + 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-3)\/(-6)*1. Calculate the common denominator of 220\/16 + 6\/q and -79\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-185696)\/(-1798930)*((-10)\/6)\/((-20)\/(-15))?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 2*q**2 - 8 + 1. Let x(p) = 2*p**3 + 97*p**2 + 44*p - 198. Let z be x(-48). What are the prime factors of r(z)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 + 2*x**3 - 26*x**2 - 230*x\/3 + 100.\nAnswer: 2*(x - 6)*(x - 1)*(x + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19843709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 163077\/6)\/(30\/(-20)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 442*q**6 - 48*q**3 + 13*q**2 - 12*q - 24.\nAnswer: 53040*q**3 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-4)\/6*3. Let q be (-121)\/(-44) - (-1)\/(-4)*3. What is the third derivative of -11*u**2 + 8*u**f - 2*u + 10*u**6 + q*u wrt u?\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (5 - 6) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6665*d - 25*d**3 - 8*d**3 + 6660*d - 13322*d + 73*d**2 to o*d**3 + m + t*d + n*d**2 and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 20*l - 83132. List the prime factors of l.\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (22 + -13 + (4 - 3) - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a + 4. Let b be ((-60)\/220)\/((-105)\/1540). Solve 30 = -b*v - a*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -316 (b) -1\/11 (c) -2\/7 (d) -116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 9*z**2 - 4. Let p(q) = 4*q**3 - 12*q**2 + 6*q + 20. Let j be p(7). Suppose -j + 945 = 11*v. Give h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27895 divided by -5\nAnswer: 5579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3675 (base 15) to base 16.\nAnswer: -2d41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/56 - 694\/16. Let o be 2\/(-6) - g\/3. Suppose -108 = 12*s - o*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -222, 368, -4106 in decreasing order.\nAnswer: 368, -222, -4106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1982*w. Let i(d) = 2*d**2. Calculate r(i(a)).\nAnswer: 3964*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4640066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1502\/52570 + 664\/35.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = t - 13, -o = -3*o - 4*t + 26. Let f be (o - 13)\/(1*-1). Factor f - 1\/6*y**3 - 1\/3*y - 1\/2*y**2.\nAnswer: -y*(y + 1)*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 9:54 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*g + 2184 = 2*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.771035 rounded to 2 decimal places?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upppuuuuuu. What is prob of sequence ppu?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 264341219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1092034906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -12, -9, -1 in descending order.\nAnswer: 0, -1, -8, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -9 - -20 - (0 + 28).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1)\/(7*(-5)\/(-175)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i - 20. Suppose 35 = 4*b - i. What is the greatest common factor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 11) in base 12?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 11 = -n. Suppose -n*f + 158 = 53. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2297995, 2297981, 2297953, 2297905, 2297831, 2297725, 2297581?\nAnswer: 2297393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 725 + -724. Which is greater: y or -2\/25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 0, -4, 1.262, -3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3466306 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 174, 704, 1660, 3108, 5114, 7744, 11064, 15140?\n\"Answer: 11*k**3 + 147*k**2 + 12*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 14*j - 55. Let p = 3 + -2. Put -2, -5, j, p in descending order.\nAnswer: j, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 4887?\nAnswer: 5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1b7ab (base 14) to base 3\nAnswer: 10120012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 6995.7361518326?\nAnswer: -6995.5361518326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1111507041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043176.\nAnswer: 2, 19, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 17 (b) 3\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(((t*t\/(t*((t*t\/t**11)\/t)\/t*t))\/t)\/t)))\/(t**49*t))\/(t\/(t\/(t\/(t\/t**(-4\/19))))*t\/(t*t*t**(24\/7)*t*t*t)))**(-42) assuming t is positive.\nAnswer: t**(26622\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 + 647*j + 45*j + 3*j**2 + 442*j + 2*j**2 to i*j**2 + q*j + c and give q.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.603345 grams to kilograms.\nAnswer: 0.006603345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z - 364617 - 1412340 = 217158. Does 35 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346734966.\nAnswer: 2, 3, 2269, 25469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83343 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*d - 18, -3*t = 3*d + 5 - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 equal to -606\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 972715*f**2 - 5*f + 150858.\nAnswer: 1945430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-six fifths of a decade?\nAnswer: 1824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154.1 + 14. Round t to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261965919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 6*d - 4. Let k be s(-5). Let x be ((-6)\/(-32))\/(k\/(-4)). Suppose 9 = -f + 11. Is f at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 17, 50, 97, 158, 233, 322?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - g = -7, -1113*k - 10 = -1118*k - 2*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 3, r: 2, h: 2, g: 4, k: 3}. What is prob of picking 2 g, 1 y, and 1 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 23*a - 22*a + 190 = 0, -5*a = -5*o + 230. What is the remainder when 284 is divided by o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6696 + 20242 = 26*b. What are the prime factors of b?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7157 - 6646. Solve -u*g = -517*g - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i + 3. Let v be u(1). Let m be v\/32*(-32)\/(-24). Is 2 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54511, 54539, 54567, 54595, 54623, 54651?\nAnswer: 54679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0892 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 307*l + 21908. Calculate m(-72).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 1435?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1331))*-4)**2 - (-5*(1 + sqrt(1331)))**2.\nAnswer: -12004 - 550*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/182 and -179\/3822?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 268 or 269?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-3)\/(-57) + 0). Let w = c - 23. Let z = w + -20. Let m(h) = 6*h + 5. Let g(p) = 5*p + 4. Determine z*g(s) + 4*m(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {n: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j. Let x(m) = -646515*m**2. What is t(x(u))?\nAnswer: 2586060*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-28)\/49 - 218\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3990 and 3715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 563 = -4*x, -x - 2*f + 123 = -26. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -5 (c) -0.718 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1872 or -1\/2?\nAnswer: -1\/1872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 4 - 4)*(-1 - 1 + 9)*(3 + 7*t + 7 - 13) - 6*t**2 + 3*t - 3*t in the form k*t + l + s*t**2 and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -9 (c) -26\/3 (d) 2012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*n = 6, n - 3 = -2*j + 3*j. Let z = -1\/1008400 - -504203\/3025200. Find y such that 0 + j*y + 3\/2*y**3 + z*y**4 + 4\/3*y**2 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33142 - -38696. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*m, i - 6*m = -2*m - 16. Solve 3*s = -4*g - 11, 0 = -2*g + 5*g - 2*s + i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 8. Let y be (0\/(-2*n\/8))\/(-1). Solve -t - 10 + y = 3*i, 0 = 4*i + t + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674\/13 <= 130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let i(b) = -29*b**2 + 6*b - 3. Let q(g) = -g - 1. Let c(x) = -i(x) - 6*q(x). Let u(t) = -7*t**2 - 2. Let p(j) = -2*c(j) - 9*u(j). Give p(s(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**5 - 75*g**4 + 285*g**3 - 365*g**2 + 150*g = 0. Calculate g.\nAnswer: 0, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 108\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/6 - 103*b**2\/6 + 1148*b\/3 - 2450.\nAnswer: (b - 75)*(b - 14)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -6842?\nAnswer: -6842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 0.38.\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:02 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.564553 years?\nAnswer: 0.004564553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r + 1. Suppose -d - 8 = 3*d. Let c be (1\/d)\/((-4)\/(-8)). Let h(g) = -g**3 + 7*g**2 + 10*g - 10. Let n(f) = c*h(f) - 3*a(f). Calculate n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 7. Let h = y - 9. Which is smaller: -1\/5 or h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1\/1273 (c) -6 (d) 30 (e) 0.5 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 24*q**2 + 52*q - 1. Let l be t(26). Let j(r) = -3*r - 1. Let z be j(l). Solve -4*g + 8 = 5*m - z, 0 = 2*g + 5*m - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/578 + 67\/578. Find o such that 8\/17 + 0*o + k*o**3 - 6\/17*o**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 66 = -5*w, 2*u + w - 42 = -0*u. Suppose 0 = 3*c + 5*i - u, -2*c + 3*i = -6 - 3. Let k = c - 6. Solve -2*s = v + 6, 3*s + v + 9 - 1 = k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 17, 16, 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3530 and 1298?\nAnswer: 2290970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -46. Put 6, x, 5 in descending order.\nAnswer: 6, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 647, 613, 555, 467, 343, 177, -37, -305?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a century in years?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 13*t**2 + 10*t - 9. What is the tens digit of w(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**7\/840 - n**5\/120 - n**3\/6 + n**2. Let s(i) be the first derivative of a(i). What is the second derivative of s(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, -1\/35 in increasing order.\nAnswer: -2, -1\/35, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2475 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = 3*q. Let k(v) = 4*v**2 + 18*v - 2. Let p(m) = -m**2 - 3*m + 1. Let i(w) = k(w) + 5*p(w). Determine i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5*m**2 + 5*d**5*m + 2*d**2*m - 131*d*m**2 wrt d.\nAnswer: 60*d**2*m**2 + 300*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 7 = 153*i - 157*i + 7*r, 14 = 4*i + 2*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 4, -1\/6, -1, 0, -0.11 in decreasing order.\nAnswer: 19, 4, 0, -0.11, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Solve -d*q + 16 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21990*i**4 - 18454*i**4 - 4 + 0*i**5 + 12*i + i + 17*i - 2*i**5 wrt i?\nAnswer: -40*i**3 + 42432*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 108 = 25*n. Let p be 12*(30\/6)\/15*1. Sort n, 2, -5, p in decreasing order.\nAnswer: p, 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 41 - 107*s - 129 + 294 to the form y + f*s and give y.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8)\/(((-196)\/24)\/7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.382 + 0.912. Put -3\/4, s, 2\/5, -0.2 in increasing order.\nAnswer: -3\/4, -0.2, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2929 - -0.42258. Round x to three decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856672 is divided by 182.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -103279 >= -103279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11134 = 27*l - 1097. What is the remainder when l is divided by 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5617 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 16 = -u. Let x(r) = -1 + 0 - r**2 - u*r**2. Let s = -1 - 0. Give x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -2*d - 5*d. Suppose -2*h + 5*h - 21 = 0. Suppose -h*c + d = c. Solve 2*g = -c*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85817, -171631, -257445, -343259, -429073, -514887?\n\"Answer: -85814*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1069, -2064, -2985, -3832, -4605?\n\"Answer: 37*o**2 - 1106*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/6)*n*n)\/n**(7\/5) assuming n is positive.\nAnswer: n**(43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073*l + 5584 = 13919 + 61813 + 6035 for l.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3189337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-252)\/16)*(-98)\/(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 156057792 and 4.\nAnswer: 624231168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a3 + -4?\nAnswer: -5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - n - n**3 + n**3 + 1189*n**4 - 1187*n**4 - 5*n**2 to the form b*n**4 + w*n**2 + v*n**3 + o*n + t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45402315 and 210.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 110 = -5. Suppose -4*y - d = -y. Let n = -5 - y. Solve 20 = -n*a - 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.08771 millilitres to litres.\nAnswer: 0.03208771","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15655 is divided by 191.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = 3*m - 48, 2*f = -6. Let s(u) = 8*u - 5. Is s(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, -0.5, -1\/4, 9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1852*u**3 + 2*u**2 - 1. Let g = -13 + 14. Is r(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 15 = -10*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**3 + 20*a**2 + a + 3. Let o(m) = 13*m**3 - 43*m**2 - m - 7. Give 9*n(s) + 4*o(s).\nAnswer: -2*s**3 + 8*s**2 + 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 982418268 and 4524?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 6:18 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -618, -967, -1312, -1653, -1990, -2323, -2652?\n\"Answer: 2*j**2 - 355*j - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - 8.94. Let o = 3.9 + -2. Let r = o + -2.9. Which is bigger: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5 - -10 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*q - 32*q + 11*q)*(6 - 7 + 2*q - 3*q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/124645 or -1?\nAnswer: -2\/124645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588*6.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -186430 (b) -1\/29 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 27*y**2. Let u(p) = 3*p + 8. Let n(l) = 7*l + 18. Let v be (-18)\/(4 - (-1 - -7)). Let i(w) = v*u(w) - 4*n(w). Determine f(i(r)).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxx when three letters picked without replacement from xxrxrxxer.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -46\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*l - 16, -4*j + l + 7 = 25. Let t = j - 5. Let y = t - -13. Solve -3 = -2*n + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/31587 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3198 - -3200. Suppose 0 = -2*p + p. Let 0*q**4 - 2\/7*q**5 + p*q + 2\/7*q**3 + 0*q**k + 0 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 + 9*w - 9. Let c(v) = -v**2 - v + 1. Let b(q) = q**2 - 12*q + 33. Let j be b(9). Let h be (-1)\/((-3)\/j) + 0. Calculate h*l(z) + 18*c(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brm when three letters picked without replacement from {f: 4, r: 2, b: 4, m: 9}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*y = -0*y - 940, -4*q + 3741 = y. Suppose 0 = -5*k - 3*c + q, 5*k = 3*c + 2*c + 935. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1196 - 1188)*((-2)\/(-6) - 17\/42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*g - 13 = -0*g, 4 = -2*i - 2*g. What is the tens digit of (-1 + 30\/1)\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 21414?\nAnswer: -21411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40158)\/58995 + 3\/(-57)?\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.7, 0.3, -16737, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222262152 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 - 15770*m**4 - 314800*m**3 - 1573000*m**2 = 0.\nAnswer: -7865, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 6. Let h be r(6). Let x = 3820 + -3622. Calculate the highest common divisor of h and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {c: 1, u: 1, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16350.99992 + 16344. Let g = x + 7. What is g rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -13 + 0 - (-18 + 6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 97 and -0.09?\nAnswer: -8.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 17. Let b(o) be the first derivative of -3*o**2 + 25*o - 737. Determine 5*b(h) - 7*l(h).\nAnswer: -2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10409795 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:05 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -277080373129 less than 62?\nAnswer: 277080373191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 19819574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -4*s + 206. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*a**2 - 3*a**3 + 7*a**2)*(1227 - 617 + 357*a - 611) to the form x*a**2 + s*a**4 + b + t*a + o*a**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/12320 and 57\/1466080.\nAnswer: 1466080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 23 + 8 + (-4 - -1) + -16.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-391) - 90\/(-23)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4 + 14*m**3 + 57*m**2 + 76*m + 32 = 0. What is m?\nAnswer: -8, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 2*p**3 - p**2 + (4*p - 2*p - 3*p)*(-3*p**2 + 3*p - 3*p) - 12 + 99*p**3 + 10 - 31*p**3 to the form k*p**2 + l*p**3 + j*p + r and give l.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -5bf1d35?\nAnswer: 5bf1d39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + x = -7*s - x + 15, -5*x = -s - 205 + 200 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2022837379 to the nearest one hundred thousand.\nAnswer: 2022800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*v - 44150, -8829 = -5*b + 4*b + v. Let u = b + -5963. Let q(w) = -u + 2871 + 4*w - 5*w. Let g(z) = 2*z + 17. Determine q(g(k)).\nAnswer: -2*k - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0.1, -6, -13 in descending order.\nAnswer: 0.1, -2, -3, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140361.\nAnswer: 3, 13, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, -7, -9?\n\"Answer: -2*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110234 (base 11) in base 9?\nAnswer: 287343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -256 + 287. Solve -5*f + m = 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 2*u + 2366. Let l(q) = 3*q. What is t(l(f))?\nAnswer: 9*f**2 + 6*f + 2366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - -1 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 5*y + 60, -g - 2*y = 0. Suppose 0 = -2*a + g, 2*v - 4*a + 1 = -v. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhjhunh. What is prob of picking 2 h and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/53460 and -57\/2948.\nAnswer: 3581820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.25. Suppose -116 + 114 = -m. What is the second biggest value in 4\/5, k, m?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 26*q**2 - 14*q - 275. Is i(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15535 is divided by 115.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 3\/14 (b) 3336 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264*((-8)\/6 + 3)*(-18)\/(-8) and 270?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 3\/40*t**5 + 11*t - 1\/8*t**4 - 1\/4*t**3 + 0 + 3\/4*t**2. What is o in k(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/(-260) + 3870\/26 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -27*w + 95. Let o(c) = -52*c + 190. Let m(j) = 3*o(j) - 7*s(j). Find the first derivative of m(h) wrt h.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -118028844 - 1888.\nAnswer: -118030732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/7)\/n*n**(-2\/25))**(7\/5) assuming n is positive.\nAnswer: n**(-339\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + p + 7. Let i be r(7). Let c(f) = -f**3 - 7*f**2 - 8*f + 4. Let a be c(-6). What is the greatest common factor of a and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1*3*6.\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from teewwwwew.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 207866, 415555, 623072, 830417, 1037590, 1244591?\n\"Answer: -86*n**2 + 207947*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 3*z + 25)*(4*z + 2*z + 2 - 7*z)*(0*z + 3*z - z).\nAnswer: -6*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(330) - sqrt(330)*-2*4) + sqrt(330))\/(sqrt(10) + 1*sqrt(30)\/sqrt(3)))\/((-1*sqrt(144))\/sqrt(3)*5).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8052 a factor of 3335892082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*n - 7, 3*b - 11882*n = -11881*n + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3.7 (b) -3.6 (c) -27 (d) -4 (e) 1 (f) 3 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (2 + -8 + 15 + 6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q. Let c be t(-1). What is the second smallest value in c, -1, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.1. Let f = -7\/30 - 1\/6. What is the closest to 0.1 in f, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -4*u - 5*j, -39905*u + 39898*u = 3*j + 2*j + 54 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21 and 2688621750611.\nAnswer: 2688621750590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 15 + 0 = 0, 3*a = z + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134785*b**2*c**3 - 3*b**2*c - 2*b*c**3 - 6*b*c**2 + b*c + 319*b - 2*c**2 wrt b.\nAnswer: 269570*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-12) + 0)\/((-117)\/(-1053))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.45 and 18.5735.\nAnswer: -101.225575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96849.53 - 96940.53059. Let y = t + 91. What is y rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305156 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-12))\/(4\/(-18)). Suppose -b*u = -4*p + u + 4, -3*p + 2*u = -7. Suppose -2*v - 2 = 0, 56 = p*d - v - 25. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/(-22) - 4) + 6 + 0. Which is the nearest to 3\/7? (a) 0.1 (b) -5 (c) -4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)*u)**(-5\/12))**(-34)*((u**(1\/2))**1)**(-1\/9) assuming u is positive.\nAnswer: u**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 5. Let y(n) = 3*n - 7. Let o(l) = -8*p(l) - 5*y(l). List the prime factors of o(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 3*h + 22 = 0. Suppose l + h = -5. Let b be (4\/10)\/((-484)\/40 - l). Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*y + 265*y - 5*l - 7 = -248*y, 11 = 2*y - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4386534 rounded to 4 dps?\nAnswer: -0.4387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 91. Which is the third smallest value? (a) p (b) -1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141 + 144. Suppose 0 = -p*m + 2*o + 178499, 5*m - o - 297469 = -5*o. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*s + 2*s + 2118 + 1122 = 0. Calculate the highest common factor of 1160 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 69679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 6 = 3*i - 2*o, -4*o + 6 = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-84)\/(-39200))\/((-6)\/(-5))\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 740*g**3 + 14*g**2 - 14*g + 8. Let a(t) = -494*t**3 - 9*t**2 + 9*t - 5. Give 8*a(s) + 5*m(s).\nAnswer: -252*s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/11 + 56*k\/11 + 96\/11.\nAnswer: -2*(k - 6)*(k + 2)*(k + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-9))\/((-2)\/6). Let v = -3326 - -3326.7. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106394 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/30 - 15*p**2. Let r(w) = -5*w. Calculate r(l(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3353, 13414, 30183, 53660?\n\"Answer: 3354*t**2 - t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + -0.35. Let g = h - -0.25. Let d = -75.98 - -76. Which is the nearest to -2\/9? (a) g (b) d (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.2. Let v = 0.4 + r. Let g be (176\/66)\/((-4)\/6). What is the smallest value in g, v, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2776842 or 2776835?\nAnswer: 2776842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278 is divided by 99.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 + 14*r - 6. Let d(b) = b**2 + b - 1. Determine 6*d(p) - j(p).\nAnswer: -p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*m**4 - 449*m**3 - 7922*m**2 - 1378917*m - 12800 + 1735*m**3 + 2*m**5 + 1398437*m = 0.\nAnswer: 1, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 873 and 2929230?\nAnswer: 284135310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 4, l: 6}. Give prob of picking 4 s.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 5:37 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2) + (-4 - -12). Suppose 2*b = 2*j + 90, -6*b + 2*b = -q*j - 177. Calculate the common denominator of 6\/(b\/(-220)) - -4 and 103\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16739*k - 17942 wrt k.\nAnswer: -16739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)\/1 + 0. Let g(i) = -i**3 + 5*i**2 + 16*i - 17. Let p be g(7). Let x be ((-3)\/2)\/((-4)\/((-8)\/p)). Solve -j = -t - x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-45) - (-263)\/156) + -1*(-2)\/(-8).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 42 (b) 0 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = 20. Let u = d + -5. Let b = 0 + u. Solve b*j - 3*s - 5 + 1 = 0, 3*s = -4*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4299 + 4301. What is the remainder when 785 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156732443 is divided by 1017743.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5344210 (base 8) to base 10.\nAnswer: -1427592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -2\/735 (b) -9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/5)\/((-18)\/225). Suppose -8*n + 3*n - 10 = -4*w, n + 2 = -c*w. Solve w*o**2 - 3\/5*o**5 + 6\/5*o**3 + 0 + 0*o**4 - 3\/5*o = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 21.4. Let f = 0.6 + m. Let l = f - 2. What is the closest to -1 in 3, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -2*u + 4*d, 4*u - 5*d - 4843 + 4791 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*h - 4, 6*r + 22 = 10*r + 7*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 802949924 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0*c**3 + 0*c**2 + 5 + 34\/15*c**6 - 8*c + 2\/3*c**4 - 19\/5*c**5. Factor r(o).\nAnswer: 4*o**2*(o - 1)*(17*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 10:49 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -68, -98, -128, -158?\n\"Answer: -30*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*m = -5*m + 39, -49 = -4*u - m. Let z be (-6)\/15*(-2 + u) - 3. Let r be ((-3)\/(-2) + -2)*(z + -1). Solve 0 = r*l + l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*sqrt(108) - sqrt(3)) + -3*sqrt(48) + -5 + 2 + -4 + -2)**2.\nAnswer: 602*sqrt(3) + 5596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2*u**6\/17 - 182*u**5\/85 - 349*u**4\/34 - 52*u**3\/51 + 112*u**2\/17 - 1091. Solve s(b) = 0.\nAnswer: -8, -7, -2\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*k. Let h be ((-270)\/297)\/((-4)\/22). Sort k, 4, h.\nAnswer: k, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - 132. Suppose -34 = 5*y - 4*v, -3*y + 0 = -5*v + 10. What is the units digit of l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744 and 46252?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 8*v**2 + 3*v - 67. Give h(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -158*u + 38. Let m be r(6). Does 10 divide (0 + 1)\/((-14)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 - 128. What is the nearest to 0.3 in l, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + -1*sqrt(245) - (sqrt(245) + 3*(-1 + sqrt(245)) - sqrt(245))))**2 + -2 + -1.\nAnswer: 3917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/(w**(2\/5)\/w)*(w\/(w\/w**5))\/w*w**(-7))\/((w*w*w*w**(-4)*w*w)**11)**6 assuming w is positive.\nAnswer: w**(-332\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 45.5. Let m = 7.518 + f. What is m rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/2))**(-6\/17)\/(a*a\/(a*a**1)*a*a*a**(-1\/4)))**(-2\/21) assuming a is positive.\nAnswer: a**(155\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 s when three letters picked without replacement from yyysysysnssysss?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3755 from 15.\nAnswer: -3740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggkgkggjggkjjggg. Give prob of sequence jg.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.238285 rounded to three decimal places?\nAnswer: -1.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -24, 0 in descending order.\nAnswer: 5, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*i + 345, 0 = 2*c - 0*c - 5*i - 155. Suppose 2*s - c + 21 = 0. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 8*d**2 + 2*d - 6. What are the prime factors of n(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -289762 (base 12) to base 14.\nAnswer: -139c4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:14 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169\/4 - 42. Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -7*t**5\/10 + 7*t**4\/6 + t**3\/3 + 8*t**2 + 3. What is the second derivative of z(k) wrt k?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 81039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + z**4 - z**4 - 2*z**4 + z**2 - z**2 + 0*z**2 - z**4 + 0*z**2 + (-4*z**3 + z**3 + 5*z**3)*(3 - 3 - z) - z**4 - z**4 - z**4.\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-3 + 5 - 11). Let t be 2\/(-4)*p - -16. What is the greatest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 144714.9 decades?\nAnswer: 14471.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 12*z**2 + 19*z + 13. Let n be i(10). What is the second derivative of 18*q**2 + 23*q - 3*q**2 - n*q**2 + 15*q**2 wrt q?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 - 82 = 21*a - 118. Solve h + 5*v = -2*h + a, 1 = -3*h - v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80029191?\nAnswer: 3, 11, 191, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = -u. Suppose 66900008 = 3*v + 4*k, 4*k - 44600002 = -u*v + 3*k. Round v to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10*r + 5 = -5*r, 0 = -3*o + 5*r + 70. Let p = o + -10. Solve -p*v + 6*v - 5*u = -6, 2*v + 2 = 5*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 3008 = -11*d. Calculate the smallest common multiple of d and 8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**3\/12 + 3*b**2\/8 - b\/2 - 7. Factor z(s).\nAnswer: -(s - 2)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 22161 = 2*r - 0*g, -5*r = g + 55345. Is r\/(-28) + (-6)\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 6*r. Let h be d(6). Suppose -6*b + 12 = 3*x - 9*b, h = -3*x + 5*b + 14. Suppose 5*s + 2*z = 7, x*z = 4*s + 7*z + 4. Solve 3*a + s = 6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943089717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j - 96 = -13*j. List the prime factors of j\/4 - (-3 - -2) - -81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 25. Let b be c(15). Suppose -j + 2*j = -4*f + 9, -b*j = -f - 24. Let k(u) = u - j*u - 3*u. Let y(w) = w**2. Give k(y(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -17*p**3\/6 - 333*p**2 + 42*p - 4. Differentiate f(g) with respect to g.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**2 - p. Let f be (-2 - 332\/16)*-4. Let l = -90 + f. Determine q(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + -13 + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011000001010 + -10?\nAnswer: 101011000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 658002.5 litres in millilitres?\nAnswer: 658002500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + 52\/(-12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) - (96\/30 + -2). Suppose 7*u = 3*u + 4*l - 4, -5*u = l + 35. Sort 8, u, m in increasing order.\nAnswer: u, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*f = 69*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4\/4 + h**3 + 4*h + 3. What is l(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 202 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2))**(7\/4)\/(y**(-1\/3)\/y**5))\/((y**(-1)\/y)**(1\/5))**(-17) assuming y is positive.\nAnswer: y**(-71\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiz when three letters picked without replacement from iizziiiiiii.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2492 - 1757*y + 1249 + 1243.\nAnswer: -1757*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (93*18\/(-81))\/(4\/6). Let k be (0 - 1)\/(m + 28). Sort 1\/5, k, -6, 1 in descending order.\nAnswer: 1, k, 1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, f: 1, w: 1, h: 6, d: 2}. Give prob of sequence dwr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, -27, -94, -209, -384?\n\"Answer: -2*u**3 - 6*u**2 + u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -32726444 and -32726444 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4, 5*s - 19*f + 20*f - 7 = 0. Let v(k) = k**2 - k. Let b(p) = -2 + 2 + 1 + 5*p. Give s*b(d) + 5*v(d).\nAnswer: 5*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8582 and 0.4?\nAnswer: 0.74328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 0\/(-2) + -5. Is (0 + r - (-395)\/15)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28384527*i**2*n + 883*i*n - 79676*i wrt i.\nAnswer: -56769054*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to -3915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12497011 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from jiwijxojkjijwjkkkwww?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1503625 * -5.\nAnswer: 7518125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20875 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z**2 + 0*z**3 - 1\/4*z**4 - 15*z - 44. Find the first derivative of b(c) wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122.059 + -1.059. Is p not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(12) + sqrt(5))**2 + -2 + sqrt(35)\/(sqrt(28)\/sqrt(4)) - ((sqrt(55) - -5*sqrt(110)\/sqrt(2))\/(sqrt(66)\/sqrt(6)*-1))**2.\nAnswer: -162 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(4\/(-3))\/2. What is the common denominator of (152\/96)\/((-6)\/(-16)) and -2 + y + 40\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 15. Let b be 2\/(((-4)\/(-90))\/(160\/(-800))). Determine m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246196147?\nAnswer: 7, 178028021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -242 - -241.619. Let h = 3.6 - 4. Let u = f - h. Round u to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 9*z**2 - 10. Determine j(-7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-413)\/177)\/(-3*(-1)\/9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*2\/7)\/(638\/(-203))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002121 (base 4) in base 15?\nAnswer: -13d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6672574*i**2 - 21*i - 287938971 with respect to i.\nAnswer: 13345148*i - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 2. Let k(u) = 6*u - 3. Determine 3*k(g) + 5*o(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 627*b - 387. Let n(p) = 125*p - 77. Let x(l) = 2*f(l) - 11*n(l). List the prime factors of x(-6).\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 4*w**2 + 4*w - 2. Let h be f(2). Let q be 4\/h*(11 + -2). What is the units digit of q\/(-4) + (-15)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -11*u + 16764. Let c = u + -599. List the prime factors of c.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 - 3 = 0. Is (-68)\/((-2)\/2 - g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 203 + 61)*(0 - t + 0).\nAnswer: 221*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/(-45) - (-3 + 3). Let i = -63 - -54. Let l be (-3)\/i + 16\/(-3). Put 1, o, l in descending order.\nAnswer: 1, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 657 - 2476 = -5*p, 1445 = 4*p - n. List the prime factors of p.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*z + 5*q, q - 4 + 3 = 0. Suppose -4*c + 12 + 4 = z. What are the prime factors of (c\/(-5))\/((-2)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538941410 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 119\/(8 - 0 - 7). Suppose 3451 = 5*s - j. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3*d**2 - 2*d + 3. Let m be q(2). Suppose 5*t + 0*c - 170 = -2*c, -170 = -5*t - m*c. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -443, 4\/3, -2\/3, 3, -4, 0 in decreasing order.\nAnswer: 3, 4\/3, 0, -2\/3, -4, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.95245 and 6.749.\nAnswer: 8.70145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(2\/11)\/u))**(-46)\/(u**(-3\/22)*u*u*u\/u**(1\/5)) assuming u is positive.\nAnswer: u**(-863\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7451 (base 8) to base 16.\nAnswer: f29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let d = 530.8 - 531. Put r, d, -2\/19 in descending order.\nAnswer: r, -2\/19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111430 (base 5) to base 15\nAnswer: 12b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*p**4*x**2 + 3617*p**3*x**2 + 3*p*x**2 + 1228*p - 2*x**2 wrt p.\nAnswer: 84*p**2*x**2 + 21702*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 3*m - 3864. Let v be (-4)\/(-20) + m\/(-15) + -4. Suppose -95 = -p - 5*h - v, -5*p = 3*h - 222. Calculate the least common multiple of p and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782208517 to the power of 1\/3, to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 681405, 1362811, 2044217, 2725623, 3407029?\n\"Answer: 681406*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = 48. Let z = 20 - s. Solve 2*u - z = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d9a14 - -b?\nAnswer: 6d9a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6680967, -6681367, -6681753, -6682119, -6682459, -6682767?\n\"Answer: b**3 + b**2 - 410*b - 6680559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 2*g + 5, -4*g - 11 = 2*r + r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 871200 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 101200220101 (base 3) to base 14\nAnswer: 56a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 817 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o - 30*o + 859 - 65 = 20 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 108. Let f(d) = d**3 - 6*d**2 + 7*d - 1. Let v be f(5). Calculate the highest common factor of v and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)\/q*q)\/q**(6\/7))\/(q**(-1\/5)*q**3) assuming q is positive.\nAnswer: q**(-443\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 12*k**2 + 6*k - 31. Let z be y(-11). What is the common denominator of -3\/35 and (36\/840)\/(z\/548)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 15) in base 14?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33c4c (base 14) to base 5.\nAnswer: -13012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5791272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 6, -3*c = -4*w - 2322 + 478. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12555 < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 664463.2 millilitres in litres?\nAnswer: 664.4632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pwpafpggppxxppgfx?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 48\/(-20) - (-69)\/15. Suppose 9*l + q = 14. What is the closest to l in -3, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.48 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-11)\/q))\/(q\/(q**6\/q))*(q**1)**2 assuming q is positive.\nAnswer: q**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 9*h**2 + 2*h + 5. What is the remainder when 61 is divided by f(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 17\/3) + (-4)\/(-6). What is the greatest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5409302*j**3*x**2 - 2*j**3*x - 2*j**2*x + 3*x + 192202 wrt x?\nAnswer: 10818604*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*a**4*n**2 - 311613*a**3*n + 251*a**2*n**2 + 5*a**2*n - 120*a**2 + 2*a*n + 9*a - 2*n**2 wrt a.\nAnswer: 1248*a*n**2 - 1869678*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (-46 - -91)) + (-1 - -2) + -5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*-2*3. Let v be (-400)\/(-28) - (-30)\/(-105). Solve -3*d = m*u + 11 + v, d + u + 7 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x + 51. Determine a(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9045.312ml in litres?\nAnswer: 9.045312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 4, v: 2}. What is prob of picking 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05871028 - 819362?\nAnswer: -819362.05871028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -93 (b) -1\/6 (c) -1\/7 (d) 159 (e) -42.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:59 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 4*d = 18*z + 16, -8 = -2*z - 5*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-1 - sqrt(136))*-5*1)\/(sqrt(128) - (sqrt(128) - -4*(sqrt(128) - sqrt(128)*2))).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*a**5 + 128*a**2 - 241*a + 12*a**5 + 241*a wrt a?\nAnswer: -3060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1400851*g*j**5 + 2*g*j + 1493301*g wrt j.\nAnswer: 28017020*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1671\/5 greater than or equal to -334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 4*g - g)*(-6022 + 4446 + 3330) as i*g + y and give i.\nAnswer: -3508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/102465*-23*-60.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 3*f**4 - 4*f**3)*(-3*f - f + 8*f) + (-2*f - 4*f + 4*f)*(4*f**4 - 3*f**4 - 2*f**4).\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 1. Suppose 0 = -12*y + m*y + 25. Solve -y*a - 18 - 7 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d**3 - 76*d**3 - 2 - 46*d**3 + 100*d**3.\nAnswer: -52*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + 117\/6. Let x = m + -13. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59472 and 3240.\nAnswer: 2676240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + l**2 + 7*l + 2. Let w(n) be the second derivative of -n**5\/20 - 7*n**3\/6 - n**2\/2 - 24*n. Let j(x) = -5*t(x) - 6*w(x). What is j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/6 + -62\/15. Let q = 3\/40 - m. What is the closest to -1 in 0.3, 5, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-45)*p\/((p*p\/(p*(p\/p**(8\/5))\/p)*p*p)\/p*p))**(-2\/39) assuming p is positive.\nAnswer: p**(476\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - 3) + (-3 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 2*l**2 - 4*l. Suppose 2*j + 55 = 265. Let m = j + -108. Let h be q(m). Solve -17 + 2 = h*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 0)*70\/(-210). Let g be -4*(-3)\/12*-1. Let f be 2\/g + 20\/15. What is the second smallest value in n, 2, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 1. Let o(q) = 5*q + 4. Suppose 11*w - 10 = -54. Determine w*t(x) - o(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 - 462611070*x - 17834083507212075 = 0. Calculate x.\nAnswer: -77101845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1666, 1663, 1662, 1663, 1666?\nAnswer: 1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 26, 66, 122, 194, 282?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.249 - 737162.\nAnswer: -737151.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 - l + 212 + 374 in the form p*l + n and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:14 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*c + 3. Let v(m) be the third derivative of m**4\/8 + 7*m**3\/6 + 4*m**2. Determine v(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52886 = 2202*u - 202622 for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 448, -1 in ascending order.\nAnswer: -1, 0.1, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 843909 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.77 equal to 274.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222212 + 12?\nAnswer: -222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112112112 + 22?\nAnswer: 112112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22482, -44961, -67436, -89907?\nAnswer: -112374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2862, -2880, -2870, -2820, -2718?\nAnswer: -2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18640301?\nAnswer: 29, 642769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 10*u**2 + 4. Suppose 1 = 3*k - 29. Let s be j(k). Solve s*q - 2*i - 26 = 0, -q + 5*i = 3*q - 41 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 51*w - 2630. Let n be y(52). Solve -n*g = 69 + 41 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 3*p + 5. Let k(r) = 1 - 18*r - 10*r + 29*r. What is -3*k(u) + x(u)?\nAnswer: u**2 - 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + -100. Suppose -4*d - 8 = -4*t, -d - 5*t + g + 15 = 0. Calculate the smallest common multiple of 15 and ((-2)\/(-5) - d)\/(3\/(-165)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515488593.\nAnswer: 3, 171829531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17668 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11739279 to the power of 1\/2, to the nearest integer?\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -1\/2*o**2 - 3 + 22*o + 1\/3*o**3. Does 11 divide z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8942m in millimeters?\nAnswer: 5894.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185 + 0*p**3 + 5*p**3 - 18*p - 6*p**3 + 78*p + 19 with respect to p.\nAnswer: -3*p**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1815*a**2 - 23598*a + 29. Determine b(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*h - 31, 3*h - 4*w - 29 = w. What is the greatest common divisor of h and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5349 + 7499 - 105)*(-2 - w + 2)*(-7*w + 7*w - 2*w**2 - 3) in the form x*w + m + y*w**3 + n*w**2 and give x.\nAnswer: 38229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-3)\/((-6)\/4). Let q = 18 + c. Let r(p) = -p**3 - p + 8. Let z be r(0). Calculate the highest common divisor of z and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74\/105 - 4\/5. Put c, 82, 2\/7 in descending order.\nAnswer: 82, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 = 2. What is the closest to -0.1 in 4\/3, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d + 15. Let k be q(0). Suppose -k = -3*h - 0*h. Suppose 3*t - 5 = 4, 2*o = h*t - 1. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17454 by 99.\nAnswer: -5818\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aus when three letters picked without replacement from jimjiisasumsam.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*f - 15735 = -45*f - 333*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**7\/420 - k**4\/12 - k**3\/2 - 2*k. Let m(i) be the second derivative of a(i). Differentiate m(x) with respect to x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*d - 28, 0 = q + d - 0 - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -261.819, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 28 - (9 + -15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -20*g**3 - 6*g**2 - 7*g - 28. Is b(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*x**4 - 13*x + 3 wrt x.\nAnswer: 3336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 243*g\/5 + 2552\/5.\nAnswer: (g - 232)*(g - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.88 to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 314, 312, 310, 308, 306?\n\"Answer: -2*g + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -11*x - 2*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:37 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7785307 divided by 2.\nAnswer: -7785307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjfop. What is prob of sequence jf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 967571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/21)*l)*l*l**(-4))\/(l\/((((l**3\/l)\/l)\/l)\/l*l)*l\/l**(-6)) assuming l is positive.\nAnswer: l**(-233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Suppose -b = 2*q - 6*b - 214, -3*q + j*b + 328 = 0. Calculate the highest common divisor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 374 divided by 698\nAnswer: 187\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 765 = -1155. Let v = 480 + i. Solve v = b + b + h - 11, 3*h = b - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 + a**2 + a + 2. Let h(k) = -k**3 - 9*k**2 - 10*k - 18. Let n be h(-8). Let g be b(n). What is the highest common divisor of 42 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fmmmmmffmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*0.7193.\nAnswer: -0.93509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7285*i**6 + 63*i**2 + 213 wrt i.\nAnswer: 874200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyfefyyeyffe. What is prob of picking 1 y and 1 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.54869425 rounded to 4 decimal places?\nAnswer: 5.5487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 * 12299.\nAnswer: 25827.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -740*x - 19*x**3 + 6*x**2 + 738*x + 2*x**4 + 0*x**4 to the form y*x**4 + s*x + a + q*x**3 + o*x**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/51)*v**(14\/9) assuming v is positive.\nAnswer: v**(244\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44895 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10290 - 9964. Suppose 0*w + 6 = 2*w. Suppose -i = -w*a - 3*t - 53, -4*a = 5*t - 368. Calculate the greatest common factor of a and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 2001.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 189, 256, 323, 390, 457?\n\"Answer: 67*g + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103059 and 4752.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570058288.\nAnswer: 2, 98128643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Calculate the lowest common multiple of (-6 - -3)*-1*m and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*p + 164*p + 298 - 322*p to the form d + s*p and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*f**3*p**2*s**2*y - 4*f**3*s**3*y - 2*f**2*p*s**3*y - 2*f**2*s**2 + f*p**2 + 53*f*s**3 wrt f.\nAnswer: -162*p**2*s**2*y - 24*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -3. Let p(g) = -g**3 - 9*g**2 - 9*g - 1. Let n be p(f). Suppose n*z - 9*z + 144 = 0. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/5 + 411*f**2\/5 + 78*f - 1640 = 0.\nAnswer: -410, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.043319 centuries to decades.\nAnswer: 90.43319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) -7\/3 (c) 1 (d) -1.7 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j, 0 = -3*d - 5*j + 9. Let m be 3 + (-24)\/(d - -1). Let h(s) = s**2 - s + 1. Let o(v) = -v**2 + v - 2. What is m*o(a) - 4*h(a)?\nAnswer: -a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) - (-207)\/6. Let y = -24 + h. What is the highest common factor of 33 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 10. Solve k*u = u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*y - 0*y - 2*m, y - 4*m + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2815 = 2*t - 2805, 8 = -t + 5*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166596 + -352626. What is q rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*z + 5*h + 1, -3*z + 2*h + 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 7 - 3) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.3, 0.2, -2\/12571, 372?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let l(z) = z - 1. Let q be (75\/(-20))\/((-6)\/16). Suppose 3*h = -2*w + 2, 0 = 2*h + 4*w - 2 - q. Calculate h*k(n) + 3*l(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 437994378039 from 0.5.\nAnswer: -437994378038.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v**2 + 93*v + 2097. What is g(-13)?\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 22*c + 30 = 0, 458 - 443 = r + 2*c for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2 + 17 = -5*y, 0 = -4*y - 5*m - 17. Suppose 3*x + 5 = -y*x. Let k(w) = w**2 - w. Give k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*z = 188729, 0 = 3*p + 208*z - 206*z - 113235. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 3*a + 630*a**2 + 602*a**2 - 1165*a**2.\nAnswer: 67*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5519010 is divided by 2759476.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13019 divided by 6.\nAnswer: -13019\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/38329 - -306627\/191645. Factor r*q + 4\/5*q**2 + 16\/15 + 2\/15*q**3.\nAnswer: 2*(q + 2)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -6*v + 3*v - 12, -c + 10 = -4*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079641643 rounded to five dps?\nAnswer: -0.07964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/48*9)\/6)\/((-5)\/670)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1114862 and 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*l - 6*l. Suppose -3*u = -3 - 0. Let d = u + l. Solve w + w - d = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -13*a + 12. Suppose 0 = 5*b + s - 4*s - 20, 12 = 3*b - 2*s. Solve -a*r + 1 = -b*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -952 divided by -238?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(-4 + -9 + 3). Suppose -17 = x*p - 27. Solve -3*k + 7 = 2*s, -5*k - p*s + 3*s = -16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + sqrt(102) + -3*sqrt(102))*1 + sqrt(102))\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*w + 1276*w - 1453*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (-17 + -1 - (-44 - -30)) + 5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*i + 490*i = 63 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -14, 5, 60, 163, 326, 561, 880?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - b + 2. Let j be y(-1). Find the third derivative of -65*u**4 + 100 - 100 + 10*u**j + 41*u**2 wrt u.\nAnswer: -1560*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26480 divided by 5\nAnswer: 5296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*n - 5*u + 33, -n - 6 = -2*u. Suppose -n*w = -w. Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 take away -103.8511?\nAnswer: 103.3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 4*m + 3, 4*h - 316*m + 321*m = 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 + (7 - 5) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 164, -26, -4, 0, 2, -13 in ascending order.\nAnswer: -26, -13, -4, 0, 1, 2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 573662, 1147315, 1720968?\n\"Answer: 573653*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 840 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -64, 0 in decreasing order.\nAnswer: 3, 0, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 411.6 + -485. Let b = g - -68. Let i = -5.4099 - b. What is i rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4\/7 - 57910*r**3\/7 + 405302*r**2\/7 - 868458*r\/7 + 521064\/7 = 0.\nAnswer: 1, 3, 28948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**8\/224 - n**7\/140 + n**6\/80 + n**5\/40 - 2*n**2 - 1373*n - 2. Factor p(i).\nAnswer: -3*i**2*(i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3 - 38557*q**2 + 371718391*q - 1114808187 = 0?\nAnswer: 3, 19277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2393 by 4409.\nAnswer: 2393\/4409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1304 + -464. Let y = d - -2482. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3130767*k + 230*k**2 - 5 - 3130767*k.\nAnswer: 230*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4564 divided by -30\nAnswer: -2282\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 - 94. Put 1, 47, g, -4 in descending order.\nAnswer: 47, g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216369 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10809000 rounded to the nearest one hundred thousand?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 0*b - 2*b + 1698, 3*b + 664 = 2*y. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1 - 5*s + 15*s + 0 + 2*s. Let j = 2 - 1. List the prime factors of a(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2323212 + 202?\nAnswer: -2323010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 4*x - 8. Let b be u(6). Suppose 4*i + i - 4*k - 35 = 0, 3*k + 12 = -i. Let 8*o - 90\/7*o**2 - 8\/7 - 8*o**i + 14*o**b = 0. Calculate o.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*s**2*w**3 - 116*s**2*w**2 - 577*s*w**3 + 28*s*w wrt s.\nAnswer: 392*w**3 - 232*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383*p - 42 = 369*p. Solve -2*c + 7 = 4*l + 3, 6 = p*c - l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c + 9. Let g(p) = 6*p - 3. Give 11*g(v) + 4*l(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, l: 1, n: 3, b: 1, g: 7}. What is prob of picking 3 n and 1 l?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1430022 + -21?\nAnswer: -1430043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s + 4. Let w(f) = 60*f + 25. Let r(c) = -25*g(c) + 4*w(c). Let k(z) = -z. Calculate k(r(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -810 - -803. Let x(k) = 2 + 5*k - 10*k + 0 + 4*k - 8. Give x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*i - 414 = 251, -2*m + 266 = 2*i. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2 + 9*l + 13. Let v be j(5). Let s = v + -221. Calculate the remainder when 141 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 227 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 11. Suppose -5271 = -n*f + 13011. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16626 is divided by 5121.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 262 - 112 = 0. Solve -3*o + 2*m = -b, 5*m - m = -20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -8, -12.66?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40.7589 + -0.0411. Round l to the nearest integer.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*d + 3*d. Calculate the smallest common multiple of d and (-20)\/(((-126)\/7)\/9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 570 - 8*a**2 + 10265173*a - 10264900*a + 2*a**2 = 0.\nAnswer: -2, 95\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 6:44 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*j*q**3 + 876822*j*q**2 - 24*j*q - 320612*q wrt q.\nAnswer: 240*j*q + 1753644*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**6\/120 - b**5\/20 + b**4\/24 - 3*b**2. Let i be q(-3). Which is greater: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*z = 6, 0 = 4*p - 0*z - z - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -7279 in ascending order.\nAnswer: -7279, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1171.154 + 2077.88. Let u = -992.7321 + l. Let k = 86 + u. Round k to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/132 and -73\/172.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a. Suppose 2*k + a*k - 30 = 0. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k + 3 + 4 - 6 + 2 as o + g*k and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 36) + -6 - (-3 + 0 + -52)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.22? (a) -1\/3 (b) -3 (c) 3 (d) -18 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*-2*sqrt(156))\/sqrt(6))\/(sqrt(72)\/(-4*sqrt(9))))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/2365 and 27\/145985?\nAnswer: 1605835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3136.15 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1216) - (sqrt(1216) + -5*sqrt(1216))) + 1 + 1)*-3 + 4)**2.\nAnswer: -240*sqrt(19) + 273601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 816690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*f*n - 205*f - 2*n**4 wrt n?\nAnswer: -30*f - 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 120514*o + 120513.\nAnswer: (o + 1)*(o + 120513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + n = 12, -13*w + 3*n = -15*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*d + 1024 = 2*d, -5028 = -5*c - 2*d. Suppose 0 = -2*z + 570 + c. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326.3 + 398. Let z = -37.8 + h. Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/3 + 10*b**4 + 272*b**3\/3 + 246*b**2 + 165*b = 0.\nAnswer: -15, -11, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36\/13 + -219\/65. What is the nearest to -7 in t, 2, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8*(-168)\/105*10. Let g be 21\/42 - 58\/r. Solve -5*k - 15 = -5*z - 0*z, 2*k - 5*z = -g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(243) + sqrt(243) + 0 + -3.\nAnswer: -1 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 837806.9 to the nearest 1000.\nAnswer: 838000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1619574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 395740 to the nearest one thousand.\nAnswer: 396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 - 8*r + 5. Let q be (-21)\/(-15) + -2 + (-12)\/5. Let y be -1*(q - (-8)\/(-4)). Give j(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w. Let c(j) = 1. Let r(d) = -3*d**2 - 6. Let o = -35 + 39. Let a be o\/26 + 30\/(-26). Let v(m) = a*r(m) - 6*c(m). Determine n(v(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 - 2 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12754987 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 3*p + 3*p - 3*p + 22*p**4 + 5*p**3 - 26*p**4 to the form x + d*p**3 + o*p**4 + k*p + h*p**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1715 - -1745. What is the highest common divisor of 435 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11587 (base 15) to base 16\nAnswer: -d7d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43212838 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - z**2 + 0*z**2 + (-125 + z + 125)*((-3*z - z + 3*z)*(-3 + 1 + 1) - 3*z + 6*z - z) to t*z**2 + a + i*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 475675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, 44, -1.45, -0.4?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4026 (base 7) to base 12.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78187 is divided by 19395.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1\/3 (c) 0.846\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 - 357. Which is the closest to -0.1? (a) -0.03 (b) -4\/9 (c) t (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -313*k**6\/120 + k**5\/60 - 193*k**3\/2 - 215*k**2 + 3*k. Find the third derivative of t(f) wrt f.\nAnswer: -1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) - (3*1*sqrt(700) + sqrt(700)).\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3))**1)**(-21) assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04626362163 to four decimal places.\nAnswer: 0.0463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-3) - -2)*-9 - -6. Suppose 0 = -4*y + 4*n - 6*n - 56, -n - 40 = x*y. Is y smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -954 divided by 1200.\nAnswer: -159\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 495895.6134296 and -3.1.\nAnswer: 495892.5134296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 289867\/12 - 24155. Let u(i) be the third derivative of 1\/6*i**3 + 44*i**2 + q*i**5 + 0*i - 23\/24*i**4 + 0. Find the second derivative of u(n) wrt n.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 2*y - y)*(0 + 12 - 39) + 9*y - 87*y - 58*y - 38*y + 34*y to m + s*y and give s.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57899177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x + 35*x**3 + 6*x - 16*x**3 + 9*x**2 - 3*x**3 - 9*x**2 + (0 + 2*x**2 + 0)*(x + 0*x + x) in the form w + z*x**3 + i*x + c*x**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1018 by -7.\nAnswer: 1018\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 15 = 2*d, 2*d - 13*d + 10*d - 4*f + 25 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25992167, 25992168, 25992169?\n\"Answer: a + 25992166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 140 = -250. Suppose 0 = -40*j + l*j - 37. Are j and -36 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:05 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -16*l**2 + 2507*l - 664. Let a(b) = 4*b**2 - 627*b + 165. Let j(t) = -9*a(t) - 2*h(t). Suppose j(s) = 0. Calculate s.\nAnswer: 1\/4, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/17 (b) -0.11 (c) -6 (d) -2\/21 (e) -4 (f) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 433*x + 2534. Calculate i(-6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3)*66\/44)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0, -0.5, -0.1, -5, 2692, -8.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6 and -17\/492?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3340, 6731, 10122?\n\"Answer: 3391*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (-13500)\/180 + 69\/2\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.723 + -5.723. Let w be 4\/6*3\/(-5). Put b, 1, w in decreasing order.\nAnswer: 1, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/4617 and 37\/912.\nAnswer: 73872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-1 - (-6)\/3). Let j(v) = -v**3 + v**2 - v + 13. Let c be j(k). Let s(o) = c*o + 19*o - 28*o. Let w(q) = -q. Calculate w(s(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/9)\/1*(-36)\/(-39)*17589\/984\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 - 5*o + 2. Suppose -3*h = -4*h + 3. Let k be b(h). Suppose 0 = -4*d + 2*t + 6, 2*d - 6 = 4*d - 4*t. Solve d*i - k - 7 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 354\/1180*8\/(-18)*1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 7*k + 3. Let r(a) = a**2 - 8*a - 3. Let v be r(9). Let q be y(v). Let l(h) = -h**3 - 2*h**2 - 4*h - 2. What is the units digit of l(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 226 = d, 2*d = d - k + 223. Let o = d - 153. What are the prime factors of o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**7\/840 + p**6\/360 + p**3\/6 + 4*p**2. Let l(w) be the first derivative of g(w). Find the third derivative of l(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m + m**2 - 3*m**2 + 2*m**2 + 3*m**2. Let a be c(3). Solve t - a*t = -4*l + 16, 12 = -4*l - 5*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/135 - 32\/135. Let p = 95.9 - 91. Let z = 0.9 - p. Which is the second biggest value? (a) r (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m - 16. Let h be d(11). Suppose -4*o = -o - 3*f - h, 20 = 5*f. Solve -23 = -4*u - 3*y - 0, -2*y + o = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/13 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3089 is divided by 341?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**4*z\/(z*z**(-5)\/z*z*z)*z\/(z\/z**(2\/21))*z*z**(-2)*z assuming z is positive.\nAnswer: z**(191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is -4610000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 2. Let f be ((-1)\/z)\/(10\/(-30)). Which is the nearest to 0.1? (a) 7\/5 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 147*r**2 + 49*r. Let u(f) = 22*f**2. Determine q(u(j)).\nAnswer: 71148*j**4 + 1078*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36292*v**4 - 2925*v**3 - 31633*v**2 - 963*v + 3.\nAnswer: -871008*v - 17550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a hour in minutes?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*-1*(-5)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - 136\/(-14)) + 275\/7. Let y be -12*((-4)\/(-6) - 1). Let c = x - y. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 265*p + 12244. Give i(-39).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 11694.\nAnswer: 11689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/8*(-6)\/51 + (-22)\/187. Let t be (1\/((-1)\/(-26)))\/11. Let l = t - 23\/33. Which is greater: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 79. What is the third biggest value in -0.1, -2.2, o?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - 1) + -4 + -2 + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 36024899?\nAnswer: 36024899.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 10, -3, -20, -41?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 138 + (2 - -14) + -60\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = -5*h. Let c be (-2 - -2)*h\/2. Suppose c*t = t - 4. Solve t*u + 6 = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17019*d*u**3*z - 3*d*u**3 + d*u*z + 3*u**3 - 804*u wrt z?\nAnswer: 17019*d*u**3 + d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 215 + -217. Which is the second smallest value? (a) -0.01 (b) 0.1 (c) v (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/24 + u**3\/2 + 9*u**2\/4 + 19*u - 3. Factor v(i).\nAnswer: (i + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70242*u**3 - 3*u**2 + 24*u + 11 wrt u.\nAnswer: 421452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**2 - b + 1. Suppose 2 = -4*m + 2*f, -2*m + 11*f = 14*f - 19. Let h(s) = 5*s - 3. Determine m*h(x) - 7*v(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*n + 2*h, 0*h + 2*h = 3*n - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*k + 107733, 185*j + 5*k - 107740 = 180*j. Which is smaller: j or 21546?\nAnswer: 21546","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 + 3.07. Let u = -3 + o. Let w = 4 - u. What is the third smallest value in 0.1, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/20375 and -79\/4000.\nAnswer: 652000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - 444*o + 6709. Calculate c(131).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12112 - -331?\nAnswer: -11341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*h - 77*h = -155*h - 6*n - 16, 2*n + 92 = -21*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-18)*(-3)\/(-2). Let q(d) = 2*d**3 - 2*d**2 - d + 2. Calculate q(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1344 - 842. Let t = 733 - h. Let u be (-2)\/(-2*3\/t). Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*l**2 - 838*c*l + 2*c - 61486*l**2 - 1 wrt c.\nAnswer: 2*l**2 - 838*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 1, -16.13981?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c. Suppose -86 = -4*g + 2*g - 4*f, 0 = f - 4. Let h be (-20)\/g + (-117)\/(-21). Let t(x) = -x + 5*x + x. What is h*t(b) + 6*d(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w. Let k = 19010 + -19009. Put 11, k, 3, w in decreasing order.\nAnswer: 11, 3, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 8*k + 248. Let n(o) = 2*o + 6. Determine -4*n(u) + r(u).\nAnswer: u**2 + 224","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (19 + (-11 - (-25 + 11 + 7)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10710, -10707, -10704?\n\"Answer: 3*f - 10713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 7:26 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34765 (base 10) to base 16.\nAnswer: -87cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 877\/2 or 438?\nAnswer: 877\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 3*o + o + (-4 - 1 + 4)*(-650*o - 660*o + 1376*o).\nAnswer: -65*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 159666 = -5*k - k. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 149*r**2 - 3*r. Let a(m) = 14*m. Determine a(b(d)).\nAnswer: 2086*d**2 - 42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 + 17*j + 1. Let g = -95 - -93. Let z(k) = -7*k - 10. Let t be z(g). Let q be f(t). Calculate the highest common factor of 10 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590951 is divided by 1143?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 2*i**2 + 2. Suppose -4*x - 6 = -7*x. Calculate o(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3575*k - 35758. Calculate m(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8167 and 1880.\nAnswer: 15353960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -777 - -24092\/31. Let o = x + -51\/124. Which is greater: o or 7\/15?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = 5*l - 37, -432*l - c = -435*l + 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 68 = -10*k + 12*k, -k = 2*m - 31. Suppose 4*v = -2*i + 2*v + 48, -4*v = i - k. What is the units 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 (-355 - -13)*-5 - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7839325?\nAnswer: 5, 13, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*l**2 - 143*l**2 + 23*l**2 + (-2 - 3 + 4)*(-2*l - l + l)*(3 + 2*l - 3) to n*l + t + m*l**2 and give m.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -371 + 375. Suppose -5*z = c*s - 3314, -z + 250 = -5*s - 407. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009692 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.64518 to one decimal place.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.65 + -0.25. Let w = 9 - s. Let g = -0.3 - w. Which is smaller: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125083 rounded to the nearest 10000?\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9209327.\nAnswer: 29, 317563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + 4 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y**2 - 1. Let n(s) = 15*s**2 - 66*s. Let q(k) = -k**2 + 4*k. Let j(w) = -2*n(w) - 33*q(w). Give j(f(t)).\nAnswer: 363*t**4 - 66*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o. Factor o*w**2 + 2\/7*w**4 + 0 + 0*w**3 + 0*w.\nAnswer: 2*w**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = -6. Let b = -194 + 164. Let o be (b\/21)\/5*w. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -2 (c) -7\/37 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -27. Let o = i - 2. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2416 divided by -6\nAnswer: -1208\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3986302 or -3986303?\nAnswer: -3986302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - h**2 - 5*h + 63. What is s(4)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 5*c + 5. Let d be (-10)\/(-3)*(-162)\/45. Let j = 6 + d. What is x(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73\/3 in -21, -7, -3\/8, -0.2, -0.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.3 and 23.\nAnswer: -397.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(38)\/sqrt(2))**2 + (sqrt(19) - (-4 + sqrt(19) + 2*sqrt(19))).\nAnswer: -110 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 8*f + 9*f - 1334, -5343 = -4*c + 3*f. Does 32 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 13*k**4 + 32*k**3 + 36*k**2 + 19*k - 7. Let l(s) = s**3 + s**2 + 1. Let i = 21 - 17. Let o(d) = i*q(d) + 36*l(d). Factor o(t).\nAnswer: 4*(t + 1)**3*(13*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-11))\/(((-76)\/24)\/(-19)*-16)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - 2*sqrt(110)*-2)*-2*-3)\/(1*-3*(sqrt(640) - 2*sqrt(640))).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405662 = 1424*n - 953*n + 4087*n for n.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = 2*f + 5, -2*f + 12 = -4*v. Let o = 21 - 19. Suppose f = n + o*n - 168. Calculate the highest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jex when three letters picked without replacement from {e: 4, x: 8, j: 2, t: 1}.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 44 (b) 1\/5 (c) -1 (d) 4 (e) 203.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 261608285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 9:57 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10060 is divided by 1002?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 77.71 and -0.12.\nAnswer: 77.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 227 = -13. Suppose f*l - 570 - 2060 = 0. List the prime factors of l.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-144)\/192)\/((-6)\/5272). Let c = t + -660. Let l(x) = 8*x + 3. Determine l(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45599.32 litres in millilitres?\nAnswer: 45599320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -966 - -974. What is the highest common divisor of m and 1384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/5 - (-53)\/(-10)*12. Let i be 33*(-5 - m\/12). Suppose -5*q = i*q. Solve -4*x - 24 = 4*h, 5*x + 4*h + 27 = -q*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206672584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 20*u - 88. Calculate m(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 40616.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213448778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((-121)\/110 + 12).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*g + 1, -12792*f = -12790*f + 2*g - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 x, and 2 a when four letters picked without replacement from apaapaxcsrxaasrcx?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.113*-46\nAnswer: -5.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71251.\nAnswer: 43, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2902 + -43. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 3*v + 17, 16 = -3*v + 31 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x*x**(3\/8))**8*(x**(-6)\/(x\/(x\/x**2)*x))**(-7) assuming x is positive.\nAnswer: x**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-159220)\/18 - 44\/99. Let r = 194657\/22 + i. Find the common denominator of (-43)\/(-24)*6\/(-4) and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 58. Let i = 31229\/981 + -287\/9. Is i smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + u)*(-2*u - u + 2*u) + 0 + 0 + u**2 - u**2 - 3*u**2 + 2*u**2 - 1033*u**2 + 642675*u - 642675*u - 3*u**2 + 4*u**2 - 3*u**2.\nAnswer: -1034*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7603 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4068, 31809, 107048, 253533, 495012?\n\"Answer: 3958*m**3 + m**2 + 32*m + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4 + 72*j**3 - 811*j**2 + 738*j = 0. Calculate j.\nAnswer: -82, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28254 times -0.81?\nAnswer: -0.2288574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 384*i - 3049. Determine t(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465891 is divided by 232935.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 273857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8546 + 3?\nAnswer: 8549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06927 and -2961?\nAnswer: -205.10847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16556244 - 16556286.199649. Let v = 42.2 + f. Round v to 5 dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 60\/45*-1*6\/4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3617490263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29375120?\nAnswer: 2, 5, 367189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 65 = 3*y, -4*t - y + 115 + 167 = 0. Let v be 2 + 3\/3 + t. Round v to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3)**(-3)\/(g**(-3\/2))**33)**(-8\/5) assuming g is positive.\nAnswer: g**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20853954 is divided by 2317106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 2\/9, 5, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + -2 - (-1121 - 104) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 4*k - 10, -1 + 0 = 3*h - k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 126424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.11 - -15. Let u = -4.89 + t. Let d = u - -9. Sort 3, d, 1\/6 in decreasing order.\nAnswer: d, 3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 9*z**3 - 15*z**3 + 5*z**3 - 47*z - 45 - 33*z**2 + 27*z**2. Differentiate u(a) with respect to a.\nAnswer: -6*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -1 - (1 + (3 - 6)). What is the greatest common divisor of p and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6107*l - 1054*l - 610702 + 145237 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 156*z**3 - 32 + 6 + 12.\nAnswer: -156*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 113204251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, -0.26, 0.5, -2, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.39 and -0.4868.\nAnswer: 0.676652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2308929989\/2070 + 20134673\/18. Let m = 3168 - d. Let j = 2\/69 + m. What is the biggest value in 0, -3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**3*x**2 + 2792*b**3*x - 61*b**2*x - 2139*b + 1213*x**2 + 2*x wrt b?\nAnswer: 30*b*x**2 + 16752*b*x - 122*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*k + 3, 2 = -k + 3*q - 1. Suppose -358 = 2*y + 2*d, d + k*d - 352 = 2*y. Let u = -73 - y. What is the highest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*z + 85290 = 0, -1031*z - 51179 = -3*d - 1033*z. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3)*w)**(-46)\/((w\/w**(-1))\/w**(-1\/5)) assuming w is positive.\nAnswer: w**(-1161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 75224*x**2 - x - 2. Let k be w(2). Suppose 4*n = k + 251108. What is n rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 2\/755, 97, 123?\nAnswer: 2\/755","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 1\/5 (c) -4\/11 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 44172.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13204761 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 5*w + 30 = 44 + 26, 5*v - 32 = -4*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 48112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136143907?\nAnswer: 173, 786959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10005196.\nAnswer: 5\/10005196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 s when three letters picked without replacement from {v: 1, h: 2, s: 1, o: 2, a: 3, q: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1626 divided by -1.\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -10*b + 88. Let w(o) = -o**3 + 2*o**2 + 2. Let d(i) = 5*i**3 - 11*i**2 - 11. Let p(c) = b*w(c) + 4*d(c). Factor p(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 11\nAnswer: -46\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9060.\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17290, -17573, -17856?\n\"Answer: -283*d - 17007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + 115. Suppose 82 = -3*b + v. Let j be 2\/(-7) - b\/(-28). Solve -s + 24 = 5*y, s + 2*s - 20 = -j*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33283719 divided by 5\nAnswer: 33283719\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 782841 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1443360 by -120280.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*d = 5005, 2*d = -v + 360 + 641. Let a = 2127 - v. What are the prime factors of a?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Suppose -h + 4 = -3*a + 2, 13 = 2*h + z*a. Suppose 2*t - 106020 = -h*s, 0 = 5*t - 2*t + 2*s - 159008. Round t to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -t + 750. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*((-6)\/4 - (-516)\/120). Let t be (-2)\/l*(4 + (-135)\/25). Which is the third smallest value? (a) t (b) 0.08 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 33 - 76\/(-19) - 6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*-3*(-2 + sqrt(242)).\nAnswer: -495*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/7 - 137151348*f\/7 - 1567541021518092\/7.\nAnswer: -3*(f + 22858558)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v = 17 - 79 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-35))\/(4\/10*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1007 and 4.\nAnswer: 4028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/10, 6, -5117?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 500539694 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 5*i**2 - i - 6. Suppose -5*s = -2*v - 41, 40 = 4*s - 4*v - 0*v. Is a(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**2 + 2*l - 13. Let j(v) = -3*v**2 + v - 7. Let r(s) = 6*h(s) - 11*j(s). Determine r(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*r**3 - 174*r**3 - 171*r**3 + 470*r**3.\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2998472 is divided by 749615.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5080 by 127.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*j + 1469 + 706, -5*q - 20 = 0. Does 20 divide (-4)\/(-10) + j\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*n**3*u**2 + 2*n**3 - 131*n**2*u**2 + 2*n**2*u - 33*n**2 + n*u**2 + 22*u wrt u?\nAnswer: 44*n**3 - 262*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/33 + (-2)\/11. Let r be -6000 - m*(-1)\/4. What is r rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + (-5)\/4. Let l = 47\/3 + -373\/24. Which is smaller: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (-2 + sqrt(175) + 2 - sqrt(175)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1715*i = -1699*i - 1056. Calculate the highest common divisor of 2816 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/27899 and -83\/55798?\nAnswer: 55798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 27 = a + 3*c, -5*a + 3*c = 5. Suppose a*k - 4 = 38. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + -5) - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4022447630 - 4022447545.00000076. Let b = 85 - a. What is b rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22975300091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25034242 (base 6) in base 9?\nAnswer: 1445578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 985331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 450 - -261. Suppose -9*a + 167 = -7*a - 3*c, 5*a - 383 = -4*c. What is the greatest common factor of a and v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -38*c + 2. Let a be l(1). Let b be ((-3802)\/6)\/((-6)\/a). Is 8\/(-36) + b\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/6, -3\/10, -1, -307\/5, -1\/31?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13513 + -283?\nAnswer: 13220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) - (40\/(-6) - -2). Suppose 0 = -7*l + 8*l - h. What is the third derivative of 0*i**4 - 7*i**4 + 93*i**2 - i**l - 102*i**2 wrt i?\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361651957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*o - 10, -w + 5*o + 272 = 0. Let p be 2\/354*(-6)\/w. Let x = p + -890123\/83190. Calculate the common denominator of x and -25\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.5 - -7. Let y = 0.33 + -1.03. Let z = -0.3 + y. Sort z, 6, m.\nAnswer: z, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2\/7, 0.3, 2, 2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 2*v**3 + v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55280, 111967, 168654, 225341, 282028, 338715?\nAnswer: 395402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92713477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -237478, -238817, -240168, -241537, -242930, -244353, -245812, -247313?\n\"Answer: -m**3 - 1332*m - 236145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -49 - -7)*-1. Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 18*o - 13*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 7*q**2 - 8*q**2 + 12*q + 10 - 2.\nAnswer: -q**2 + 12*q - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -241740 (base 8) in base 10?\nAnswer: -82912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = s - 12. Suppose -3*g = 4*d + 2 - 4, -g - s*d = 0. Find l such that 2*l**g - l**2 + 1 + l**2 + 7 + 8*l = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -814, -1567, -2306, -3031, -3742, -4439, -5122?\n\"Answer: 7*k**2 - 774*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*n + 9 = -2*n, 0 = 5*z - 3*n + 15. What are the prime factors of (10\/(-6) - -1)*z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457501 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6*1)\/((-3)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 3. Let c be (4\/(-6))\/((-4)\/6). Let o = 1 + c. Let x be t(o). Is 2\/11 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1.055\nAnswer: -1.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12729 and 4230271?\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148712256 and 1344.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 + 11*l - 19. Let t be o(-5). Differentiate 85 - h - t*h + 0*h - 16*h with respect to h.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*x**4 + 2\/3*x**3 + 9*x**2 + 52\/3*x + 28\/3 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -76*v - 4*v + 3. Let t(y) be the third derivative of v - 44*y**2 + 0*y**3 + 1\/24*y**4 + 0*y. Let m(r) = -23*r**2. Determine t(m(i)).\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 60*d**2 + 172*d + 1088. What is t(63)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18361?\nAnswer: 7, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 60 - 60 = 0. Suppose 3*a - 23 = z, 218*z - 215*z = 4*a - 34. Do q and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*39\/(936\/(-336)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205.6 - -19.4. Let f = 19 + j. Let u = f + -244.00119. Round u to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2424330132 (base 5) to base 7.\nAnswer: 66303361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 481016269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*b + 2*v, b + 4*v + 8 = -0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 = 25. Let o = 21 + -17. Let w be 40\/12 + o\/6. Solve c - 31 = -w*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 0. Let f(r) = 0*r**3 + 6 - 2*r - r**3 + 0*r**k. Let n(b) = b**3 + 2*b - 5. Let c(p) = 5*f(p) + 6*n(p). Find the second derivative of c(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 10, 3, -28, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3147.\nAnswer: 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.453 - -12.4. Let q = z + 24.653. Let b = 25 - q. What is the second biggest value in 0.03, -3\/7, b?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58750 and -0.66.\nAnswer: 38775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -717?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.67 - 0.07. Let r = 0.4 + o. Let y = 0.198 - 0.198. Is y smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -4*n + 4*l, 0 = 5*n + 4*l + 153 - 411. Suppose 74*c = 27*c - 77*c + 12199 + 325. Calculate the remainder when c is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11561 (base 7) in base 12?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 80, 134, 218, 338, 500?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*sqrt(567))**2 - sqrt(7) - (sqrt(112) - -2*sqrt(112))**2) + sqrt(63)\/(sqrt(1089)*1)*-3.\nAnswer: -14*sqrt(7)\/11 + 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -26*p + 4*r + 2, 0 = 4*p + 4*r - 40. Solve -p*s = -137 + 109 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4162 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 12*c - 9. Calculate i(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 + 189*s - 7. Give d(40).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1261499, 1261491, 1261483, 1261475, 1261467, 1261459?\n\"Answer: -8*l + 1261507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289479 divided by -103.\nAnswer: 289479\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -3*t**3 + t**2\/2 - 5*t - 2. Let f(d) = -5*d**2 - 3. Give 5*f(a) - 3*y(a).\nAnswer: 2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 65*h + 171 = 103*h. Solve 3*q = -3*u - 6, 4*q - 2*q = 3*u + h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:51 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 742, 815, 938, 1111, 1334?\n\"Answer: 25*z**2 - 2*z + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x + 2. Let b be q(0). Solve 8 = -6*u + b*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 8. Let z(q) = -2*q + 6. What is -4*a(n) + 3*z(n)?\nAnswer: 2*n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-2)\/4)*0. Suppose -o - 2*q + 6*q + 10 = 0, v = 3*o + q - 82. Let j be -3*(o - (5 + -2)). What is j rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 980 and 44380?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 + 34*u - 225. Let p be k(5). Solve 7*w - 35 = -p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 > 5231\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 197\/45 - -2\/9. Which is bigger: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o*s**3*u**3 - 78*o*s**2 - 10*o*s*u**3 + 559*o*u**3 - 15064391*s**3*u**3 wrt s.\nAnswer: -30*o*u**3 - 90386346*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(-4*a + 6*a - a) + 0*a - 2*a + 4*a - 16 - 62*a + 14 - 11*a as b*a + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-25)*n*n**(1\/13) assuming n is positive.\nAnswer: n**(-311\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (145 - 13)*(-2)\/4. Let g = 114 + f. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 93 - 7 - (5 - -26 - 20).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.49 - -69.\nAnswer: 89.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 34, 46, 52, 46?\n\"Answer: -j**3 + 6*j**2 + j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-15) + 34\/10. Suppose -l*v - 42 = -4*v. Suppose 2*z = 4*h - v, 0 = 4*z + 1 - 5. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3378, -5232, -7124, -9072, -11094, -13208?\n\"Answer: -3*y**3 - y**2 - 1830*y - 1544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49033, -97949, -146867, -195787, -244709, -293633?\n\"Answer: -c**2 - 48913*c - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -7) + -7 + 0 - (-2 + -16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 34 = 14. Let s = -78 + 81. Calculate the remainder when i is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*s - 4024 - 4976, 5*c - 4*s = 9001. Let n = c + -14355\/8. Calculate the common denominator of n and -1\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28346670.8999962 - -28346675. Let s = -0.2 + -3.9. Let u = s + i. What is u rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44)\/(-3*sqrt(196)) + 4)**2.\nAnswer: -8*sqrt(11)\/21 + 7067\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*j - 3*j + 10*j)*(0*j**3 + 0*j**3 - j**3) in the form v*j**3 + k + a*j**2 + h*j + y*j**4 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19694 - 30939273\/1571. Let y = -142963\/3142 + v. Let g = -2009\/423 - 4\/141. What is the common denominator of y and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 3*j**2 - j + 4. Suppose 7 = 3*w + 5*n - 22, -4 = -n. Let g = 23 - 11. Suppose w*u + g + 3 = -t, -2*t = -5*u - 14. Give d(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2151, -2135, -2107, -2067?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17712 and 1494819.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 26750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 2\/9, -5, 3.8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 10*f**2 + 9*f + 13. Let q(r) = -2*r - 11. Let t(u) = -u**2 + 8*u - 10. Let g be t(8). Let o be q(g). Let n be k(o). Solve -n = 4*d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76968 - 8287*c + 76968)*(3*c**2 - 3*c**2 - 2*c**3).\nAnswer: 16574*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 4:43 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 2210294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3909, 69, -2 in decreasing order.\nAnswer: 3909, 69, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by 408?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**2 - 3*h + 20*h**2 + 34*h**2.\nAnswer: 81*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**30*a**41*(a*a**(-12))\/a*a\/(a\/((a\/(a*a\/(a*a\/(a\/(a**43\/a))*a)))\/a)*a) assuming a is positive.\nAnswer: a**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nndn when four letters picked without replacement from ddzddndddndddnd?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*61611\nAnswer: -24644.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/20 + t**4\/3 + 4*t**3\/3 - 7*t**2\/2 - 3*t. Let n be 2*2 + 0 + 1. List the prime factors of o(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -66. Suppose -p = -s - 1. Suppose 4*h - 300 = -3*o - 91, -4*h + 284 = s*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -53, -118, -239, -434?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p - 10. Let d(v) = 13*v - 18. Let o(u) = -4*d(u) + 9*y(u). Give o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 14*v + 0*v**2 - v**2 + 19 + 6*v.\nAnswer: -2*v**2 - 8*v + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25975791 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: Simplify f\/(f\/f**(-6))*f**(-2\/11)*f**(-4\/9)\/((((f**(2\/7)\/f)\/f)\/f*f)\/f)*((f\/f**(1\/5))\/f*f)\/f**(-2\/3)*(f**(1\/2))**(3\/8) assuming f is positive.\nAnswer: f**(-125173\/55440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3285877312.\nAnswer: 2, 51341833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:24 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -394148 divided by 4.\nAnswer: -98537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-894)\/596*1\/3)\/((-5)\/(-2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**6 - 10*h**2 - 6*h. Let a(r) = 2*r**6 - 21*r**2 - 13*r. Let i(z) = -6*a(z) + 13*q(z). What is the third derivative of i(u) wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 766*i + 390703. Is a(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23016, 46040, 69064, 92088, 115112, 138136?\n\"Answer: 23024*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r - 5*r = 196. Suppose m - 67 = -p - m, 0 = -3*p + m + 187. Calculate the greatest common divisor of r and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkiki. What is prob of picking 2 k?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/17))**(-12\/19)\/((u*u*u**20)\/u*u**(17\/3)\/u) assuming u is positive.\nAnswer: u**(-25591\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6732480 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 2*k - 6*k + (1 + 3 - 5)*(-k + 2*k + 0*k) + 0 + 0 - 2*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-2)\/(-1)*(-1)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -4*c + 23, -5*h = c. Let j(z) = -z**2 + 7*z - 2. Let l(v) = v**2 - 7*v + 2. Let i(u) = -5*j(u) - 4*l(u). What is i(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (1 + -6 - 154). Let x = r - 136. What is the remainder when 74 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/2 - 34*n - 427\/2 = 0 for n.\nAnswer: -61, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -6 + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/3969)\/(1\/57))\/((-2)\/(-12)).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.1 + 22.3. Let p = j - 29. Which is the fourth biggest value? (a) -0.01 (b) p (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqajjqoqkkoyjoq. What is prob of sequence qkoo?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 5*m - 7*v - 15, -13 = -4*m - v. Solve 7 = c - 2*c - m*f, 4*f = -4*c - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -16 - (1 + 4)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 27, 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2, 7\/5, 5, -4 in descending order.\nAnswer: 5, 2, 7\/5, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -5*d**3\/6 + 23*d. Let x(z) = 6*z. Suppose -2*p + 23 + 31 = 0. Suppose -8*g + p = g. Calculate g*v(n) + 2*x(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6526\/3 + 2178. What is the nearest to 0.1 in l, -0.3, -1\/2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 774885411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -38. Let i = r + 23.946. Round i to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m. Let w = 173 - 151. Let c(o) = w + 10 - 95 + 2*o**2 + 31. What is u(c(r))?\nAnswer: 2*r**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7014 times -3.296?\nAnswer: 23118.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 3*s**4 + 25 + 10*s)*(-4*s + s + 4*s).\nAnswer: -3*s**5 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-28) + -3 - -6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 55*b**2 + 370*b - 4142. Give u(60).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 - 337 = -9*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 + 31*c + 6. What is h(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = -4*t + 3*g - 4*g, 0 = 3*t + g - 504. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 24123.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298906273 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*f - 8. Suppose 3*u + 2*u = -5. Let w = 93274 - 93280. Sort f, u, w in increasing order.\nAnswer: w, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 3 + 0 - 2)*(-2*l - 9 - 4*l + 8) to m + n*l + v*l**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:00 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 + 6*s. Let y be q(4). Suppose -5*o + 3*a + 62 = 0, -2*o = 5*a - y*a - 32. Let v be (5 + 1)\/(15\/o). Solve -v*f + 8*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5791335 is divided by 2900.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 3. Let y be k(3). Suppose y = -9*i + i - 1632. What is the tens digit of ((-55)\/44)\/(3\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 divided by 1?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 0. Let i(m) = -m - 6. Let v be i(-8). Suppose v*w + f = 4. Solve w*g = 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(-105) - 122\/(-10). Solve 3*u + 18 = v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-6)\/10 - (3 + -7))*5 and 11?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 bigger than 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 2*q**2 + 2*q - 2. Let w be c(2). Let g = -601 + 597. Let k = g + w. Is k >= 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 11*v - 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 9*r**2 + 12*r - 12. What is the units digit of g(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/15 and 25\/17?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*j - 19. Suppose -9 = k + 5*g, 3*k + 5 + 2 = j*g. Let d(r) = r**2 + 3*r + 4. Calculate d(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j - 77 - 3*j + 75. Let r be o(2). List the prime factors of 7\/28 + (-86)\/r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 460\/(-32) + (-42)\/(-112). Sort k, -2, 5, -1, -17 in descending order.\nAnswer: 5, -1, -2, k, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 - -133.5. Let q = 32.5 + i. Let d = -1 - 3. What is the closest to 0 in q, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 16*h**2 - 72*h - 84. What is the tens digit of t(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1320204218*w + 0 - 14*w**2 - 14*w**2 + 1320204219*w.\nAnswer: -28*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/5 + 3*i**4\/5 + i**3 - 3*i**2\/5 - 4*i\/5 = 0 for i.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 39*k + 270 = 9*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 462.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11750*n**4 + 5041*n**2 - n?\nAnswer: -282000*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssssssscssss?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/384, 0.3, 1, -1\/2 in descending order.\nAnswer: 1, 0.3, 1\/384, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-5 + 2) - 3. What is the first derivative of s*i**4 + 6*i**4 + 6 - 21*i**4 + 3 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 + -1)\/(-2))\/(-31 - -33)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6641.728 minutes in nanoseconds?\nAnswer: 398503680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196742627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(8\/5)*(k**(-2\/13)\/k)\/k assuming k is positive.\nAnswer: k**(-36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17272, 28707, 40142, 51577?\nAnswer: 63012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61283, 122575, 183867, 245159, 306451, 367743?\n\"Answer: 61292*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 120111 (base 4) to base 8\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1053)*-1 + sqrt(1053) + sqrt(52)\/(sqrt(4)*1) + 1)**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156743.\nAnswer: 41, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 6 = 10*a. Let g = 8 + a. What is the remainder when g is divided by (-3 - -4) + -3 + (-12)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*z**4 + 0 - z**4 + 5*z**4 + 2*z**4 + (7*z**3 - 8*z**2 + 8*z**2)*(1 - 2*z - 1) to k*z**3 + t + d*z + r*z**2 + l*z**4 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/19, -3, -22399 in decreasing order.\nAnswer: -10\/19, -3, -22399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5859250 to the nearest 10000.\nAnswer: -5860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113835 is divided by 2276?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 487, 967, 1605, 2401?\nAnswer: 3355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311314, -622622, -933908, -1245160, -1556366?\nAnswer: -1867514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 3*m + 0*m**2 + 54*m - 108*m to k*m + r + q*m**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 41. Let h be g(-12). Suppose 0 = -2*v - h - 123. Let a = v + 97. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = -26*u - 2760. Let r = -320 - u. Calculate the highest common factor of 58 and r.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(2*3\/183)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 2*c**2. Calculate the remainder when 30 is divided by t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644138 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i - 6*i + 5*i. Let c be m(-1). Suppose -9*t = -c*t - 9. Which is bigger: 2\/5 or t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*c - 3 = 0, 2*m + 16*c = 14*c + 6. Solve -16*r - m = -14*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 482, 483, 484, 485, 486, 487?\n\"Answer: l + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 5. Let m(v) = 4*v - 8. Let y(d) = -5*m(d) + 8*t(d). Let w(g) = -2*g**2. Calculate w(y(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -26. Suppose a + a - 10 = 0, -l*y = -3*a + 9. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8. Suppose -c + 5*k + 167 = s, c + 2*k = -3*c + 646. Let g = c + -105. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.03201, 1.7 in decreasing order.\nAnswer: 1.7, -0.03201, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 60 = 16*i - 32*i. Solve 0 = -8*w + 3*w + 4*s - 6, -w + 14 = i*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 10 = -4*n. Let r be (2 + 8\/n)\/1. Let y = -285 + 281. What is the nearest to r in -0.2, 1\/7, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*c + 136 = -69*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a - 2*f + 8, -a + 3*f = -9. Let p(y) = 37*y**3 - 9*y + 18. Is p(a) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 p when three letters picked without replacement from ipipiip.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-224))\/((-5)\/(-2260)*-1). Let t = -1\/42 - u. What is the common denominator of -101\/176 and t?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 121714 = -k - 121594, 34*k + 4*a - 120 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/w)**(-32)\/(w\/w**(4\/9)*w\/((w**(-2\/5)*w)\/w)) assuming w is positive.\nAnswer: w**(-1528\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1395*q**3 + 1031?\nAnswer: 4185*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1369553672 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (19\/(-4))\/(1\/(-116)). Suppose -2*f - 1460 = 4*t, 1096 = -0*t - 3*t - f. Let q = t + r. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 10512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 831 - -467. What are the prime factors of u?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486\/55 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(-3)*-12. Let o = 27 - c. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -k + 5. Let o(d) = -d**2 - 6*d + 2. Let c be o(k). What is the units digit of -3 + 28 + -4 + c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -684*y**3 + 2*y**2 + 4*y + 1. Let q be t(-2). Suppose 7*p - 1982 = q. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.073 * -2.48.\nAnswer: 0.18104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 9*c**2 + 7*c + 11. Determine d(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyx when three letters picked without replacement from {j: 6, x: 10, y: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94808057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -8487?\nAnswer: -8483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**14\/u*u\/(u\/(u*u\/(u**8\/u)*u))*u)\/(u*u*u**(-4))**42)**(5\/6))**2 assuming u is positive.\nAnswer: u**(470\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/((-136)\/17) + 7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 293286, 291340, 288090, 283530, 277654, 270456, 261930?\n\"Answer: -d**3 - 646*d**2 - d + 293934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/26)\/n**8)**(-13))**5 assuming n is positive.\nAnswer: n**(1025\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -541 + 545. Suppose -1290 = -3*k - 2*y, -4*y - 1275 = -3*k - y. Suppose 0 = 5*l + 5, 0 = m*j - 2*l - 106 - k. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Let u be 3\/6*2 + h. Let b = -2 + u. Solve 0 = r - 2 + b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 26*i + 35 - 105 = 3*k, 5*i - 5*k + 370 = 0 for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056264 to 6 dps.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {g: 1, n: 2, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 249350757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/6 + 25*h**2\/6 - 187*h\/6 + 121\/2.\nAnswer: -(h - 11)**2*(h - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -59, -4, 1, -1763 in decreasing order.\nAnswer: 2, 1, -4, -59, -1763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 9*u**2 + 10*u**2.\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3 - 581774092*u**2 - 35995638*u + 4 wrt u?\nAnswer: -6*u - 1163548184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2. Let y(g) be the first derivative of 1\/3*g**3 + 0*g**2 + 0*g + 1. Calculate y(n(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + o + 5*o)*(18 - 418 + 89)*(3 - 8 - 5) in the form w*o + k and give w.\nAnswer: 6220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2 - 1)\/1)\/((-1)\/(-119)). Let y = q + -11. What is the greatest common factor of y and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -c + 17, 61 = 4*f + 2*c - 13. Calculate the least common multiple of (-82)\/(-4) + (-3)\/6 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 2 (c) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 6*b**2 + 17*b + 72. Let v be a(-5). Solve -5*u + 2 - v = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 51 + 13 = 0. Let w be 0\/(5\/(5\/2)). Suppose w = 2*g - 8*g + 1344. What is the highest common factor of g and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44216 less than -43950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6864, 13727, 20590, 27453, 34316?\n\"Answer: 6863*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*x**5 - 7394*x**4 + 874991*x**2.\nAnswer: -1560*x**2 - 177456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2036?\nAnswer: 10180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24570881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1669220.7.\nAnswer: -3338441.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*h + 2*h - 35, -4*h + 56 = -4*f. What is the least common multiple of 27 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 - 3 = 14*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5\/11 - 325430*d**4\/11 - 2115156*d**3\/11 - 2440528*d**2\/11 + 14792*d + 813510\/11 = 0. What is d?\nAnswer: -81351, -5, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**4 + 2*j**3 + 2*j. Let n(z) = -11*z**4 - 3*z**3 - 3*z - 1. Let c(o) = 2*n(o) + 3*y(o). Find the first derivative of c(x) wrt x.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iec when three letters picked without replacement from {e: 6, v: 3, i: 3, j: 1, c: 3}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -6. Let l(d) = -7*d - 10 + 0*d**2 + d**2 + d. What are the prime factors of l(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1124 (b) 0.02 (c) -1.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h + 19 + h**3 + 12 - 24 - h - 10*h**2. Let c be a(10). What is the second derivative of -17*v - c*v**2 + 9*v + 0*v + 5*v wrt v?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -19*g + 16. Let o(p) = p + 26. Let z be o(17). Suppose -5*u + 4*i - z = 0, u - 3*i - 29 = 6*u. What is the units digit of f(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 116, 161, 200?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(1\/4)\/k*k)\/k*k)**(-17)*(k**(-16)*k)\/(k\/(k*k**(-7))))**(-1))**(-4\/5) assuming k is positive.\nAnswer: k**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j + 146 = -22 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*y + 64*y = -18336. What is the remainder when y is divided by 114?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130*c**2 + 130*c**2 - 6*c**5 + (-7*c**4 + 0*c**4 - c**4)*(-3 + 9*c + 3) + (-3 + 4 - 3)*(0*c**5 - 2*c**5 + 0*c**5).\nAnswer: -74*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -16. Suppose 0 = 5*y - 10, 2*t + 2*y - 6 - 6 = 0. Suppose j = -2*f, -4*j = -t*f - 0*f. Solve d + 0*d = -4*i + 18, f = -d + g*i - 17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 13 - 9 - 0) + -3 - 20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Let k be ((-284)\/(-1562))\/((-8)\/11). Which is the closest to 1? (a) 2\/3 (b) k (c) 3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 5*q**2 - 7*q + 5. What is f(-7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**2 - 2*c + 2. Determine w(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 349\/198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.8 + -1.8. Let d = 0.12 - -0.18. Which is the second smallest value? (a) 2 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184586637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 2\/13, 5, -1, -4 in increasing order.\nAnswer: -4, -1, 0.07, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -620, -1244, -1870, -2498, -3128?\nAnswer: -3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdygypdqqqgqgqq. Give prob of sequence qg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 659, 2182, 5135, 9992, 17227, 27314?\nAnswer: 40727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -0.1, -0.9, -7 in descending order.\nAnswer: 0.4, -0.1, -0.9, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -467b3 (base 12) to base 7\nAnswer: -542244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 394913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 888, 2022, 3812, 6180, 9048?\nAnswer: 12338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 19*z - 8*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 41.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d. Let p(j) = 90724*j. Give n(p(r)).\nAnswer: -907240*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -108167 divided by 14?\nAnswer: -108167\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - -61. What is the greatest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1121 - 2?\nAnswer: 111b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 1. Let a(w) = w. Let f(y) = 3*a(y) + z(y). Let r(x) = 4*x**2 + 11*x - 11. Give 22*f(g) - 2*r(g).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**7\/21 - 3*o**6\/5 - 3*o**5\/2 - 7*o**4\/6 + 54*o + 3. Let l(f) be the first derivative of t(f). Factor l(g).\nAnswer: -2*g**2*(g + 1)**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6601 - 2418?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(180)\/sqrt(4) - (1 + sqrt(45) + -5))**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 17 (c) 5\/9 (d) 2.9 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - k + 1, k - 1 + 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150264 = -14*u + 175502. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/(-48))\/((-8 - -1)\/42). Put 5, f, 25 in descending order.\nAnswer: 25, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 18 - 9*f**2 + 9 + 93 + f**3 - 4*f - 114. What is q(7)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 12?\nAnswer: 59\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -559 divided by 1\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 3:55 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1232 (base 4) to base 16\nAnswer: 6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 5)*(-7*h - 10*h + 7*h) + h - 4*h + 2*h - 6*h - 6*h + 4*h + (6 - 2 - 3)*(-5*h + 5*h - h) as s*h + p and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*d**4*r + 2*d**4 - d**3*r + 2*d*r + 8*d - r wrt d?\nAnswer: 168*d**2*r + 24*d**2 - 6*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4)*2 - (-99)\/36\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6916.601 litres in millilitres?\nAnswer: 6916601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15846, -15852, -15858?\nAnswer: -15864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5471 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 1\/14, 383, -0.3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*x**2*y**2 - 4*x**2*y - 3*x**2 - 252*x*y**2 - 3*y**2 + 20*y wrt y.\nAnswer: -8*x**2 - 504*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5289)\/6 - (3 - 10\/4). Let p = r - -1529. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0113603 to 5 dps.\nAnswer: 0.01136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*r + 7 = -281*r - 6*l, 4*l = -3*r - 21 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 222 + -35?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 30 = -5*r, -r + 119682 - 119685 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y. Let i = -1 + 1. Let z = -1 + i. Sort y, 3, z in decreasing order.\nAnswer: 3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180060*s**2 + 3*s**3 + 180060*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2463, 5005, 7549, 10095, 12643, 15193, 17745?\n\"Answer: v**2 + 2539*v - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from mmiimmmimimmmm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:55 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p. Let m(s) = 26*s**2 - 7*s**2 - 4*s**2 + 2*s**2. Calculate o(m(v)).\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 5 + 2*x + 6 + 2*x**2 - x in the form o*x**2 + k + s*x and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-10)\/(-1680)*63)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnq when four letters picked without replacement from {q: 6, n: 4, e: 1, i: 1, g: 6}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -493.50024*0.4\nAnswer: -197.400096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - w - 759 = 0, 3*l + 146 + 1012 = 5*w. Let f = l - -1593\/4. Calculate the common denominator of 127\/6 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 31745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.04*3190.\nAnswer: 28837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*r - 24, -g - r + 8 = -2*g. Let v = 7 + g. Find the third derivative of -2*f**v + f**3 + 2*f**2 - 3*f**2 + 4*f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from ggcygydgg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5.08. Let v = z + -3.08. Let u = -0.019 + 5.019. Which is the smallest value? (a) -0.4 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 10:50 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -9*j**5\/20 + 5*j**3\/3 + 5*j**2\/2 + 31*j. Is v(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2 + 229620*g + 6590668050 = 0.\nAnswer: -57405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -4*i. Suppose -b = 6*k - 4*k, i*k = b - 5. Suppose b*v - 3*v + 104 = 4*s, -5*v - 105 = -5*s. Round s to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397*z**4 - z**3 - 116*z**2?\nAnswer: 9528*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 7\/((-35)\/(-75)) - (0 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 3*u - 2. Let c be k(2). Solve 0 = -5*a, c*a + 2 = 2*i - 2*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559600353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + p + 1 - 5*p + p + 3*p + (4 - 2 + 0)*(2 - 2*p - 2) + 0*p + 0*p + p - 2*p + 0*p + p)*(p**3 + 0*p**3 + 0*p**3).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -24 + 8*b + 9*b**2 - 11 + 42 + b**3. What is the units digit of g(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 6109*o**2 + 6133*o**2 - 9 - 24395*o**2 + 6138*o**2 + 6056*o**2.\nAnswer: 41*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4198 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*i**3 - 35*i**2*m + 3*m - 547 wrt i.\nAnswer: 51*i**2 - 70*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -13*v + 105. What is the highest common divisor of 119 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k. Let a(o) be the first derivative of -3 + o - 5\/12*o**4 + 0*o**3 + 0*o**2. Let q(d) be the first derivative of a(d). Calculate q(g(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1231646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 72 = 4*t, 4*f + f = -4*t + 87. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -8, -1891 in decreasing order.\nAnswer: 16, -8, -1891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(114)\/sqrt(6))**2*4.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 2*l**2 - 6*l - 58 + 44 + 6*l**4 in the form y*l + a*l**3 + p*l**2 + r + v*l**4 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6713*v**2 + 2*v**3 + 6711*v**2 + 18*v**3 - 14 wrt v.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1))\/b)**43 assuming b is positive.\nAnswer: b**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c9b9aa8 + -1?\nAnswer: 1c9b9aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166859.99928877 - -166860. What is j rounded to 5 decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*a + 6 = 0, 7*k - 10*k = a + 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 58?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 15*i**3 - i**2 + 2*i - 1. Let d = -29 - -35. Let n be (1 - (-10)\/(-6))*d\/(-4). Calculate the remainder when 35 is divided by b(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -28, -55, -100, -169, -268?\n\"Answer: -u**3 - 8*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8)\/(((-14)\/28)\/((-22)\/2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 4:56 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u = -88*u + 45*u - 14 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24572494 or -24572495?\nAnswer: -24572495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 150\/12*(-1 - 1). Let z = r - -92. What are the prime factors of z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d + 4. Let k be u(1). Sort 27, k, 2 in decreasing order.\nAnswer: 27, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*r + 82*r - 246*r**2 + 256*r**2 - 3 to f*r**2 + z + q*r and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 7184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from poqpp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*z - 157 - 651, -z = -3*s + 596. Let y = 201 - s. Solve -3*v - 2*o - 3 - 8 = 0, 3*v - 5*o + y = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97388*b**2 - 610*b**3 - 325 - 97388*b**2 + 54*b**3 wrt b?\nAnswer: -1668*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 11*n - 13. Suppose 1 = -6*z + 79. Calculate r(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051888 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 729 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512581907 to the nearest integer?\nAnswer: 22640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c - 3. Let w(u) = -2*u - 1. Let d(y) = 6*i(y) - 17*w(y). Let j = 3 - 5. Calculate the smallest common multiple of d(j) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47087002 - 1?\nAnswer: -47087003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2258 divide 204245132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*o + 27*o + 30*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t - 16. Let l be u(-3). Let w = -40 - l. Suppose 0 = 2*m + 5*p - 12, 2*p + w*p = -4*m + 44. Solve 4*n - m = 4*c, 0*c - 5*c - 8 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 3*t**2 + t. Let j be (15 + -8)\/(-1 - (-4)\/6). Let q = -18 - j. Calculate the remainder when 9 is divided by p(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 7:41 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 10*f + 5. What is v(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + -2)\/((15\/22)\/15). Let o = 58 + q. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-892715)\/(-8265) + -93 - (-15)\/(-1).\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(168\/246) - (-1)\/(-4). Solve 6*z - 20 = d*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 1. What is the nearest to 3 in -3\/4, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 0*d**3 + 2*d**2 + 3*d**2 - 2*d**2 - 2*d**3. Let u(t) = -2*t**3 + 2*t**2. Determine 2*l(z) - 3*u(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 14 (c) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 4*o - 1. Let j = -7 - 9. Let c be (-2)\/(-9) - j\/9. Let k be i(c). Calculate the highest common factor of 12 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229045046*u**3 + 6*u**2 + 2*u - 4407599.\nAnswer: 1374270276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 14 - 30)*(0*i + i + 2*i) + (-2 + 1 + 2)*(i + i - i) - 5*i + 2*i + i to y + h*i and give h.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.0293 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 6 + (8 - -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 - 8?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s\/(s\/(s*(s*s**4\/s)\/s)))**(-29)\/(((s*s*(s\/s**0*s)\/s*s)\/s)**(4\/13)\/((s**(-3)*s*s)\/(s**(-1\/5)\/s*s))) assuming s is positive.\nAnswer: s**(-13419\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((-15)\/(-3) - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524062 is divided by 2104?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*d - h - 0*h, 4*h = -5*d + 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d*d**21\/d*d)\/d*d*d))\/(d\/d**(3\/4)*d)*d*d**8*d*d*(d**(-13)\/d)\/d assuming d is positive.\nAnswer: d**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1986*d**3*u**3 + 3*d**3*u**2 + 962*u**2 wrt u.\nAnswer: -11916*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 154*v - 7770. Is 7 a factor of a(55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1778 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iosoouso. Give prob of sequence oooo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 + 3*t + 1. What is q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156210\/(-1200))\/127 + (-2 - -1) + 2?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 19*i - 51. Let m = -3 + 5. Suppose u - 11 = m*s, 4*u + 3*s + i = u. Solve u*y = 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-574)\/41*(-1)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -486, -1949, -4386, -7797, -12182, -17541, -23874?\n\"Answer: -487*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16640 + -4087. What are the prime factors of z?\nAnswer: 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) - 16\/(-32)*-27. Let a(t) = -9*t - 3. Let i(j) = -19*j - 6. What is w*a(b) + 6*i(b)?\nAnswer: 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6534372044 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11235, -23121, -34989, -46839, -58671, -70485, -82281?\n\"Answer: 9*d**2 - 11913*d + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**2 + 269*c + 1597. What is q(-6)?\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000339392992 rounded to seven dps?\nAnswer: 0.0003394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 52 - -19) + 29?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 - -34211424?\nAnswer: 34212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/36*3\/10. Let n = 0.9 - 1. Let f = 11 + -15. Which is the nearest to n? (a) f (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 687, 1707, 3177, 5097, 7467?\nAnswer: 10287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153469 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(-4 + (sqrt(1377) + -1)**2).\nAnswer: -18*sqrt(17) + 1374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22 * -0.0909\nAnswer: -1.9998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 2}. Give prob of sequence pdd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 3, e: 4, y: 1}. What is prob of picking 2 k, 1 d, and 1 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) - 2\/7. Let h be (-1 - -3) + q\/(-1). Let s(f) = -f**2 + 7*f + 3. Let m be s(4). Solve h*t + 3*t = m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - h + 1. Suppose 19*n = 21*n + 44. Let x = -28 - n. Let s be (-4)\/(-28) + 1\/((-7)\/x). Determine l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 8*w - 7. Calculate x(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102672 minus -6263119.254?\nAnswer: 6365791.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 2*w - 2*w + 2*w**2 + 4*w**2 - 13 + w**3. Let p be o(-6). Put 0, p, -2 in increasing order.\nAnswer: -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**2 + 9 - 9)*(r + 1 - 1).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 69 + -32 + -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/499841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**5\/5 - 1759*x**4\/5 - 1757*x**3\/5 + 1759*x**2\/5 + 1758*x\/5 = 0.\nAnswer: -1758, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-1 - (3 + -1)). Suppose -5*b = -3*s - 19, 2*b + s - 19 = 6*s. Let q(i) = 5 + i**2 - 1 - b + 5*i - h*i. What is q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgbk when four letters picked without replacement from {k: 2, g: 1, w: 2, b: 1, l: 1, d: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25.2, 31, -1, 5065.\nAnswer: -1, 25.2, 31, 5065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2367754443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2150293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159950884, -319901769, -479852654?\nAnswer: -639803539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/23, -2\/59, 0 in descending order.\nAnswer: 0, -2\/59, -6\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n + 9. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -1184158, 5, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -6*o + 26*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101436 >= 101424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393526014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 357 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 183*o - 4729. Let i be u(149). Solve -52*n + i = 129 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.5, -1379, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0 = 20. Suppose -2*m = m + 9. Let h(a) = -3*a**2 - 3*a. Let v(j) = 6*j**2 + 5*j. Give f*h(s) + m*v(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3229.\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 7*a**2 + 5. Determine s(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*l + 103*l + 104*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -24. Let u = -87\/133 - -7\/19. What is the biggest value in u, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.4 (c) 1 (d) -16 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*o + 85, 5*o - 165 + 25 = -2*z. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2741 and 2741 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (7 + 0) - 12) + 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 - 15\/(-21). Suppose -j = -y + 5. Calculate the common denominator of 83\/10 and j\/(-18) + 731\/(-90).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*r**3 + 22\/9*r + 10\/9 - 26\/9*r**2.\nAnswer: -2*(r - 1)*(r + 5)*(3*r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8617746 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 6*x + x + (2 - 2 - x)*(0 - 2 + 4) + 0*x + x + 0*x + x + 0 + 0)*((35 + 86 - 21)*(-3 + 3 - x) + 2*x + 2*x - 2*x).\nAnswer: -490*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5630*s**4*t**2 - 3*s**3*t + 4320*s**2*t**2 + 2*s*t**2 wrt s?\nAnswer: -135120*s*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 19*z - 57. Calculate o(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2 + 734288*x - 27901500 = 0.\nAnswer: 38, 734250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -10868074 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/1364)\/((2\/4)\/(-1))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*k - m - 345, 9 = 3*m. Let w = -82 + k. Suppose -5*n = v - w - 7, -n + 46 = 2*v. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p - 5. Let t(l) be the third derivative of -1\/30*l**5 + 0*l**4 + 52*l**2 + 0*l + 0 + 0*l**3. Calculate b(t(h)).\nAnswer: 22*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g. Let m(a) = -7*a. Determine m(s(c)).\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*12\/10*-4*30. Let n be 492\/y - (-9)\/(-12). Determine m, given that 4*m**2 - n*m + 4\/9 = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 558*u + 52246. Give b(-119).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1833*i + 235. Let x(l) = 47*l + 6. Determine 6*r(n) - 235*x(n).\nAnswer: -47*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -62. Let j = -23 - x. Does 0 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -215*g + 217*g - 186. What is the remainder when g is divided by (-2)\/(-12) - (2 + (-930)\/36)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jecsbhe. Give prob of sequence ehb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i - 8. Suppose i*s - s = 42. Suppose 4*j + 3*o - 8*o - 22 = 0, 0 = -5*j - o + s. Solve -5*m - j = -3*u - 3, -5 = -5*m + 5*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 2. Let a be v(4). Let k be -3 - 0 - (-46)\/a. Let z = 9 + -4. Sort -0.5, k, z.\nAnswer: -0.5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/2163?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaa. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/7*i**2 + 480\/7 + 104\/7*i = 0 for i.\nAnswer: -4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 8*y**2 + 9*y - 74. Let x be w(5). Let s = -85 - -30. Let k = s - x. Calculate the remainder when k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 4*s + 42, -p + 3*s - 1542 = -1510 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8584 and 29933?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/99 or 40?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 39. Suppose 3*y + 3 = p. Suppose 15 = -u + y*u. Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(48) + sqrt(3072))*-2 + 2)*-2)**2.\nAnswer: -2880*sqrt(3) + 62308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47\/38 - -14\/19. Let p = -1.2 + 1.7. Let g = 2 + -1. What is the biggest value in c, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21323 + -4?\nAnswer: -21331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2130022 + 3?\nAnswer: -2130016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**4\/24 + 2*r**3\/3 + 2*r**2. Let g(y) = -9*y + 33. Calculate -4*g(i) + 33*t(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szjs when four letters picked without replacement from {j: 3, w: 3, s: 3, c: 4, z: 3}?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*c - 4*c - 3*c**2)*(1 + 3 - 6).\nAnswer: 6*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13189, 12949, 12547, 11983?\nAnswer: 11257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/16)\/(((-6)\/(-20))\/((-56)\/(-245)))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1213857, 1213875, 1213893, 1213911?\nAnswer: 1213929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27652095 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15471159 to the nearest integer?\nAnswer: 3933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*q + 11415996 = 317*q. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 980919091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Let n(k) = -k**3 + 20*k**2 - 19*k + 5. Let x be n(19). Suppose -d*c + 75 = 2*g - x*c, g + 4*c - 65 = 0. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295509 is divided by 17137?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 927846, 1855688, 2783530, 3711372, 4639214, 5567056?\n\"Answer: 927842*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*k = -l + 244, -3*k = 0. Suppose 65*s - 9180744 = l*s. Suppose -4*m - 344814 = s. What is m rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356746.\nAnswer: 2, 13, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82653487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, 5, -5, -9, -625 in descending order.\nAnswer: 16, 5, 2, -5, -9, -625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 (base 12) in base 14?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -242*c**3 - 3*c**2 - 7*c - 5. Is t(-1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91014 is divided by 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 33421 = 31*l. Let t = -520 - l. List the prime factors of t.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(-1\/8)*n**(3\/7)*n**(-7\/3) assuming n is positive.\nAnswer: n**(-661\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.451 - -8.451. Which is the smallest value? (a) -12 (b) x (c) 1\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b + 10. Let p(g) = g + 1. Let o(h) = 2*p(h) - t(h). Let q be o(-6). Suppose -8\/3*f**4 - 8\/3 + 40\/3*f**3 - q*f**2 + 40\/3*f = 0. What is f?\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/15 - (-1 - 1). Let a = 2 + -2. Solve a*u = -d*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7776504, 2 in ascending order.\nAnswer: -5, 2, 7776504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29309621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 11*c**2 - 18*c + 1. Let p be d(2). Let m(u) = 2*u**2 + u - 7. Let j(h) = 2*h**2 + 2*h - 6. What is p*j(w) + 6*m(w)?\nAnswer: -2*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 275*i + 628*i + 949*i - 130*i + 315*i in the form x*i + c + s*i**2 and give x.\nAnswer: 2037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 32 = -5*o. Let g(h) = -7*h - 16. Let j be g(8). What is the units digit of (o\/6 + -3)*j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195931423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 8*l**2 - l. Let b be m(-8). Calculate the greatest common factor of b and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 3, -12, -1\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 54\/135*1\/1*-5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 380 + -384. Is (4*1\/10)\/(y\/(-52090)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 9*z**2 + 16*z - 11. Let o(y) = 16*y + 39. Let s be o(-2). Let n be i(s). Solve -u = -0 + n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 0)*((-33)\/18 - -2). Which is the closest to o? (a) 4 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002282810036 rounded to seven decimal places?\nAnswer: -0.0002283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -28, 57, 220, 473, 828, 1297, 1892?\n\"Answer: 2*l**3 + 21*l**2 - 58*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 1 - 1)*(-h - 5 + 5) - 26*h**2 + 0*h**2 - 19*h**2 - 14 - 6*h**2 + 14 + (-2*h + 3*h + h)*(3*h - 2*h - 4*h).\nAnswer: -55*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 28 = -3*t - 97, -75 = 3*t + 4*q. Let y(i) = 4*i + 81. Determine y(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 128\/5 - 6*b**2 - 2\/5*b**3 - 96\/5*b = 0. What is b?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985705827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 2282 = -4516. What are the prime factors of c?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*k - 102, 2*f = -0*k - 3*k - 68. Which is the closest to f? (a) -30 (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*y + 8*y, -23 = -2*o + y. What is the lowest common multiple of o and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4*(-3)\/6. Let g = 0.12 - 0.21. Let s = 3.91 - g. Which is the second biggest value? (a) 0.5 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -5.32.\nAnswer: -5.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 552 and 414.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 436.591 nanometers?\nAnswer: 0.0000436591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17718.\nAnswer: 2, 3, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 5:06 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2. Suppose 0 = -5*j - 0 - 25. Let i(u) = u**3 + 4. Suppose -16 = 3*s - 3*k + 5, 3*k - 29 = 5*s. Let z be (-5)\/s - 6\/(-8). What is j*a(f) + z*i(f)?\nAnswer: 2*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40229085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 1 + 9 + 8*s - 7 - 4*s. Calculate the remainder when 13*(-2 - -3*1) is divided by z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*x - 3*i + 55, x = 4*i - 29 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/290 and -43\/2146.\nAnswer: 10730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39772369383 + 2*x**2 - 39772369383.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/935987 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtgrggggrvgvrpr. Give prob of picking 3 v.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1092341.3\nAnswer: -327702.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219 - 218. Let l(d) = -27*d**2 + 47*d + 16. Let s(z) = z**2 - z. Let w(a) = v*l(a) - s(a). Factor w(y).\nAnswer: -4*(y - 2)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(4\/1))\/(11\/(-242)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -651.77 less than -20865433?\nAnswer: -20864781.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -2271271?\nAnswer: -2271273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97525\/12 + -21511\/3. Let n = t - 935. What is the common denominator of n and 2\/42*105\/90?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 23. Let a be p(13). Suppose 2*k + 138 = -5*j + 749, -a*k = -4*j + 498. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 5, 0.1, -2\/7, -298097 in ascending order.\nAnswer: -298097, -4, -2\/7, 0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {l: 2, t: 13, h: 5}.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**3\/12 + 215*w**2\/8 + 211*w - 1376. Factor y(a).\nAnswer: (a + 4)*(a + 211)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 46 - 13 = 5*d, 4*p = 2*d + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 y when three letters picked without replacement from nnglgylnagn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4632762 to the power of 1\/2, to the nearest integer?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + 0*v**3 + 2*v**3 + (-1 - 1 + 3)*(57*v**3 - 36*v**3 + 10*v**3).\nAnswer: 33*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -d + j + 20, 3*d + 4*j = -15. Let m be ((-1)\/(-9))\/((-111)\/(-18)). Is d less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-28)*1*(-24)\/(-40).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18131 - -18208.13. Let q = 77 - a. What is the biggest value in -4, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (6 - 3 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*p + 42, 0 = 5*r - 0*p + 2*p - 118. Suppose -5*c = -3*x + 12, -4*x + 17*c - 18*c - 7 = 0. Put r, x, -4 in descending order.\nAnswer: r, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3583253553 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 0*c + 928 - 28*c**3 - 928.\nAnswer: -28*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*(-1*sqrt(14))\/sqrt(7) - ((sqrt(80)\/(sqrt(20)\/sqrt(4)) - sqrt(16)) + sqrt(16))\/sqrt(8)).\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 1 + (-1042)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -8 + 2 - (-8)\/(-110)*80?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, -2, 74, -0.3, -508?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*i, 2*b - 4*i - 4 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h. Let j(d) = 2*d - d - 2*d. Let t be ((-1)\/(13\/39))\/(2\/12). Let v(u) = -u**3 - 20*u**2 - 35*u + 33. Let g be v(t). What is g*j(a) - 6*z(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0 (c) -2\/7 (d) 1.54 (e) -1\/334 (f) 4 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 33 = 3*i, 0 = 3*z - 3*i + 433 - 361 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22982 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u**2 + u - 4. Suppose -n - i = -4*i - 8, 3*i + 13 = 2*n. Suppose 5*y + 13 = x - 0*x, -n*y - 15 = 0. Let q be 0*x\/12*-3. Determine g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/252 and 143\/24444.\nAnswer: 24444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.1 (b) 7 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 3, -6, -15, -24?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -19, -13, -3, 11, 29, 51?\n\"Answer: 2*y**2 - 4*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*f + 3*j, -5*f + 3*j - 2 + 13 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**5*l + 3*a**5 - 42*a**3*l - 1114*a*l wrt a.\nAnswer: -60*a**3*l + 60*a**3 - 252*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/37156 and -125\/12.\nAnswer: 111468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(6*g - 152*g - 22*g).\nAnswer: -168*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -3\/626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14917.5 and 1010.43.\nAnswer: -13907.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*f - 4*z, -5*f = -2*f - 3*z - 30. What is the third derivative of -f*a**5 - a**2 + 4*a**5 - a + a wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 139.2. What is v rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + -15 + 4)*-1. Calculate the highest common factor of 135 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -24, 0, -54, -10 in decreasing order.\nAnswer: 2, 0, -10, -24, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157037*h**3 - 78989*h**3 - 78052*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + v = 4*i + 40, -2*v - 28 = -2*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 0*m + 0*m)*(0*m + 0*m - m) + (m + 3*m - 5*m)*(6*m**3 - 3*m**3 - m**3) - m**4 + 0*m + 0*m.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Let d(g) = 3*g + 3. Let q be d(y). Suppose 5*k - 2*u - q = 52, 0 = 3*k + u - 42. Calculate the lowest common multiple of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4 - 3 = -2*s, -2*u = 4*s - 2. Let a(k) = s - k**2 - 4*k + k + k + 4. Let r be a(0). Solve -3 = v - r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15585 divided by -5.\nAnswer: 3117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 5 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -70. Suppose 1 = -2*c + 23. Let m = c + g. Solve -3*x = -4*k + x - 8, -x - m = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 + 3*p**2 - 337 + 0*p**2 + 173 - 8*p**2.\nAnswer: -5*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237.2239873 - -237.4368. Let l = f + -0.2127. Round l to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25 - 9.45. What is v rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -47 + (47 - 22)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**3 - 5*n + 2. Let o(d) be the third derivative of -13*d**6\/120 - 7*d**4\/12 + 7*d**3\/6 + 2*d**2 - 30. Give -7*f(u) + 2*o(u).\nAnswer: 2*u**3 + 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 13*b + 27. Let f be u(11). Suppose -4*v + 86 = -f*m + 481, -4*m + 4*v = -320. Let z = -30 + m. What is the remainder when 178 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d + 2. Let q(z) = -2*z + 1 + 19*z + 4*z + 5*z**2. Let t(w) be the third derivative of -w**5\/60 - w**4\/6 + w**2. Calculate d*q(k) - 11*t(k).\nAnswer: k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -54055?\nAnswer: 1\/54055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/6)\/(-6)*10\/85?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -62, -144, -268, -440, -666, -952, -1304?\n\"Answer: -b**3 - 12*b**2 - 3*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d**4 + 321*d**3 - 1611*d**2 - 1221*d + 726 = 0. What is d?\nAnswer: -1, 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 171\/(-12))*(-4)\/1. Let l = -48 + f. Let b(t) = -4*t**2 + 2*t. Let d(s) = -5*s**2 + 3*s. What is l*b(u) + 2*d(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 97, 195, 343, 547, 813?\n\"Answer: y**3 + 16*y**2 - y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16365 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - i - 3*i)*(17*i**3 - 2*i - 3*i**3 + 0*i).\nAnswer: 14*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**6*z + 5*a**5*z**3 - 2*a**2*z**3 - 2*a**2*z - 35*a*z wrt a.\nAnswer: 600*a**3*z + 300*a**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10122101010 (base 3) in base 8?\nAnswer: -214043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 16, -76 - 20 = -4*d - 4*t. Let x = d + -6. Suppose x*i - 22 = 12*i. What is the least common multiple of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = a, 0*a - 4*b + 2 = -a. Let c(i) = i**3 + i - 1. Let z be c(a). Suppose 2*m = z + 17. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5220717 is divided by 180.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 345\/(-7935)*(-3 + 1).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10183253*k**5 - 2*k**3 + 5297*k**2 - 1605*k.\nAnswer: -610995180*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*w - 21. Suppose w + 7 = 2*x. Which is smaller: x or 8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 120, -2, -5, 83 in descending order.\nAnswer: 120, 83, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 - 9*i - 11. Suppose j - 3 = -11. Let c be t(j). Let k be (-2)\/(-6) + (-9)\/c. What is the nearest to k in -0.5, 3\/7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 661*w + 163. Calculate r(-165).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23 + -3 + -1 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, k: 9}. Give prob of picking 1 h and 2 k.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-48)\/6 + 3 + 65?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/3))**(-19)*s**(5\/3)\/((s*s\/(s*s\/(s**(-2\/7)*s)))\/s) assuming s is positive.\nAnswer: s**(-75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1112102101110?\nAnswer: 1112102101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/7)\/x)**(2\/39) assuming x is positive.\nAnswer: x**(-2\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1859\/39 + 15 - 2\/3. Which is greater: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(765\/(-40)))\/(16\/108).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 3*d**2 + d - 2 - 4*d**2. Let t be l(0). What is the tens digit of (-960)\/(-54) + t\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/2 + 26*f**2 - 667*f\/2 = 0. Calculate f.\nAnswer: 0, 23, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036621 is divided by 111.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -147673, -295377, -443081, -590785?\n\"Answer: -147704*c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*1*(-252)\/(-126)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 34, 51, 64, 73, 78, 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/387 and -7\/255?\nAnswer: 32895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = v - 2*f + 6*f, -3*v = -f + 2. Let r(p) = -p + 7. Let q be r(v). Suppose -2*c = 4*j + 10, -2*c + j - 2 + q = 0. Solve z + 3 = c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 4434525.\nAnswer: -4434524.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/8*(-24)\/(-15). Solve s + 11 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - (74 + -112)) + 3 + -1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(405) - (sqrt(405) - (sqrt(405) - (-1 + sqrt(405))*2)))*-5 + 3 - (2 + -1*(sqrt(405) + -1 + 2)))**2.\nAnswer: -864*sqrt(5) + 14642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17013487 divided by -6?\nAnswer: -17013487\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 12. Suppose 3*v + 0*v = 21. Let o be k(v). Suppose 0 = 4*z - 3 - 5. What is the third biggest value in o, 0, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4\/(-4)*34. Is 13 a factor of (b\/(-10) + -3)*40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 713675*n + 1 - 727466*n - 1 in the form j*n + h and give j.\nAnswer: -13791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/10253166 or 0?\nAnswer: -5\/10253166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 6026 + w**2 + 3009 + 3014 - w + 18*w**2. Determine n(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**3 + 3*w**2. Let a(b) = -6*b**3 + 3*b**2. Let t(s) = -3*a(s) + 4*v(s). What is the third derivative of t(h) wrt h?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8100228 by -2025057.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -145485 divided by -2745\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 3*m - 5*l - 92, 2*m + 5 = -3*l. Solve m*h + 21 = -4*p, 2*p + 21 = -4*h + 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252498 (base 14) to base 10.\nAnswer: 1274134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-10)*12\/(-154)*3332\/(-238)?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.42304 to zero decimal places.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 4*l**4 + 2*l**4 + (-2*l**4 - 216*l**2 + 216*l**2)*(-4 + 3 + 0).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9983.\nAnswer: 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431486 (base 9) in base 15?\nAnswer: 321019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14649578*y**4 + y**3 + 28211773*y**2 wrt y.\nAnswer: 351589872*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 102?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 - -3. Let x = 1\/9 - -1499\/36. Let k = x + -42. Which is the closest to 1? (a) -1\/5 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 91, 143, 195, 247?\n\"Answer: 52*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -74 - -170718?\nAnswer: 170684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 847*b - 844*b + 3*m - 57, -2*b + 2*m = 30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 19. Let n be (9 - (r - 3)) + 3. Solve z = -4*z + n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0, -0.75, 4\/5, 2 in decreasing order.\nAnswer: 2, 4\/5, 2\/9, 0, -0.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15770 + -12?\nAnswer: 15756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 310309\/14365 - 5\/2873. Find f, given that 11664\/5 - 1944\/5*f + x*f**2 - 2\/5*f**3 = 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*10\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5153 is divided by 1583.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*l = -12, 5*r - l + 1 = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2263*k - 66880 + 66879 - 9182*k to i + p*k and give p.\nAnswer: -6919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-580)\/29)\/1440.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 4 + (47 - -2) + (-14 - 1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwy when three letters picked without replacement from {w: 2, j: 1, y: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 340*t**5 - 5*t**3 + 5*t**2 + 151*t + 7. Let q(f) = 2*f**5 + f**3 - f**2 - f - 1. Let b(l) = 5*q(l) + z(l). Find the second derivative of b(v) wrt v.\nAnswer: 7000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1051551?\nAnswer: -1051550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort 240, -66, 5, 4 in decreasing order.\nAnswer: 240, 5, 4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 8, 994991?\nAnswer: 994991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/21, -15\/34, 2\/13, 14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -166, -158, -138, -100, -38, 54, 182?\n\"Answer: l**3 + l - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 727900262?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q + x = -47*q + 83187, -4*x = -3*q + 83202. What are the prime factors of q?\nAnswer: 2, 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156281 - 875351 = 2988*v + 3549*v for v.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 86997*y**2\/4 + 260928*y - 2348595.\nAnswer: (y - 6)*(y + 18)*(y + 86985)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -210420 (base 5) in base 13?\nAnswer: -3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24481643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112221 (base 4) in base 15?\nAnswer: -543d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 40 = 4*g, 0*c - 2*c + 2*g = -40. Let k(q) = -q**3 + 7*q**2 + q - 3. What is the smallest common multiple of k(7) and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -11. Let c = 54.000011 - y. Round c to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -82*i**3 - 4*i + 30. Let y(t) = -t**3 + t. Let z(x) = m(x) + 6*y(x). Differentiate z(o) wrt o.\nAnswer: -264*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81007*s - 40503*s - 40493*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let t = d - 8. Is ((-178)\/t)\/((-3)\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 + -611?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580 divided by -10.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*s = 735, 9*s = -w + 14*s + 125. Calculate the lowest common multiple of 135 and w.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100049, -400240, -900575, -1601054?\nAnswer: -2501677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n. Let a(l) be the second derivative of 4*l + 0*l**2 - 5 + 1\/2*l**3. Calculate a(f(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000774598 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -28*u**3 - 120*u**2 + 20*u - 52. Let a(w) = w**3 - w - 4. Let b(o) = -3*a(o) - c(o). Let l be b(-43). What is l rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106808524 is divided by 53.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d**5 - 12860*d**4 + 3495012*d**3 - 8631592*d**2 - 7002896*d + 20777568 = 0. Calculate d.\nAnswer: -3\/2, 2, 343, 1262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/(3 - (-21)\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24))\/sqrt(12) + (sqrt(288))**2.\nAnswer: -2*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*k - 18, -3*k + 17*y - 15*y = 11 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 22513?\nAnswer: 2250c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357558105?\nAnswer: 3, 5, 23837207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*s = 1747, -1745 = -n + 9*s - 4*s. Let y(r) = 1750 + 2*r - n. Let c(k) = k**3 + 23*k. Calculate 2*c(u) - 22*y(u).\nAnswer: 2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -97*t**6\/20 - t**5\/30 + 13*t**4\/12 + 453*t**2. Find the third derivative of x(o) wrt o.\nAnswer: -3492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/20*70\/28)\/(12\/(-1320))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/6)\/r)*r*r)\/r*r*r*r\/(r**(-34)\/r)*r)**(-10) assuming r is positive.\nAnswer: r**(-1255\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2596 - -1193. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 673.3569m?\nAnswer: 67335.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**5\/300 + r**4\/20 + 3*r**3\/10 + 6*r**2. Determine m, given that b(m) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 53448?\nAnswer: -53445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.296 times -0.17243\nAnswer: -0.05103928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 350044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 505\/20098 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 261.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436724 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 3*m - 2\/3*m**3 + 0 + 4*m**2. Let k = -2656 - -2662. What is p(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 441*i**3 - 2*i**2 + 7*i - 4. Let q(n) = 1323*n**3 - 5*n**2 + 20*n - 14. Let o(z) = 2*q(z) - 7*s(z). What is the third derivative of o(f) wrt f?\nAnswer: -2646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + d = -4*x + 6, -d = 4*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 114\/(-14)*(-2284)\/(-32). Let b = p + 4134\/7. Find the common denominator of b and -35\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:17 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7656*w + 35. Let n(l) = -5853013*l - 26761. What is -7646*b(y) - 10*n(y)?\nAnswer: -7646*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 9 + 8 + 34*c**3 + 84*c**3 + 6*c**3.\nAnswer: 125*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234196*w - 234026*w + 468222*w + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 513\/5 + -103. Let t be 3 - 30\/(-16)*-2. Is f less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 9*m - 3 = 0, 5*h + 4*m - 62 = 0. What is the highest common divisor of h and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u - 6. Let h be w(6). Let n(q) = -q**2 + 8*q - 9. Let c be n(h). Suppose 3*l - 98 = -4*x, -c*x = -2*x - l - 28. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v**3 + 121 - 61 - 62 - v**2 to f*v + o*v**3 + z + b*v**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -814a07 - 21?\nAnswer: -814a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 113 + 19 = 0. Suppose 2*s - 3*i - 7 + 0 = 0, s + 4 = 3*i. Suppose 0 = -s*t + 14*t - f. Solve -3*n - 2*b - 7 = 0, -9 - t = 4*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 35032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 710, -37, 86 in descending order.\nAnswer: 710, 86, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 4. Suppose 0 = -3*k - 3*v, 24 = 4*k - 4*v - 0*v. Determine n(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 11*c**2 + 17*c - 3. Let u be y(-9). Suppose o = u*o + 45. Let k(s) = s**2 + 11*s - 1. What is k(o)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1100) + (sqrt(1100) + -1)**2)*6 + -2 + ((sqrt(275)*1 - sqrt(275)) + sqrt(275) + 2)**2.\nAnswer: -40*sqrt(11) + 6913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 90*u**3 - 166*u**2 + 92*u - 16 = 0. Calculate u.\nAnswer: 2\/5, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 17*p = 0. List the prime factors of 66 - p - (-1 - 2).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -226d9 - -caa?\nAnswer: -2192e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -26, -46, -70?\n\"Answer: -2*d**2 - 10*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18810 is divided by 128.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 25*u + 142. Let s(y) = 6*y + 35. Let l be (14\/21)\/((-112)\/(-54) - 2). Let v(t) = l*s(t) - 2*k(t). What is the hundreds digit of v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 2*g**2 + 3*g + 3. Let j be l(-2). Let k = j - -8. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*s - 12 = 81*s. Let j = 0.2 - 0. Which is the closest to s? (a) -1 (b) 0.3 (c) j (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 319*l - 1221. Let b(p) = -2*p. Give b(n(y)).\nAnswer: -638*y + 2442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 19. Let n be ((-72)\/s)\/(9\/(-6)). Let m be 1\/4 - (-63)\/n. What is the third smallest value in 0.2, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**8\/84 - 8*f**7\/105 - f**6\/30 + 4*f**5\/15 - 182*f**2. Suppose o(l) = 0. What is l?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1613\nAnswer: 4\/1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.2, -0.4, 1\/2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30709439 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(2\/13))\/t*t)\/(t\/((t\/((t\/(t*t**(2\/69)))\/t))\/t)))\/(t\/(t**(1\/6)\/t)*t**(-23)\/t) assuming t is positive.\nAnswer: t**(13779\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -0.09, -0.2, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6426174 and 12252.\nAnswer: 12852348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/9298 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460 and 168140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*l - 156*l. Solve -12*j + l*j + 84 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000065112 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 29*g**2 - 5*g + 1. Let q(w) = -57*w**2 + 9*w - 2. What is -11*p(l) - 6*q(l)?\nAnswer: 23*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.12, 24.1, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28544707 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 7*q**2 - 2*q - 9. Let u be i(-7). Suppose 37 = t + 5*y, -u*t + y = -y - 104. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m**5 + 0*m**3 + 10*m**2 - 5\/24*m**4 + 0*m**7 + 1\/12*m**6 - 5\/336*m**8 + 0 + 0*m. Suppose u(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305487860.\nAnswer: 2, 5, 15274393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13079279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 9. Let o be u(11). What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20454 (base 6) to base 13.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139 + 144. Let f(r) be the first derivative of -2*r + 1\/2*r**2 - c. What is f(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2599, 2704, 2969, 3472, 4291, 5504, 7189, 9424?\n\"Answer: 13*p**3 + 2*p**2 + 8*p + 2576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5885*b**2 + 11761*b**2 - 5885*b**2. Let w(o) = -213*o. Calculate c(w(r)).\nAnswer: -408321*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6155158.\nAnswer: 2, 3077579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 1, i: 2, a: 3, l: 1, k: 4}. Give prob of picking 2 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -24024ab?\nAnswer: -24024a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*w - 6 = 32, -5*w = -2*h - 40. Let k = 53 + h. Calculate the greatest common divisor of k and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4541*z**5 + 2*z**4 + 8*z**2 + 509*z - 109?\nAnswer: 90820*z**3 + 24*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/6 + 6 + -3)*442146\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 168369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7 - 2*k**3 - 7*k - 5*k**2 + 3 + 5*k**2. Let j(r) = -r**3 - 2*r - 1. Let l(i) = -7*j(i) + 2*p(i). Find the first derivative of l(s) wrt s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1395 + 1360. Let a(b) = 2*b**2 + 72*b + 75. Let i be a(q). Let h(r) = -r**3 - r**2 + 2*r. Let o be h(-2). Solve 3*t - 4 - i = o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22913 (base 10) in base 7?\nAnswer: 123542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20612768.\nAnswer: 2, 11, 31, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11127 is divided by 5372?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149*l - 9 + 89*l + 38 - 29)*(-2 + 5 - 2).\nAnswer: 238*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 706759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 3*l**3 + (426*l - 230*l - 234*l)*(-13*l**2 + 4*l**2 + 21*l**2).\nAnswer: -453*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 8.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-1 + 20\/8). Let t = 660 + -643. Let i(m) = -3*m - 1. Let h be i(-1). Solve -4 = 4*n, -3*n = -j*s - h + t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/(84\/40))\/(6\/6). Solve -9*x = -f*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 100*q**3 + 3*q**2 + 4*q + 1. Let k be b(-3). Let u = k + 1084. Round u to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 42 - 1\/3*z**3 + 1\/60*z**5 + 15\/2*z**2 + 0*z + 1\/6*z**4. Let t(o) be the second derivative of l(o). Give t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4030321 to the nearest integer?\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*l - 1242, 726 = 2*l + l + 3*f. Let w = -204 + l. Calculate the lowest common multiple of w and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 32 = 3*o + o, 2*u = -5*o + 38. Let g = o - 6. Solve 2*a - m - 8 = g, 0*a - 2*a = 3*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 24*p. Let k(b) = -154740*b. Calculate k(o(h)).\nAnswer: -3713760*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30, -0.4, -178\/11, -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 810 and -5.\nAnswer: -4050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66\/7*a - 2\/7*a**2 + 0.\nAnswer: -2*a*(a + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*m = -193, 2*w + m - 186 = -62. Suppose 0 = -7*z + 2*z + 70. Let t = w - z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03311 - -31828611970.\nAnswer: 31828611969.96689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 35 = 5*r, -3*r = -6*r + i + 13. Let z(n) = -6*n - 6. Let l(d) = -7 - 2 + 2 - 7*d. Suppose -13 = 4*t + 11. Give r*l(w) + t*z(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 4, 11, -265, 0, 5 in decreasing order.\nAnswer: 70, 11, 5, 4, 0, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/35*21\/(-6). Solve 0 = x*h - 4*o - 22, -3*h + 2*o = -h - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -244.3, 2\/13, -37\/4, -8?\nAnswer: -244.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 155 - 19*m**2 + 22 + 10*m**2 - 22 + (-5 + 5 + 2*m**2)*(-1 + 0 + 2))*(2*m + 0*m + 0*m).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -35*u**4\/24 + 15*u**3 - 9*u + 23. Factor f(c).\nAnswer: -5*c*(7*c - 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -5)\/(23\/138*6). Sort -2, 35, 5, k, 4 in descending order.\nAnswer: 35, 5, 4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -147405?\nAnswer: 147409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -391159, -782373, -1173587, -1564801?\n\"Answer: -391214*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 3:49 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/240 + 7*f**4\/24 - 6*f**2. Let d(p) be the second derivative of o(p). Let b(v) = -6*v. What is d(b(s))?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + l**2 - 2*l. Let w be ((-32)\/6)\/1*(-12567)\/118. Let p(a) = a - w + 568. Calculate -f(i) - p(i).\nAnswer: -3*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2982 is divided by 239?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 5\/(-2))*-2. Suppose d = -2*d + s. What is the highest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-35) + 5 + 14\/35)\/((-18)\/54).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 - 2*q**2 - 8*q**3 + 3*q**3 - 6 + 3*q**3 in the form v*q + l*q**3 + o*q**2 + y and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 1375*n**3\/3 - 467*n - 1162. What is the first derivative of i(z) wrt z?\nAnswer: 2750*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4947852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 2. Let n be v(2). Let q(x) = 8*x**2 - n*x**2 + 12*x + 1 + 2. What is the remainder when 138 is divided by q(-8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d + d)*(-d**2 + d**2 + d**2)*(0*d + 2*d + 3*d) - 13*d**2 - 23*d**4 + 13*d**2.\nAnswer: -13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6267 (base 9) to base 7.\nAnswer: 16255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -264 + 768. Let x = t + 33. Find the common denominator of -127\/6 and -2 + (2 - x\/(-24)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -282*v - 35. Let f(y) = -95*y - 11. Let i(x) = -4*b(x) + 13*f(x). Let p(z) = z. Give i(p(c)).\nAnswer: -107*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**9\/1008 + j**5\/120 - 11*j**4\/12 - 6*j. Let n(s) be the third derivative of t(s). Find the first derivative of n(w) wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000821 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*t - 18 - 26 = 0, -k - 2*t = -2. Solve k - 14 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(((-836)\/32)\/11 - (-4)\/32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 - -3.6. Which is the nearest to 3? (a) -1 (b) 2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:35 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 37*q - 2 + 12 as c + h*q and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*u - 49, t + u = 6*t - 375. Suppose -4*z - 4*p + 120 = 0, 2*z - t = -z + 5*p. What is the remainder when 79 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 17*h**4 + 0*h**4 - 13*h**4 - 2 - 2*h**2 in the form m*h + z*h**2 + j*h**4 + u*h**3 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -155185, -155142, -155099, -155056, -155013, -154970?\n\"Answer: 43*v - 155228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1832 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -278*p**2. Let t(h) = h. Determine o(t(q)).\nAnswer: -278*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-6\/29))\/w)\/w**(18\/11))**(-25) assuming w is positive.\nAnswer: w**(14700\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2404.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2385 divide 406122570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 4, f: 1, a: 4, d: 2, v: 1}. Give prob of picking 1 d and 1 x.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8519.512616 to zero decimal places.\nAnswer: -8520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5*r**3 - 3*r**4 - 7*r**2 + 3 + r**3 + 5*r**2 - 5*r**3 in the form y*r**3 + p*r**2 + b*r + o*r**4 + a and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*d - 48, -4*b + d + 34 = -3*b. What is the remainder when b is divided by ((-2)\/4)\/(1\/(-30))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0104414155 rounded to six decimal places?\nAnswer: 0.010441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3 + 34*u**2 - 126*u - 162 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5767547\/140 + 41197. Is 0 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.107*0.3\nAnswer: -0.0321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 975, 972, 951, 900, 807, 660, 447, 156?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*z**3 - 67*z**3 + 65*z**3 - 141*z**3 - 16*z**3.\nAnswer: -227*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + -14151304?\nAnswer: -14151255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 9*t - 4. Let w be y(3). Put 4, -2, -10, w in increasing order.\nAnswer: -10, w, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + 59187\/(-9))\/(1\/159*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/6 + 55*p\/6.\nAnswer: -5*p*(p - 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25*t**2 - 2*t. Let o(r) be the third derivative of -13*r**5\/60 + 3046*r**2 + r. What is k(o(l))?\nAnswer: -4225*l**4 + 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 363, -2, -4 in ascending order.\nAnswer: -4, -2, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32 and 69662977064.\nAnswer: 69662977096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*m + m**5 + 0*m**5 + 0*m + 5*m**5 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/314500 and -87\/578.\nAnswer: 5346500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*l**3 - 10*l**3 - 18*l**3)*(-59125 - 735*l + 59125) to the form s*l + q*l**3 + n + i*l**4 + d*l**2 and give i.\nAnswer: 13965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxducid. What is prob of sequence ixyc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 + -110111000011111110?\nAnswer: -110111000011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/2 + -1)*(-8)\/(-12). Is 2\/19 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjujjjjjujjjj. What is prob of sequence jj?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f. Let j(y) = -66*y**2. Calculate j(n(h)).\nAnswer: -594*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/144 and 53\/64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2702395 (b) 5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -513906.408 and 3.\nAnswer: -513903.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -14*i + 85 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235555.2 - 6.\nAnswer: 235549.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 3.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/6 - 35*l**4\/3 - 163*l**3 + 2354*l**2\/3 - 6197*l\/6 + 423 = 0 for l.\nAnswer: -47, -27, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/2 - (-2)\/(-4). Suppose -k = -p - f, 0*k - 5*p = -2*k + 14. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -1\/2*g**2 + 1\/2*g**3 + 4*g + 2 - 301\/12*g**4. What is the second derivative of x(j) wrt j?\nAnswer: -602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(0 + 2) + 2. Let c be (0\/((-2)\/2))\/1. Suppose c*i = -k*i. Solve -w + 0*w - 5 = i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9393 - 9390. Let j be (-3)\/(((-8)\/(-14))\/(-4)). Which is the third smallest value? (a) j (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218960 by -1190.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6484174 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/4 - (-2)\/4. Let n be g\/((-5)\/(-2)) - 7. Let l be ((-2)\/n)\/((-6)\/(-5)). What is the third biggest value in l, 1\/6, 2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -4, 7, 683.45?\nAnswer: 683.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195577682309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i - 3*i)*(i - 4*i + 2*i) - 2*i**2 - 3*i**2 - 16*i**2.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9238837, 9238836, 9238835, 9238834, 9238833?\nAnswer: 9238832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -3*b + 24. Let s = -9 - b. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*l + 112 + 62, 5*l - 321 = -2*h. Suppose 0 = -6*u + 2*u + h. Suppose u*g - 43*g = -53. Is 32 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-14 - -24) + (-11 - -2 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 2*q + 7.\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -209, -1936, -6617, -15728, -30745, -53144, -84401, -125992?\n\"Answer: -246*x**3 - x**2 - 2*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 15*r - 35*r + 15*r - r**2 - 2. Give x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(11)*-1)*2)**2 - (3 + (sqrt(13) - (sqrt(13)*-1)**2))*3.\nAnswer: -3*sqrt(13) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(3\/7)\/g**(-12))**(2\/49))**(-41))**(-16) assuming g is positive.\nAnswer: g**(114144\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/4 + 185222\/148 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**5*f*t + 48*b**4*f*t + b**2*t + 21*b**2 + 5*f*t wrt b.\nAnswer: 300*b**2*f*t + 1152*b*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 5*r**2 - 8*r + 44. Let q be m(5). What is the hundreds digit of 2684\/6 - q\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 - 1*(5 - 3). Suppose 2*v = i - 2. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5493 minus 1.393?\nAnswer: -5494.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(84)\/(sqrt(12)*1) - (sqrt(112)*2 - sqrt(112)))**2 + ((sqrt(77) + (5*sqrt(77)*2 - sqrt(77)))\/sqrt(11))**2.\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1507*b**5 + 25070*b**2 + 47*b**5 - 24054*b**2 wrt b?\nAnswer: -87600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 200337081 = -5*i. Suppose 3*t + i = 4379027. What is t rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Let j be (-56)\/(-12) + (-2)\/r. Suppose 4*w + w - j*h - 421 = 0, 4*w - 312 = -3*h. Calculate the remainder when w is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -163.\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/5 (b) 12\/7 (c) -0.01 (d) 3394\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2679 is divided by 851.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 33 = -g. Let w = -2 + g. Suppose 49*n - 23 = 1 + 25. What is the greatest common divisor of n and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -9. What is the tens digit of (160\/15)\/(1\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*n + 59*n - 56. Let v(m) = -m + 3. Let i(z) be the first derivative of -z + 1. Let s(x) = n*v(x) + 6*i(x). Let a(g) = -10*g. Give s(a(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5.769, -5 in ascending order.\nAnswer: -5.769, -5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.376 + 0.376. Sort 62, 5, b, -0.5 in decreasing order.\nAnswer: 62, 5, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -70*c + 40*c - 3*c**2 + 30*c - 2*c**2. Let x(s) = -3*s - 8. Determine x(m(t)).\nAnswer: 15*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 273.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 59, 115, 171?\n\"Answer: 56*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 127*v - 2168. What is the remainder when r(19) is divided by 241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23042\/11 <= 2095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m = -5. Let h be (-28)\/(-35)*m\/(-2). What is the first derivative of 5*k**h - 8*k**4 - 4 + 5 - 5*k**2 wrt k?\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008787101 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(90)*-1))**2 + (sqrt(50)*-1 - sqrt(50))**2 + 4.\nAnswer: 1838\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/15*6\/4. Let y be 10\/4*(-6)\/10. What is the nearest to g in y, -0.4, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*n + 0 + 4 = 0, 4*d - 2*n - 12 = 0. Suppose -d*s = 1 - 37. Suppose -5*p - 531*f - 1 = -530*f, 4 = -p - 4*f. Solve -5*l + 34 - s = p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-3)\/(9\/6) - -3002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w**2 - 605*w - 132. Let p be i(-67). Sort -4, -1, p, -35 in descending order.\nAnswer: p, -1, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -38, 2, 68, 166, 302, 482?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - (sqrt(130) + 1*sqrt(130))))\/sqrt(10)*-6 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 3*y + 48*y - 22*y = -2401 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 613892?\nAnswer: 3069460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/323, 3\/5, -3 in decreasing order.\nAnswer: 3\/5, -1\/323, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 9 = 19. Suppose -5*m - 1451 - 200 = -b*y, 0 = 4*y - m - 3347. Suppose 0 = 2*x - 5*n - 449, 4*x - y = 2*n - 4*n. Does 53 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46490000 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1913140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2)\/i)*i\/(i\/(i**(-2\/7)*i)*i)*i)**8\/((i\/(i\/(i\/i**1)*i*i))**(2\/103)\/(i**(1\/3))**(2\/33)) assuming i is positive.\nAnswer: i**(2696222\/71379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*d - 6*d + c, -2*d - 3*c = 33. Let x(q) = q + 20. Calculate x(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 514.\nAnswer: 1\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/75*24\/32. Which is bigger: -0.04 or y?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*2\/14 + (-37)\/(-7). Suppose -f*p + 20 = 0, -3*p - 2*p = 3*x - 32. Solve -x = -2*k, -4 = 3*b + 2*b + 3*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 45. Let t(z) = 2*z**2 + 18*z - 3. List the prime factors of t(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554456490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.434 + -0.93. What is p rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -15*d**3 + 2*d**2 + d. Let c be m(-1). Let t(l) = -l**2 + 2*l - 2. Let r be t(4). Let b = c + r. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-900)*57\/19. Let m(i) be the third derivative of -l*i**5 - 1\/24*i**4 + 0*i**3 + 0 - 13*i**2 + 0*i. Calculate m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8300 (b) -182 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(2\/5)*(r*r**(-9))\/r)**(-1\/8)\/(r\/(r*r**(-2)*r)*r**(-9))**(-1\/86) assuming r is positive.\nAnswer: r**(1259\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2015097, -8060378, -18135845, -32241498, -50377337, -72543362?\n\"Answer: -2015093*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 2:28 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45.8 and -4.\nAnswer: -183.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 3807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f*p**3 + 212*f*p**2 - 2*f + p - 32373 wrt p.\nAnswer: -9*f*p**2 + 424*f*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7715\/4 + 1929. Let t = -7.5 + 2.42. Let o = t - -0.08. What is the third biggest value in r, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*1*(sqrt(15)\/(sqrt(30)\/(sqrt(10)*-4)) + -5))**2.\nAnswer: 1280*sqrt(5) + 3360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgm when three letters picked without replacement from igmomogoooooo?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -45 - ((0 - 1) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 871970059 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96671 is divided by 1859.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-54) - 447\/(-6). Suppose 73*o = i*o. Solve 0 = -o*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -302404 + 2?\nAnswer: -302402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.4266069?\nAnswer: 0.4266069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (4 - 5))*((-296)\/(-22))\/(-37).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 325 - 324.7. Let a = 1 - 0.5. What is the nearest to w in -1, -3\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 27*a - 11. Let t(d) = -29*d + 9. Calculate -2*t(p) - 3*z(p).\nAnswer: -23*p + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4280 and 612254?\nAnswer: 12245080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*a + a - 5*d, -25 = -3*a + 2*d. Let b = -2 - -1. Put -2, b, a in decreasing order.\nAnswer: a, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86.67 - 87. Let k = p + 1.23. Let h = k - -0.1. Which is the smallest value? (a) 2\/5 (b) h (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10075, 10310, 10953, 12208, 14279, 17370, 21685?\nAnswer: 27428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 160, -25, 5, 17, -7?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.81 and -0.29.\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + z - 1)*(485 - 858 + 489) in the form o + f*z and give f.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481846 is divided by 521?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.0488, -1\/3 in increasing order.\nAnswer: -1\/3, -0.0488, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-664)\/(-20))\/(((-24)\/710)\/(-6)). Suppose s - 3*g - d = 0, -s - 4*g = -2*g - 5903. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 20 - 9 = -2*m + 2, 33*m + 42*r + 161 = 34*m - 7*r for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Let z = 56.3 - 56. Put 5, z, m in decreasing order.\nAnswer: 5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24546801 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3199 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 3, n: 1, z: 1}. What is prob of picking 1 t and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + 8 + (-44 - (-12 - -1)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27385 = 4*x - y, 0 = -4*x + 4*y + 11787 + 15589. What are the prime factors of x?\nAnswer: 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5160\/7 - -737. What is the third smallest value in -2074, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.8770486 to three decimal places.\nAnswer: -3.877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2572358 or 2572357?\nAnswer: 2572358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 7 + 5*o - 5*o)*(-3*o**2 + 2*o**2 - o**2).\nAnswer: 2*o**3 - 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 24 - (2 - 1). Suppose 0 = -3*l + 7 + m. Let a be (-9)\/l - (-1)\/2. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8822170 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:33 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/(3\/(-27)). Suppose 4*a = -5 - l. Are 2 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 13. Let f(g) = -13*g - 35. Let v(r) = 3*f(r) - 8*t(r). Let y = 2 - -5. Let x(h) = -8*h - 1. Determine y*v(d) - 6*x(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -45. Calculate the highest common divisor of k and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*k + 2*k + 16, 4 = s - 4*k. Suppose -s*b = -0*b. Suppose 0 = 3*i + 3*j - 3, -4 = -4*i + 2*j - 3*j. Sort b, i, -1.\nAnswer: -1, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*v**3 + 350*v**3 + 351*v**3 - 1079*v**3.\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*p + 2*d + 3*d, -4*d = 4. Suppose j - p = -3*b, 0*j = -3*b + j + 8. Suppose -2*s = b*s - 45. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -15197*r - 5126. List the prime factors of q(-4).\nAnswer: 2, 3, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000252024 rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 + -12 - (0 - 4). Let i be (a\/(-4))\/(21\/56). Find the third derivative of -2*c**2 - i*c**2 - 7*c**4 + 3*c**4 - c**4 wrt c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11216 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*39*-1. What is the greatest common divisor of 39 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 3*d**2 + 2*d**3 - d**2 - 1 - 4*d**3 in the form k*d + s + b*d**2 + f*d**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 1, r: 2, t: 4}. Give prob of sequence tt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9936 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h + 11. Let i(p) = -14*p - 12. Let x(f) = 3*d(f) + 2*i(f). Let j(u) = -5*u - 4. What is 9*j(m) + 4*x(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 3*x**2 + 7*x - 7. What are the prime factors of r(8)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.28 + -3.72. Let q = 3.7 + k. What is the smallest value in q, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8022.715 kilometers?\nAnswer: 802271500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 5*c - 3. Let j be z(3). Suppose -43 = -j*b - 13. Is b\/(-15)*1758\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.98 and 0.27.\nAnswer: -0.2646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 79 = -91. Suppose 4*l - 95 = -i*k + 298, 3*l - 390 = -3*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1476118 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bbb6 (base 13) to base 10.\nAnswer: -54736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2099 + 3878. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 543 and 30951.\nAnswer: 30951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.7501*2.3.\nAnswer: -33.92523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13938 * 62.\nAnswer: -864156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 - 12*d**3 + 38*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*-6 + sqrt(77) + -2*sqrt(77)*-4)\/(2*sqrt(1331) - 3*(sqrt(11) + sqrt(11)*-1)) + 5.\nAnswer: 3*sqrt(7)\/22 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(245) - (-3 + sqrt(245))) + 1 - 4*-5*sqrt(25)\/(-3*sqrt(5))) + 3)**2.\nAnswer: 560*sqrt(5)\/3 + 3764\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 194a7a3?\nAnswer: 194a7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -daa (base 14) to base 3.\nAnswer: -10200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v + 20 = 0, 0 = -5*u + 5*v + 20. Let x(a) = 0*a**2 + 1 + 8*a**2 + 2*a + 0. Let b be x(u). Calculate the highest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373048 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1786059)\/(-187) - ((-10)\/17)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*h - 38, 0*o = 2*o - 5*h - 45. Is 384\/o - 1\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 886*v**2 - 71*v + 1023*v + 631*v.\nAnswer: 886*v**2 + 1583*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -7 (b) -0.08 (c) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 497903425 to the power of 1\/2, to the nearest integer?\nAnswer: 22314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 o when three letters picked without replacement from ddoowoooq?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.9894 - 123.48.\nAnswer: -132.4694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6 - ((-5)\/15 - 0). Let s be 1920\/(-90) - 2\/x. Let f(g) = -7*g - 11. Let o(n) = 2*n + 3. Determine s*o(h) - 6*f(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -18 + 0*q - 3 + 13*q - q. Is o(12) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m**2 - m. Let f(v) = 63*v**3 - 9*v**2 - 9*v. Give 2*f(a) - 18*u(a).\nAnswer: 144*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 - 1400030?\nAnswer: -1400112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 = 175*v + 27 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 236.027 - -6361.\nAnswer: 6597.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10 (b) -0.1 (c) 2\/17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -10, -2*u - 5*o + 54908 = -12488. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2057 (c) -14 (d) -4\/5 (e) 0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v - 17. Suppose -7*i + 40 = -2*i. Suppose 0 = -r - i + 21. Let m(n) = 4*n + 8. Give r*m(y) + 6*u(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 389476*o. Let z(y) = -49*y. Give t(z(q)).\nAnswer: -19084324*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22 - -0.32. Which is smaller: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3696 - -3700. Let b = -9.23 - -0.23. Let y = 8.5 + b. What is the second biggest value in 5, f, -9, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 0.14.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(2\/(-8)). Let a be l\/((-2)\/(-5)*5). Let g = 6 + a. Solve i - g*y - 12 = -0*i, -15 = 5*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -5*o - 3*i, 0 = -3*o + 4*i + 743 - 731 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 1326118081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 + a**2)*(0*a - a**3 + 0*a) - 1 + 1 - 5*a**5.\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m - m**5 - 5*m + 2*m**5 wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2760.404 microseconds?\nAnswer: 0.002760404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 585464 and 10245620?\nAnswer: 20491240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 95, 0, 88, -30, 3, 2.\nAnswer: -30, -2, 0, 2, 3, 88, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.5 - 5.6. Let r = -2.10109 - a. What is r rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/18)\/((-245)\/(-4410))*(-1)\/(3\/57)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*b = 63, 4*p + 4*b - 88 + 52 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 3)*(0*g**2 - 5*g**2 - 1678*g + 1457*g) to z + o*g**2 + u*g and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 + 3)*(-2*l - 4*l - 5*l) - 4*l + 0*l + 3*l)*(-2*l + 0*l + 3*l) as x*l**2 + n + v*l and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 38. Let l = 78 + i. Suppose 14 = 4*g - 4*s - 6, 0 = -5*g - 4*s + 61. Solve 2*a - l = -g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blbl when four letters picked without replacement from vlvvlvvvbvvbv?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 26 = -8*m, -1996*m = -1991*m - 25 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 1. Let l(x) = -x**2 - 6*x - 7. Let m be l(-6). Let y = 8 + m. What is z(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 28. Calculate the remainder when (-9)\/(-2) + 2\/4 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10620, 21243, 31876, 42519, 53172, 63835?\nAnswer: 74508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txwwtyatatxtl. Give prob of picking 1 x and 2 a.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108, -107, -104, -99, -92, -83, -72?\n\"Answer: k**2 - 2*k - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + 9 + 13*n + 1 to the form z*n + m and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 8*v - 2. Let x = -43 + 48. Suppose x*p - 3*t - 14 - 18 = 0, -3*t = -3*p + 24. What are the prime factors of u(p)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*r**4 - 1546*r + 12*r**4 + 290 - 93*r**3 - 535 + 245 wrt r.\nAnswer: 792*r**2 - 558*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24 + -22 + (-178)\/36 and 21\/724?\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160359385 divided by 2165?\nAnswer: 74069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-62)\/(-5))\/(10\/3100). Calculate the greatest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 15773\nAnswer: -3\/15773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1278 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -256700 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5037 a factor of 674766594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1331 - -1330.32. Let g = -0.58 - c. Let d = -86\/3 + 28. What is the third biggest value in d, g, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*v = 100, v = 2*n + 5*v + 50. Let w be -2 + n*(3\/(-3))\/3. Is (-81)\/(-6) + w\/(-2) + 0 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/26 - 6\/13. Let h = 2.9 - 3. Is h greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24 and 0.04?\nAnswer: 24.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 542*b**3*t - 3*b**3 - 8*b**2 + 112*b*t**2 - 13*b + 2*t**2 + 1550 wrt t?\nAnswer: 542*b**3 + 224*b*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 4*v - 5. Let p be y(-5). Suppose 2*b - 7*b + 1115 = p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11413 + 284. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 417375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(30\/125))\/(4 - 416\/96)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b - 19 + 139 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1426 = -4*g + 2474 - 132. Calculate the remainder when g is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-248)\/18 + (-4)\/18. Let s = f + 18. Suppose -5*j + 397 = -s*q, 6*q - 4*q - 148 = -2*j. Calculate the highest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/(-4)*(-56)\/1092. Let w(x) be the third derivative of 0*x + 1\/6*x**4 - q*x**3 + 10*x**2 + 0. Determine w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (407\/(-33) + 9)\/((-2)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/9, -0.181, 1\/15, -2 in decreasing order.\nAnswer: 1\/15, -1\/9, -0.181, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214895 is divided by 53673?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 55, 1\/3, -2, -4\/7 in ascending order.\nAnswer: -2, -4\/7, 1\/3, 6\/5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.15, -1\/6, 4 in decreasing order.\nAnswer: 4, 0.2, -0.15, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114436 + -19851. Let f = m + 278340. Let i = f - 77053. What is i rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -25*i**2. Let v(f) be the second derivative of -f**3\/6 + 11*f. Give v(o(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 18*a + 4. Let t be s(4). Suppose -8 = -4*x, -3*x = 4*m - 2 - t. Suppose -3*j = -12 - m. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1727 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*v = 0, 4*v - 1 - 1 = -3*p. Differentiate 33*t**2 - 6*t**p + 9 - 15*t**2 wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**4 + 244*w**3 - 1144*w**2 + 1344*w = 0.\nAnswer: 0, 2, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 18. Let y be (36\/(-2 + 0))\/h. Do -18 and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24589\/4 - 6147. What is the closest to 72 in -1, a, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108.7 + 109. Which is the nearest to 1? (a) t (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 517, 518, 519, 520, 521, 522?\n\"Answer: n + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-4*sqrt(114) + (sqrt(114)*-6 - sqrt(114))*2 + sqrt(114))\/((sqrt(486) - (sqrt(486) + sqrt(486)*-3*-4 + sqrt(486))) + -6*sqrt(486)*-1))**2.\nAnswer: 475\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319286?\nAnswer: 2, 11, 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**6\/120 + f**5\/12 - 5*f**4\/12 + 3*f**2 + f. Let r(z) be the first derivative of o(z). What is the units digit of r(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -5101.842.\nAnswer: 5106.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2518 - -4c1?\nAnswer: -2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(605) + (2*sqrt(45))**2)*-3 + ((-1*sqrt(405) + -5 - sqrt(405)) + -3*-1*sqrt(405))**2.\nAnswer: -123*sqrt(5) - 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 36994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 + 611*z - 708. Let g be u(-103). Calculate the highest common factor of 7787 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 130, 389, 886, 1699, 2906, 4585, 6814?\nAnswer: 9671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**8\/560 + j**6\/180 + j**3\/3 + 2. Let l(q) be the third derivative of z(q). Find the third derivative of l(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9294\/65058*(8\/(-6))\/((-7)\/(-21)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 6. Let t be r(4). Let z(f) = f**3 + 10*f**2 + 10*f + 15. Let w be z(-9). Suppose 0 = w*y - t*y. Is 0 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, -12, -54, -134, -264?\n\"Answer: -2*i**3 - i**2 + i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*o + 19 + 37. Suppose 5*b = 5*l - 100, 2*b = 3*b + 5. Suppose x - l = -4*x. Solve -x*p + o = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 261 = -2*v - r, v + 3*r - 49 = 0. 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 j = -61 + 86. Suppose -3*l + j = 2*l. Put 6, -4, l in decreasing order.\nAnswer: 6, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c**4\/7 - 1904*c**3 - 966106*c**2\/7 + 976106*c\/7 - 34980 = 0. Calculate c.\nAnswer: -1590, -77, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**5\/5 + 5*f**4\/12 - f**3\/9 - f**2\/6 + 11. Factor p(d).\nAnswer: -d*(d - 1)**2*(3*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l - 5*i - 3 = 0, -3*i = 4*l - 73. Calculate the highest common factor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16068)\/(-13))\/(-12) + 2\/(-4*1\/14)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 199367*c**3 - 199394*c**3 - 2.\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -20. Let n = p + 32. What is the third biggest value in 2\/9, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Solve -s*g = -8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8168000 rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -199. Find the common denominator of s\/30 + (-1 - 0) and -25\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -169b12b + 3?\nAnswer: -169b128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-2))\/(16*(-102)\/192)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b = -5684 + 5063 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/98)\/((-4176)\/7308)*12\/225\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*j)*(-13*j + 128*j**2 + 3*j - 126*j**2).\nAnswer: -4*j**3 + 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 - -4.4. Which is the third biggest value? (a) k (b) 0.2 (c) -0.3 (d) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*w + 15, 32*w - 25030874*m + 201 = -25030871*m for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 16*c - 3*k = 23*c - 17*c - 7, -3*k + 12 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(234) - sqrt(234) - sqrt(234))\/sqrt(9) - sqrt(26))\/(sqrt(128)*-2 + sqrt(128)).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/4 - 4221*w**2\/2 + 1979649*w - 618970254.\nAnswer: 3*(w - 938)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 2. Let m(n) = 7*n + 255. What is -j(c) - m(c)?\nAnswer: -4*c - 257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnnh when four letters picked without replacement from {n: 4, h: 14}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -3, -224, 0.\nAnswer: -224, -3, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 69*j**2 + 102*j + 2311. Calculate q(-68).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76710408 to four dps.\nAnswer: 0.7671","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 7*m**2 - 4*m - 5. Calculate n(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 7*h + 6. Let y = 12 - 17. What are the prime factors of j(y)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2*(-2)\/(-68). Let g(r) = -27*r**2 - r. Let p be g(1). Let t = 111\/4 + p. What is the nearest to t in s, 0.2, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from gjggjgggujggjgjggg.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 276. Let w(f) = -241286*f. Give h(w(q)).\nAnswer: 241286*q - 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3203870*t**3 + 55*t**2 - 304012417*t wrt t?\nAnswer: -19223220*t + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (2*sqrt(156)*-1 - sqrt(156)))\/sqrt(6))\/(-2*sqrt(200) + -5*sqrt(32)) + 5.\nAnswer: sqrt(13)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394242390 rounded to the nearest one hundred thousand?\nAnswer: 1394200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10102 (base 4) to base 7\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -38. Suppose 4*n + 13 = -5*j, 0 = h*n + 4*j + 4 + 10. Let m(o) = -5*o - 1. Suppose 45 = 3*f - 0*f. Let a(p) = -36*p - 6. Determine f*m(b) + n*a(b).\nAnswer: -3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + (-3 + sqrt(243) + (sqrt(243) - (sqrt(243) - 4*sqrt(243) - sqrt(243)) - sqrt(243)) - sqrt(243)))*-2 - (-2 + sqrt(243) + -3 + 5))**2.\nAnswer: -1188*sqrt(3) + 29439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -3*h + 5*x, 4*h = -0*h - 3*x + 243. Let y be 4\/10 + (-24)\/h. Solve y*g - 3*g = -3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 5*x**2 - 7*x + 8. Let c be i(6). Let p(f) = f - f + c*f. Let s(y) be the second derivative of -y**4\/6 + y. Give p(s(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**3\/3 + 5*s**2 + 13*s + 1. List the prime factors of h(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -5*(sqrt(2)*1 - sqrt(2)))**2 + sqrt(2) - (sqrt(24)\/sqrt(4))\/sqrt(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 + r. Suppose 0 = 5*u - 28 - 2. Suppose 4*d + u = -2, 3*o - 9 = -3*d. Suppose 3*s - 2 = o*s. Give h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*r + 197 + 283 = 0. Let c(o) = -o**3 - o**2 - 1. Let v(y) be the first derivative of 5*y**4\/4 + 2*y**3 + y**2\/2 + 5*y + 2. Give r*c(z) + v(z).\nAnswer: -z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5387 - 5392. Put 6, 2, 60, o in ascending order.\nAnswer: o, 2, 6, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2238*s**3*u**3 + 6*s**3*u + 14*s**2*u**5 - 1446*s*u**2 - 2*s*u + 3 wrt u.\nAnswer: 13428*s**3 + 840*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:36 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*3\/6*8\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549269983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6174 = -43*f - 6*f. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 9*z.\nAnswer: z*(z - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -21. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4930 = 51*b - 587*b + 43*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let a(u) = -3*u**2 + 18*u + 3. Calculate a(z) - 18*l(z).\nAnswer: -3*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 4 - 34) + 205 + -180?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2168383, 4336694, 6505005?\n\"Answer: 2168311*l + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011 (base 2) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*h = -416*h + 384. Suppose -3 = 2*d - 11. Solve -2*g + d = -h*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -182, -461, -842, -1325, -1910?\n\"Answer: -51*x**2 - 126*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*r, 1 + 11 = a + 5*r. Let w be 3 + 387\/(-36) - a. Determine m, given that 0*m + 0 - 1\/8*m**2 - 1\/8*m**4 + w*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*g. Suppose g = -2*x - x. Sort -1, x, 11.\nAnswer: -1, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Let s = j + -3.6. Suppose -5*p = -4*o - 13 - 20, 0 = 5*p + 3*o - 19. Which is the closest to 1\/4? (a) s (b) -3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 220 = -6*o. Let c be -1 - ((-160)\/50 + 1\/5). Suppose 0 = c*k - o - 26. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m. Let v(j) be the third derivative of j**4\/8 + 11*j**2. Determine s(v(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7386 and 20.\nAnswer: 73860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -2*h + 37 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2493)\/(-3324))\/(3\/32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xocgbddxbbgdcxdgcod. Give prob of sequence ddc.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1089567 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3345.\nAnswer: -2\/3345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 7*r + 20. Let s be q(-9). Suppose -49 = -s*z + 97. What is the remainder when z is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/9 (b) 2 (c) 5 (d) -2\/13 (e) 1\/2 (f) 2.603\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148420516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 17*q - 20*q. Suppose 22 - q = -5*c. Suppose -4*n = -4*s - c*s + 472, -4*n = 2*s - 224. What is the greatest common divisor of s and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*(x*x*x\/(x\/x**(-6))*x*x)\/x*x)\/x*x)**12)**36 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, u: 1, l: 1, k: 1}. What is prob of picking 1 a and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 40. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 51677650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/2)\/(15\/(-75)))\/((-1265)\/828)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 32 = q + 2*n, -2*n = -3*q - 104. Is 2\/9 - 1288\/q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-1\/4)*s*s)\/((s*s**(-1\/5))\/s))**33\/((s\/(s\/(s*s**(2\/7))*s)*s)**(1\/14)\/(s**0)**(-41)) assuming s is positive.\nAnswer: s**(143823\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(99) - (sqrt(99)*1 - sqrt(99))) + sqrt(99)))\/(sqrt(9) - (sqrt(9) - sqrt(225)*3)).\nAnswer: -4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -272\/6283 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/(5\/6). Let z(s) = 11*s - 150. Let r be z(14). Which is the biggest value? (a) p (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 - 0.5. Let g = 15 + -11. Which is bigger: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62073.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2555338 and -11.\nAnswer: -28108718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -6\/53 (b) -1 (c) -3 (d) -592 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 4*r - 2. Determine x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -26. Suppose 249 = h*v - 180. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 5*p**2 + 59*p + 152. Give n(11).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -6)*(-2518)\/(-28). Let y = m + -2243552\/6237. Let z = -1978\/891 + y. What is the common denominator of 97\/2 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 201990.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1239*p + 73105. What is u(59)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276 - 269 + 149*m + 450*m - 7*m to n*m + d and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 25*s**2 + 23*s - 29. Let b be h(-26). Suppose 28 = -b*y + 56*y. Sort y, 7, -20 in descending order.\nAnswer: 7, y, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 17, y: 2}. What is prob of sequence zzz?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(5 - 0)*1. Let h(z) = z - 4. Let l be h(d). Suppose -l = -4*o + 95. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5154.\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*h**3 + 7*h**3 - h - 1 + 180*h**4 + 20*h**3 + 11*h**3 as p*h**3 + t*h + i*h**2 + u*h**4 + y and give u.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.2 + -8. Let l = d + -0.2. Which is the second smallest value? (a) 3\/8 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - sqrt(405)*-2)\/(1*sqrt(900)))**2.\nAnswer: 81\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15.3, -73.6 in descending order.\nAnswer: 0, -15.3, -73.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ollo. Give prob of picking 1 o and 2 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 5*y + 15, -3372*c + 9 = -3374*c - 3*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) 0.2 (b) 0.03 (c) 1.3 (d) 30 (e) 207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, 6\/301 in descending order.\nAnswer: 4, 0.2, 6\/301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 114614640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -836, -1060, -666, 346, 1976, 4224, 7090?\nAnswer: 10574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*q - 42, -2*q - 32 = -4*q - 4*b. Suppose 0*k - q = -3*k. Solve f + k = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40\/12)\/(1\/3). Let n = -5 + p. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/15666156 and -133\/302879016.\nAnswer: 908637048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 267049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26441 = -a + 3*t, 4*a - 18710 - 87102 = 4*t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 228\/190*(1 + (-11)\/16). Which is the closest to 0? (a) 13.2 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5350?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 7*z - 62 = -p, -p - 5*z = -52. Let k be 2 - (-11)\/(p\/14). Solve k*i = -6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328*1\/(-133) + (-2378)\/22591.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i - 1. Let m be u(-4). Calculate the highest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100399364 to the nearest integer?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -828, -1\/3, 0.2, 0.1, 2?\nAnswer: -828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -744278.64098509 - -744282.161. Let d = -3.52 + h. Round d to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 35*d**2 - 58*d - 251. Give r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*x - 2256 = 0, -7*x + 2258 = -5*n - 6*x. Let b = n + 451. Let k(f) = f**2 + 6*f + 3. Let r be k(-4). Sort b, r, 3, 2 in descending order.\nAnswer: 3, 2, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*91\/52 - 9 - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 48*g = -11*g - 3445 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -u - 9, 4*u - w + 5*w = -16. Let q = 4.6 + -5. What is the second biggest value in 2\/3, u, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + x + 305 = -2*x, 4*f + 2*x = 570. List the prime factors of f.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, z: 3, v: 2, u: 4, r: 6}. Give prob of picking 1 r, 2 s, and 1 z.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51095644 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 17*a**2 - 19*a + 16. Let c be (-4 - (-10)\/5) + -16. Calculate the lowest common multiple of z(c) and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/5 - 148281272*x\/5 + 2748416953242248\/5 = 0.\nAnswer: 37070318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 171852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**4*u + 23*o**4 + 17*o**3*u - 4*o*u + 27*o + 8*u - 1 wrt o?\nAnswer: 60*o**2*u + 276*o**2 + 102*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, l: 1, a: 2, h: 7, d: 3}. What is prob of sequence sssd?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165126, 165127, 165128, 165129, 165130?\nAnswer: 165131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2 - 12\/(-672)*-28\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 29 in descending order.\nAnswer: 29, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-20)\/8 + 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 3. Let p(k) = -2*k - 4. Let f(v) = 2*p(v) + 3*q(v). Let g be f(2). Which is the second biggest value? (a) 7.5 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(10)\/sqrt(2)*-4 + sqrt(5) - sqrt(5)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 267 and 788094.\nAnswer: 70140366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -859 + 580. Let f = y + 278.99999847. What is f rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k*m**6 - 1097*k*m**5 - 2*k*m**2 + 185*k*m - 32 wrt m?\nAnswer: -360*k*m**3 - 65820*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -29\/5 (c) 6\/7 (d) 4012 (e) -1\/3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(4032)*-2)\/(sqrt(576)*2*2 - sqrt(576)).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -121 + (10 - (-21 - 23)) + -22 + -10\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/(-7)*(-12194)\/(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 3. Let g(f) = 5*f - 7. Suppose -2*c - 21 = 5*c. Let m(s) = -s**2 + 2. Let v be m(-3). What is c*g(u) + v*k(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -5 - (-8 + 1). Solve -7*w + 3*w = v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 125 = 2*i - 0, 28 = -14*i for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 3*t)*(1 - 1 - 5*t**2) - t + t + t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, w: 2}. Give prob of picking 1 v and 1 w.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 35*s + 46. Let q be a(-7). Let i = q - -204. Put 4, 47, i in increasing order.\nAnswer: 4, i, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*((-1 - 1) + 3). Let r = 3 + w. Suppose -j = -r*j + 3. Solve 0*t - j*t = -2*s - 1, t + 5*s - 6 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/6 + d**3\/3 - d**2\/2 - 4*d\/3 - 2\/3.\nAnswer: (d - 2)*(d + 1)**2*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 y when four letters picked without replacement from quuyyqyyuuyu.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 21*u + 132. List the prime factors of s(9).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109869733.\nAnswer: 1061, 103553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 24 - 4 = 0. Suppose q*f - 3*f = 0. Suppose -3*z - 4*r + 24 = 0, f = -5*z + r + 1 + 16. What is the highest common factor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 624.931 - 599.91. Let d = -25 + w. Round d to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 - 229*g**2 + 694*g - 464 = 0. Calculate g.\nAnswer: -232, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1205 = -6*s + 5*s. Let p be s\/(-10 - 4\/2). Let o = -1429\/15 + p. Calculate the common denominator of o and -101\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + 14*j + 35. Let p(k) = -3*k**2 - 8*k - 20. Let x(s) = -4*m(s) - 7*p(s). Let w(n) = -712*n**2 - 1. Give x(w(y)).\nAnswer: 506944*y**4 + 1424*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -32, 24*y - 29*y - 341855 = -5*l. What are the prime factors of l?\nAnswer: 137, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 89 + -2094 + 2061.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2561696 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*4*((4 + 3*sqrt(300) - sqrt(300)) + (sqrt(300) - (-4 + sqrt(300) + -1 + sqrt(300) - sqrt(300))))**2.\nAnswer: 34560*sqrt(3) + 122976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1)\/(14 + 5907\/(-429)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1936*u + 8. Let d be h(-7). Suppose 0 = -s + 2*y - 2720, -5*s - 4*y - d = -6*y. What is s rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7369.8 and 12.\nAnswer: 88437.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5619477.\nAnswer: 3, 1873159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160.2 + 765.8. Let d = 925.999999189 - p. What is d rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, -105, -227, -349, -471, -593?\n\"Answer: -122*m + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -943.8 to the nearest ten.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5 + 330*w**4 + 5730*w**3 + 26710*w**2 + 19788*w - 52560 = 0.\nAnswer: -146, -12, -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1707*p - 35 + 35.\nAnswer: -1707*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p - 1. Let f(x) = -x. Suppose -11*h - 24 = -7*h. Determine h*f(s) + t(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 192, 194, 242, 366, 596, 962, 1494?\nAnswer: 2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22124 (b) 0.1 (c) 4 (d) -136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24 - -23)\/((-3)\/270*-2). Let c be (d\/(-6))\/((-5)\/(-4)). Solve l - 2 = o, -o - 4*l + c = -l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 39 = 4*h + 5*x, -20415*x + 20414*x - 3 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 - 6*y**2 - 18*y + 5. Let i(h) = 4*h**3 + 5*h**2 + 17*h - 4. Calculate -6*i(s) - 5*t(s).\nAnswer: s**3 - 12*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -33*d**2 + 42*d - 41. Calculate i(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(sqrt(2) - (sqrt(16)\/sqrt(4))\/sqrt(2) - (sqrt(20)*1)\/sqrt(10)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 17. Let u(v) be the third derivative of -v**6\/360 + 13*v**4\/24 + 3*v**2 + 3. Let q(k) be the second derivative of u(k). Give q(n(y)).\nAnswer: -2*y**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50861745 is divided by 890.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**7\/210 + 8881*j**6\/120 - 23*j**5\/10 - 11*j**3\/3 + 5047*j**2. What is the third derivative of m(d) wrt d?\nAnswer: -24*d + 53286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.219 + -0.019. Which is the second biggest value? (a) o (b) -1\/4 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/408265 and 19\/244959.\nAnswer: 1224795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 40 = 8*n. Let c = -9 + n. Let p(a) = a**3 - 12*a**2 + 16*a - 5. List the prime factors of p(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674950 is divided by 3717.\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**7*m)\/m**(-6\/7))\/(m\/(m\/(m*(m*m**4\/m)\/m*m))*m*m*m*(m\/(m**7*m))\/m*m))\/((m\/m**3)\/(m**(1\/4)\/m)*m**(-2\/23)\/m*m*m\/m**(-5\/4)) assuming m is positive.\nAnswer: m**(1118\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9312, 13173, 17036, 20901, 24768, 28637, 32508?\n\"Answer: g**2 + 3858*g + 5453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3000066, -3000072, -3000076, -3000078, -3000078, -3000076?\nAnswer: -3000072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11230.008551 + -11230. What is i rounded to four decimal places?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -f - 78 + 10, 115 = -5*r - 2*f. Let b be r\/((-10)\/8 - -2). Is 2063\/7 - b\/98 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7439*w**2 - 2*w + 14878*w**2 - 99 - 7437*w**2 to f*w**2 + j*w + c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*-1)\/(2*-2*sqrt(4) + sqrt(4)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 136.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.11 (b) 2\/3 (c) 1\/2 (d) -33\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r + 311. Let a(h) = -26. Let x(k) = 12*a(k) + m(k). Let g(l) = 18*l - 2. Determine 5*g(w) - 8*x(w).\nAnswer: -6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b**2 + b + 1. Let n be x(0). Let j be -66000 - n - (-3 - -2). Round j to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 8*g + 170. Let d = -12 + g. Suppose 4*k - 49 = 3*y - 4*y, -d = -2*k + 2*y. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -4. Calculate the remainder when 131 is divided by q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8375 - 4052. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1102, -1145, -1188, -1231, -1274?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 7*h - 3*h**3 - 2 + h. Let r(f) = f**3 + f**2 + 1. Determine -c(z) - 2*r(z).\nAnswer: z**3 - 2*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.5 (c) 0.0066 (d) 5 (e) 0 (f) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.68 - -0.32. Let u = k - 23. What is the biggest value in 0.1, u, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9355821?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 + 3*d + 2. Let v be b(-1). Suppose 4*w + x = -26 + 196, -218 = -v*w - 4*x. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 644.8568 - 645. What is n rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42784 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 5*r. Let g(k) = -2*k**2 + 3*k. Let x(a) = -10*g(a) - 6*w(a). Let f(u) = u. Give f(x(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by 102?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4 - 4605*k**3 + 1578069*k**2 - 156967167*k + 155393700 = 0.\nAnswer: 1, 217, 1100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -75280*t**2. Let m(q) = -10*q. Give p(m(b)).\nAnswer: -7528000*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 2*f**3 + 0*f**3)*(4 - 19 + 16 - 93*f).\nAnswer: -93*f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1797336369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58060*h**2 + 22215*h?\nAnswer: -116120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -871, 37, 3, -0.1?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 3, 2, -6, -2.\nAnswer: -6, -2, 2, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -288085594*d. Let k(f) = 2*f. Calculate k(p(l)).\nAnswer: -576171188*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0 + 0*h**4 + 0*h - 1\/120*h**6 + 7*h**2 + 0*h**5 + 1\/6*h**3. Let k = 2 + -1. Determine o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 2*x**3 + 2*x**3 + (-6 + 6*x**2 + 6)*(-57*x + 43*x + 30*x).\nAnswer: 97*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1324 * -41.\nAnswer: -54284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 19*u + 61. Let s be b(6). What is the common denominator of (3 - 1) + (-182)\/(-12) and -11*(-15)\/110 - s\/(-20)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -533199.1008 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19840\/(-3472))\/(6\/63*3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -5*p**4\/12 - p. Let g(b) be the second derivative of 2*b**3\/3 + 875*b. Determine o(g(a)).\nAnswer: -80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2753 divided by -5?\nAnswer: 2753\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 40.05 (b) 2661 (c) -2.5 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-536)\/12 - (-2)\/(-3). Let r = -46 - o. Suppose 4*n + 4 + 0 = -4*k, 0 = 3*n. Which is the second smallest value? (a) -1\/6 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6\/5)\/z*z\/z**(-4)*z**(-9)\/z**(-2\/11) assuming z is positive.\nAnswer: z**(-331\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 13*p - 3. Let k be o(3). Let f = -21 + k. Factor 66*r**4 + 39*r - 1 + 1 + f*r**5 + 6 + 114*r**3 + 96*r**2.\nAnswer: 3*(r + 1)**4*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5*x*x**(-4\/9))\/((x*x*x**(-15))\/x**(-2\/9)))**50 assuming x is positive.\nAnswer: x**(2750\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 3)*(0*k + 0*k - 3*k**3) - k**2 + k**2 + k**3)*(-2*k + 0*k + 2 + 4*k) to the form b*k**3 + q*k**4 + i*k**2 + a + p*k and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 1 - 2)*(-42*t**4 - 7*t**4 - 8*t**4).\nAnswer: 741*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 4*x - 16 - 4, 13*x - 726 = -3*b - 9*x - 914 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-5)*(-1185)\/4266?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2 - 807*r + 2)*(7 + 9 + 4) to b*r + f and give b.\nAnswer: -16140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6070 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 6*k**2 - 4*k - 2. Let a(c) = c**3 + 10*c**2 - 3*c - 1. Let r(f) = -f**2. Let l(n) = a(n) + 5*r(n). Give 3*i(u) - 4*l(u).\nAnswer: -u**3 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/(186\/(-1084008)*-47)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 285424 (base 10) in base 3?\nAnswer: 112111112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {b: 3, u: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + 32. Let y(c) = -c**2 - 7*c + 2. Let l = 286 - 292. Let u be y(l). Calculate the greatest common factor of u and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from kkkyykkfyktjtyy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4997*l**5 - 54*l**3 - 4*l**2 + 2*l + 19868400 wrt l.\nAnswer: -99940*l**3 - 324*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 4*m + 2700. Let o be d(54). Let s(a) be the third derivative of o*a - 1\/72*a**4 + 1\/180*a**5 - 1\/9*a**3 + 6*a**2 + 0. Factor s(c).\nAnswer: (c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {a: 2, f: 3, s: 8, e: 1, w: 1, i: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knqkfvm. Give prob of picking 2 k, 1 q, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*4)\/((-135)\/(112320\/(-64))).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.682 + 18.05838. Round x to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 832 = -4*i, 2*r = -2*i + 3*r + 414. Is i >= 206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0 - 3*k + 10*k**2 + 0*k**3 + 7*k**4 - 1\/6*k**5 - 1\/120*k**6. Find the second derivative of w(c) wrt c.\nAnswer: -6*c - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 101 = -3*s - 81, -6*q + 84 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6573 or 13767?\nAnswer: 13767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.5, -2\/55?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3876*f - 496099. Determine t(-128).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 - 209. Are -5 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 977522, 1954370, 2931220, 3908072, 4884926?\n\"Answer: l**2 + 976845*l + 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 1 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9)\/k**(-7\/5))\/((k*k**(2\/11))\/(k*k**(-3\/8)*k*k)) assuming k is positive.\nAnswer: k**(10379\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, o: 4}. Give prob of picking 2 e and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from ttgtgtgttttt.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -595\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -18880 != -18892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 3130211?\nAnswer: 3130201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 7:46 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -12*w. Put 6, w, 3 in ascending order.\nAnswer: w, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33673131?\nAnswer: 3, 457, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 5*r + 2*r = 28. Factor -9*q + 0 + 9*q**r - 3*q**3 + 1\/3*q**4.\nAnswer: q*(q - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/(-1653)*252\/210.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -6\/19, 2\/9, 0.1, -3\/4, 3\/4 in decreasing order.\nAnswer: 24, 3\/4, 2\/9, 0.1, -6\/19, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90698, -74256, -46852, -8486, 40842, 101132?\nAnswer: 172384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -68*r**2 + 2841*r - 26213. Determine o(28).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -1. Suppose -4*j + a = 4. What are the prime factors of -1 + j + 2 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f. Let l be 2 + (-2)\/1 + f. Suppose 2*z = -3*g + 25, 26*g + 10 = 31*g - 3*z. Solve k - 3*i + g = -0*k, l = -i + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (8 - 2) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 25, -6*v + 4*v + 10 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j**3 + 3*j)*(j**2 + 2*j**2 - 2*j**2) + 393*j**2 - j**4 - 8*j**5 - 394*j**2 + 12*j**5 - 4*j**3.\nAnswer: 6*j**5 - j**4 - 4*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 339888.3 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*-5)\/(5\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44581 (base 11) to base 8.\nAnswer: -176106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376 - 202937699.414.\nAnswer: -202937323.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1.63 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i**3 - 3*i**2 + 2. Let n(j) = -j**3 - j**2 + 1. Let d be (-49 + 21 - -27)\/((-2)\/(-2)). Let m = 0 - -4. Determine d*f(g) + m*n(g).\nAnswer: 5*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2*i. Let a be w(4). Let o(c) = 2*c. Let d be o(2). Suppose -a = d*q + 8. Put q, 5, -1 in increasing order.\nAnswer: q, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800194361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20624*c**3 + 20408*c**3 - 61982*c**3 + 20548*c**3.\nAnswer: -402*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p*p)\/p**(-2)*(p**0)**(-30) assuming p is positive.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 not equal to -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386 and 37635.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a hour in minutes?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 137184, 274464, 411780, 549150, 686592, 824124?\n\"Answer: 3*b**3 + 137259*b - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 5, i: 8, d: 2}. What is prob of picking 2 z?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-47)\/(((t*t**(15\/11)*t)\/t)\/t) assuming t is positive.\nAnswer: t**(-532\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k - 4. Determine t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 75\/12*(-20)\/15*-99. Suppose -2*n - w = -3*a - 3*n, -5*n = 0. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.3 - -8.9. Sort 2, 0.2, k in descending order.\nAnswer: 2, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3160, -3157, -3154, -3151?\n\"Answer: 3*w - 3163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - o + 4*o)*(2*o - 3*o + 3*o) + (0*o - o**2 + 0*o)*(-5 + 5 + 1).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 + 8237*f**3\/3 + 7540515*f**2 + 6909617925*f + 13789095750.\nAnswer: (f + 2)*(f + 2745)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 7*j**2 + 0*j**2 + 3*j**2 + 2 + 3 in the form a*j**2 + d*j + f and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 + 75*w**2 - 121*w + 40. Give h(-39).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 322, 15\/8, 1\/2, -2\/43, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(10\/11)*w**(2\/7))\/(w**(-5\/3)*w**(5\/6)))**29 assuming w is positive.\nAnswer: w**(27173\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 318 = -53*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711027 is divided by 758.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 2*d**3 - 16*d**2 + 8*d + 170. Give b(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -92, -145, -234, -371, -568, -837, -1190?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 744 + -283. What is the remainder when s is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 7:07 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjejgjeyjyjyjjey. Give prob of picking 1 g and 2 e.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10749402 is divided by 73626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5944 + 6019. Calculate the remainder when 1049 is divided by j.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.862686 millennia to decades.\nAnswer: 186.2686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.9432 - -0.0568. Which is the second biggest value? (a) 1\/2 (b) -34 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffqqfffqfffff. What is prob of sequence qqf?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4 (b) -2\/7 (c) -0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 44*q + 402. What is y(-31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z + 105 - 161. Solve 0 = 3*d - 2*f - 3*f - z, -2*d = f + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -4, -0.04, -583, -2\/5 in descending order.\nAnswer: 1\/6, -0.04, -2\/5, -4, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-21))\/(45\/(-105)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 19 + 3. Suppose w*k + 15 = 7*k. Suppose -39 = -k*i + a, -3*i - 2*i + 41 = a. What is the smallest common multiple of 20 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45 and -14\/519.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/120 - 11*n**5\/60 - n**4\/24 + 7*n**3\/3 + n**2. What is the remainder when 48 is divided by v(-11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001111011 (base 2) in base 7?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znaatatntzataazat. Give prob of picking 2 t.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-600)\/(-630) + 10\/(-15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467940 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfghgfhjyghh. Give prob of picking 2 f, 1 r, and 1 g.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * -3.3.\nAnswer: 128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1425731.9 and -4180.\nAnswer: 1421551.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -247 + 375. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 61*(-1)\/(-2 + 3). Let j = o + 163. Suppose 2*c - j = 64. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.12 (b) -35 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -439*v**6 - 3*v**5 - 483*v**3 - 2796*v**2 - 384.\nAnswer: -52680*v**3 - 180*v**2 - 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/9 - ((-61)\/(-9) + -7). Suppose 2*m - 9 = -m. Suppose -m*d = -5*d + k. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0*d**4 - d + 0*d**3 + 1\/20*d**5 - 1\/2*d**2 + 0. Let m(u) = u**3 - 4*u**3 + 2 + u**3. Calculate -9*j(f) - 4*m(f).\nAnswer: -f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300322 + 1?\nAnswer: 1300323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6104 - 6064. What is the remainder when 182 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + (sqrt(72) + 1*sqrt(72) - sqrt(72)))*5)**2 - (sqrt(140)\/(sqrt(42)\/sqrt(6)) + sqrt(20))\/(sqrt(30)\/(4*sqrt(3))).\nAnswer: -3800 + 1192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*q + 142*q - 215760 = 0. Calculate the smallest common multiple of q and 680.\nAnswer: 21080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 13 = -2*j - 0*j - 18*l, -j = -12*l + 59 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 35 = -9*r + 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjg. What is prob of sequence jj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17535697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38687 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1264*a - 4 - 3 - 11 + 34 - 14 to the form w + l*a and give l.\nAnswer: 1264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*g = -4*t + 86*g + 3, t = -2*g for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 111*t**3 - 1008*t - 375*t**2 - 172*t**5 - 540 + 15*t**4 + 257*t**5 - 88*t**5 = 0. What is t?\nAnswer: -5, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(6\/25)\/m*m**(-37)*m**(5\/9)\/((((m\/(m*m**(2\/9)))\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-7646\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 + -446 + (-2 - 6) - -22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*-6*((sqrt(448) - sqrt(448)*2*-4) + -3*sqrt(448)*-2))**2 + 4 + 3.\nAnswer: 130636804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/(-12))\/((-954)\/12). Let x = 227\/530 - n. Is 20 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115, 79, -27, -239, -593, -1125, -1871, -2867?\n\"Answer: -6*y**3 + y**2 + 3*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-10))\/((-708)\/(-15))*(-24418)\/(-85463)?\nAnswer: 1\/236","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4132.214cm?\nAnswer: 41322.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let v(o) be the second derivative of 0 - 1\/3*o**3 + 0*o**2 + 3*o. What is v(i(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**3\/6 + l**2\/2 + l. Let m(k) = 1. Let h(t) = -m(t) + n(t). Let y(o) = 3*o**2 + o**2 - o**2. What is h(y(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (49 + -3)*(-68)\/(-24)*3.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1781.8 + -1782. Let w be -15 - -2 - 0\/2. Which is greater: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -605024 (base 10) to base 14\nAnswer: -11a6c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4*i*(((i\/(i*i**(-6))*i)\/i)\/i)\/i*i*((i\/(i\/(i\/(i**(1\/5)*i*i))))\/i)\/(i**2\/i))**(-5\/4))**(-42) assuming i is positive.\nAnswer: i**357","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 773*h - 601.\nAnswer: 773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 4. Suppose 0 = -2*w - 4*r - 0 + d, -2*w + 14 = -r. Let x = 19 - 2. Calculate the remainder when x is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 678975185\/9 + -75538454. Let s = j - -97017. Let b = s - 250. What is the third biggest value in 0.5, -2\/9, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 9 - 68*i**3 + 69*i**3.\nAnswer: i**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/5100 and -113\/18360.\nAnswer: 91800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 91212.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 30*v**3 + 50*v**2 - 105*v**2 + 54*v**2 - 27*v**3 - 91*v as c + x*v**2 + f*v + i*v**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 3, -4, 4 in decreasing order.\nAnswer: 133, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 3*v - 233 = -462 + 181, 3*v - 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501968290?\nAnswer: 2, 5, 50196829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-193)\/((-538084)\/(-738))*((-16)\/(-6))\/(-1).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p**2 + 20*p - 473. List the prime factors of h(19).\nAnswer: 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4213 + -21?\nAnswer: -4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, 20\/11?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/18 + 11\/18. Let u = 20.9 - 1.9. Let j = u + -23. Which is the second smallest value? (a) 4\/5 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21124888 to the power of 1\/2, to the nearest integer?\nAnswer: 4596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8689.1 + 8689. Is p bigger than -94\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.41 + 2.79. Let y = 1.38058 - g. Round y to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.078 - -0.122. Suppose -126 = 21*l - 0*l. Sort m, -1, l, -0.2 in ascending order.\nAnswer: l, -1, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766 - 661 = 3*v - 5*z, 4*v - 2*z - 28 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 126 = -5*k. Suppose 19 = 2*v + k. Solve v*q + 37 - 12 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + 0 + sqrt(175) + sqrt(175) + -5)**2 - (sqrt(175) + 3 + -3 + sqrt(175)*3*-1)**2.\nAnswer: -80*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - -144. Suppose -11*c = -16*c - 5. Let i = k + c. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**2 + 0*v**3 + 1 + 3 - 13*v**3 - 9*v. Let z(n) = -5*n**3 - 5*n**2 + 2*n**3 - 2*n + 1 + 3*n**2. Let d = -4 - 5. What is d*z(u) + 2*o(u)?\nAnswer: u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -79 + 36 + (-1 - 1 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/((-504)\/96). Let x = -21.27 + 0.27. Let a = x + 22. Sort 3, l, a, 5 in increasing order.\nAnswer: l, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1612 and 4940.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13755*k**5 + 2*k**4 + 2*k**3 + k**2 + 3989*k + 5?\nAnswer: 825300*k**2 + 48*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 979 and 149924861?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-70)\/(-105)*(-58)\/(-4))\/(7\/(-7)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 + -0.21. Let x = p - 1.06. Let n = x - -0.7976. Round n to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**4 - 19*x**2 - 13*x. Let l = 21 - 34. Let j(g) = -3*g**4 + 9*g**2 + 6*g. Let a(n) = l*j(n) - 6*y(n). Find the third derivative of a(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 80 = -2*z, g = -2*z - 4*g + 96. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-22)\/b*b*b**(-22) assuming b is positive.\nAnswer: b**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-19)*f**(2\/21) assuming f is positive.\nAnswer: f**(-397\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -47. Suppose 0 = -3*q + 245 - 5. Calculate the greatest common divisor of j and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -23 (b) -0.03 (c) -45 (d) 2\/15 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 - 2*c**2\/5 + c + 6\/5.\nAnswer: -(c - 2)*(c + 1)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 214429979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -1, -30314 in decreasing order.\nAnswer: 0.07, -1, -30314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3648 and 684?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0. Let d be 2\/(-15) + (-2016)\/(-320) - 6. Sort -0.5, d, 0.5, m in decreasing order.\nAnswer: 0.5, d, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 2*k**2 - 37*k + 5. Let f be w(10). Let n be 4\/(-8)*f*-2 + -65. Is -62 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 157 - 1388 = 30*f + 534 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35476 or -35493?\nAnswer: -35476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.64 + 0.24. Let w = -6 - l. Which is the third smallest value? (a) 3 (b) w (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 1, 56, 8 in decreasing order.\nAnswer: 56, 10, 8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-13 - -3)*2*175. Let l = y + 218. Solve 0 = -5*o + 18 - l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 - -179.0025. Round p to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(-4*sqrt(91)\/(sqrt(21)\/sqrt(3)) - (sqrt(13) + 1 + -2 - (sqrt(13) + sqrt(208))*-6)))**2 + 1.\nAnswer: -7560*sqrt(13) + 1720009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -5. Let j be v\/(-18) + 6\/(-27). Suppose -4*r - 49 + 189 = j. Calculate the greatest common factor of 14 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 7*t**2 + t + 9. Calculate the remainder when k(3) is divided by (-7 - -6)*3\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0*p**2 + 1\/6*p**3 + 1 - 31*p. Let h(d) = 68*d**2. Give h(q(w)).\nAnswer: 68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**2. Let v(n) = 2*n**3 + 2*n**2 - 4*n - 15. Let x be v(0). Let m(h) = -h**2. Determine x*m(f) + 2*c(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*m + 59*m = 2*v - 5, -7 = 5*v - 4*m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 267. Let x be (-1246)\/13 - (-14 + (-552)\/(-39)). Let r = x + o. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 - (-3 + 9). Let f(c) = c**2 + 4*c + 1. Is f(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u + 3072 = 0. Let p be 1\/(-3) - u\/12. Is (p\/(-3))\/(2\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 - -1.6. Let o = k - -1. Suppose r = 2*f + 11, -5*r - 4*f = 2 - 29. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-4\/17)*v*v*v\/((v*v**(-35\/3))\/v*v*v))\/(v\/v**(-41)*v*v*(v\/(v\/((v*v**(-10)*v)\/v))*v)\/v))**(2\/25) assuming v is positive.\nAnswer: v**(-88\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 - 5633 + 5633.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -1273 - 4207. Suppose b = 7*s + s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1456691 not equal to 20\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 - 13*v**2 + 7*v - 25. Let j(b) = b**3 + 4*b**2 - 2*b + 8. What is -2*f(h) - 7*j(h)?\nAnswer: -h**3 - 2*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -37*j**7\/7 - 13*j**3\/3 + 38. Find the third derivative of p(d) wrt d.\nAnswer: -4440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 + 2 - -6) + -2 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let m(t) = -40*t**2 + 3*t. Let w(n) be the first derivative of -637*n**3\/3 + 49*n**2\/2 - 19. Let c(u) = -49*m(u) + 3*w(u). Determine c(j(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 - 6\/(-45). Suppose g - 69 = -2*d, -d + 42 + 6 = -4*g. Let p be 138\/d + -3 - (-1 + 2). Which is the third smallest value? (a) -1 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 380 = 2*c. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11949\/8535*4\/(-770).\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11288 = -9*g - 344. Calculate the highest common divisor of g and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-4 + 6)*-34. Let j = 184 - u. Suppose 5*y - 5 = n + 62, -2*n + 35 = 3*y. Calculate the greatest common factor of j and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 + 4 - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32837 times 0.5\nAnswer: 16418.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v - 144. Let s(q) = -q**2 - 19*q - 43. Let x be s(-10). Let a = x + v. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.239 and 0.037.\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11222489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqdu when four letters picked without replacement from uuduquudoadoquuaqa?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -3*y. Let o(n) = -3*n**2 + y*n**2 - n**2. Let c(q) be the first derivative of 2*q**3\/3 - 21. What is o(c(j))?\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p + 4. Let m(y) = 0 + 4*y - 1 - 3*y. Let w(z) = a(z) + 3*m(z). Calculate the remainder when w(1) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -93. Let v = -92 + 22. Let l = c - v. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59030, -59396, -59762, -60128?\nAnswer: -60494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76, 15, -272, -899, -1980, -3629, -5960?\n\"Answer: -19*d**3 + d**2 + 69*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-6) + (-1)\/2. Let c(p) = -p**3 - 5*p**2 + 6*p + 6. Let u be c(-6). Let a be (-3)\/9 + 2\/u. Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35381410 is divided by 3802.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19325020 by 166595.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 335698 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-492910)\/(-35)*147\/42 and 7.\nAnswer: 345037","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7da + -abf?\nAnswer: -2e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 12:15 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*k + 44, j - 41 = -4*j + 3*k. Suppose 4*v - j = -v. Suppose -150*c - 54*c = c - 8*c. Solve 4*l = -16, c*l - 4*l - 16 = -v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (5 + -4 + -10 + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102768 + 981455. Suppose k = 23*f - 164654. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/3, 0.4, 1, 1\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*o + 9 - 113 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10154722 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31 - 0.0495.\nAnswer: 0.2605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126127 - 9838045\/78. Let y = -21\/13 - p. Suppose w + 2*w - 12 = 0. Sort y, w, 1 in ascending order.\nAnswer: y, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-57630)\/(-90) - (-1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1602 and 1424?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10615\/1276 + -8 + (-3)\/12.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 28709?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p + 9. Let n(g) be the second derivative of -g**3\/6 + 3*g**2\/2 - g. Let w(o) = 2*c(o) - 7*n(o). Let a(l) = 4*l - 8. Calculate 3*a(z) - 8*w(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6786 (base 16) to base 6.\nAnswer: -322410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 20. Let g be n(17). Suppose 5*m - 4*m - g = 0. Solve -m*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-4 - (-12)\/9). What is the remainder when ((-2)\/f)\/(21\/(-5516))*-3 is divided by 63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306877197 and 223183416.\nAnswer: 2455017576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 3 + 6 - 5 + 4.\nAnswer: -3*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*f = 113189, 5*c - 38*f - 113177 = -34*f. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:09 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*u**4 - 20*u**3 + 24*u**2 + 3*u - 2428 wrt u.\nAnswer: -96*u**2 - 120*u + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 241175 and 5?\nAnswer: 241175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {z: 1, q: 1, k: 1, s: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - -93. Suppose -r - 311 = -5*d. List the prime factors of d.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -64 + 84 + -1 + -2 + -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41678 - 4?\nAnswer: 41674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 30. Suppose -116 = -3*j - v. Let a = 49 - j. What is the smallest common multiple of a and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g. Let p(u) = -4*u**2 - 2*u + 2. Let k(o) = -o**2 - o + 1. Let x(m) = 2*k(m) - p(m). What is x(z(c))?\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0*k)**(-39))**(-8\/5)\/(k**(-1\/4)*k**(-9))**(-29) assuming k is positive.\nAnswer: k**(-2869\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12116 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 9*l - 40. Let u(h) = -3*h**2 + 26*h + 114. Let n(j) = 6*u(j) + 17*x(j). Let s = 7 - 4. What is n(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-56)\/10)\/(1\/(-10)). Suppose -o = -h - 0*h. Suppose 36*s - 16*s - 300 = 0. Calculate the remainder when h is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 0*m**3 + m - 1\/15*m**6 + 0*m**5 + 0*m**2 - 1\/6*m**4 + 0. Find the third derivative of n(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 0.3, -43?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -0.5. Let g = 0.1167 + -0.4167. Sort -1\/3, g, j in ascending order.\nAnswer: j, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 95*i + 462. What is the thousands digit of c(-59)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f**2 - 3*f**2 - 2*f**2)*(63*f**2 - 4*f**2 - 13*f**2) - 4*f**2 - 2*f**4 + 4*f**2 as b*f + n*f**3 + y + p*f**4 + w*f**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -671, 49, 685, 1195, 1537, 1669, 1549?\n\"Answer: -7*i**3 + 769*i - 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -343\/1765 - 2\/353. Let w = -1\/39 + -4\/13. Sort f, 3, -5, w in increasing order.\nAnswer: -5, w, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 883487 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.787*-1.\nAnswer: -0.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 102\/204)*17\/(340\/312)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.8069 rounded to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + 5 - 15*d + 0*d**2 + 0*d - 14*d + d**2 to f*d + j + c*d**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 15*j - 28. Let p be l(2). Which is bigger: p or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22254007855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -206630 less than -37759449?\nAnswer: -37552819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/8 + 0)*2. Solve -a*w - 20 = 5*s, 3*s - 7*s = -2*w + 22 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 5\/12 (c) 440 (d) 40 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 36245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0339 - 0.4661. Which is the nearest to -0.1? (a) z (b) -0.9 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2145*u**2 - 117*u + 117. Let m(y) = 37*y**2 + 2*y - 2. What is 2*c(p) + 117*m(p)?\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -19*q**5 + 17*q**2 - 6. Let z(w) = 38*w**5 - 34*w**2 + 11. Let k(b) = -11*t(b) - 6*z(b). What is the third derivative of k(h) wrt h?\nAnswer: -1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*f - 227 = 53 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*(-1 - 34\/14). Let j = g - 6. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/68)\/(7\/14)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r + 618 = -15*r + 62*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*y**2 + 3*y - 3*y)*(431 - 431 + 5*y**2 + (1 + 0 - 2)*(1 + y**2 - 1)) to the form q*y**3 + i*y**2 + a*y**4 + o + s*y and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 10 = 8*w - 3*w, 2*x - 20 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 253*s**2 - 2585*s - 131. What is o(-136)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017167605 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -23*(-1)\/(-1) + -2. Let t be 4\/10*w\/20. Let a = 3 + -3. What is the closest to a in t, 1, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23776 and 6400.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206195 and 34067.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*n*q - 8423*n*s - 402*q*s + 2*q + 14*s - 20 wrt n?\nAnswer: 44*q - 8423*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 13 = 1. Let x(d) = -2*d**2 + 0*d + 0*d**2 - d**3 - 3*d. Determine x(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (2*sqrt(832) - sqrt(832)))*-5)**2.\nAnswer: 2000*sqrt(13) + 21425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 - 4)*(-2*a + a + 2*a) - 1 + 3*a + 1.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(((p*p**(-20)*p)\/p)\/p)*p**15 assuming p is positive.\nAnswer: p**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130293 and 46593?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -8*r - 20. Let m(g) = 5*g**2 - 7*g - 4. Let o(k) = 6*k**2 - 8*k - 3. Let n(p) = -5*m(p) + 4*o(p). Let x be n(r). Solve 6 - x = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1025743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -3574, 2, 2190 in decreasing order.\nAnswer: 2190, 3, 2, -2, -3574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 5*c**2 - 17*c**5 + 15*c**5 + (3*c**2 + 0 + 0)*(-2*c**3 + c**2 - c**2).\nAnswer: -8*c**5 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 - 11*y**5 + 3254*y**2 + 61*y**3 - 1760*y + 10*y**5 - 3254*y**2 wrt y.\nAnswer: -20*y**3 - 12*y**2 + 366*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n - 4 - 3*n - 3 + 8*n to the form j + y*n and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/7 (b) -4\/39 (c) -2793\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*5\/(-50)*(-2)\/65?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**5\/20 + 2*f**2 + 12. Let m(h) be the second derivative of c(h). Factor m(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-175)*(-30)\/(-9)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 475.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -97. Let o(a) be the third derivative of 0*a**3 + 16*a**2 + 5\/24*a**4 + 0*a + n. Let y(b) = 3*b. Determine o(y(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 2154453\nAnswer: 12\/718151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104743033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 2*i**3 + 15)*(i - 1 + i - 1) + (4*i**2 - 11 + 11)*(-7*i**2 + i**2 + 2*i**2) to the form l*i**2 + g*i + c*i**3 + k*i**4 + r and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in 0, -4, 0.1, 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-2 + -7 + 0). Let h = -6 + g. Put 5, h, 0 in decreasing order.\nAnswer: 5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 4. Suppose -4*h + 5*h = 0. Let z = h + r. Is -1 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/24*-10*8*(-6)\/15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + 2 + (6*(0 + sqrt(108)) - (sqrt(108) + (sqrt(108) - 5*sqrt(108)) + -1)**2) + -1).\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x**4 + 24*x**3 + 21*x**2 + 6*x = 0 for x.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j - 2 - 20*j - 127*j - 84*j in the form n + t*j and give t.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 707*c + 708.\nAnswer: -(c - 1)*(c + 708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1061, 1024, 989, 956?\n\"Answer: o**2 - 40*o + 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - f. Let u be y(0). Let s = 78 + -73. Suppose -s*p = -2*b - 28, 4*b - 3 + 19 = 0. Solve -a + 1 = -u*a, -p*h - a + 21 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -5*g**4\/24 - 29*g**3\/6 - 9*g**2. Let r = 12 + -6. What is the remainder when v(-8) is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = 2*p, 0*p - 3*p = -z + 5. Let l = p - -6. Suppose 2*k = 4*h + 3*k + 1, -l*k = -2*h + 17. Sort 3, h, -4 in decreasing order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -361, -782, -1367, -2116, -3029, -4106?\nAnswer: -5347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 422, 933, 1638, 2531, 3606, 4857?\nAnswer: 6278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 f when four letters picked without replacement from lffxxxlxffxfxxx.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 698274731 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3013018000 rounded to the nearest one million?\nAnswer: -3013000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h)\/h*h**(-6))\/(h\/h**(2\/7))**(5\/8)*(h*h\/h**(-2)*h*(h**5*h*h)\/h)**16 assuming h is positive.\nAnswer: h**(9607\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 13*p**2 + 16*p - 9. What is o(14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/9 - 2)\/((-2)\/3). Let a be (-370)\/(-20) - z\/2. Suppose -4*w + 6 = -a. What is the least common multiple of w and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 125702, 251524, 377346, 503168, 628990?\n\"Answer: 125822*c - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15 - 15 - 3*i + 6. Let x(f) = f + 8. Let g(s) = -2*k(s) - 7*x(s). Suppose 2*c + c + c = 0. What is g(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20571.13s in microseconds?\nAnswer: 20571130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 6:44 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 145*l - 42*l - 11 = 57*l + 51*l, 0 = 22*k - 4*l - 136 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/3399)\/((2\/12)\/1).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 56*s + 60.\nAnswer: -4*(s - 15)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510*a - 510*a + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -5. Let r(p) = p**2 - 8*p + 8. Let b(h) = -1 + 9 - h - 7. Let t(v) = a*r(v) + 24*b(v). Let n(z) = z**2. Determine n(t(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517 divided by 578?\nAnswer: -1517\/578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -654*d**4 - 34*d**3 + 245*d**2 + 15*d + 18?\nAnswer: -15696*d - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 8:13 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {s: 1, y: 3, u: 1, z: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240401 is divided by 621.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + 22. Let o = 44.8 - k. Which is the smallest value? (a) -3 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/861)\/(-3*(-3)\/27).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*b + q, q - 15 = 5*b + 6*q. Let c(x) = -x - 4. Let g be c(b). What is the second derivative of g*r**2 + 3*r + 2*r**2 - 5*r - r wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 19, 5, -333, -5, -6 in descending order.\nAnswer: 19, 5, 0, -2, -5, -6, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*k - 250, 138 = 3*x - 7*k + 4*k. Let u be (-6)\/(-39) - x\/(-26). Solve -3*m - 17 = -3*g - u, 5 = -m + 4*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1909 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 9*k**2 - 17*k + 3. Let w be g(-10). Suppose 5*z - 152 = w. Suppose -88*i + z*i = 0. Sort 21, -5, 1, i in ascending order.\nAnswer: -5, i, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:00 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000973715 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(750\/600)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 6*u + 9. Let f(j) = 2*j**2 + 17*j + 27. Let s(r) = 17*c(r) - 6*f(r). Find the first derivative of s(h) wrt h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 6*q - 6*q)*(-77*q**2 - 4886*q + 4886*q).\nAnswer: -154*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {k: 1, y: 1, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46 - 199.\nAnswer: -199.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -887, -880, -861, -824, -763, -672, -545?\n\"Answer: h**3 - 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/(8\/80). Solve 0 = j*z - z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, 2, 7, -4, 4.\nAnswer: -5, -4, 2, 4, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -785961657 divided by 34371\nAnswer: -22867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, d: 4, q: 1, c: 2}. What is prob of picking 1 p, 1 c, and 2 d?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 bigger than 35\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/35 + (-6)\/21. What is the nearest to 1\/3 in -0.5, 8, -2\/31, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35740 is divided by 1985.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -0.519119?\nAnswer: -3.519119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 85\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 47 = 18. Let a be (-64)\/(-14) - ((-93)\/21 + d). Solve a*x = 5 + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 3 + 2 - 6 - b**3 + 13 in the form i + g*b**2 + w*b**3 + r*b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 2*d**4 + 13*d**4 + (d + 2*d + 3*d)*(5 - d**3 - 5) + (-3*d + 4*d + 0*d)*(2*d**3 + d**2 - d**2) + 7*d**4 + 7*d**4 + 2*d**4.\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elaalegfffeezzzg. What is prob of picking 2 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -966082*g**3*w**2 - g**2*w**2 + 5*g**2 + 5*g*w - 565*w**2 wrt g.\nAnswer: -5796492*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(10)\/(sqrt(605)*-2).\nAnswer: -3 - sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**3 + 48*n**2 + 69*n + 18. What is u(8)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -551, -2187, -4921, -8759, -13707, -19771, -26957, -35271?\nAnswer: -44719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 65 (b) -5 (c) 6 (d) 2 (e) -2\/23 (f) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4898 is divided by 1601?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 3*n - 18 = -35*m, 16*m = 2*n - 54 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {i: 1, u: 1, p: 1, o: 2, g: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 8*r**2 + 196*r - 1361. Give s(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7159, 14319, 21483, 28651, 35823, 42999?\n\"Answer: 2*s**2 + 7154*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 2*d**3 - 2*d**3 + 5*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13311203 (base 4) in base 11?\nAnswer: -22131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**2*x + 29832663*g**2 - 2*g + 43516128*x**2 - 2 wrt x.\nAnswer: 2*g**2 + 87032256*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 1\/21, 0.4, 2, 37, -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 223780*-0.044\nAnswer: -9846.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 490043014 to the nearest integer?\nAnswer: 22137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/93)\/((-7)\/(-3))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18070595 divided by 5?\nAnswer: 3614119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 184394877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 14*c**2 - 33*c + 3. Let z be g(11). Solve m - 4*m = -z*l - 12, -14 = 3*l - 5*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 204*y - 53. Let z be c(1). Let a = 135 - -17. Is a less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/2034 and 45\/4.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6199992 - 6199992 + 38*u**2.\nAnswer: 38*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -140.9. Which is the nearest to -2? (a) i (b) -0.5 (c) -4.5 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795435184.\nAnswer: 2, 49714699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + 5*t**4 + 0*t**4 + 4*t**4 - 4*t**4 - 2*t**4 + (-t**4 + 2*t**3 - 2*t**3)*(-3 + 4 + 2).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.01 (b) -0.039 (c) -2\/13 (d) -107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -2. Let w = -16 - f. Let q(u) = 8*u**2 + u + 9. Let h(l) be the first derivative of -l**3\/3 - l + 1. Give w*q(d) + 18*h(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**37\/((q*q*(q*(q\/q**(-4))\/q)\/q)\/q**(8\/7)) assuming q is positive.\nAnswer: q**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 7*o - 2. Let k(g) = -4*g**2 - 14*g + 5. Let p(a) = -k(a) - r(a). Calculate p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 210213 = -12*y - 115803. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -189974.\nAnswer: -1139844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-168)*-14*(-18)\/(-288)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*v**2 + (-2*v**2 + 5*v**2 - 5*v**2)*(3 + 0 - 4) + (-v - 4 + 4)*(-1 + 1 + 2*v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4488418?\nAnswer: 2, 11, 204019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 90)\/(-2 - 0). Let u = v + -33. Let o = -10 + u. Solve -4*a + 4*g - 6 = -3*a, -3*a - 4*g + 14 = o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*j + 33271, 2*a + 33*j - 31*j - 13310 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/126*-3*(-1)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 25*r**4\/12 + 5*r**3 + 7*r. Find the second derivative of g(n) wrt n.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134173?\nAnswer: 13, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/4968 and 91\/18.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 8*g + 6. Let s be n(9). Suppose 2*u = -u - s, 160 = 5*i - 2*u. Solve -3*h - 4*v = -2*h + 21, 2*h + 5*v = -i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 16*m + 16. Let c be h(8). Suppose 120 = 6*y - c. Calculate the remainder when y is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-10*9\/(-36))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18*((-24)\/(-9))\/(-4). Let u be (-3)\/12 - 27\/r. Factor -x + 10*x**2 - 9*x**2 + u*x.\nAnswer: x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59909000 to the nearest 100000.\nAnswer: 59900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*q + 5*u, q = 3*u - 30 + 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 1217*z = 1220*z + 38, -2*v + 5*z + 70 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 89*s. Let o(d) = d**2. Determine o(x(f)).\nAnswer: 7921*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.63703 - -6.64. What is p rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*z - 70, 5*z - 14 = 4*z - 3*k. Let f = z + 135. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1068, -2148, -3230, -4314, -5400, -6488?\nAnswer: -7578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40592 rounded to 3 dps?\nAnswer: 0.406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:35 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*o = o + 3, 3*o - 9 = 0. Suppose 0 = 9*f - c*f + 27. Which is smaller: f or -16\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/61, 2, 0.02?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)\/((-12)\/64212) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/9 (b) -2 (c) -192\/7 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -7934.\nAnswer: -87274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k - 6. Let v be x(3). Find the second derivative of w**5 - 5*w + 2*w**5 + v*w + 0*w**5 wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + c)*(2 - 2 - 4*c) - 3*c**2 - c + c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*4234\/(-73)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2 + 4*y + 19. Let k(m) = -12*m**2 - 7*m - 38. Let s(u) = -7*i(u) - 4*k(u). Determine s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(270) + sqrt(270))*-1)\/(sqrt(9)*1*-6))\/((sqrt(120)*-2*-5)\/((sqrt(12) + sqrt(48)\/sqrt(4))*-3)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 < -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10976 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/((-57)\/(-266))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 3, 1 = -28*z + 26*z - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9729 by 207.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3801 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3981, -15986, -36013, -64062, -100133?\nAnswer: -144226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 17 + 3. Let s = a - 1. Let g(q) = -3*q**3 - 2*q**2 + 3*q**s + 0*q**2 - q**3 + q. Calculate g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 - 1329\/10. Let t = -2 + 2.06. Let z = -0.44 - t. What is the third biggest value in 4\/9, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, 33717, -0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 1. Let q(s) = -3*s**2 - 7*s. Let d(x) = -q(x) - 2*v(x). Suppose -5*l - 17 = 18. Let p be d(l). What is the nearest to -0.2 in p, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -279*g*h*u**3 + 9*g*h*u**2 - 6*g*h*u + 2*g*u**3 + 2*h*u**2 + u**3 wrt u.\nAnswer: -1674*g*h + 12*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1375))\/(sqrt(5) + sqrt(5) + (sqrt(5) - (sqrt(45)\/sqrt(441) - sqrt(5) - sqrt(5)))).\nAnswer: 105*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*x - 18, 0*v - v = 3*x - 27. Suppose -2*s - 35 = -x*s. Suppose -3*z - 9 = -5*n, -5*z = 2*n + 4 + 11. Solve n = s*c - 2 - 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029751156 to 4 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 - (-1392)\/9. Let k = d + 34. What are the prime factors of k?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109343820 by -155.\nAnswer: -705444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56\/5 - 11. Which is the biggest value? (a) -0.3 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21752885*p + 21752885*p + 445*p**3.\nAnswer: 445*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1230 + -1227. What is the closest to -2\/3 in -1, 7, u, 0.16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 9*a + 10. Let t be q(-13). Let m = t - -63. What is the remainder when 90 is divided by 0 + (3 - 1) + m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -777 - -767. Sort 0, z, 9.\nAnswer: z, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 at least as big as 4608096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 360*t**5 - 841*t**5 - 285*t + 479*t**5 + (-t**2 - t**2 + 0*t**2)*(-1 + 1 + 2*t**3).\nAnswer: -6*t**5 - 285*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*x**3 + 5*b**3*x + 17*b**3 + 2*b**2*x - 2347*x**5 - x wrt x?\nAnswer: -6*b**3*x - 46940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54179?\nAnswer: 17, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5486604?\nAnswer: 2, 3, 23, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-8) - 1702\/(-2296). Let o be (148\/(-54530))\/((-4)\/3245). Let a = o - d. Find the common denominator of 22\/3 and a.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2. Let a(s) = -s**2 - s. Let k be a(-1). Let u(g) be the second derivative of 0*g**2 - 1\/3*g**3 + g + k. What is j(u(l))?\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p + 0 + 0*p**4 + 2*p**2 + 0*p**5 - 1\/120*p**6 - 1\/6*p**3. Differentiate h(j) wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 0*q + 2*q)*(1 - 4 + 4) - 7*q + 7*q + 14*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-122)\/549)\/(((-100)\/(-35))\/((-24)\/(-140))).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23766 + -7521. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 797 divide 7258628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((16\/14)\/(-4)). Let q = 18 + z. Suppose 4*c = -q*b + 8, 2*c = 6*b - b + 32. 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: Suppose -4*c - 27 = -3*y, c + 5 - 2 = 0. Suppose 0 = -p + 2*i - 6, -i + 3*i - 18 = -y*p. Find z such that -4 - 2 - 189*z - 3*z**p + 180*z = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2852027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.7 + 12. Let i = 1513\/63 - 220\/9. What is the biggest value in d, i, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472443110.\nAnswer: 2, 5, 3469, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 - 13*r - 4. Calculate h(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 21 + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*q + 4, -4*m - q + 16 = -0*q. Suppose -3*a + m = -68. Suppose 5*v - a = -9. Solve -2*s + 2 = -v*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccqcvqqqqcqcqqcccvq. What is prob of sequence cqcv?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 624867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n. Let w(o) = 2*o**2 - 41*o. Calculate w(b(p)).\nAnswer: 72*p**2 - 246*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-12)*2912\/(-14040)*6\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in -0.1, 173, 0.85?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120826695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-4*sqrt(209))\/sqrt(11))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4))**(-5\/4)*(z\/z**4)**(-19) assuming z is positive.\nAnswer: z**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5145 - 5111. Solve 0 = 5*h - 4*p + 21, 2*p - j = 13*h + 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44235654 divided by 3\nAnswer: 14745218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 158\/7 + (-12)\/(-28). Let r = -2 + c. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*s - 31, 4*z + 57 = 6*z + 3*s. Suppose -z = -f - 4. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36991845?\nAnswer: 3, 5, 11, 74731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31691, 63826, 95961, 128096, 160231, 192366?\nAnswer: 224501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0.335\nAnswer: 3.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(-5 + -1*sqrt(3)*5)*5.\nAnswer: 200 + 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssshsshssssbs. What is prob of picking 1 s and 1 h?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -2*sqrt(117))*4 - (6*1*sqrt(117) + sqrt(117) + sqrt(117)))\/(6*(sqrt(270)\/sqrt(6))\/sqrt(5)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 - 168. Let b be (-9 - -5) + -1 + 1. Let x(r) = -4*r + 4. Let l be x(b). Solve -l = 3*a + i*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.023, -13, -2\/9, 60, -27?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 - 38. Let y(j) = -4733795*j. Calculate l(y(s)).\nAnswer: -67226445306075*s**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 525*o**2 - 3285*o - 4995.\nAnswer: 5*(o - 111)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 197*o**2 - 287*o + 1174. What is d(-100)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**5\/36 + 4*n**4\/9 - n**2 - 136*n + 173. Let a(u) be the second derivative of i(u). Factor a(z).\nAnswer: z*(5*z + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -962400 divided by -2005?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 115. Give s(24).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3087, 6051, 9031, 12027, 15039?\nAnswer: 18067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 5*n**2 + 10*n - 15. Determine r(6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i + m + 40, 5*i - 106 = 4*m. Suppose 2*j + 5*l - 22 = -j, -4*j = l - i. Calculate the smallest common multiple of 22 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34213692 by 11404564.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a factor of 26726334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*n**2)*(6 + 0 - 5)*(-2*n + 49 - 42 + 0*n).\nAnswer: 6*n**3 - 21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**2 - 3820*b + 19225 = 0.\nAnswer: -769, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 749.0492 milligrams in nanograms?\nAnswer: 749049200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 319 + -217. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c**3 + 5*c**2 - 9*c - 178. Let b(a) = -7*a**3 - 3*a**2 + 5*a + 89. Let d(u) = 5*b(u) + 3*r(u). What is the first derivative of d(y) wrt y?\nAnswer: 21*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 0.13.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3133 - -1.33. Let x = -0.001 - k. What is x rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 3639.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88982 = -948*f + 946*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-8)\/32 + ((-1072907)\/(-44) - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 5:36 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -79. Let n = -5.88 - -2.8. Let f = -0.08 - n. Which is the closest to -0.1? (a) f (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 30. Suppose 19 = 3*d + i, -d = i - 3*i - 18. Calculate the remainder when w is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 123*a**4\/2 + 70*a**3\/3 - 251. What is the third derivative of t(j) wrt j?\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-260)*13 - (-166)\/10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s - 32 + 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -144. Let n = d - -84. Sort -3, 0, 1, n in descending order.\nAnswer: n, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 - 7)*(1 - 1 + w)*(134*w - 29 + 29).\nAnswer: -1206*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37057302, -74114613, -111171924, -148229235, -185286546, -222343857?\n\"Answer: -37057311*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 172?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*m - 11*m + 31 - 7*m)*(11*m**2 - 76*m + 76*m) to the form a*m + t*m**2 + u*m**3 + j and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1034 = 3*y, 5*m = y - 3*y + 680. Suppose r + 81 = y. What are the prime factors of r?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. What is the third derivative of 13*a**s - 17*a**2 - 2*a**3 + 3*a**3 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.96 + -14.46. Suppose -1 = 3*c - 16. Sort -53, k, c, -0.4.\nAnswer: -53, -0.4, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21498?\nAnswer: 2, 3, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(16\/((-160)\/55)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8765 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/8 of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*j - 9*j - 14*j + 33*j in the form r*j + x and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 8*q + 10. Let v be u(8). Suppose 2 - v = -4*r. Solve -y - 6 = d + 2, -r*d = 5*y + 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 1. Let k(z) = 8*z + 6. Let u(q) = 6*j(q) + k(q). Let g(d) be the first derivative of -3*d**2\/2 - 2. Determine u(g(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 29*l - 45 = 0. Suppose -3*t + 4 = -4*m - l, 0 = -4*t + 2*m + 22. Solve t*o + 14 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = d + 2*d - 23, -3*d = -4*k + 13. Differentiate 3 - q**k - q**4 - 1 with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -98, -174, -270, -380, -498, -618, -734?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**3 + u**2 + 10*u - 17. Let p be v(6). Suppose -p = -16*c + 377. List the prime factors of c.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 6?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.1 (c) -239\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123369 or -123368?\nAnswer: -123369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1168 (base 10) to base 15\nAnswer: 52d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1402*c**3 - 49*c + 11*c + 1361*c**3 wrt c.\nAnswer: -246*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 19*y**3 + 30*y**3 - 13*y**3 + y**2 - 1 - 2*y**4 as b*y + u*y**3 + q + m*y**4 + s*y**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113712080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 20 + (-71 - -68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -0.5, -7, 1, -2.57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 1. Let l(r) = 2*r**2 + 7*r - 3. Let x(s) = 3*g(s) - l(s). Let p be x(6). Let j = p - -17. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6194103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Let c(r) = 1973 + v*r**3 - 1973. Let i be c(1). Solve 0*k = -i*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 408\/32837 or -1?\nAnswer: 408\/32837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(567)*1 - sqrt(567)) + (sqrt(315)\/sqrt(5) + sqrt(7))*-3 - (-1 + (0 + sqrt(448) + sqrt(448) + 0 - sqrt(448)) + -5).\nAnswer: -20*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 1, 0.3 in decreasing order.\nAnswer: 1, 0.3, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (11 - 5) + 3*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4560)\/3876*306\/225\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.329 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*29720404\nAnswer: 14860202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -16, 7.\nAnswer: -16, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 466508*i**2 - 12*i.\nAnswer: 4*i*(116627*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 15. Suppose p - w = -1. Suppose p*m - 91 = 2*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30804031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*i - 0*m - 20, 4*i - 5*m = 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -10030?\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 432215686 to the nearest ten thousand.\nAnswer: 432220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 441 - 387. Solve 57*v = o*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*l - 18, 5*l - a = -771 + 777. Factor 0 - 1\/2*t - 3\/4*t**l.\nAnswer: -t*(3*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2 - 5*k + k + 1 - k**2 + 0*k. Let h be l(-5). List the prime factors of (4\/h)\/((-2)\/18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(99\/189 - (-16)\/(-24))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.148 - 0.048. Sort -4, -0.5, 2, c in ascending order.\nAnswer: -4, -0.5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 473*d + 39. Let k = 296 + -292. Is t(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*r = -835*r + 385*r - 75072 for r.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(((-247)\/208)\/(-19)). Solve 11*l + v = -14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 560 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -91616115, -183232202, -274848287, -366464370, -458080451, -549696530?\n\"Answer: u**2 - 91616090*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((200\/(-15))\/10)\/((-2)\/3). Let z(m) = -2 + 5*m - m - h*m - m. Let g(y) = -2*y + 4. What is 3*g(t) + 5*z(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, w: 3, y: 4, b: 1, n: 1}. Give prob of picking 2 w and 1 n.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, 2746349 in decreasing order.\nAnswer: 2746349, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388 + 86. Let y = 314 + w. What is the remainder when 20 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166659 - 171942 = 2299*m + 3362*m - 395892 for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2493*m + 2671*m - 5048*m.\nAnswer: 116*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 528*q**2 + 33*q + 33. Let z(l) = -33*l**2 - 2*l - 2. Calculate 2*b(n) + 33*z(n).\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5987*m + 5991*m - 11979*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9571, 25110, 51009, 87268, 133887, 190866, 258205?\nAnswer: 335904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 5*s + 11. What is n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 5*t. Let w(b) = 4*b + 10. Let i be w(-4). Let l be d(i). List the prime factors of l*(0 + 13\/(-2)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j + 36. Let y = j + 11. Suppose -2*z - 4*m = -996, -499 = -z + m - y*m. Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82146 and 0.58?\nAnswer: -47644.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 6*r + 7. Calculate m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 2709.\nAnswer: 13545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1\/3, 2.5, -0.1 in increasing order.\nAnswer: -1\/3, -0.1, 2\/7, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55 and -19.588513?\nAnswer: -1077.368215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64933.029 microseconds to weeks.\nAnswer: 0.0000001073628125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*d, 3*q - 6*q - 2*d = -16. What are the prime factors of (5 - (-61012)\/42) + q\/6?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.4, 10, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101126 times -17?\nAnswer: -1.719142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 606543491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 469564 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: Suppose -4*c + 6*c = 10. Suppose k + 153 = -c*r - 52, -3*r - 131 = -k. Calculate the smallest common multiple of 8 and 2\/4 + r\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Solve -4*p + i = 0, 4*p - 11 + 1 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4484 divided by -4\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94\/127 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2040*r**2 + 161153*r + 546. Calculate g(79).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, q: 10, y: 1}. What is prob of sequence qwqw?\nAnswer: 45\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4410310870 to the nearest 100000.\nAnswer: 4410300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -1\/10529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135.84987517 - 135.85. What is c rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -0.8, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + ((-4)\/(-8) - -1))*4. Suppose h*f = f + 959. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -287*d**2 + d - 1. Let q be b(-1). What is the units digit of (2 - q)*(28\/(-21) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*f + 17, -5*f - 3*r = -3*f - 19. Sort -30, f, 1\/10 in ascending order.\nAnswer: -30, 1\/10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 9\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) 12 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 639 + 436. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -352 + 387. Suppose -2*a = -5*j - 52, -5*a + g = -5*j - 65. Calculate the lowest common multiple of 8 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 13*i - 32. Let r be h(7). What is the second derivative of -86 - r*o**5 - 87 + 174 + 7*o wrt o?\nAnswer: -200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25492 - -7*14\/49?\nAnswer: 2, 3, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(-3 + sqrt(612) + sqrt(612) + 1 + sqrt(612) - (0 + sqrt(612) + 0))*3)**2*-2.\nAnswer: -705992 + 12672*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -47*y - 1. Let u be f(1). Let k = -30 - u. What is the highest common factor of k and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4852 divide 244715472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 2301*d + 11495. Let k = 93 - 56. What is the remainder when b(5) is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(3 + v - 3) - 196 + 196 + 3*v + (3*v - v - v)*(-1 - 2 + 1).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12568565 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, u: 1, o: 2}. Give prob of picking 1 h and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7966, 8256, 8514, 8734, 8910?\nAnswer: 9036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*h + 53, -5*h + 2*a - a = -50 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 9*i**4 - i - 35*i**3 - 2*i**2 + 0*i + 10*i**4 - 21*i**4 + 4*i**2 in the form g*i + k + v*i**2 + w*i**4 + j*i**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) - (sqrt(153) + (1*sqrt(153) - sqrt(153)))) - sqrt(153)*-2*-6)\/((2*sqrt(4032))\/sqrt(7)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-6)))**(-2) assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 50. Let w(m) = -19 - 19 + 37 + 5*m**h. Let n(t) = 2*t. What is n(w(x))?\nAnswer: 10*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/27)\/g**1)\/((g*g**(-1\/4))\/((g\/(g\/g**(1\/6)))\/g*g)) assuming g is positive.\nAnswer: g**(-163\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43418 and 11.\nAnswer: 477598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(64)\/sqrt(2))**2 + 1.\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10584)\/(-840))\/((1\/2)\/(45\/21))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174336*g + g**2 - 14*g**4 + 174336*g + g**3 - 18 to r*g**3 + f + w*g**2 + p*g**4 + n*g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1323) + (5 + -2*sqrt(1323))**2 + ((sqrt(192) + sqrt(192)*2 + sqrt(192))*-5 + -4)**2.\nAnswer: 881*sqrt(3) + 82133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2320 = -135*k + 3 - 518 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2. Let d(z) be the third derivative of z**5\/60 + 10*z**3 + 57*z**2. Let y(s) be the first derivative of d(s). Calculate u(y(b)).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35888 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 1:32 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3099392, 6198766, 9298128, 12397478, 15496816, 18596142?\nAnswer: 21695456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h + 16 = 0. Determine f, given that 4*f**h + 1\/2*f**2 + 0 + 0*f + 7\/4*f**5 + 11\/4*f**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/4*(-89)\/(-1246).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r**3 + 0*r**3 + 0*r**3)*(4 + r**2 - 4).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 41. Let g be p(19). Suppose 20 = -3*v + 5*v + g*l, -4*v = 3*l - 46. What is the remainder when 37 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 6*n**2 + 2. Let d = -7 + 1. Give y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 - 32*i**2 - 27*i - 376. Give q(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-96))\/(1 - 32\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227879570 a multiple of 2186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023222 to 5 dps.\nAnswer: -0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11932 and 439187090?\nAnswer: 5966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**3 + 163. Let a(v) = -10*v**2. Determine a(z(j)).\nAnswer: -90*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.034\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -10626.89805 to the nearest 100.\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*z - 8 = 0, u + 12 = -0*z + 4*z. Suppose 2*n + 3*n - 10 = 0. Let w = -151\/1440 - 1\/160. Which is the second biggest value? (a) u (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -1\/34*g**4 - 3\/17*g**2 - 18\/17*g + 2 + 10\/51*g**3. Solve k(d) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 9. Let j be o(-7). Let r be 0\/((-2)\/(-4)*j). Suppose r = 5*n - q - 81 + 14, 4*n = -3*q + 65. What is the remainder when 27 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 7*u + 2. Let y(t) = 2*t**2 + 4*t + 1. Let s(z) = 3*o(z) - 5*y(z). Let p(h) = -h**2 + 4*h + 12. Let d be p(-2). Give s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 293, 15, -20 in decreasing order.\nAnswer: 293, 15, 4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 36 = 33 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*c**5*o**2 - 2*c**3*o**2 - 19*c**2 - c*o**2 wrt c.\nAnswer: -3180*c**2*o**2 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2713\nAnswer: -4\/2713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.023 in -23\/4, 1\/10, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 575623.\nAnswer: 3\/575623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.72 equal to -1\/528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000146565603 rounded to 7 dps?\nAnswer: -0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/11 in 0.5, -1\/9, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4503978 < -4503981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2\/8) + -43 + (-44)\/((-3696)\/5901)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 22) + 18 + (-7 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 3)*(-1853447 + 1853447 + 23319*b)*(b - 6*b + 3*b) in the form w*b**2 + j + v*b and give w.\nAnswer: -186552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(1*sqrt(6)) + sqrt(36)*1)\/(4*-2*sqrt(200)).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-6)*(-124)\/(-217))\/(1\/36)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 y when three letters picked without replacement from yyqqqqsyqqqs.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u - 120. Let y be g(10). Factor y*k + 0 + 1\/5*k**2.\nAnswer: k**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-12)*1*9\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 189*l**2 + 926*l - 1096. Calculate c(184).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 435 = -3*t, t - 31 - 97 = -4*z. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3123812073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6*j - 30459 = 0. Is 63 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 25, -2*r - 1065 = 3*q - 8*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-4*u + 3*u - u) + (-2 - 1 + 1)*(-10 + 2*u + 10).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - 46. What are the prime factors of b?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16151 + -16283.63. Let g = d - -129. What is g rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -31*d**2 + 12*d + 80. Let n(x) = -29*x**2 + 10*x + 60. Calculate 4*n(k) - 3*t(k).\nAnswer: -23*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12289 = -46*o + 12933. Solve o*u + 6 = 11*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.552 rounded to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*t**2 + 41*t**2 + 538 - 172*t**2 + 43*t**2 + 44*t**2 to the form h + r*t**2 + k*t and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z**2 + 2*z**2 - 21*z**2)*(z - 26*z**2 - 29228 + 29228 - 6*z**3).\nAnswer: 168*z**5 + 728*z**4 - 28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 31*f - 27*f = 18, 3*l + f - 17 = 0. Solve w + 4*w - 4*i - 24 = 0, -2*w - l*i + 3 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f**2)*(f**2 + 4*f**2 - 3*f**2) - 15*f**2 - 6*f - 1415*f**4 - 4*f + 1418*f**4.\nAnswer: f**4 - 15*f**2 - 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n + 80 = 16. Sort -192, n, -1 in decreasing order.\nAnswer: -1, n, -192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**10\/5040 - v**6\/360 - v**3 + 1. Let t(z) be the third derivative of r(z). What is the third derivative of t(h) wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37913 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n - 4. Let d be j(5). Find the third derivative of -7*c**6 - 2*c**2 + c**d + 3*c**6 + 3*c**2 wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 9\/12 - (-390)\/24. Solve -k*g = -14*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2\/4 + 144*b - 573\/4 = 0.\nAnswer: 1, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020181 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1224925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 350630479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o**3 - o**5 + 12*o**3 + (-o**2 - 2*o**4 + o**2)*(-2 + 2 + 2*o).\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954230385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjjrjrjrrjrj. Give prob of picking 4 r.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**3 + 0*d + 0*d)*(546 + 690 + 725) in the form c + p*d**3 + f*d**2 + h*d and give p.\nAnswer: 5883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -273 divided by 157\nAnswer: -273\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 4)*(-3*q**3 + 325631*q**4 + 5*q**3 - 327839*q**4) + (-4 + 4 - 1)*(-3*q**4 + 3*q**4 - q**4) to i*q**3 + r*q**2 + p*q**4 + o + u*q and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1784, 14228, 47994, 113738, 222116, 383784, 609398?\nAnswer: 909614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 268 = -136. Suppose 0 = -6*d + 3*d - p + 602, 0 = 2*d - 2*p - r. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12295367 is divided by 6147521?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26084097.3 from -0.4.\nAnswer: -26084097.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 14 + 0 - 3 + 0 + 5 + (1 - 1 + 1)*(-1 - 2 + 4) + 0 - 2 + 0)*(a + a - 4*a) in the form s*a + o and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1005 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - w**3 + 4*w + 3*w**2 - 2*w**2 - 4*w**2. What is the remainder when q(-4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((6*(-1*sqrt(156) - sqrt(156))*-3)\/((6*sqrt(324))\/sqrt(3)) + -1)*-6.\nAnswer: -12*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -28*d + 1138. Calculate the remainder when 1031 is divided by q(36).\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -40, -58, -74, -88, -100, -110?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 63 = -v, -2*v - 4*k = -4*v + 154. Let y = -33 + v. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5543, -10984, -16415, -21830, -27223, -32588, -37919?\n\"Answer: j**3 - j**2 - 5445*j - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 times 2?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 w when four letters picked without replacement from wuwukuwuuuukuw?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 4\/19, 215, -8?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**16*i)\/i)**(1\/9))**(-41) assuming i is positive.\nAnswer: i**(574\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-4)))**(-15)\/(((c*c\/((c\/(c*c**3\/c*c))\/c*c))\/c)\/c**(-4\/13)))**(-6\/29) assuming c is positive.\nAnswer: c**(-4344\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 994, 949, 906, 865, 826?\n\"Answer: c**2 - 48*c + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1757916, 7031650, 15821202, 28126572, 43947760, 63284766?\nAnswer: 86137590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 3*h - 4. Let b be f(4). Suppose c - 2*a + b*a = 18, c - a = 14. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 103. Calculate the remainder when 361 is divided by a(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-179837)\/91 + ((-20)\/26 - -1). Which is smaller: s or -1977?\nAnswer: -1977","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164636.5 * 2.96\nAnswer: -487324.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (193 - 193 + 6*v)*(0*v + 4*v - 2*v) - v**2 + 0*v + 0*v**2 - 2 - 3*v + (v + 5 - 5)*(-3*v + 23 - 23) to the form x*v**2 + q*v + u and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**6 - 128*y**2 wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -0*c. Suppose -171 = -3*r - 2*j, 3*r - 2*j + j - 180 = c. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/42)\/(60\/(-180)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -665620 divided by -5?\nAnswer: 133124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -16*(-2 - (5 - 1)) and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66837 + 589*d - 66837)*((-1 + d + 1)*(-5*d**2 + 3*d**2 + d**2) + (0*d**2 + 0*d**2 + 2*d**2)*(-6*d + 3*d + 0*d) + 3*d + 3*d**3 - 3*d).\nAnswer: -2356*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = -0*z. Let d be 3\/(z\/(-4)*2). Let f = -17 + 16. Which is the closest to f? (a) -1 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2410*j = 2390*j - 186 - 114 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27726564 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -217, -5 in ascending order.\nAnswer: -217, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.018 times 133\nAnswer: -135.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 0, 5*k = v - 5*v + 22. Suppose 3*j + 31 = 67. Let b(o) = o**3 - 9*o**2 - 36*o + 1. Let w be b(j). Solve 0 = -z + w - v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 3463.9.\nAnswer: 3463.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 9\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 56*x - 60*x + 33, -x = -2*z - 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:41 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 - 12*i**2 + 45*i - 19. Let v be j(4). Solve -2*y = 21*y + v for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -9. Let z = j - -20. Is (-3442)\/(-18) - z\/54 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 4*t**2 - 5*t + 5. Let m be w(2). Suppose m*d - 24*d - 99 = 0. Calculate the greatest common divisor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a - 1. Let r(w) = -9*w + 4*w - 7 + 9 - 3. Give 3*j(y) - 2*r(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i**2 - 7*i. Let v be s(-3). Suppose -3*k + 45 = -v*j, k - 50 = -3*k + 2*j. Suppose k + 6 = 4*a. Solve -a + 1 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -15, -4, -24.38, 5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 0 - 8\/33*q**3 + 0*q + 7\/330*q**5 + 1\/1155*q**7 + 3\/44*q**4 - 85*q**2 - 3\/220*q**6. Determine v so that l(v) = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 1179025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3805887299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1654 times 0.06?\nAnswer: -99.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d = -23*d - 168. Find the common denominator of 25\/34 and 5 + (-7)\/d*-34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14872 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39185991 divided by 13061997\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {x: 11, d: 2, q: 1, l: 4, w: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/9 and 75\/22132.\nAnswer: 199188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8673*k - 7136*k + 3*k**3 + 15809*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 818031 times 0.0028?\nAnswer: 2290.4868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 380*u**2 + 27*u + 35. Is k(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13028519 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Suppose -15 = -2*u - 3*u. Suppose -u*v = c*s + v - 37, -5*s - v = -56. What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 62488*d + 935. Is u(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvw when three letters picked without replacement from {w: 4, m: 2, a: 2, v: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*a**5*n - 43930*a**3*n**2 - 9*a**2*n + 2*a**2 - 9*a - 196*n**2 - 6 wrt a.\nAnswer: -900*a**2*n - 263580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:21 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12998432 and 160.\nAnswer: 64992160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 479783931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcp when three letters picked without replacement from bcbbyypbfpfpc?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -8 + 13 - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4667 * -6.4\nAnswer: -29868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55397418.\nAnswer: 2, 3, 1021, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 5*s**3 + 4*s**3)*(21 - 24 + 3 - 2901*s**2)*(-3 - 3 + 5).\nAnswer: 2901*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22594\/1027 - 18156\/825?\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is the nearest to 1 in 5, 4, -0.29, -2\/11, 35853?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 561.0003644 + -561. What is z rounded to six decimal places?\nAnswer: 0.000364","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 986935 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1455, -1384, -1301, -1200, -1075, -920, -729?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - 1.6. Let n = 1279 + -1280. Which is the nearest to n? (a) k (b) 1\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 2. Suppose -6*g + g - 4*n - 23 = 0, -g - 4*n + 5 = 0. Let d = 6 + g. What is the smallest common multiple of 10 and v(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51, -298, -545, -792?\n\"Answer: -247*d + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 16*h**2 - h + 21. Let q be p(16). Suppose -780 = -q*k + 5*g, -2*g = 3*k + 2*k - 773. Calculate the remainder when k is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 3. Give i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3480*z - 43*z**3 - 3480*z)*(1 + 3 - 3)*(-3*z + 26*z + 5*z) + z**4 + 0*z**4 + 7*z**4 to the form l*z**2 + d*z + k*z**4 + m*z**3 + s and give k.\nAnswer: -1196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 + 20*n**2 - 55 + 3 with respect to n.\nAnswer: 40*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 66 = -4*p. Solve -4*h + p = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111.19 - -112. Let b = z + -7.81. What is the nearest to -1 in -0.5, -4\/5, b?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 18 + -51 + -9 + 77\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4896*c**5 + 4247*c**5 + 4542*c**2 - 3092*c**5 wrt c?\nAnswer: 363060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1575 = -3*g, 4*g - 3154 = 31*t - 33*t. Let w = 17406\/11 - t. Find the common denominator of w and -38\/341.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564 divided by 4?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -47107.592 rounded to the nearest 10?\nAnswer: -47110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2040 and -45\/68.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x = -62*x - 60. Let r be (-59)\/(-68) + 105\/x + -6. Sort 5, r, -3 in descending order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-26)\/(-6))\/(2\/(-72)). Suppose -2*t = o - 3, -13 = -4*t + 3*o - q. Let b(k) = 12*k**2 + k. Determine b(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 5*p**2. Suppose a + q - 6 = -3, a - 3 = -5*q. Let d(h) = -4*h**2 - h**3 + 4*h - 4*h. Give a*t(l) + 4*d(l).\nAnswer: 2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrqyg. Give prob of picking 1 q and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6022807985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - 145*h - 11. Let i(o) = -o**2 - 48*o - 3. Calculate 7*i(g) - 2*j(g).\nAnswer: g**2 - 46*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32132.574 rounded to the nearest ten?\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2 - 147*b + 707. Determine i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*q - 51, -3*q + 5*s - 6*s = -17. Solve q*r - 7*r + 4 = -4*j, -j - 3*r - 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 + 54*w**3 - 316*w**2 + 144*w + 512 = 0.\nAnswer: -32, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 4:07 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 47 = -5*i, 18*i - 30 = -48*v + 51*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/437 and -3\/1757131?\nAnswer: 33385489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}