diff --git "a/data/dm_maths/full_data_1/10878_11255.jsonl" "b/data/dm_maths/full_data_1/10878_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10878_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify 3*(1 + -2 + sqrt(567) + sqrt(567) + -1 + 2 + (-2*2*sqrt(567) + sqrt(567) + sqrt(567) - sqrt(567)))**2*-1.\nAnswer: -1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*k - 53*k + 80. Suppose k*v - 3992 = -1022. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 0.8745?\nAnswer: 10.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 11 (b) -13 (c) -2\/3 (d) 0 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -219, -239, -279, -345, -443, -579, -759?\n\"Answer: -k**3 - 4*k**2 - k - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 356*b - 1440.\nAnswer: (b - 360)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57815492.\nAnswer: 2, 7, 97, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51\/17 + -2*3. Let z(s) be the first derivative of -2\/3*s**3 + 10 - 5\/2*s**2 - 4*s. What is z(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x + 4*x, 26 = 4*p - 2*x. Suppose 0 = 5*n - 5*m - 575, m = -2*n + p + 226. Suppose 5*c - 69 = n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 = -1. Suppose 5*w + 3*n - 2 = 4*n, 2*n = g*w + 2. Solve k + w = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409517 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4*x - 10, -132239 = -4*x - 2*z - 132223 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 110 = -21*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1, -85983 in ascending order.\nAnswer: -85983, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q + 18 - 66 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 + 3*c**2 + 2*c + 3. Let m be p(-2). Suppose -49*w + 185 = 38. Suppose w = -3*v, 4*n - 4*v = -v + m. Which is greater: n or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15445757*0.8\nAnswer: -12356605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5324).\nAnswer: -2 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46.925 + -47. Let u = -1.075 - y. Which is smaller: 10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347170601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 18231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -32744\/7 <= -4679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sosgoygtyytbobbo. Give prob of sequence ob.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*z + 561 = 289*z. Calculate the least common multiple of z and 254.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.4, -1755, 0, -2\/7, -5 in increasing order.\nAnswer: -1755, -5, -2\/7, -2\/11, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 = v. Let h(o) = 1 - 2*o**2 - v*o**2 + 11*o + 6*o**2 + 1. Let g be h(-11). Which is bigger: 0.5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/3)\/(a*a**(-2\/15)*a))**(-20\/3) assuming a is positive.\nAnswer: a**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2675, -21498, -72581, -172052, -336039, -580670, -922073?\n\"Answer: -2688*f**3 - 2*f**2 - f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 6:11 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8549 and 6449036?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 299*k - 2. Let x be w(3). Let f = x + -1843\/2. Calculate the common denominator of f and -63\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkthcchge. Give prob of sequence tc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.5 - -13.6. Let l = -6.5 + m. Let y be (-45)\/40*(0 + 4\/3). What is the fourth smallest value in l, -1\/3, -1, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116520 and 84.\nAnswer: 815640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7827.69l to millilitres.\nAnswer: 7827690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4 - 310*p**3 - 10668*p**2 - 138376*p - 620144 = 0.\nAnswer: -113, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5870902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b**2 + 4*b + 3. Suppose 2*y + 3 = -a, 2*a + 13 = y + 27. Calculate k(y).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -2\/9, -23, 1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8+-1171579916\nAnswer: -1171579908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2226b (base 14) in base 15?\nAnswer: -19807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 + 10289828*z**3 - 30869496*z**2 + 30869500*z - 10289834 = 0. Calculate z.\nAnswer: -5144917, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5522 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-12) + 214\/3. Let x be (-748)\/(-28) + 6\/21. Suppose 4*s - s - x = 0. What is the highest common factor of z and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/203 (b) -2 (c) 0.1 (d) 0.5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 542 and 5.\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4371875 decades in months?\nAnswer: 52.4625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) 2 (b) 3 (c) 27316 (d) 5 (e) -0.3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(1152) + (sqrt(1152) + 3*sqrt(1152) - sqrt(1152) - sqrt(1152) - sqrt(1152))) - ((sqrt(19) + sqrt(1539))*-4 + 0).\nAnswer: 961*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 16, u: 3, n: 1}. Give prob of sequence ny.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 909, 1819, 2729, 3639?\n\"Answer: 910*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 5*v + 6, -45*v = 52*r - 56*r + 94 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2068138 + -277138. What is t rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**2 - 8*w**4 - 30 - 4*w**3 + 54 + 5*w**2 + 4*w**2 - 3*w - 25 to z*w**2 + p*w**3 + a*w**4 + x*w + o and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/3 - 184*f - 554\/3 = 0.\nAnswer: -1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:06 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182024630?\nAnswer: 2, 5, 18202463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 4. Let j(v) = -3. Let w be (1 + -2)\/(-1) + 1*5. Let n(k) = w*j(k) + 5*t(k). What is n(6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9953*l*p**3 - 8698*l*p**2 + 16*l*p - 18*l + 1341*p**3 wrt p.\nAnswer: 59718*l + 8046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2. Let z be d(2). Let b be z\/6*21\/2. Let t = -61 + 75. Calculate the highest common divisor of t and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -9, -26, -59, -114, -197, -314?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a**3 + 151*a**2 - 1850 wrt a.\nAnswer: 18*a**2 + 302*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -575\/4 + 143. Let p = 8 - 12. What is the second smallest value in 0.2, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6014 minus 30706?\nAnswer: -36720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**7*b)\/b*b)**(-48) assuming b is positive.\nAnswer: b**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -16*k**2. Let z(c) = 98*c. What is z(q(g))?\nAnswer: -1568*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10444 + 10?\nAnswer: -10434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 + 56*f + 1541. What are the prime factors of t(-33)?\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 + 2 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1341*f = 326*f + 8120 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (922\/(-11525))\/(2\/(-550)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000924 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230215 or 229311?\nAnswer: 229311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 - -0.1. Let v = p + 0.1. Let s = v - -0.13. Which is the nearest to -1\/3? (a) s (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) + (-380)\/30. Let x be (27\/54)\/((1*2)\/l). Put 2, x, -5 in descending order.\nAnswer: 2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 3*j - 150, z = 4*j + 13. Suppose -416 = -5*x + 239. Calculate the remainder when x is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k + 12491 = 6767 for k.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) -0.3 (c) 0.0521 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 - 924\/(-8). Suppose -2*q = -6*q - 2*j + 92, -r = -5*q - 2*j. Solve 2*h - 4*k + 22 = 0, q = -4*h + k + 2*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:41 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134809 (base 10) to base 3.\nAnswer: 20211220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - -2)*78\/2 is divided by (-3)\/(-12)*0 + 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 39 - (-1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 43*x**8\/336 + 3*x**6\/40 + x**5\/60 + 2765*x**4\/24 + 273*x**2. Find the third derivative of h(k) wrt k.\nAnswer: 2580*k**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*g**2 + 394*g**2 + 261*g**2 - 842*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(6) - sqrt(5))*-2 + sqrt(5) - ((2*(-4 + sqrt(5)))**2 + sqrt(5)).\nAnswer: -84 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b + 6207 - 20214 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 14 = 143 + 207 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g = -4*l, 9 = l + 2*g. Let i(u) = 14*u + 60. Let r(x) = -2. Let t(d) = -i(d) - 6*r(d). Calculate the least common multiple of l and t(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 15. Let a(i) = 4*i - 23. Let o(n) = -5*a(n) - 7*v(n). Let q be o(8). Determine k so that 11*k - 33*k**2 - 3 - 6*k**3 - 27*k + q + 4*k = 0.\nAnswer: -5, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*m = -555*m - 51 - 109 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 9*a - 5. Let i be f(10). Let z = -3 + i. What is the third smallest value in 4, -4, z, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.9 - -14. Let k = 2.03 + -0.03. What is the closest to m in k, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let s be 2*((-6)\/4)\/(-3). Let x(g) = g**2 + 3 - 2 - s. What is x(j(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -102.1856 and 0.14.\nAnswer: -102.0456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/4 - 7*f**3\/3 + 3*f**2 + 2*f - 7. Let g be c(6). Solve -g*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 521.4056 to the nearest 10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15054756 is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 355 + 194?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.019141 + 915\nAnswer: 914.980859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12199327?\nAnswer: 7, 353, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 1\/2 (c) -5 (d) 4\/189 (e) 25 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/83 in 0.02, -8, 1\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 276513229 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.58 + 0.3. Let j = 0.251 + b. Let a = 0.401 - j. What is a rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(4 - 0) + 7. Suppose -8*r + k + 40 = 0. Find the third derivative of -884*g + 9*g**r + 9*g**2 + 884*g wrt g.\nAnswer: 1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*b + 20 = 490*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1 (c) -3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12198, 12200, 12202, 12204, 12206, 12208?\n\"Answer: 2*s + 12196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 7*k**2 + 4*k + 6. Suppose -2*q - 22 = -7*q - 2*c, -3*q - 2*c + 10 = 0. Calculate r(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 232?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 35 - (-1)\/(1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 497 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 4*k**2 - 13*k + 13. Let l(x) = -x**3 - 9*x - 20. Let g be l(-2). Calculate the remainder when 89 is divided by c(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*f - 544*f = 4*l - 21, -5*f = -3*l - 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918172443?\nAnswer: 3, 23, 13306847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31859137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1))\/((-66)\/(-44)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131296 and 527840.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310 and 13919?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-2 + 1)*1. Let i = -3 + k. Let x = -467\/2188 + -20\/547. Which is the third smallest value? (a) 0 (b) 6 (c) x (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -407*u**2 - 54536*u + 283. Determine r(-134).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-60) - (12\/(-10) - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 65. Calculate the greatest common divisor of 54 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 18 = -f - 2*z, -z = 5*f - 54. Suppose -5*o = -3*g - f, 5*o - g - 14 - 6 = 0. Let s(w) = w. Give s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -855452 divided by 5\nAnswer: -855452\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183.3 - -185. Let p = 1304\/5115 + 4\/341. Let b = 14\/15 - p. Is n < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 0)*-2*(-2942)\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 9*w + 10. Let f(u) = u**3 + 4*u**2 + 0*u + 0 - u + 2*u - 4. Let c be f(-4). Give y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**31)**(5\/3)*(q**(13\/5))**(-20) assuming q is positive.\nAnswer: q**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 37, 58, 83, 112?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 13216604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 7*l - 11. Let t be (-336)\/35 + 4\/(-10). What is the tens digit of w(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -90, -193, -326, -483, -658?\n\"Answer: u**3 - 24*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 74*q + 39. Let v be y(-5). Let b = v + 1661\/5. Is 0 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0 - 1\/9*k**3 + 1\/36*k**4 + 1\/6*k**2 + 3*k. Factor c(y).\nAnswer: (y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194665 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/120)\/(19829\/(-25100) + (-2)\/(-50))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(57*5\/(-6555))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -162216859.\nAnswer: -162216858.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n + 900. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 41. Let x be (-79)\/22 - b\/(-1). Let l = 9\/22 + x. Sort 0.5, -2, l in descending order.\nAnswer: 0.5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**2\/3 - 4024*j\/3 - 1012036\/3 = 0.\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21, -15, -3, -2 in descending order.\nAnswer: 21, 1, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305 by 5.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/4)\/(((-627)\/(-38))\/(-33)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13543, 3\/4 in ascending order.\nAnswer: -13543, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133*z**6 + 2*z**2 - 74 wrt z.\nAnswer: 15960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/28)\/((-1)\/(-56)). Calculate the common denominator of 101\/2 and i\/35*(-10)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(1\/5))\/n)\/n)**(-12)\/((n\/n**(2\/47))\/n*n\/(n**(-1\/8)*n)) assuming n is positive.\nAnswer: n**(4357\/1880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (-3)\/(2*(-18)\/240).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -316 - -1378. Let o be q\/8 + 1\/4. Calculate the highest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154972047 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3248 * 320\nAnswer: -1039360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.912 - -0.184.\nAnswer: -10.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 20) + 51 - 21.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1034073 + 14470283\/14. Let i = 482 + t. What is the common denominator of i and 6\/(-51) + 13055\/714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, -16, -12\/11, 1, 5\/4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*8*2\/12. Suppose r*m - 2*w - 66 = -0*m, 3*m - 3*w = 48. What is the second derivative of -15*o + 0*o**3 - 2*o**3 + m*o wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2 - 2)*(866 - 11291 - 6688 + 1920).\nAnswer: -30386*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11316 and 205656.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6236.49638 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 399 + -107. Suppose -2*j - c = -6*j. List the prime factors of j.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 - (-30 - -90) - 131\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1869962559 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -429?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7021\/10 - -702. What is the fourth smallest value in 5, h, 2\/3, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142.1 - -774.86942251?\nAnswer: -367.23057749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 <= 456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 1\/(-4)*258*6\/(-9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -599951 + 93358.1.\nAnswer: -506592.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = g - 3*s, -s = -9*g + 13*g - 5. Let z be (-2 + 0 + g + 4)\/1. Solve -z*o + 36 = 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = 3*d, -3*d + d - u + 7 = 0. Let x(i) = -i**3 + 7*i**2 - 5*i - 4. Let f be x(6). Solve -d*n = -f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 17 - 22 = 0. Suppose -7*l = y - 33. Is 7 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**3 - 7*x**2 + 1. Calculate y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 20 + 16. Suppose 0 = -o + 11. Let d = x - o. Which is the closest to 0.1? (a) 0.1 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 9:50 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 5*d**2 - 3*d - 1. Let v(n) = n**3 + 3*n**2 - 2*n. Let h(g) = 2*l(g) - 3*v(g). Determine h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - j**2 + 1. Suppose 18 = -r + 5*i - 13, -2*r + i - 71 = 0. Let h(q) = 8*q**3 + 6*q**2 - 5. Let a(w) = r*v(w) - 4*h(w). Factor a(l).\nAnswer: 4*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 1698, 5, -146 in decreasing order.\nAnswer: 1698, 5, -3, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -0.3, 12, -4, -91, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75038617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) 14 (d) -0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -595 + 438. Let p = -158 - h. Which is the closest to p? (a) 0 (b) 3.5 (c) 0.3 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 3*x**2 + x - 2. Let p be m(3). Which is the nearest to p? (a) -0.2 (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 + -0.38. What is the closest to 2 in -1, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87.744573792045 - 0.4.\nAnswer: -88.144573792045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3065 + 23*p**2 + 3065.\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/((-11)\/(-264)*-6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/16 and -105\/2456194.\nAnswer: 19649552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1593043, 1593028, 1593013?\n\"Answer: -15*y + 1593058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 340, 1076, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10 and -39\/532980665.\nAnswer: 1065961330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 39 = -4*l. Solve 4*y = 3*d - 7 + 22, 5*y + l*d + 15 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c = -76*c + 135 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -81468 rounded to the nearest 1000?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 372576149 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -14\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-1)\/((-3)\/(-1439715)). Let l = i + -4786561\/10. Let x = l + -1254. What is the common denominator of 63\/20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(9\/7)*u*u*u\/u**(-38)*u*u)\/(u**(-18)*u**(-4\/29)\/u*u) assuming u is positive.\nAnswer: u**(13078\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*a - 23. Suppose -2*u + 2*w = -3*w - 187, a = 3*w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 1 + 1)*(-4 - 4 + 6) + (3*j - j - 5*j)*(1815 - 1144 + 1170 + 1236).\nAnswer: -9227*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + (sqrt(110)\/(sqrt(10) - (sqrt(10) + (sqrt(30)*2)\/sqrt(3))) - 1*(sqrt(11) + -1)*2))*5.\nAnswer: -25*sqrt(11)\/2 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.19, -80, -76?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.005 - 0.005. Let d = 4.812 - 0.012. Let k = q - d. Which is the nearest to 3? (a) k (b) 4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + z - 2. Let t be l(-3). Let s = -21 - t. Suppose -m + 49 = b + 2*b, s*m = 3*b - 46. Solve -4*v + 9*v + 5*d - 40 = 0, -3*d + b = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 2\/15 (c) -2\/5627 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 + 62*s + 114. Calculate the remainder when 547 is divided by y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3050949 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 123 = 3247. Let i = s + 287. Sort i, -3\/5, -5, 0 in decreasing order.\nAnswer: i, 0, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.4 (b) 0.04 (c) 3 (d) 21 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(500) - 2*(sqrt(500)*2 + sqrt(500)))*-5 - (-3 + (sqrt(500) + 0)*-3))**2.\nAnswer: 10080*sqrt(5) + 2352054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (6 - 4) - 11) + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/42 - 1) + 10\/18. Sort 4, -4, l, -64\/9, -2\/49 in descending order.\nAnswer: 4, l, -2\/49, -4, -64\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(3\/2))\/(c**(-2\/19)\/c))\/(c**(-1))**(12\/17))**(-4\/17) assuming c is positive.\nAnswer: c**(-1694\/5491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -3)\/(1\/(-2)). Let s be (-1)\/(6\/b)*30. What is the highest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 31*h**2 + h + 6. Let t(a) = 14*a**2 + 4. Let p(m) = 3*b(m) - 5*t(m). What is p(-2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-4.2.\nAnswer: 0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:25 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, -w + 3*u = -0*u - 2. Suppose -10 = -w*g - 3*g. Suppose 3*o = g*q + 11, 4*q - 15 = -q - o. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 3 - 2*g**2 - 3 + 4*g**2 + 3 - 3 + (-g**2 + g**2 + g**2)*(0 + 4 - 35).\nAnswer: -29*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*g - 126, -3*a - 89 = 3*g + 2*a. Let d be ((-22)\/g)\/(1\/3). Let c(v) = 0*v - 8*v - 4*v - 4 + 4*v**d + v**3 + 7*v. Calculate c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*n**2 + 216*n**2 + 246*n**2 - 770*n**2.\nAnswer: -31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 18*f + 64. Let m be i(-3). Solve 3*q = 8*q + m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/9*(-9)\/30*-3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 = 2*n, -3*i - 7*n = -9*n - 21. Let y be 106 - 3 - (i - 1). Let q be (-2)\/3*(-33)\/2. What is the greatest common factor of y and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3009016 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2635160 by -2.\nAnswer: -1317580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (42 + -7 + -7 - 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5 + 380*f**4 + 1164*f**3 - 1136*f**2 - 4234*f - 2316 = 0.\nAnswer: -3, -1, 2, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 2289*q**2 - 13827*q + 11535.\nAnswer: 3*(q - 5)*(q - 1)*(q + 769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 29. Suppose m*l - 15 = l. Solve -3*d - 37 = -5*b, -b - 3*d - l = 2*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.9172 years in millennia?\nAnswer: 0.8669172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 342590 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 5*l + 38. Let n be q(-9). Suppose -n*h = j - 5*h + 7, -h = 2*j - 7. Solve j*w = w - 2*o + 7, -5*w = 5*o - 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 2 + 2 + (-5 + 9 - 8)*(3*d**2 - 4*d**2 + 0*d**2).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1447020 times -0.4\nAnswer: -578808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52565 + -36878. Suppose -2*z - 12545 = -4*x + z, 5*x - k = -2*z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:15 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7055.668 rounded to zero decimal places?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.345 in -1, 2, 3\/7, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -66517966423 and -5.\nAnswer: -66517966428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u. Let l = 8 + -42. Let i = 37 + l. What is p(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d - 2. What is w(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 0 + 4612281 + (-216)\/(-27) + -14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 6 + s**3 + 6*s + 0 - 9*s**2. Suppose 131*l - 1345 = 126*l. Let b = -263 + l. Determine o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/241875 and 22\/8385.\nAnswer: 3144375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 6. Give i(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Suppose 5*i = -h*i + 10. Let d(a) = a + 2. Let y be d(2). Solve i*q = y*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/39 + -3\/13. Let w = 439 + -440.97. Let o = w - -2.37. Which is the closest to -0.1? (a) j (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19722 and 456?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28817 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 859482 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -240 divided by -1\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 - -4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.71654l to millilitres.\nAnswer: 8716.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -864 + 872.94. Let m = z + -9. Let r = 38.5 - 38. What is the biggest value in m, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5 - 515*i**4 + 20232*i**3 + 38952*i**2 - 8846096*i + 5874192 = 0.\nAnswer: -18, 2\/3, 38, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 9:25 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by -4.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346889566.\nAnswer: 2, 271, 743, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:44 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 36290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 10, -27 in descending order.\nAnswer: 10, 6, 2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3778789.\nAnswer: 7, 149, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -69*a**2 + 73*a + 68. Calculate r(-1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003741 to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*l - 1172, -3*b - 2*b - 3*l = -1942. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.10422 + 5.20422. Let o = -16 + 10. Which is the closest to -1\/3? (a) 0 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*i + 33400 = 0, b + 3*i + 5176 - 21885 = 0. Calculate the least common multiple of b and 8.\nAnswer: 66728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 187\/51 + (-4)\/6. Suppose -10*d + 378 = -b*d. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1 = 2. Let i be c\/(-5) + (-24)\/(-5). Suppose -i*a - 20 = -9*a. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*g + 125*g + 138*g.\nAnswer: 92*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from rggjgrrgrgjgrxrgw.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v + v + 5*v - 49 + 4*v - 2*v to the form i + n*v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14374917 divided by 1597213.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23150 divided by 6.\nAnswer: -11575\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1408, 5604, 12598, 22390?\nAnswer: 34980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 24897180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 234 + -202. Let r be 12*1 - (o + -30). Solve 3*m + r = -u, 2*u - m = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 + 48*r. Let b be t(-12). Suppose 4*i + 0*l + 5*l - 1518 = b, -2*i - 5*l = -764. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v - 24*v + 144. Let n(r) = 3*r**2 - r + 2. Let h be 63\/6*(-6)\/(-9). What is the remainder when n(h) is divided by v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -146, -304, -460?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -355*d + 224. Is o(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (204\/255)\/(34\/(-8075)*-19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -266*k**3 - k**2 + 2*k - 4. Let r be m(-3). Let u be 1 + 4 - 30842*(6 - 5). Let d = r - u. Round d to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*213.7.\nAnswer: 641.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*p = -7*s + 32, 5*p - 36 = -2*s. What is the lowest common multiple of 10*((-4)\/(-10) - 0) and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 43\/10*y**5 - 5 + 0*y**2 - 2*y + 0*y**3 - 2*y**4. Find the third derivative of i(x) wrt x.\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10114 = 7*y + 6*y. Let x = y - -780. Solve -x*d - 8 = -2*j, -d = -j - 2*j + 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83917*k**2 + 83914*k**2 - 167827*k**2 - 5 + 5.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25928*k**2 - 13538*k**2 - 14506*k**2 + (-1 + 1 + k)*(k + 3*k - 2*k) - k**2 + 2 - 2 + (-2*k + 2*k + 2*k**2)*(1 - 4 + 0) to i + u*k + w*k**2 and give w.\nAnswer: -2121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 310*q**2 + 97099*q + 3855. Determine o(-193).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35466177969944 and -0.3.\nAnswer: -35466177969944.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0 - (-40)\/5. Let k(c) = -c**3 + 9*c**2 - 2*c - 10. Let p be k(s). Let t = 5 - p. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - (3\/462)\/(36\/(-2478)). Is o smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858 divided by 19406.\nAnswer: -429\/9703","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*sqrt(17)*3 + 5)**2.\nAnswer: -7700 + 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiae. What is prob of sequence ea?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 34 - 59)*(4*b**2 - 4*b**2 + b**2)*(-3 - 4 + 6).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -590*a**3*j*x + 4*a**3 + 4*a**2*x + 77*a*x wrt j?\nAnswer: -590*a**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 46902 - 46898 = 5*l, -5*w - 9*l = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + w - 2*w)*(0*w**2 - 3*w**2 + 2*w**2 + 0*w**2 + 2*w**2 - w**2 + (-2*w - 5 + 5)*(-3*w - 1 + 1)).\nAnswer: -6*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4749 less than or equal to 238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -18059291 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -11. Let n = 1 + z. Let f be 2\/n*(-3)\/2. Solve -1 - f = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4 - 374*j**2 - 141*j + 43 wrt j.\nAnswer: 12*j**2 - 748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 22*s - 10. Let i(z) = -z**2 - 66*z + 32. Let d(c) = 3*i(c) + 8*q(c). Let p be d(-8). What is the third smallest value in -2\/3, p, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7268 is divided by 1418.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = 14. Let c be (2\/1 - q)*0. Let p = -3.3 - 0.7. What is the nearest to -0.1 in p, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/27)\/(6\/(-9)). Let a(i) = 121*i**2 + 2*i - 1. Let d be a(t). Suppose 2*v - 5*m + m = d, 0 = 4*v + 2*m - 264. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34671 and 7104.\nAnswer: 82100928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) - 675\/(-125). Let d = c + -2. Solve 3*a = 3, 2*x - d*x = -4*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317443.266ns in weeks?\nAnswer: 0.000000000524873125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.9, -2\/15, 3, 1\/2, -0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6353.999994182 + 6354. Round x to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-561)\/(-63) - ((-28)\/(-40) + 5845\/(-7350))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-4))\/((-3)\/12). Let n(r) be the first derivative of 4\/5*r**5 + t - 5*r + 0*r**2 + 0*r**3 + 0*r**4. What is the derivative of n(g) wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12858 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180268 is divided by 79.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92259832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b - 24. What are the prime factors of m(-13)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138960515 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 499*f*g + 89*f*p - 5*g*p + p wrt p?\nAnswer: 89*f - 5*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82173010.\nAnswer: 2, 5, 8217301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 - -0.227.\nAnswer: 1.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/2)\/(331\/1986). Let l(g) = 4*g - 61. What is l(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, 47, 97, 191, 341, 559?\n\"Answer: 2*u**3 + 4*u**2 - 8*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -623, -592, -559, -524, -487, -448, -407?\n\"Answer: h**2 + 28*h - 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1908.7? (a) 2 (b) -30 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -287*v**2. Let y(z) = -24*z**2. Let j(x) = -3*a(x) + 35*y(x). Let d(q) = -2*q + 2*q - 4057*q**2 + 4054*q**2. What is j(d(i))?\nAnswer: 189*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**2 - 2*g + 2. Let a be 4\/((-16)\/12) - 7. Let o(w) = -w + 2. Let f be o(a). Let h = -14 + f. Give x(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10893052 and 36103?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.00278 micrograms to kilograms.\nAnswer: 0.00000007100278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:04 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(8*9\/(-54)). What are the prime factors of ((-4965)\/25)\/(t\/(-60)*4)?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(2\/(-5)))\/(225\/(-1215)*3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*s - 10, 4*f = -4*s + 34 - 6. Solve -s = 5*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 - 10201112?\nAnswer: -10200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47551\/8 or -5945?\nAnswer: -5945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*y = -183*y - 1350. Let w = 150 - y. Calculate the remainder when 40 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 51307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19691, -78754, -177197, -315026, -492247, -708866, -964889, -1260322?\n\"Answer: -p**3 - 19684*p**2 - 4*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3403668 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6*(-2)\/10)\/((-93)\/310). Let j(t) = t - 4. Let o be j(0). Let f = a + o. Solve 12 = 3*w - f*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3074311 is divided by 97.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0 - 5 + 2 + 1 - 2*h + h**2. Let w be x(3). Let o(n) = 3*n**2 + 2*n - 1. Let m be o(w). What is the greatest common divisor of 6 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 111.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 15*u - 12. Determine c(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.08 (c) -97 (d) 0 (e) -331 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4041.365l in millilitres?\nAnswer: 4041365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210140 by 1330.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**4\/24 + 11*d**3\/6 - 5*d**2. Let b be y(-8). Factor 4*l**2 - 2 - 22*l + 14*l**4 + 15*l**b + l**3 + 4*l**5 + 18*l.\nAnswer: 2*(l + 1)**4*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -23*x**2 + 3 - 3. Let t(b) be the second derivative of 7*b + 0*b**2 + 1\/6*b**4 + 0*b**3 + 0. Calculate t(y(f)).\nAnswer: 1058*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 7*y - 25. Suppose -5*l + 7 = 47. List the prime factors of g(l).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 16080?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -124*y**4\/3 + 209*y**3\/6 + y + 112. Find the second derivative of f(s) wrt s.\nAnswer: -992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3716, 3715, 3714?\n\"Answer: -t + 3717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -39. Which is the closest to t? (a) 1 (b) 1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**5 - 1395*m**4 + 150480*m**3 - 7776000*m**2 + 190356480*m - 1746800640 = 0?\nAnswer: 24, 39, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56719011?\nAnswer: 3, 3779, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((w*w**(-1\/16))\/w))\/w)\/(w*w**(-2\/57)*w))**(-32))**(-2\/37) assuming w is positive.\nAnswer: w**(-6940\/2109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from iivbiivai.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*w = -32, 0 = 8*g + 477773*w - 477770*w + 24 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 1\/30*v**5 + 0*v**4 - 1\/60*v**6 + 1\/420*v**7 - 5*v**2 + 0*v**3 + 8*v + 0. Factor r(o).\nAnswer: o**2*(o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.72 (b) 0.3 (c) 24 (d) 2\/37 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f, -17 = 4*n - 3*f - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-48)\/14)\/(4\/(-98))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*p**3 - 3*p**4 - 2*p + 2*p**4 + 3 - 2*p**4 + 2*p**4 - 2*p**3 in the form v*p**3 + h*p + j + i*p**4 + w*p**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*w - 3. Let i(z) = z**3 + 1. Let o(b) be the second derivative of 1\/20*b**5 + 2*b + 1\/6*b**3 + 0*b**4 + 0*b**2 + 0. Give w*i(k) + 2*o(k).\nAnswer: k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20947.\nAnswer: 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - (3 + -11)) + (28 - 5). What is the tens digit of (k + 7 - 5)*25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09588 - 0.02212. Which is the nearest to -2\/5? (a) k (b) -1\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46\/5 of a millimeter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3939 and 2389660.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/567*-3*4\/(-2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*r - 24172 - 7370 - 17717 = 1161*r for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**3 - 25*a**2 + 15*a + 20. Let s(b) = -13*b**2 + 1 - 2*b**3 + 3 + 4 + 2 + 8*b. Let j(z) = 3*r(z) - 5*s(z). Factor j(m).\nAnswer: -5*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 77134496 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22450195 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: What is prob of picking 2 d when two letters picked without replacement from wwwjddd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:58 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3 - 6432080*y**2 + 212260818*y = 0. What is y?\nAnswer: -3216073, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215)\/(-140) + 102\/(-408)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1527 - (-5 - (6 + -8)))*-2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 296\/280)\/((-2)\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16188*x = -16178*x - 330 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/108)\/(2\/3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43063*l**3 - 15345*l**3 - 149498*l**3.\nAnswer: -121780*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - q + 6 = 0, -2*q - 5 = -3*s + 1. Let j be (3 + -2)\/(s\/36*3). Solve -2*b = -4 - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*b - 60, -49 = -5*b - 5*f + 41 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*v. Let a = 3 - v. Let l = -13624 - -13628. Solve -l*y - a = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4238640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r**2 + 5*r + 6. Let n(z) = -6*z**2 + 3*z + 4. Let d(v) = -3*k(v) + 5*n(v). Let a(y) = -15 - 154*y**2 + 63*y**2 + 71*y**2. Give 2*a(w) + 15*d(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.46. Let u be (-76)\/228 + (2\/(-8) - (-1)\/4). What is the nearest to d in u, -0.3, -0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 6*b + 108. 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 f = 370.4 - 370. Which is the third biggest value? (a) 1 (b) 0 (c) 1\/7 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/8 + 9*s\/8 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 17*b**3 + 13*b**2 + 13*b. Let s(f) = 4*f**3 + 3*f**2 + 3*f. What is 6*g(t) - 26*s(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.00357 + -0.0061772. Round y to four decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 3, 0, -5, -12, -21, -32?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 885 - 881. Let k(a) be the first derivative of 0*a + 0*a**2 + a**o + 8 - 4\/3*a**3. Determine b so that k(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35579.16 centuries in decades?\nAnswer: 355791.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -434\/3 or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107314 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 -8680028 - -365?\nAnswer: -8679663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from hiiehyhfeehefywyeyih?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -40*n + 224 - 236. Solve -b = -3*u - 0*b - 26, -n*b = u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w - 2. Determine q(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22064 and -0.22.\nAnswer: 4854.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 73 = -4*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 - 6 = w, 5*o = -5*w + 30. Let l be (-184)\/(-96)*w - 4. What is the biggest value in l, -12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -76*n**2 - 380*n + 4. Let h be c(-5). Sort -74, h, 22 in decreasing order.\nAnswer: 22, h, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 7*q**5\/2 - 65*q**4 - 174497*q**3\/2 + 1226244*q**2 - 4996152*q + 6312384 = 0.\nAnswer: -156, 3, 8, 1124\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 2 + (-18702)\/1098\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 227, -4.\nAnswer: -4, -1, 4, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 11*l - 14. Let m be g(-11). Let t = 34 - m. Calculate the greatest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2 - k**2 - 7*k**3 + 10*k**3 - 2*k**2. Does 13 divide m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1547, 3033, 4457, 5819, 7119, 8357?\n\"Answer: -31*s**2 + 1579*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 54. Solve -r*s = -3*d + 15, 5*d - 12 = -5*s + 13 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**4 - 13375*c**3 + 80370*c**2 - 160820*c + 107240 = 0.\nAnswer: -2681, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13883.4 - -13883. Suppose 2*r = -n - 0*r + 6, 3*n + 22 = 4*r. Which is the smallest value? (a) v (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 290, -3, -50, -1 in decreasing order.\nAnswer: 290, -1, -2, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338050*p**2 + 2 - 2 + 8*p - 8*p**3 - 8*p - 338025*p**2.\nAnswer: -8*p**3 + 25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 3 - 6 + 7*w**2 + 2*w + 5*w + 7. Let k be o(-6). Let f be (-1)\/(-2)*k*-4. What is the smallest value in f, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 206, -1.7, -1, 0.05 in descending order.\nAnswer: 206, 0.05, -1\/3, -1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkkkskjkkjkkjjkhkjk. What is prob of sequence kkjk?\nAnswer: 275\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 318059504?\nAnswer: 318059504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*o**3 - 145*o**3 - 137*o**3)*(-3 - 3 + 2 + (2 - 3 + 3)*(4 - 6 + 4) - 1 + 1 + 2).\nAnswer: -384*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3 + a**3 + a**3 + 186*a**4 + 1 in the form g*a**2 + u*a**3 + x*a**4 + y + m*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 281, 252, 205, 140?\n\"Answer: -9*r**2 - 2*r + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.056338 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -525 and -0.1.\nAnswer: 52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -338 + 3085. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38974 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from dcwljbjdl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 + 5*d - 1. Let l(a) = a**2 + 6*a. Let t be l(-5). Let f(x) = -3*x**2 + 4*x - 1. Calculate t*f(p) + 4*q(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180656?\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 2*sqrt(171))*-6 + sqrt(171) - -3*(sqrt(171) - sqrt(171)*1 - sqrt(171)))\/(sqrt(225) + -1*(1*sqrt(225) - sqrt(225))).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642 = -147*v - 548 - 1309 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.63537cm to micrometers.\nAnswer: 346353.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.5? (a) -0.1224 (b) -4\/9 (c) -84.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -2\/13, -1\/3, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6*p + 75. Let f = p - -1. Suppose -u + f = u. What is the remainder when 50 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -207350.11 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1475.383 millilitres?\nAnswer: 1.475383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4364 + 4360. Which is the nearest to t? (a) 3 (b) 7\/9 (c) -2\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112\/21*(300 - -6)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.062933 - 0.025633. Let s = q - 0.0373. Sort 0.1, s, -1 in descending order.\nAnswer: s, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106 - -77) + (-5 - -16).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9881920 and -37\/400?\nAnswer: 49409600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.4 + 10.3. Which is the nearest to g? (a) 5 (b) -2\/23 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**3 + z. Let k be s(-1). Let t = k - -2. Solve 0 = 3*g + b + b + 12, -2*g - t*b = 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72 + -15?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49987*w**3 + 49990*w**3 - 199952*w**3 + 49985*w**3 + 49994*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -297, -3 in decreasing order.\nAnswer: -3, -5, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2412000 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341*a**3 + 5557*a**2 - 6043829*a wrt a?\nAnswer: 2046*a + 11114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21269 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 2)*((-135)\/10 + 6). Suppose 5*i - 8*v + 6*v = a, -4*i + 4*v + 12 = 0. Solve -2*f + i = 4*g, f - 16 = -2*g + 3*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/10)\/g*g\/(g*g**(2\/9)*g))\/(g\/((g\/(g\/(g*g*g**(1\/6)\/g*g)))\/g)*g\/(((g\/(g*g\/g**3))\/g)\/g*g)) assuming g is positive.\nAnswer: g**(-88\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -199a808 (base 11) to base 7\nAnswer: -40422355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19091268 by -10.\nAnswer: -9545634\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (9 - (0 - (-9 + 1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24455 + 0?\nAnswer: 24455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.69 - 12.69. Put -0.01, p, 5 in ascending order.\nAnswer: -0.01, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-21)\/o)\/o*o**14)\/(o**(1\/12)*((o*(o**(-2\/43)*o*o)\/o)\/o)\/o))**2 assuming o is positive.\nAnswer: o**(-4147\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -125 and 99200818.00637?\nAnswer: 99200943.00637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6145 - 22543. Let r = a + 327887\/20. What is the common denominator of r and (62\/(-28))\/((-2)\/(-6))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + 2*(1*sqrt(17) + sqrt(17))**2 + -3*sqrt(17)*1 + 5.\nAnswer: -3*sqrt(17) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1856.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q. Let i(h) = h. Calculate i(a(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 1920 = 38*s. Calculate the common denominator of 55\/8 and 4\/(s\/(-42))*234\/(-27).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 12) to base 9.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 3. Let z be b(-2). Which is greater: z or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9*v + 3. Let h(o) be the first derivative of 23 + 0*o**2 - 1 + 0*o**2 - 2*o**2 - o. Determine -5*h(i) - 2*q(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 64*k - 831. Does 69 divide f(47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10828795.\nAnswer: 5, 139, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -17*a**2 - a - 7. Let r(u) = -16*u**2 - 6. Let o(c) = 2*l(c) - 3*r(c). Let i be o(-3). Suppose i = 2*x - d, 0*x - 4*x + 266 = d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 16*g**2. Let f(d) be the second derivative of 5*d**4\/6 + 3*d + 8. Give f(p(t)).\nAnswer: 2560*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 222 + 222 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87136404.\nAnswer: 2, 3, 43, 168869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*a - 43*a + 3*a**2 - a**2 - 3*a**3 - 14*a**3 to the form z*a**3 + l*a**2 + n*a + w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 2*w**2 - 3*w**2 + (-2 + 4 + 0)*(-4*w**2 + w**2 + 4*w**2) - w**2 + w**2 + w**2 - w + 0*w**2 - w - 3*w**2 to n*w**2 + r + t*w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 - 2*r + 3. Let h(s) = -4*s**3 - 10*s**2 - 10*s + 14. Suppose 6 = 2*g - 0. Determine g*h(q) - 14*m(q).\nAnswer: 2*q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.35 - 0.350001. Round c to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/27)\/(14\/(-21)))\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1 - -2) + 5. Let h be ((-12)\/(-30))\/((-9)\/i). Let p = -2 + 2. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = -25*a + 26*a, -3*a + d - 44 = 0. Suppose -5*b - 3*m - 10 = 0, -5*m = -3*b - 0*m + 28. What is the fourth biggest value in a, -2\/7, b, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crp when three letters picked without replacement from eomereprcorm.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 7083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34908434 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 73. Let h = 45 - i. Let z = -179\/3 - -59. Which is the nearest to z? (a) h (b) -3\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**3 - 6*l**2 + 502*l - 11. Let s(a) = 3*a**3 - 2*a**2 + 253*a - 5. Give -5*s(c) + 2*u(c).\nAnswer: -c**3 - 2*c**2 - 261*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -225 + 328837*n**4 - 329023*n**4 + 2*n**2 - 2*n**2 - n wrt n?\nAnswer: -744*n**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/16545?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3728077011 to the power of 1\/2, to the nearest integer?\nAnswer: 61058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 28. Suppose 5*s - 7*s + d = 0. Solve -s*c = -17 + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**0*c**9\/c)\/((c\/(c*c\/c**(-3)))\/c)**(-1\/3))**19)**38 assuming c is positive.\nAnswer: c**(13718\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63147 - -290286758\/4597. Is l bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -36. Calculate the greatest common divisor of w and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66344 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2111610390 and 33.\nAnswer: 23227714290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 2, v: 5}. What is prob of sequence titi?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45507096 * -0.2.\nAnswer: -9101419.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i - 11. Let t be 17*-2*(-21)\/i. Suppose -t - 1 = -4*q. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*o - 42 = 0, -4*m + 37 = 5*o - 56. Calculate the remainder when 127 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8492265 is divided by 5968?\nAnswer: 5769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 654251015 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*o = 4*t - 168, -2*t = -4*o - 82. Suppose 0 = -55*b + t*b - 12. Which is smaller: -0.11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12*2)\/((-8)\/220). Let k be (-6)\/15 - 1149\/g. Let m = k + -12\/11. What is the second smallest value in 3, m, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 7)*-1*1\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 116861*3\nAnswer: 350583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 - 2 - 8*i**3 - 5*i**3.\nAnswer: -3*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-7 - -1))\/(18\/606). Let p = -101 + d. Which is the smallest value? (a) 0.2 (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-70))\/((-12)\/15))\/((-134)\/(-469))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10100001 - -11?\nAnswer: -10033330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e - -5646?\nAnswer: 5618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5616 + -3847. Let b = j + -692. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 111*v**7\/35 - 1001*v**6\/60 + 67*v**5\/2 - 113*v**4\/4 + 2*v**3\/3 + 10*v**2 + 2. What is w in q(w) = 0?\nAnswer: 2\/333, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3932 - -3938. Let m = 5 - 5.04. Let n = -1.04 - m. Sort 3, 4, z, n in decreasing order.\nAnswer: z, 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -407 - -407.3. What is the third smallest value in -4, 1, d, -2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410216 is divided by 10255.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73477562567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 12. Let a be t(9). Suppose s + 95 = q + 2*q, -5*s + 101 = a*q. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93445750 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 805.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23\/((-23)\/(-882)) + 5. Suppose 5267 = 5*q - 2*z, z + w + 164 = q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 - 13\/(130\/70)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1, 3, -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594249 is divided by 59.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 17647*r + 17718*r - 1 + 5*r**3 - r**2 - 35256*r in the form a*r**2 + x*r + h*r**3 + v and give x.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 264\/(-26) - 2 - 22\/(-1859)*13\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3833*m**4 + 57*m**3 - 43*m + 99. Let a(s) = 639*s**4 - 9*s**3 + 7*s - 16. Let j(o) = -38*a(o) - 6*c(o). Find the second derivative of j(x) wrt x.\nAnswer: -15408*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 151 - 32 - 6*d**2 + 5*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 435*i**4 - i**3\/3 + i - 14. Let p be q(-1). Let o be ((-27500)\/5)\/(0 + 3\/p). What is o rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3383.6 - 3384. What is the second biggest value in -1\/7, a, -1.6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38010 divided by 620.\nAnswer: 3801\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.316 - -0.316. What is the nearest to 0 in -1, -9, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/204966 and -157\/6726.\nAnswer: 3894354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321571369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + -2.6. Let o be 6*2\/16*4 + -3. What is the nearest to -2\/9 in 1, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 4*s**3\/3 + 9*s**2\/2 - 9*s - 1. Let n = -19 - -27. Is w(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-45))\/(0 + (-21)\/(-10)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 727362?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267665 - 161665. What is t rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 5:57 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -38244?\nAnswer: -1\/38244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.97295 * -1.498.\nAnswer: 14.9394791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9811, -19683, -29557, -39433, -49311, -59191?\n\"Answer: -t**2 - 9869*t + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {j: 2, n: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12132636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 4*h - 3*h - 16 - 2*h as p + q*h and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -2 (c) -4\/7 (d) -7\/6 (e) -1351\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 4*o - 24, 0*v - 5*v - 2*o = -26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - -15 - (-14928)\/(-272).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 + 139. Suppose 21 = 3*k - 4*p - 605, p = h*k - 1066. What are the prime factors of k?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25390, 203000, 685060, 1623796, 3171434?\n\"Answer: 25371*r**3 - r**2 + 16*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/481 and -7\/344692.\nAnswer: 4480996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxrp when four letters picked without replacement from rpjxzzx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 - (-18 - -21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186*n**2 - 20*n**3 + 186*n**2)*(2*n**2 + n**2 - 4*n**2).\nAnswer: 20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*c + 26*c + 10, 0 = v - 2*c - 14. Solve 3*i - z + 7 = 0, -i + 3 = z - v*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75320351 divided by 2\nAnswer: -75320351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 - -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 1. Let k be a(1). Suppose 4*n = 16, 3*p - 4*p - 4*n + 12 = k. What is the hundreds digit of (74\/p)\/(1\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 223225 and 6473522\/29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10276109, 20552278, 30828471, 41104700, 51380977, 61657314, 71933723?\nAnswer: 82210216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 87751, 87748, 87745, 87742, 87739, 87736?\n\"Answer: -3*v + 87754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*x - 12 - 18, -5*x - 104 = -2*i. Suppose -2*b = -2*s + 26 + i, 161 = 4*s + b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 6*o**2 + 4*o - 8. Let t be v(6). Suppose 4*x - 8 = 5*r - 3*r, 4*x + t = -4*r. Do x and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from erdedoeebooree.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 82\/10*(50 + -45). Solve 27*s = b*s - 28 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5, -p + 4*p = -3*t + 51. Suppose -t*s = -27*s + 3410. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-175860)\/(-102) + (-12)\/102?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -1. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164226 and 404?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3032 = 7*s. Suppose -457 - s = 5*o. Let c = 347 + o. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvvmqvv. What is prob of picking 2 q and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 n when three letters picked without replacement from {a: 1, v: 2, q: 4, b: 1, j: 1, n: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*2*(-1 + (0 + (sqrt(833) - (3 + sqrt(833))) + 0)**2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - 8838?\nAnswer: -8817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 0\/(-23) - ((-98)\/4 - 3)*642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705070532?\nAnswer: 2, 59, 199, 15013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {m: 2, l: 2, f: 1, z: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 15*u - 17. Is x(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 2*j + 16. Let w be i(5). Let x = 6 - 4. Suppose 5*g - 15 = x*h, h = 3*g + 2*h - 9. Solve w + g = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 50 = -4*s + s, -2*a + 38 = 3*s. Suppose 0 = -3*i + i - 3*q + 329, -3*i + 474 = -2*q. What is the greatest common factor of i and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 3. Let n be q(-5). Suppose 5*m = -7 - n. Let w be 7\/9 - m\/18. Is -1 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4214311 at least as big as -4214316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 552345694 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/(-63) + 4\/6. Let l = -2125\/62952 - -1\/1032. Let i = 226\/549 - l. What is the second biggest value in o, i, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 142.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -17*z - 39. Let a(u) = u**2 - 3*u - 110. Let v be a(-9). Give h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115729442*f**3 - 1161097*f wrt f?\nAnswer: -694376652*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -556 + 572 - (33 - 0) - (2 - 52).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/81*-9*-367. Let i = 1049 + y. Is i a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 11:20 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_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: What is the common denominator of -49\/972 and 67\/40?\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 46. Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w - 8096 = -83*w. What is the remainder when w is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*q - 2*q - q + (-3*q + 0*q + q)*(-113 - 3 - 124) to the form p + g*q and give g.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8286*f**4 - 8141 wrt f?\nAnswer: -33144*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*c + 5*n, 5 = 5*c + 2*n + 8. Suppose -16*g + c = -95. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 143, -1 in descending order.\nAnswer: 143, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -11. Let k = -3.74 - 0.26. Which is the nearest to k? (a) n (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48416 divided by -2.\nAnswer: 24208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 0.01, 4 in decreasing order.\nAnswer: 4, 0.01, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121110021 (base 3) in base 16?\nAnswer: 2edb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**2 - o + 1. Let i be x(1). Suppose 3*s - i*s - 5*u = -5, 2*u = 2*s - 10. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0265684482 to five dps.\nAnswer: 0.02657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-48) - (-2 - (-50)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7412 times 3\nAnswer: 22236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tht. What is prob of sequence htt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*-2*(-1)\/(-34).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160145678.\nAnswer: 2, 7, 11, 17, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -250*w**5 + 2*w**4 - 2*w**3 + 3*w + 848?\nAnswer: -5000*w**3 + 24*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412859121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, x: 3, z: 1}. What is prob of picking 1 z and 1 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, z: 4, f: 1, h: 3}. What is prob of picking 2 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 - 12882*q**3 - 141252*q**2 + 372738*q + 501111 = 0. Calculate q.\nAnswer: -4283, -13, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Suppose x + 3 + l = 0. Let d be (-73)\/x - (-2)\/5. Solve d = r - 6*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 516 + -515. Sort i, 4, -1, 15 in decreasing order.\nAnswer: 15, 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*3*(5 + (sqrt(612) + sqrt(612)*2 + 4 - sqrt(612) - (sqrt(612)*1*2 + sqrt(612)))))**2.\nAnswer: -34992*sqrt(17) + 224532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/352532 and 15\/733.\nAnswer: 258405956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -531 and 0.26312.\nAnswer: -530.73688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-96 - -99)\/(6\/220442) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-9))\/8*120\/36\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.544mg to kilograms.\nAnswer: 0.000038544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6636 (base 11) in base 10?\nAnswer: 8751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + s = -0*s + 36, 3*j + 4*s - 113 = 0. Calculate the remainder when j is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -455984.99915 + 455886. Let t = m - -99. Round t to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2514, -5033, -7554, -10077, -12602, -15129, -17658?\n\"Answer: -o**2 - 2516*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -32553.\nAnswer: 2\/10851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0205978066 * -4\nAnswer: -0.0823912264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190476582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 20138*f.\nAnswer: -2*f*(f + 10069)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.782458 seconds to nanoseconds.\nAnswer: 8782458000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4847207976 to the power of 1\/2, to the nearest integer?\nAnswer: 69622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*b - 4 = 0, 440*b - 441*b = 5*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 14)*(-4)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -519 and -12.\nAnswer: 6228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/(70\/12880)*185\/74\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6654219 is divided by 263?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49374 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, w: 10, x: 4}. What is prob of picking 1 x and 1 b?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 70. Calculate f(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d**3*r + 11*d**2*r**2 + 18*r**2 - 2*r with respect to d.\nAnswer: 36*d**2*r + 22*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 209 (b) -1\/9 (c) -0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -23. Suppose 2*i = g*o + 7*i - 4, 11 = 4*o + i. Suppose 43 - 70 = -o*r. What is the greatest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -33.5. Let u = x + 7. Let g = -4\/47 - 58\/423. Sort g, u, -0.3 in increasing order.\nAnswer: -0.3, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16 - 15*l + 137 + 11*l + 2*l**2. List the prime factors of j(0).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -460*x - 20. Let y be b(9). What is y rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 88*s - 241. Let f be z(41). Solve 0 = 5*r + f, -r + 7 = -3*n + 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 8 + s - 46*s**3 + 3*s + 3*s - 73*s**3 + 0*s.\nAnswer: -119*s**3 + 2*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-5\/3)*v*v\/(v**6\/v))**(-42)\/((v*v\/(v*v**(1\/3))*v)**36)**(-2\/85) assuming v is positive.\nAnswer: v**(1928\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4 + 3*q - q + 5*q. Suppose b = -4*v - 0*v + 85, v + 2*b - 23 = 0. Suppose 30*p - v*p = -153. Let h(g) = 20*g + 11. Calculate p*a(u) + 6*h(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 5*t**2 + 83*t - 80. Let m(h) = 2*h**2 + 40*h - 40. Let n(q) = 2*l(q) - 5*m(q). What is the first derivative of n(g) wrt g?\nAnswer: -6*g**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:06 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -386.74 and 6.\nAnswer: -2320.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w - 293. Let x(s) = s - 98. Let m(a) = h(a) - 3*x(a). Let v(b) = 3 - 4 - 5 - 2*b. Determine -6*m(z) - v(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + n)*(-1 + 2 + 0)*(4 + 1 - 1)*(1190*n + 25*n - 193*n).\nAnswer: -4088*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14146478, -14146472, -14146462, -14146448, -14146430, -14146408, -14146382?\n\"Answer: 2*y**2 - 14146480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1129 - 4*y + 3*y**3 + y - 954 to the form v*y + u*y**3 + b*y**2 + w and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**6\/120 - f**3\/3 - 3*f**2. Let z(y) be the first derivative of w(y). Let d(b) = 2*b**2. Calculate d(z(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5614 is divided by 352.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0503 * -8047\nAnswer: -404.7641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 4*l**2 + 2*l + 2. Let s be h(4). Let k(m) = -m**3 + 11*m**2 - 8*m - 8. What is the remainder when 94 is divided by k(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 70. Let y(d) = d**2 + 5*d - 1. Determine y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5521 + 3314?\nAnswer: 12135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154303479.\nAnswer: 3, 11, 43, 67, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + -3 + -5 + (sqrt(60) - sqrt(240))\/sqrt(12))*6.\nAnswer: -6*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 - 4*j + 10. Suppose -26*p - 20 = -22*p. Let u be x(p). Solve 0 = d - u - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - a - 2*a)*(18 - 118 - 26)*(3 - 1 - 4)*(2*a - 4*a - a).\nAnswer: -756*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.41, 0.018, -0.0947?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*t = 148, -252*v + 256*v - 204 = -4*t. Solve -8*z - 54 = v*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 66*g + 2. Give b(3).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 475.44907 and -2.\nAnswer: 473.44907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 17 + 56 = 3*a, 38 = 3*a - 2*j. Let c be 8\/((-48)\/6) - a. Let u(s) = -s**2 + 4*s - 2. Let v be u(4). Sort 0, v, c.\nAnswer: c, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*k + 244 + 128, -4*f - 722 = -k. Let z be f\/(50\/80 + (-3)\/(-8)). Is 19 a factor of ((-3 + z)\/(-2))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, z: 3, f: 1, h: 3}. Give prob of sequence hh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 60*n = 64*n - 1, -8 = -2*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54\/1782 - 4*1990\/1320\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18966, 38608, 58254, 77904?\nAnswer: 97558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l + 1. Let g(d) = 18*d + 4. Let f(k) = 6*g(k) - 17*m(k). What is the derivative of f(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1304*h - 2620*h + 1317*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*c**2*w**3 + 243*c**2 - 5*c*w**3 + 2*w**2 - 35552*w wrt c?\nAnswer: 170*w**3 + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 933183027 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 525, 787, 1049, 1311?\nAnswer: 1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwhyhyhwxwyh. What is prob of sequence xy?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -4*x + 3*h, 98*x - 96*x + 26 = -2*h for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2. Let b(p) be the second derivative of -1\/12*p**4 + 0 + p + 0*p**2 + 0*p**3. Determine m(b(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**2 - 2*x + 1. Calculate t(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 665505 and 25?\nAnswer: 3327525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -0.4, 3, -1\/3 in ascending order.\nAnswer: -0.4, -1\/3, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/40 + d**5\/40 - 11*d**4\/24 - d**3\/6 + 14*d. Let f(o) be the second derivative of z(o). Is f(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**8\/112 + k**7\/70 - k**6\/20 - 7*k**2\/2 - 3. Let p(o) be the second derivative of i(o). Determine q so that p(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 241*z**5 - z**3 - 69*z**2 + 3*z wrt z?\nAnswer: 14460*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 - -66. Suppose c = z - q - 4*q - 4, -4*q = -z + 4. Suppose -i + 25 = 2*p, -2*p + 7 = -3. Solve -z*m + i = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a factor of 475202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3791.08 * 1027\nAnswer: 3893439.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 100c (base 15) to base 13\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/9)\/s*s*s**(-1\/18)*((s\/s**(-5))\/s*s)\/(((s*s**(-32))\/s)\/s))**(-13) assuming s is positive.\nAnswer: s**(-9217\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/9 - 3464*m\/9 + 6920\/9 = 0. What is m?\nAnswer: 2, 1730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17602.\nAnswer: 2, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Is x(8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 50*n**3 - 2*n**2 - 15*n + 16. What is l(1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61632140 to the power of 1\/2, to the nearest integer?\nAnswer: 7851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 4716*n - 1853388.\nAnswer: -3*(n - 786)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4.9. Let z = 3.89 - -0.11. Let m = 0 - z. Which is the second biggest value? (a) 3 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*o + 67*o - 5*r + 34, -2*o + 45*r - 65 = 13 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to 16.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {g: 4, i: 2, q: 1, v: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -28. Suppose c*y - 24 = -6*y. Suppose 44 = y*w + 8. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 8, o: 3, t: 7}. What is prob of sequence tww?\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 33 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - t - 4*t + t**2)*(3*t - 6*t + 2*t)*(-11 - 3 + 15) - 2*t + 2*t - 4*t**3 to the form j*t**3 + c + b*t**2 + s*t and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005024 to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 14*m**2 - 2*m - 3. Let c be l(-7). Let j = c + 7. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1237318, -1237324, -1237330, -1237336?\n\"Answer: -6*v - 1237312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, z: 1, v: 7, p: 2, i: 3}. What is prob of sequence vava?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-3)\/6)\/(1\/8). Let r be 2 + (i + 2)*1. Suppose 3*x - 2 - 13 = r. Solve x*l = 4*t + 5, t = l - 1 - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4212\/(-432))\/((-1)\/((-8)\/(-6)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 5*u - 955*u**3 - 349*u**3.\nAnswer: -1304*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363795 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-44)\/(-33))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*g - 4798 - 6470 = 0 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110001 + 3?\nAnswer: 110004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(252) - (-3 + 1 + sqrt(252) - sqrt(252)))**2 + sqrt(252) + 4*(sqrt(252) - (1*sqrt(252) + sqrt(252)))**2 + (-4 + sqrt(252)*-1*-6)**2)*-4.\nAnswer: -3096*sqrt(7) + 124224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(209)*-2)\/sqrt(11) - (sqrt(76)\/(sqrt(4) + (sqrt(4) - sqrt(16)\/sqrt(4))) - sqrt(19))) + ((sqrt(931) - (sqrt(931) - 2*sqrt(931))) + 2)*2*-4)**2.\nAnswer: 3776*sqrt(19) + 264812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24959.7 times -0.5?\nAnswer: -12479.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*f + 4. Suppose -h - 17 = -t - f, t + h - 15 = 0. Suppose -5*c - t = -10*c. Solve -5*g - 8 = -c*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, o: 3, a: 6, i: 1}. What is prob of picking 2 a, 1 o, and 1 i?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 divided by 18?\nAnswer: 74\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*d = 9*d - 41935, -n + 8399 = -3*d. Suppose -c = 4*t - 14850, 5*t + n = -c + 26953. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 32. Calculate w(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 1657, 5487, 12931, 25189, 43461, 68947, 102847?\nAnswer: 146361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 - -102. Let b be (-14)\/p + 19\/5. Suppose -b*q + 21 = 3*q. Solve -5*m = -2*j - j + 34, -q*m = -3*j + 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -744, 5, -5, -2\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46358*v**4 - 40457 wrt v?\nAnswer: -185432*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 times -1910?\nAnswer: -99.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnwwwnwnnntwwnwnwn. What is prob of picking 1 t and 3 w?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*g**2 - 2*g + 2*g.\nAnswer: 253*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.576 + -0.076. Let i = -5 + 12. What is the third smallest value in 0.1, i, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656171.6 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -165 + 331 - b - 169. Calculate the remainder when 27 is divided by c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.72182 months in millennia?\nAnswer: 0.004893485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 8}. What is prob of picking 2 u and 2 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 32171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (260\/15 + -5)*9. Let o = -105 + f. Calculate the smallest common multiple of o and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from jjqvvh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001332066886 rounded to five decimal places?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21999 = 48*w + 21279 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.4 + 12. Let b = 2.01 - 2.21. Put 7, q, b in decreasing order.\nAnswer: 7, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. Let j = 179\/70 + -2\/35. Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -796 - 19.84231\nAnswer: -815.84231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35616 and 672?\nAnswer: 35616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4809400 to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/36)\/(1\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 36 = x. Let m(n) = 3 + 2*n**2 + 4*n - 7*n**2 - 13*n + x*n**3 - 5*n**3. List the prime factors of m(-6).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215202248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.06 - 3. Let x = 2.06 - y. Let i = 0.5 + 0.5. Which is the biggest value? (a) 2\/5 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 655*w - 82*w - 11002 = 1031 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5, 2\/3, 3\/7, 106?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 0*r**2 + 2*r**2 + 0*r**2 - 7*r**2.\nAnswer: -5*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381376 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let y(n) = -9*n + 4. Let f(d) = -8*d + 3. Suppose 0 = -4*t + 5 - 17. Let j(l) = t*y(l) + 4*f(l). Calculate j(x(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + 796*f**3 + 1202*f wrt f?\nAnswer: 20*f**3 + 4776*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -437, -874, -1311, -1748, -2185, -2622?\n\"Answer: -437*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87046 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293543 - 57190. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 16*h**2 - 1. Calculate the remainder when m(-1) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700601347 minus 0.5?\nAnswer: 700601346.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 161.\nAnswer: 61\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 760157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1067.2917 + 81528.\nAnswer: 82595.2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.15 - -1.45. Sort n, 0.6, 2\/13 in decreasing order.\nAnswer: 0.6, n, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) 0.2 (b) 11\/3 (c) 1 (d) 2\/9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0*(1 + 9\/(-6)))\/(-2). Suppose o = 4*c - 4*w + 176, w - 133 = 3*c - w. Let m = c - -61. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.78 + -1.22. Which is the nearest to x? (a) 0 (b) -1\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-3)*(-2)\/(-3). Let m = 13 + h. Suppose -m = t - u - 6, 0 = t + 4*u - 16. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 373920345 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368 by -368.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/5 - 22*q**4\/5 - 243*q**3\/5 + 68*q**2\/5 + 676*q\/5 - 96 = 0. Calculate q.\nAnswer: -8, -2, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3 - 1118203*q**2 + 11710058*q?\nAnswer: 12*q - 2236406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 44, -2\/5029, 4?\nAnswer: -2\/5029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 - 11*v - 7. Let m(o) = 4*o**2 + 13*o + 5. What is 6*b(k) + 5*m(k)?\nAnswer: -4*k**2 - k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/9, -27\/5, -2\/3, -23\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710954 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hshsjjswjhjsshhj. Give prob of picking 1 j and 2 s.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.1, 298.6, 1\/6, 2\/11, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/11 (b) 2 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1940*j**2*y + j**2 + 29*y - 3713 with respect to j.\nAnswer: 3880*j*y + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3) + 462\/18. Suppose -f = 3*n - 4*n - 3*o, -135 = -5*n + 4*o. Round n to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176949909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 + 842 = -290*w - 3760 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2383621 is divided by 441?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 23 = -3*y, 0 = c - 4*c + 3*y - 9. Suppose c*d - 5*n = d + 62, 0 = -3*d - 2*n + 186. Suppose 0*z = -2*z + d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -913 (b) -1 (c) 183\/98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + ((sqrt(125) + 4 - sqrt(125)) + sqrt(125) - sqrt(125) - sqrt(125)))*-3)**2.\nAnswer: -25920*sqrt(5) + 61236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 + 244 = 0. Let t = -3 - b. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2450 - -2482. Suppose 4*b = -0*b + 24. What is the remainder when o is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7*89)\/(2552\/6699*3\/4)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -71 - (-4 - 1) - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334111020 + 2?\nAnswer: -334111014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3528\/11 + -10583\/33. Which is the second smallest value? (a) 32 (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 321?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/4680 and -49\/702.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-18) - (-70)\/6. Let i = -12 + u. What is l in 0*l**3 + 0*l**2 - i*l**4 + 0*l + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 69. Let j = -17 + x. Calculate the remainder when 30 is divided by ((-34)\/4)\/(j\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -34*p**2 - 5*p + 5. Let d(r) = 17*r**2 + 3*r - 3. Give -5*d(l) - 3*z(l).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*35\/15*-3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 - 27355300*v**2\/9 + 31179748749352*v\/3 - 145504898426608.\nAnswer: 2*(v - 6838818)**2*(v - 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 198609119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21212330331 (base 4) to base 15\nAnswer: -34b4d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*f**2)*(-3 - 2 + 3) + (-2 + 3 - 3)*(-f**2 + 0 + 0) + 2*f**2 + 3*f - 3*f - 13*f**2 + 0*f**2 - 7*f**2.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-89 - -184 - 63)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 16*d - 23. Let c be v(-17). Let p(j) = -2*j**2 - 12*j + 2. Let y be p(c). Solve 3*t = -4 - y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912108877.\nAnswer: 31, 29422867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -904412*v. Let i(m) = 2*m**2. Determine i(q(x)).\nAnswer: 1635922131488*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*i - 70*i - 59293. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let u be (0 + w)*(-1 - -2). Suppose -f + 118 + u = 3*n, 3*f - 329 = 5*n. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -173, -3052, -10873, -26108, -51229?\n\"Answer: -412*c**3 + c**2 + 2*c + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 - 25*y - 25. Let g(q) = -q**2 - 4*q - 4. Let l(v) = 25*g(v) - 4*n(v). Let s = 77 + -70. Let t(f) = s*f + 2*f + 5*f - 13*f. Calculate l(t(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334344 + -5?\nAnswer: -334353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*k**4 - k**3 - 4*k**2 + 3*k + 491933 with respect to k.\nAnswer: 52*k**3 - 3*k**2 - 8*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -263*g**2*n**2 - 348*g**2 - g*n**2 - g*n - 2*n**2 - n - 11378 wrt g.\nAnswer: -526*g*n**2 - 696*g - n**2 - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 17 = -17. Let p(w) be the third derivative of 1\/8*w**3 - 1\/240*w**5 + w**2 - 1\/48*w**4 + 0 + t*w. Let p(z) = 0. What is z?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 4:29 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9497.794 kilometers to meters.\nAnswer: 9497794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751239, -3004955, -6761149, -12019821, -18780971, -27044599, -36810705?\nAnswer: -48079289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = y - 5*o, 0 = 2*y - 3*o + 313 - 85. Let p be (-1942)\/(-9)*y\/(-32). Let n = -807 + p. Find the common denominator of -8 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 37*y + 67. Calculate m(-17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 - 8*h**2 + 6*h**3 + 4 + 11*h**2 - 5 + h - 5*h**3. Let w = -7 - -3. Let p(r) = 5*r**3 - 11*r**2 + 5*r - 5. Give w*p(q) + 22*o(q).\nAnswer: 2*q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 292 - 306 = 9*y, -y = 2*r - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 + 25*c**3 - 10*c**3.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -20*y - 32. Let h = 47 + -37. Calculate the remainder when v(-4) is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98813.18 rounded to the nearest one hundred?\nAnswer: -98800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**4 - n**4 + 0*n**4 + (386 - 212*n**4 - 386)*(-1 + 2 - 2).\nAnswer: 215*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99203*u = -99247*u - 3696 for u.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -13 + 8 + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -26*u**3 + u**2 + 2*u + 1. Let q = 2 + -3. Let s be t(q). Let c = 61 - s. Calculate the highest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(1\/13)))**(-3))**(2\/5) assuming n is positive.\nAnswer: n**(6\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-5\/3))\/(t**(-2\/3)*t) assuming t is positive.\nAnswer: t**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6639*o**3 + 5612*o**2 wrt o.\nAnswer: 39834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0049969 to 4 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103470286 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 345 - 340. What is the second biggest value in 2\/9, -10, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2661953 or 2661954?\nAnswer: 2661953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837.8961 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 - 1045*n + 4 + n**2 - 2*n**4 - 5 + 1042*n in the form q*n**3 + p*n**4 + f*n + s + h*n**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4444\/3 - -1522. Let s = h - 41. Let a = -18.1 + 16.1. What is the closest to 0.1 in 0.5, s, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171592775 to the power of 1\/3, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 0 = 2*t - 0 - 14 - 2, 0 = 2*t + 62*d + 624 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -84344, -84345, -84346, -84347, -84348?\n\"Answer: -s - 84343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7643 + -3220. What is the remainder when n is divided by 631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 9*o - 4. Let t(q) = -q + 28. Let r be t(23). Give h(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 3*v)*(-4 + 0 + 2 + v**2).\nAnswer: 3*v**3 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/70)\/((-2)\/230)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -12. Let q = h + -10. Calculate the least common multiple of -2 + 9 - q\/2 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(608) + sqrt(608) + sqrt(38))\/(sqrt(2)*1*4 - sqrt(2)) - (5 + -6*(sqrt(304) + -1))**2.\nAnswer: -11065 + 1597*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147.65 - -138. Let t = 10 + k. Let f = t + -0.27. Put f, -4, 2 in descending order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(-13)\/(-104)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooozoozzooo. What is prob of sequence zzoo?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*t + 2619 = 0, -n + 5*t = 2*t + 1314. What is n rounded to the nearest ten?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/222115 and 45\/248.\nAnswer: 1776920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 2329*r**6\/6 - 46*r**3\/3 + 7*r**2\/2 + 321. What is the third derivative of v(q) wrt q?\nAnswer: 139740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -19 + 5*s + 19 + 6. Let q be k(-2). Let h(w) be the third derivative of -w**4\/24 + w**3\/3 - w**2. Calculate h(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 68 in increasing order.\nAnswer: 2, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u + 47 + 33. Let d(g) be the second derivative of g + 0 + 1\/2*g**2 - 1\/6*g**3. Calculate d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -277 + 279. Let s(k) = 4*k + 31*k**2 + x - 6*k - 2*k - 30*k**2. Let u(h) = h**2 - 3*h + 2. Determine -3*s(b) + 2*u(b).\nAnswer: -b**2 + 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*x - 4*q, 4*x - 9 = -5*q + 17. What is the third biggest value in 0.5, 0.3, -0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18 + (15 - 40))*((-6)\/21)\/(-1). Suppose 12 = o + 3*m - 7*m, 9 = -3*m. Which is the nearest to o? (a) l (b) -4\/3 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -29. Let i = 5 - l. Suppose i*p - 2*p = 0. What is p rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1132 + 177775?\nAnswer: 176643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/61732548 and -13\/24?\nAnswer: 123465096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7306.9836789 - 7248.6836. Let h = 58.3 - v. Round h to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 6*q + 2. Let p(v) = 2*v**2 - 7*v - 1. Calculate 6*p(z) + 7*s(z).\nAnswer: 5*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591700637 a multiple of 872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from ccrrcccc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-21)\/(-90) + (-21)\/(2205\/14). Let p be (3\/(-22))\/((-1)\/2). Which is the nearest to 0? (a) -0.5 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -9*l**2\/2 + 3. Let y(s) = -81 - s**2 - 86 + 167. Calculate y(v(k)).\nAnswer: -81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -70. Solve 2*o - 5*w - 24 = r, -3*w - 18 = o + 2*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yizdjsi. Give prob of picking 1 y and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 2*l**7\/7 - l**4\/2 - 10*l. What is the third derivative of t(q) wrt q?\nAnswer: 720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**8\/14280 + u**7\/3570 - u**6\/3060 - u**3\/3 - 2. Let f(a) be the third derivative of y(a). Factor f(z).\nAnswer: -2*z**2*(z - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8827\/105 + 5\/(-75). Which is bigger: 90 or k?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - 0 - ((30 - 28) + -13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12 = 4*h, 5*z + 3*h + 28 = -h. Is -2 + 3492 - (1 + z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 1. Let j(r) = 8*r - 6. Let c(y) = -6*g(y) - j(y). Let l(i) be the first derivative of -6*i**3 + 5. What is l(c(x))?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**3\/3 + 19*b**2\/2 + 9*b - 637. Let n(v) = v**3 - v**2 + v + 9. Let p be n(0). Is a(p) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -5002553.\nAnswer: 1\/5002553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 12*i + 8. Let v be j(-4). What is the hundreds digit of -1821*(-16)\/84 - v\/(-56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -47, -113, -195, -287, -383?\n\"Answer: b**3 - 17*b**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 9*p**2 - 17*p - 41. Let b be t(4). Let k(u) = -u**3 - 28*u**2 + 30*u + 26. Calculate k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 3\/2, 13.5, -1\/2, 0.2, 0.04?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000486 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766 - 21*c**2 + 385 + 381 - 9*c**2 + 10*c**2.\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 592409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -30500343.\nAnswer: -2\/30500343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v = 89*v + 6288 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + -1 - (22 + (-68 - -60))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 88 = 13*d. Suppose 2441 = 16*m - d*m - 3*l, -3*l + 968 = 2*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:48 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -655159832.\nAnswer: -655159832.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, r: 3}. Give prob of picking 1 r and 2 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*k + 43*k. Which is the third smallest value? (a) k (b) 0.2 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**3 + 4*b**3 - 2*b**3 + (2*b - b**2 - 2*b)*(3*b - 6*b + b) + 2*b**3 + 6*b**3 + b**3 in the form y*b**3 + x*b**2 + v*b + u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12*m. Let p(h) = -1. Let t(n) = n + 18. Let v be t(-17). Let z(k) = 2*k + 5. Let i(y) = v*z(y) + 5*p(y). Determine i(f(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 + 163. Calculate the highest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 14*m**2 - 17*m - 2. Let n be g(-8). Let u(a) = -20 + 20 - 5*a**2 - 10*a + 8*a. Let y(l) = 4*l**2 + 2*l. Give n*u(v) + 7*y(v).\nAnswer: -2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -5.6. Let k(g) be the first derivative of -g**2 - 8*g + 1. Let u be k(-6). Which is the third smallest value? (a) -4\/7 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 1581.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1771 and 506.\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.461 - -0.061. Suppose -1 = -g + 3. Put m, g, -4 in increasing order.\nAnswer: -4, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -7.\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 766396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19878507 is divided by 121954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**4 - 5*l**3 + 7*l**2 + l + 6. Let k(b) = -5*b**2 + b**3 - b - 1 + 2*b + 4*b**2 + 0*b**3. Let v(z) = 4*k(z) + r(z). Factor v(c).\nAnswer: -(c - 2)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j - 35 = 3*d, 5*d = -5*j. Suppose 4*b - b = -j*c + 24, 0 = b + 5*c + 2. What is the highest common divisor of b and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55776326.77175588 + -189573265.52824434. Let g = w - -245349603. Let y = 10.7 - g. What is y rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 321725 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 396 + -410. Let w(b) = 6*b**2 - 10 - 2 - 19*b**2 - b**3 + 9*b. Is w(f) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/16)\/(v*(v\/(v\/(v*v*v**(-14)\/v)))\/v*v*v))**16\/(((v*(v**(1\/3)\/v)\/v)\/v)**(19\/3)\/((v*v**(1\/3)*v)\/v*v)**(-9)) assuming v is positive.\nAnswer: v**(1499\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*v + 1 + 286*v**3 + 15*v - 14*v + 38*v wrt v?\nAnswer: 1716*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165870288 divided by -3.\nAnswer: -55290096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1318\/3, 4, -0.3, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/84 - (-55)\/(-70). What is the closest to 1\/2 in g, 2, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*n**2 - 3*l**2*n + 3*l**2 + 20130239*l*n**2 - 20*l*n + 2*l + 4438*n + 5 wrt n?\nAnswer: 2*l**2 + 40260478*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -842, -1221, -1544, -1793, -1950, -1997, -1916?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -a. What is the second derivative of -n - 6*n**4 + 2*n**4 + n**a wrt n?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 + 9*w. Let j be h(-7). Suppose -3*m + m = -3*q + j, m = -5*q - 104. What is the units digit of m\/(-6) - (-3)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.222\nAnswer: 0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hphmeezozmmeehh. What is prob of sequence hzzh?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 547871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z - 7. Let f(w) = 5*w - 3. What is -11*f(l) + 4*r(l)?\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 32130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 896263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2225701633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 277*l - 467 + 276 - 363. Let t = 3 + -2.8. What is the nearest to 2 in t, l, -35?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(-30) + 15970\/12 + 23 + -29 is divided by 95.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728564 is divided by 104080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let m(o) = 16648*o. Give m(v(p)).\nAnswer: -16648*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 9. Let c be v(9). Let k(x) = 1 + 1 + c + x - 7. Calculate k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 20*f - 263. Let d(n) = 5*n - 66. Let x(b) = 9*d(b) - 2*s(b). Find the first derivative of x(g) wrt g.\nAnswer: 4*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214334*n + 4818 - 4818.\nAnswer: -214334*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 10, -126*c - 3*w = -127*c + 53216. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 157. Let d(i) = 30*i + 1330. Calculate the remainder when h(0) is divided by d(-43).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2 - 0)\/(-20*(-27)\/12420).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/48 and 151\/528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -156*f. Let x(h) = 2*h + 12*h + 8*h + 4*h - 14*h. Determine s(x(b)).\nAnswer: -1872*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-12))\/(2\/132). Suppose y + 2*y + r = c, -4*c = -y - 99. Suppose 4*n - 3 = c. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/791, -3913\/9, 3\/8, 1\/2, 0.1 in increasing order.\nAnswer: -3913\/9, 2\/791, 0.1, 3\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 2 + 0 - 1. Let t = -204 - -207. Determine k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/8*(1004\/60 - 17)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358 is divided by 542.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-42)\/b)\/(b\/(b**(-7\/3)\/b)))\/(b**(-4\/25))**28 assuming b is positive.\nAnswer: b**(-3214\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from fqqdoqqf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16259378 and 646068?\nAnswer: 97556268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.5, 1169?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 11) to base 12\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(7\/5)*w*w**18 assuming w is positive.\nAnswer: w**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(((x\/x**(-3)*x*x*x)\/x)\/x)*x*x)*x**(-13))\/((x\/(x*x*x\/x**(-2)*x*x*x*x))\/(x\/(x*x\/x**(2\/19))*x)) assuming x is positive.\nAnswer: x**(-55\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-9)*0)\/(-2))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*y - 57 = -3*y, -3*y = 4*r + 81. Let v = r + 21. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - u - u + 0*u**3 + 3*u - 2*u**3 to n + c*u**3 + q*u**2 + s*u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3.5 (b) 1575 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03459 * -6.6.\nAnswer: 0.228294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 5*c + 4. Let f be a(-2). Factor 1\/3*k**3 - k + 0*k**f + 2\/3.\nAnswer: (k - 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5785 and 103\/130.\nAnswer: 11570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.452 - 125.548. Which is the third biggest value? (a) 2\/9 (b) l (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 1, -8688, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 2*f - 5*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(5*-5*(-7)\/(-70)))\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170289)\/(-8505) - (-7)\/(-315) - -9*12.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2 - 33280*j + 99876 = 0. What is j?\nAnswer: -8323, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-8))\/(-5)*104\/130. Solve p*b - 1\/5*b**2 - 2\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3115.95231574713223 - 0.04768212986777. Let c = k - -3116. Round c to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1722.4 + 1715.4. Let i be (0 - -3) + -1 + 242\/(-88). What is the closest to 1 in 0.06, 5, h, i?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from pppppnppppppppppnp.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 - 4)\/((-99)\/(-6)). What is the third smallest value in h, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.074 * -3299550.\nAnswer: -244166.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -274 + 273.914. What is d rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - 0.1. What is the biggest value in f, -12, -0.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, 92, 0, 13, -214.\nAnswer: -214, -5, -3, 0, 3, 13, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b + 21. Let q(r) = 5*r - 21. Let h(v) = 6*k(v) + 4*q(v). Does 44 divide h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17128209, -68512828, -154153859, -274051302, -428205157?\nAnswer: -616615424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101? (a) -3 (b) 0.6 (c) -21557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(4\/8*150\/(-2100))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4605, -0.3, -9, 1\/32, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -19*u + 54. Let k be a(-5). Let o = 134 - k. Is o < -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17751, -35498, -53245?\nAnswer: -70992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-901 + 835)*2\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*y + 18, 0 = -3*d - 5*y + 57 - 11. Let x be 6\/d*58\/1. Let n = -6 - -11. Solve g - f - 6 = -3*f, n*f - x = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1536782 + -1536934.99923. Let w = k + 153. Round w to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 3651?\nAnswer: 3655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + u - 4*u + (u + 0*u + 0*u)*(-4 - 2 + 5) + (-3*u + 2 - 2)*(6 - 13 - 9) in the form g + v*u and give v.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 - 1.5. Which is the nearest to 0? (a) g (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.141147 to zero dps.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2231 (base 5) to base 4\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -21041724.12 to the nearest one thousand.\nAnswer: -21042000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 440\/105*132\/(-88)*(-1)\/(-2)\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -814.\nAnswer: -7\/814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158 + 158 - 102)*(6 + 3 - 5)*(-8*k - 41*k - 31*k + 5*k).\nAnswer: -64200*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/6*6\/(-8). Let o be ((-119)\/357)\/(h\/3 + -1). Put 6, -2\/11, o, 4\/5 in decreasing order.\nAnswer: 6, 4\/5, -2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -21. Let f = -9 + i. Put 5, f, -1\/5 in ascending order.\nAnswer: -1\/5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 14*c + 17. Suppose -3*m = m - 52. Let p be g(m). Suppose 0 = -5*j + 129 - p. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 + -4 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 10*p**2 - 9*p - 20. Give y(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -48 + (2 - (5 - (0 - -5)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157277861, -157277884, -157277921, -157277978, -157278061, -157278176?\nAnswer: -157278329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40649.59ms to nanoseconds.\nAnswer: 40649590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -3*m, -2*m = 4*t - 32. Suppose -t*q + 392 = -586. Find h such that -177*h - 2*h**4 + 3*h**4 + q*h - 4 - 18*h**2 - 3*h**4 - 10*h**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -21. Put 4, q, -2 in increasing order.\nAnswer: q, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(816)\/sqrt(3))**2 + (sqrt(102)\/sqrt(24))**2)*-5 - (sqrt(612)*-4 + 2 + sqrt(1377) + -3).\nAnswer: -27621\/4 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9762, 9766, 9770, 9774, 9778, 9782?\n\"Answer: 4*h + 9758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(152)*-1 + sqrt(152))\/sqrt(8) - ((sqrt(1900) + (3*sqrt(1900) - sqrt(1900)))*6)**2).\nAnswer: 3078000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 524, 520, 514, 506, 496, 484, 470?\n\"Answer: -y**2 - y + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8472 is divided by 403.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 377681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 30 = -2*t, -2 = 2*z - 8*t + 6*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3082 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: What is the closest to -1.5 in -4, 0.2, 4, -6, 5\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + (-3)\/((-108)\/(-318)). Solve q*w**2 - w + 3\/2 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543 - 4439?\nAnswer: -5982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5408)\/364)\/(-26))\/((-5)\/((-245)\/2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -1.8. Let x be (-9 - 325\/(-35))\/1. Which is the nearest to 8? (a) p (b) x (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -62.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 105d69 - 2?\nAnswer: 105d67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**4\/2 + 7*n**3\/3 - 9182*n**2. Let r(t) = -6*t. Determine r(o(b)).\nAnswer: -72*b - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 12 = 4*t, -4*t - 24 = 2*l - 6*l. Let m(w) = 11*w**3 - 8*w. Let x(d) = -5*d**3 + 4*d. Give l*m(o) + 13*x(o).\nAnswer: o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**4*t**2 + 12016039*r*t**2 + 11*t**2 - t - 11444 with respect to r.\nAnswer: 4*r**3*t**2 + 12016039*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.67.\nAnswer: 0.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 3*s**3 + 14*s - 4 - 5.\nAnswer: -3*s**3 + 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -639400 rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 16*c - 7. Let g be h(12). Suppose -p - 3*k = -g, 0 = -3*p + p - k + 380. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38e + 3dd7?\nAnswer: 3a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovqjb. Give prob of sequence jqbv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -442\/11. Let t = 36 - 23. What is the smallest value in -0.3, 2\/11, k, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 4. Suppose 73 = 5*t - i. Solve 3*j - 10 = -5*v, v + 3 = 4*j - t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26043, 26167, 26213, 26181, 26071, 25883?\nAnswer: 25617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/65 - 151\/455. Put -0.5, -0.2, v, 1 in decreasing order.\nAnswer: 1, -0.2, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -635.820567 rounded to one dp?\nAnswer: -635.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1537cb + 5?\nAnswer: 153803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(102) - 5*sqrt(102)) + sqrt(102))*2*3)\/(sqrt(6) - (sqrt(24)*3 - sqrt(24)) - sqrt(6) - (sqrt(36) + sqrt(4356))\/sqrt(6)).\nAnswer: 45*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(1*-6) + 3 + (-4715)\/410. Let w(u) = 9*u + 29. Suppose -j - 13 = -6. Let x(k) = -4*k - 15. Let z(y) = j*x(y) - 3*w(y). Calculate z(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16699\/8 - 2084. Let c = -97\/24 + o. Which is bigger: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121792359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2000 = 5*b + 11*k - 9*k, 0 = b - k + 400. Round b to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 1\/10*t**5 + 0*t**3 + 11\/3*t**4 + 0 + 9*t + 13\/30*t**6 + 0*t**2. Find the third derivative of l(r) wrt r.\nAnswer: 312*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*c - 6 = 0, 2*o + 2*c = 3*c + 3. What is the remainder when (-1)\/o - (-154)\/4 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/7 + 12*g**4\/7 - 4*g**3 + 32*g**2\/7 - 18*g\/7 + 4\/7 = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 1 + 1 + 4*g - g - 2*g + (0*g + 2*g + g)*(0 - 2 - 1) + 2*g - 2*g + 2*g to the form o + j*g and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 + -39. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15643*u**2 - 15575*u**2 + 30702*u**2.\nAnswer: -516*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 7:12 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 15) to base 6\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0415153902 rounded to five dps?\nAnswer: 0.04152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 8*w**2 - 28*w - 24. Let y be i(-11). Let p = 191 - y. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -983.95448 + 984. Let w = j - 0.046. Round w to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75\/(-30)*6\/(-5) - -57. Let n = 13 + t. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2 + 2. Suppose -x*i = 19 + 17. Let y = i + 28. What is the remainder when 18 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70865 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*(s**(-40)*s)\/s*s*(s*s\/s**(4\/5))\/s*s*s*s*(s*(s\/(s*s**(-2\/15)))\/s)\/s*s*(s\/s**(-17))\/s*s assuming s is positive.\nAnswer: s**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = -10. List the prime factors of h + 5 + 43 - -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(13))*6)**2*-3.\nAnswer: -1512 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4, 1\/55 in decreasing order.\nAnswer: 4, 2\/3, 1\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/21)\/(1\/(-7)). Solve 11*u + 15 = n*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -406, -668, -954, -1276, -1646?\n\"Answer: -2*z**3 - 248*z - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*n - 2*x = -132*n + 26, -x + 2*x + 94 = 5*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -13*w**2 + 5*w + 12. Let g(f) = 45*f**2 - 18*f - 42. Let c(q) = 5*g(q) + 18*i(q). Find the first derivative of c(p) wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -6*s - 80. Suppose 0 = -7*m + s*m. Suppose 2*y - 240 + 36 = m. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 6:58 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 9, u: 1, i: 1, h: 7}. What is prob of picking 1 h and 1 i?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -5. Suppose -4*b - i + 25 = 0, -5*b + i + i + 15 = 0. Suppose -3*k - m = -3*z, -z - 2*k = -b*z + 16. Solve 36 + 4 = 5*u - z*c, 4*u + 3*c = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**3 - 184*t**2 - 65*t + 95. Let v be d(31). Solve -26*c + 30*c = v*l + 26, -5*l = 3*c + 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 103, 147, 187, 223, 255, 283?\n\"Answer: -2*y**2 + 54*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l**3 + 0*l)*(0*l - 3*l + 4*l)*(0 - 2*l + 0).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 989567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 9*p**3 + 0*p**3 + 8*p**3. Let d(i) = -2*i**3 + 3*i**2 - 3*i. Determine -d(n) + 3*u(n).\nAnswer: -n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2463 by 398.\nAnswer: -2463\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*(-3)\/6)\/(40 + -39). Solve w = 5*m - 130 + 130 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4) + (-15)\/10)\/(-1). Let x(l) = -2*l**2 - 15. Let g(r) = r**2 + 8 - 4*r + 4*r. Let s(j) = -5*g(j) - 3*x(j). Calculate s(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 + 10*c**3 - 561 + 544 + 87*c - c**3 - 84*c. Let x(u) = 5*u**3 + 4*u**2 + 2*u - 9. Give -3*a(j) + 5*x(j).\nAnswer: -2*j**3 - j**2 + j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-3 - -4) + (-20 - (-6 + -45))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**7\/5040 - z**6\/720 + z**5\/20 + 3*z**2. Let s(r) be the third derivative of p(r). Calculate s(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.017 (b) 14\/9 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*g + 702*g - 22 + 612*g - 166*g + 117*g.\nAnswer: 1128*g - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbdbbbdbdbb. What is prob of sequence db?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = -5*c + 6, c - 3 = 0. Is 1 - z*(-148)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5539 minus 3?\nAnswer: -5542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + 0.7. Let n = -0.544 - -0.614. What is the biggest value in -5, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 88 + 0*n + 84 + 3*n - n - 3*n + (5 - 3 - 3)*(-2*n + 7*n - 3*n) - n + n + n to the form r*n + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/(-3))\/3 - 0. Suppose 3*d + 60 = 2*b, -5*b + v*d - 34 = -202. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 26 = 2*c + 3*y, c - 5*y = 0. Let s be 2\/c + (-24)\/(-5). Suppose 15 = -s*w + 40. Solve 0 = -0*o + w*o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 187 and -12439.2563.\nAnswer: -12252.2563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5455.418 rounded to the nearest integer?\nAnswer: -5455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33303 or 33926?\nAnswer: 33926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*i = -19, 0 = -5*l + i + 12 + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14217 and 1109603.\nAnswer: 23301663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {m: 6, a: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2489*n**3 - 69*n**2 - 365*n - 13. Is w(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200*b**5 - 334080*b**4 - b**2 - 1126124752*b wrt b?\nAnswer: -4000*b**3 - 4008960*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -27*h - 7. Let v(m) = 2. Calculate -r(w) - 4*v(w).\nAnswer: 27*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/2)*x)\/(x**(-4\/9)\/x))\/(x*(x*x**(3\/8))\/x*(x*(x**(3\/7)\/x*x)\/x)\/x*x*x*x) assuming x is positive.\nAnswer: x**(71\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7401094 and -4.\nAnswer: 29604376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153691500 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.99999925 + -7. What is h rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k - 3. Suppose 21 = 2*i - n, 8*n + 54 = 5*i + 4*n. What is the lowest common multiple of i and m(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*x**2 - 22*x**2 + 508*x - 12*x**3 - 460*x + 540 + 3*x**4 = 0.\nAnswer: -5, -2, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 28 = 53 - 45. Put -0.5, -1\/121, 0.7, m, 1\/3 in decreasing order.\nAnswer: m, 0.7, 1\/3, -1\/121, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2. Let f(o) = -8*o**2 - o. Determine f(p) + 4*w(p).\nAnswer: -4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70393918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**4\/12 - 11*f**3\/2 - 48*f**2 - 9*f - 7. What is l(-30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35549316 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -268? (a) 20\/7 (b) 4 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/5)*(o\/o**(-2\/13))\/o*o)\/((o\/o**(-1))\/(o*o**(-2\/11)\/o)) assuming o is positive.\nAnswer: o**(-1164\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 3, r: 7, c: 5}. What is prob of sequence acrr?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 692379047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 387 - 366. Suppose v*x = -3*x + 288. What is the remainder when x is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 21 - (1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188024 by -19.\nAnswer: 9896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k. Suppose -4*v - 4*f - 20 = -k*f, -4*v + f + 5 = 0. Suppose -3*l + l = -4. Solve m - 3*m + l = v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 120 + (10 + -6 - 1). Suppose -12 = -127*k + l*k. Solve i - k*m = 7 - 0, -5*i + 5*m + 15 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 87306344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 9*t**2 - 14*t - 24. Give r(-9).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660154 (base 9) to base 3.\nAnswer: 202000011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(48) + 1))**2*-5.\nAnswer: -11520 - 5760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1.2. Let t = -0.2 - p. Let m be (-70)\/30 - -4 - (-32)\/(-30). Sort t, 0.1, m.\nAnswer: t, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t**2 - 1098*t - 3151. Determine f(-119).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-3\/8)*s**(2\/63) assuming s is positive.\nAnswer: s**(331\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 2*z. Suppose 50 = 5*q + 5*o, -3*q - 2*o = -7*q + 34. Let i be (q\/6)\/((-3)\/4). Calculate the remainder when l(i) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -663.0713 to the nearest ten.\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353665759?\nAnswer: 29, 12195371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**2 + c - 1. Let z be s(1). Let n = -2 + z. Let f(m) = m**3 - 5*m**2 + 4. What is f(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 10 = -3*b. Let k = 2.2 + -0.2. Let c = -0.38 - -0.58. What is the nearest to k in -0.3, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482579661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2247668 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-10)\/((-140)\/42).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 32, 47, 78, 131, 212, 327?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 1371 (c) 4.75 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 2*s, -3*s + 3 + 6 = -h. Suppose 6*f - 4*f = -5*o + 37745, o = -h. Round f to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**5\/20 - 2529*z**2. Let v be 8\/36 - (-136)\/36. Let r(l) = 6*l**2 - v*l**2 - 2*l**2 + 8*l**2. Calculate r(h(m)).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*j**2 + 29037*c*j - 49523*j**2 wrt j?\nAnswer: 2*c - 99046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (249\/2905)\/(4\/20).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = -2*p + 4, -5*b = 2*p - 20. Solve 5*n - b*u = 16, u = n + 3*u + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*x + 47, -8*x = j - 3*x - 29. Suppose 9*t = 13*t - 76. What is the highest common divisor of t and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 74933570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*h = -15, 5*h + 3 + 6 = 2*c. What is the third derivative of -10*o**c + 20*o**5 + 38*o**5 - o**5 wrt o?\nAnswer: 3420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847) + -2 + (4 + sqrt(847) - sqrt(847)))**2 - ((sqrt(7) + sqrt(49)\/(sqrt(35)\/sqrt(5)))*-3)**2.\nAnswer: 88*sqrt(7) + 3140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Suppose -r = -1 - l. Suppose r*x = -2*x. Solve -2*t = -8 - x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, 10, 28, 46, 64?\n\"Answer: 18*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*r - 147 = 6*r, 0 = 4*v + 2*r - 642. Let h(g) = 157*g**2 + 2. Let z be h(1). Are z and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16622 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 269*f**3*n - 41*f**3 - 3*f**2 wrt n.\nAnswer: 269*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i**3*k**3 + 3*i**3 + 29*i*k**3 + 15*i*k**2 wrt i?\nAnswer: -54*i*k**3 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39 + -59b5?\nAnswer: -5a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((-14)\/(-105))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 + 6*h**4 - 48*h**3 - 416*h**2 - 768*h.\nAnswer: h*(h - 8)*(h + 4)**2*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4368 divided by -364\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)*b*b**(-3)*b)**(1\/15) assuming b is positive.\nAnswer: b**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2604 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 8) to base 13\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2560 and 14400?\nAnswer: 115200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f - 10 - 2*f - 7*f wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 2146?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3 + 14\/4). Let j(t) = -22*t - 4. Let f(h) = 23*h + 4. Let o(b) = c*j(b) + 3*f(b). Calculate the remainder when o(-3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kddkjxjakxcc. Give prob of picking 1 d and 1 c.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 45, 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 296\/9 - 763\/18. Calculate the common denominator of -11\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 - (4 - (-193)\/(-42)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 1, v: 4, m: 1, j: 4, x: 2}. What is prob of sequence qjv?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*t + t = 8, 5*t + 5 = 0. Let a(m) = 2*m**3 - 2*m**2 + m + 4. Let w(p) = 8*p**3 - 9*p**2 + 5*p + 17. Give d*w(x) + 9*a(x).\nAnswer: 2*x**3 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(30)\/sqrt(2))\/(sqrt(5)*2*-3).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20457963 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a3a3 (base 15) to base 14.\nAnswer: 8b424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - -5 - (106 - 103).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*j**3*t - 22057*j**3 + 3*j**2*t + 8*t wrt t.\nAnswer: -58*j**3 + 3*j**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117573 - 117572.99700033. Let z = 0.003 - a. What is z rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o**(2\/19)*o))))\/(o\/(o*o**(-24)\/o)) assuming o is positive.\nAnswer: o**(-477\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5 - 92*w**4 + 172*w**3 + 37648*w**2 + 110422*w + 73036 = 0?\nAnswer: -31, -2, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-22))\/(-1*1\/2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 203*n**2. Let h(i) = 2*i**2. Determine h(s(v)).\nAnswer: 82418*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 30 = -16*g. Let d = -16 - -9. Let u = 5 - d. Is g at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0468 + -0.0468. Let x be (-3)\/5*(-22)\/(-33). What is the closest to -0.9 in x, -0.2, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (10414\/(-123) - -42)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-3) - 2\/(-6). Factor 0*c**3 - 9 + 14*c + 5*c**2 + c**3 - y*c.\nAnswer: (c - 1)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*w - 1948 + 298 = 0 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-868)\/2170)\/(4\/90).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2025973*v - 5. Let r be s(3). Let y = r - -9377924. Round y to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 101110?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(23 + 2*d - 23).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 224014918092 and 4.\nAnswer: 224014918096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (624\/(-112))\/(321\/2996)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1190170 and 63750?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 215553110 (base 6) to base 11\nAnswer: 2237031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 603157 divided by 80.\nAnswer: 603157\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(0*w**2 + 2*w**2 - 3*w**2) + 0*w**2 + 0*w**2 - 2*w**2 - 688*w**2 - 693*w**2 + 1387*w**2 to the form i*w + c + s*w**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y + 4. What is j(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3006 divided by -6.\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39076397*m**2 - 34*m - 191374 wrt m?\nAnswer: 78152794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13321 and 2079.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.7 less than 6?\nAnswer: -395.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1289 and 77\/4?\nAnswer: 5156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5545 + -815. List the prime factors of a.\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3294 + -3258.59. Let f = -35 + m. Let j = f - 0.4308. What is j rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-20) - (-1617)\/330. Let r be -28*(-12)\/14*1. Suppose -3*u - 4*d = 2*u - 16, 5*u - 4*d = r. Solve 0 = -2*n + 5*f - 4, 3*f + p = 5*n - u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43903 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (-7 - (1 + -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 + 2*z**2 + 2*z + 1. Let m = 18 - 20. Let n be -4 - (5 + m + -6). Let f be n - (3\/3 - 1). Calculate c(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 30*s + 25*s - 8 + 20)*(5*s**2 - 1 + 1) as l*s**3 + b*s + f + n*s**2 and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + p - 26, 14 = 2*u + 36*p - 35*p. Solve -2*h = -0*h - u, 8 = r + 4*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/895818 and 61\/40425.\nAnswer: 22395450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 2*u**2 - u - 1. Let l be b(2). Let i = -7 - l. Let a = -3 + 4. Sort i, -1, a in decreasing order.\nAnswer: a, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0) + (-21)\/(-6). Suppose 0*v = -v + 4*i + 2, 0 = 4*v + 5*i - 8. Solve -s*d + 1\/2*d**v + 1 = 0 for d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 47?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/(-2 - -6 - 3). Suppose 2*j + w - 36 = 5*w, -j = -w - 18. What is the greatest common factor of j and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(77))\/sqrt(11).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 + 387*j - 14353. What is s(-105)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 276\/(-276)*12\/26\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20 + (-4)\/(-1 - 3). Let f = 43 - 22. Calculate the greatest common divisor of u and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1 + -8) + 96\/18. Find the second derivative of -6*o**4 + 1 - 255*o**u + 23*o**4 + 258*o**5 + o + 1 wrt o.\nAnswer: 60*o**3 + 204*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, q: 2, i: 8}. What is prob of picking 2 q?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -4 + -8 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b**2 + 36*b + 25. Is d(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.5 - -10. Which is the closest to -1? (a) 1\/3 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.4, -5, -0.16, -3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 35*t**5 - 11*t**3 - 55*t**2. Let l(z) = 18*z**5 - 6*z**3 - 27*z**2. Let n(w) = 6*c(w) - 11*l(w). What is the third derivative of n(p) wrt p?\nAnswer: 720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -22, -0.1633?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d + 422 = 4*p, -d - 3*p - 73 = 0. Let o = d + 80. Let r(x) = -2*x**2 - x - 2. Give r(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9108)\/(-616))\/207)\/((-34)\/(-28)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/63)\/(260\/(-455))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226714 is divided by 94?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -12, -y + 20 + 18 = -4*i. Suppose 0*f + f = y. Let s be 3*(-1 - f\/(-3)). Calculate the highest common factor of 92 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/3*((-1152)\/(-13888))\/(-18).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**2\/7 + 756456*x\/7 - 4537728 = 0.\nAnswer: 42, 189072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*s + 3*z + 7, 5*s = 3*z + 23. Put 2, -5, 0, s in decreasing order.\nAnswer: s, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a)**(-11)\/(a\/((a\/(a*a**(9\/4)*a))\/a))**15 assuming a is positive.\nAnswer: a**(-271\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(459\/34)*5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/63164 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2853 + 3614. Do 764 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - 92. Suppose 0 = -3*o + 5*o. Suppose 4*l + o*y + 2*y - 28 = 0, -3*y + 17 = l. Solve -z*s - 10 = -l*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - 86) + -14 + 73.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2715*y**2 + 18*y - 2716*y**2 - 5*y.\nAnswer: -y**2 + 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 915 + -910. Let x(b) = -b**3 - 1. Let s(h) = 7*h**3 - 2*h**2 + 6. What is v*x(m) + s(m)?\nAnswer: 2*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 7*d**5\/10 + 13*d**3\/6 - 5*d. Find the second derivative of j(q) wrt q.\nAnswer: 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 + 12016362*v**4 + 521278*v**2 wrt v?\nAnswer: 60*v**2 + 288392688*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:55 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/403 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -14*q**2. Suppose -c - m + 3*m + 42 = 0, -2*c = -2*m - 84. Let f be ((-12)\/c)\/(1\/(-14)). Let y(j) = -j - f*j + 4*j - j. Calculate y(o(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -17*f + 1. Let j(z) = -18*z. What is -2*i(v) + 3*j(v)?\nAnswer: -20*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 2*d - 2. Let h(q) = -q**2 + 3*q - 3. Let a(l) = -l**2 - 12*l - 7. Let j be a(-12). What is j*s(b) + 5*h(b)?\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14167*s + 14174*s - 21. Let c(w) be the second derivative of 0 - 1\/40*w**5 + 8*w - 1\/3*w**s + 5\/24*w**4 + 0*w**2. Factor c(i).\nAnswer: -i*(i - 4)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(0\/1 + 0). Suppose 0 = -o*j - 2*j. Suppose j - 1\/3*l - 1\/3*l**2 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-10))\/((-203)\/(-35) + -7). What is the third smallest value in -0.1, 5\/6, t?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.038 + -0.038. Is k <= 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**4\/24 - 5*n**3\/6 - 7*n**2. Calculate r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d**2 - d. Let m(f) = 5*f**3 + 3*f**2 - 5*f - 1. What is 3*j(v) - m(v)?\nAnswer: -2*v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9 + (-13 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 127, 116, 63, -38, -193?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/79 (b) -1\/4 (c) 6\/11 (d) 0.2 (e) -1 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:17 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let o(j) = 2*j - 1. Let n be o(3). Suppose 0*u + n = 5*u. Let z(r) = r. What is u*z(b) - 4*d(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (19 - (-20 - -54))) + -26 + 90.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1647 (base 8) to base 10\nAnswer: -935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 13. Let m = w - 5. Let f be -2 + m + 2 + -4. Is f > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -1 (c) 0.01 (d) -2 (e) 9 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)*x)\/x**1*(x**0*x)\/x*x*x**(1\/5))\/(x\/x**3*x**(-1\/5)*x**(-3)\/x**(-1)) assuming x is positive.\nAnswer: x**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y**2 - y + 4. Let b be x(8). Let k = 457 + b. Suppose -2*f = 5*c - 25, -4*f = 7 - 27. Solve -1 = c*w + k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*c - 56*c + 13*c + 62*c.\nAnswer: 80*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 29?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.544 - 0.184. Which is the second smallest value? (a) -4 (b) -5 (c) 0 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60299\/276 + -873\/4. Find the common denominator of -111\/14 and d.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -22, 5, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -182*50427\nAnswer: -9177714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/11)\/(m\/m**(7\/4))*((m*m**5*m)\/m)\/(m**(-6)\/m))\/((m**(-1\/3)\/(m*m*m**(-8)*m))\/((m\/m**(-5)*m)\/(m\/(m\/(m*m\/m**(-2\/5)))))) assuming m is positive.\nAnswer: m**(9271\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**3*o**4 + 4*k**3*o**3 + 2*k**3 - 63*k wrt o?\nAnswer: 12*k**3*o**3 + 12*k**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*i + 519*i = 24660. Calculate the remainder when 186 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -75 - (146 + 3 + -181)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139445\/11 or -12676?\nAnswer: -12676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 1.9. Let n = 1.95 + k. Let r = n + 6.85. Which is the biggest value? (a) r (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 + 133940*f**3 - 30733260*f**2 + 1755499680*f = 0. What is f?\nAnswer: -27016, 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 32) + 370 + -343 + -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -6\/35*k**5 + 0*k + 0*k**2 + 16 + 3\/28*k**4 + 2\/7*k**3 - 1\/14*k**6. What is j in a(j) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/792 - (-8)\/(-44)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -247 (c) -17\/3 (d) -6\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 101. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5216 and 51182?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 + 449 = 3*y. Suppose -11*d + 16*d = y. Let t(z) = 4*z**2 + z - 2. Calculate the remainder when d is divided by t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3621?\nAnswer: 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -113*y + 1. Let n be l(-1). Let o(w) = 8*w - 66. Suppose 0 = -14*f + 9*f + 45. Let i be o(f). Calculate the greatest common factor of i and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 205 + 23763?\nAnswer: 24170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 393 times -0.4\nAnswer: -157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 24011.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -18.56. Let c = o + 0.06. Let l = -2734.5 - -2735. What is the closest to c in -3, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 198?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1177710 divided by -558\nAnswer: 196285\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t - 28*t - 5*t**2 - 4*t**2.\nAnswer: -9*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k + 3*k + 3 - k**2 + 2*k**2. Let b be p(-14). Suppose -q + 2*q = 2*c - 12, -2*c = 4*q - 12. Solve b*r = r + c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/19)\/x**9)**(1\/5) assuming x is positive.\nAnswer: x**(-169\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -4.7, 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and -5?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347.299 days to minutes.\nAnswer: 500110.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = o - 39 + 14, -r + 125 = 5*o. Suppose 8*u - o = 3*u. Solve 3*t = 3*x + 9, 5*t + u*x = -17 - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let c be -4*(-1 + (-3)\/(-6)). Let s(b) = -3*b**3 + b**2 - 8*b + 10. Suppose 0 = -3*d - 44 - 22. Let f(w) = c*s(w) + d*v(w). Factor f(z).\nAnswer: -2*(z - 1)*(z + 1)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 8, w: 5, h: 5}. Give prob of picking 2 w.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 802 = -b - 4444, 3*m - 3*b - 2178 = 0. Find the common denominator of (-9)\/m*-9*(-2 + 14) and 77\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 731978 + -502731. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95, -104, -113, -122?\n\"Answer: -9*p - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1.93.\nAnswer: -0.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 606721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 64318*h**2. Let u(l) = 12*l - 2. Determine u(c(p)).\nAnswer: 771816*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -24. Put l, 0.3, -3 in ascending order.\nAnswer: l, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5271210 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*a + 852, -5*b + 6*a = 8*a - 1411. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let b = 33 - j. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -619 in 0, 88\/13, 2\/11, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*x + 14. Let v be (10\/(-20))\/(x\/72). Suppose -3*g + 0*g + 36 = 4*l, -3*g + 5*l + 36 = 0. Calculate the greatest common divisor of g and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -81*o + 118. Let m(h) = 103*h - 119. Let j(v) = 4*m(v) + 5*t(v). What is j(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8778 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -840027 + -0.022\nAnswer: -840027.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*-5)\/((sqrt(121)*2)\/sqrt(11)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0, -2393?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1524\/7 greater than -218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35984 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88921485?\nAnswer: 3, 5, 31, 63743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 631 divide 6917653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + -5 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 16*c + 15 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2933 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 338283, 676568, 1014857, 1353150?\n\"Answer: 2*m**2 + 338279*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/33)\/(q\/q**4))**(-48) assuming q is positive.\nAnswer: q**(-1616\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.9, -0.4, -2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(2057) + -3)**2 - 4*(5 + sqrt(2057)))*4.\nAnswer: -32848 + 2112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:41 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*(220\/(-33) + 4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 2063799 + 3*a**2 + 1032039 + 1031760.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 278*k - 567*k + 284*k as n + d*k and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 201257 divided by 2?\nAnswer: 201257\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwdwww. What is prob of sequence dw?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**1*n**(-2))\/(n*n*n**(-2\/7)*n)**(-49))**(1\/58) assuming n is positive.\nAnswer: n**(66\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 2, f: 6, g: 1, a: 2}. Give prob of sequence mmma.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1562 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3 (base 14) to base 15.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 4*z**2 - 4*z**2 + 10*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 10*a + 6. Suppose 5*h = 0, -x + 9 = 2*h + 1. Let m be l(x). Suppose y = 3*y - m. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/330 and -53\/750.\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 586 and -5?\nAnswer: -2930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*c**3*i**2 + 21784*c**3 - 1413282*c**2*i**2 - 4*c*i**2 wrt c?\nAnswer: 402*i**2 + 130704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.379 - -0.279. Which is the closest to -3? (a) -0.051 (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4356 and 181308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-2\/17))*a\/((a*a\/a**(4\/5))\/a*a)*a)\/(a**(-2))**49 assuming a is positive.\nAnswer: a**(8493\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1127 + -570. Let l = i + -365. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2210\/11 + 15492\/77. Sort -862, d, -2, 1\/2.\nAnswer: -862, -2, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4 = -2*t, -3*t + 15 = 3*l - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3264 is divided by 249?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 10\/5)*-67. Let g = 28 - 12. Let s = m - g. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39, -262, -583, -936, -1333?\n\"Answer: -2*x**3 + 2*x**2 - 293*x + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 3*n**3 + 2*n**3 + 4*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17510 and -0.186.\nAnswer: 17509.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 419bbb + -9?\nAnswer: 419bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270*o**2*s**4 + 3*o**2*s + 3*o**2 + 2*o*s wrt s.\nAnswer: -3240*o**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60648, 121312, 181986, 242676, 303388?\nAnswer: 364128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 - 127 = -7*t + 124 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -179.3 and -0.24.\nAnswer: -179.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -1 - (-4 - (-4 + -9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 + -5 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-3) - (-4)\/6. Suppose -2*q - 2*k = -20, -k + g = k. Let i(t) = -t + 6. Let o be i(q). Is o at most 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 2, e: 8}. What is prob of sequence wew?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/2 - 112\/28. Let o be 4\/5 - (756\/20)\/l. Solve 0 = c - 5, -5 = 3*g + o*c - 27 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448270117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 2*l**3\/3 - l**2 + l. Let b be c(3). Suppose 2*i - 85 = -5*o, b = 4*o + 3*i - 58. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 41*a + 85. Calculate k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -88589 and 0.4?\nAnswer: 88589.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -69 + (-1367 - -1363).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 - (-12 + 154 + -69).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172462297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1222, -2228, -3234, -4240, -5246?\nAnswer: -6252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 13.3. Let f be (-39)\/(624\/(-32))*6\/42. What is the closest to f in -3, w, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -853 + 1569. Suppose -u + q = 4*o, -2*o - u - 179 = -3*o. Let c = o - 78. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320646*p**3 + 174982*p**2 wrt p.\nAnswer: 1923876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000921542 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = 0. Suppose -4*l + l + 6 = s. Let k(h) = h - 4*h**2 + h + 0*h. Give k(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(192) + 0 + sqrt(192))**2*4 + sqrt(192) + sqrt(192) + -4 + -4.\nAnswer: 16*sqrt(3) + 3069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 54. Suppose -3*b - 17 + 8 = m. Let r be 1*(1\/(-4))\/(b\/36). Solve 2 = p - r*t + t, -3*p = 3*t + 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1425 + -728. Suppose l - 5*t = 299, -5*t - 499 - m = -4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6474462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.045 - 8.555. Let g = z + 8.599672. Round g to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11157.302 rounded to the nearest 100?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-396)\/(-1848)*(-20)\/5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11851605\/(-65))\/(-9) - (-4)\/(-26).\nAnswer: 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691.603 milligrams to nanograms.\nAnswer: 691603000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*j - 5 = 355*j. Let n be j - -3*8\/(-12). Solve -5*i = -4*o, -i - o = n*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (122 + 67) - -88?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 138 and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r + r)*(0 - 3 + 1)*(-2 + 2 - 2).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (16 - 39 - -15) + 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = 0, 5*o - 6*n + n - 40 = 0. Suppose o*l - 339 = 345. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*o*w**3 - f*o*w**2 + 2*f*o*w - 149*f*w**3 + o*w**3 + 35*w**2 wrt w.\nAnswer: 6*f*o - 894*f + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 + 2*y - 4. Let t be m(-7). Find the common denominator of (8\/t)\/(3\/(-9)) and 57\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (415*u + 3 + 2 - 5)*(-2*u**2 + 2*u**2 - u**3) to the form f*u**2 + s + l*u**3 + a*u + o*u**4 and give o.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 96. Solve 5*d + l = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -674.57 rounded to the nearest integer?\nAnswer: -675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/31704734 and 47\/221933138.\nAnswer: 221933138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -21*s**5\/8 + 393567*s**4\/8 - 18171795*s**3\/8 + 4766253*s**2\/8 + 2271477*s - 1289955\/2 = 0.\nAnswer: -1, 2\/7, 1, 46, 18695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 8\/9, 922 in descending order.\nAnswer: 922, 8\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = d + j + 223, d + 2*j + 4 = 0. Solve d = 44*q - 60*q + 64 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*v + 125346 - 7678 = 0. Calculate the remainder when v is divided by 184.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -18*j + 622. Calculate l(35).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 1. Let g be s(-1). Suppose -b - 4*w = 12, -g*b = 2*b - w + 60. Does 6 divide 3\/(6\/2) - b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (-1*sqrt(175)*-1 + sqrt(175)))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2 - 25114*p - 157678249 = 0 for p.\nAnswer: -12557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 788940 and 275076.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55 and -2?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 7*z + 5. Let w = -3089 - -3113. Calculate the remainder when f(-5) is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllvvvvddd. What is prob of picking 2 v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 5*l - 707, -l - 3439 = -5*c. List the prime factors of c.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4347*v - 80. Is w(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-11) - (-16)\/(-88). Suppose h = 2*c + 146 + 26. Is 0 + (-2)\/4*c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 9.46?\nAnswer: 3.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*m + 18 = 3*n + 256*m, -2*n + 6 = -4*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(5 + 2*z - 5) - 3842 + 3842 + 153*z - 6*z + 3*z + z + (-1 + 0 - 1)*(4*z - 2*z - 4*z).\nAnswer: 159*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 4:34 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 51 - 44. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74246665 is divided by 24748884?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1357 and 180711?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/5 + 12228*g**3\/5 + 19291898*g**2\/5 + 367695960*g + 9042049000 = 0 for g.\nAnswer: -3007, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**3 + 8*h**2 + 4*h + 15. Let y(q) = -2*q**3 - 4*q**2 - 2*q - 7. Let l(u) = 3*w(u) + 7*y(u). Let a = 0 + 1. Let z = 6 - a. What is l(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31003 is divided by 30278.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -16, 4, -8, -45 in decreasing order.\nAnswer: 85, 4, -8, -16, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n - 2. Let r be l(-2). Let i(q) = -6*q + 6*q + r*q**2. Let c(b) = 18*b - 4*b - 8*b - 3*b - 2*b. Calculate i(c(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15361.0025242 - 15361. Round q to 5 dps.\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**4*x + 88*c**3*x - 3*c*x + 62*c + x - 3 wrt c?\nAnswer: 108*c**2*x + 528*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89410 is divided by 2078?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-16\/3)*x*x*x**(-4\/17)\/x*(x*x*x**(-13\/2)*x)\/(x\/x**(-3)*x) assuming x is positive.\nAnswer: x**(-1333\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(2*x**2 + x**2 - 2*x**2) - 15*x**2 + 25*x**2 + 16*x**2 as k*x + m*x**2 + p and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 486, 1328, 2890, 5412, 9134, 14296, 21138?\nAnswer: 29900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 5) to base 9.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26534561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-22)*30\/975*13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*h - 17 + 4*h - 18 - 28.\nAnswer: 118*h - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -11)\/((-20)\/240). Calculate the greatest common divisor of 72 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/(t\/t**(4\/11)))\/(t**(1\/4)*t**(-2\/27)) assuming t is positive.\nAnswer: t**(8539\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:16 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*z + 16, -5 + 8 = m + z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -733\/5 + 146. Let o = 3.5 + -3.2. What is the closest to 2 in 0.1, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1944*f + 218\/3*f**3 - 2016*f**2 - 2\/3*f**4.\nAnswer: -2*f*(f - 54)**2*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 57. Let w = y + 18. Let j = 0 - 0.3. What is the closest to j in w, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = v + 53, -20 = -y + 5*v + 17. Suppose 7*f = 2*f. Suppose f = 5*s - 2*s. Solve -y = 4*h - s*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 0.95. Let p = g - 0.2. Let n = 2.2 + p. Which is the third smallest value? (a) 0.4 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Let u = 27.6 - 28. Which is the third smallest value? (a) u (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/110*1)\/(142\/(-355))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -53 - (5 + -11 - 34) - -96\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -25*v - 11*v - 27*v. Which is the fourth biggest value? (a) 4 (b) -7\/3 (c) -1 (d) v (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(99)\/(sqrt(45)\/sqrt(5)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2913635964842\nAnswer: -2913635964839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 999677 divided by -142811\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -330 + 27*b**5 + 330 + (0*b**2 + b**2 + 0*b**2)*(3*b**3 - 9*b**3 - 5*b**3).\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 3*y - 4. Let i be r(3). Suppose 21 - 1 = i*p. Solve -p*l = 5*t - 7, 4*t + l - 4 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1346883519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/7 + 102*l\/7 + 28 = 0. What is l?\nAnswer: -49, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 22*a**2 + 129*a + 507. Calculate m(-16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (120\/(-18))\/((-14)\/21). Solve 14*o + 20 = j*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 10:09 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 758 and 146673?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**6*l)\/l)*l*l**2)\/((l\/l**(-7)*l*l)\/l**(-6\/7)))\/(((l\/(l**(-2)*l*l))\/l*l**(2\/7))\/(l**2)**17) assuming l is positive.\nAnswer: l**(146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 22. Let f be (-3 - 0)*576\/54. Let x be (1\/(-6))\/((-16)\/f). What is the nearest to x in -0.5, v, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5346 is divided by 105.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 + 14228*u + 186.\nAnswer: 14228*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 481039913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 115633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**4\/22 - 4*v**3\/11 + 12*v**2\/11 - 16*v\/11 - 15. Solve r(t) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -251 - -254. Suppose 5*a - 95 = 50. Suppose 73 + a = k*n. What is the highest common factor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by 176515\nAnswer: 246\/176515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 993177.45 microseconds?\nAnswer: 0.000011495109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6210)\/126684)\/(10\/(-34))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 3\/((-9)\/(-15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 + -3.3. Suppose 9 = 3*q - 0. Suppose -5 = -k - q. What is the third smallest value in k, b, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 49*b**2 + 53*b + 47. Is v(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 620*-1*6*8\/(-120)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t + 28. Let o = -125 + 127. Let b be a(o). Put 5, b, 11 in increasing order.\nAnswer: b, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2108560?\nAnswer: 2108560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 + 280\/3. Let 1\/3*r**2 - g*r**3 + 0 + 0*r = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 6. Let o be ((-4)\/(-20))\/(t\/5). Let z be (1 + -1)\/(1 + 0). Which is the nearest to -3? (a) z (b) 2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 7048*b = 7052*b - 4, 3 = 2*p + 3*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h + 23*h - 18*h. Let r(g) = 7*g - 14. Let u(b) = r(b) + 6*w(b). Differentiate u(k) wrt k.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3154131047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -101 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 12:52 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716840.5 kilometers to millimeters.\nAnswer: 716840500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**3*w**2 - 70*b**3*z + 147*b**2*w**2 + 4*b*w**2 + z wrt b?\nAnswer: -48*w**2 - 420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176*o + 3 - 210*o**2 - 96*o - 71*o wrt o.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/21 and -149\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -15*b**2. Let z(x) = -21*x - 1. Calculate t(z(l)).\nAnswer: -6615*l**2 - 630*l - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = m + 3*o - 25, 0 = -5*o - 25. What is the greatest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**5\/20 - p**4\/6 + p**3\/2 + p**2\/2 - 15*p. What is r(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 2*g + 11. Let j(b) = b**2 + b + 10. Let d(l) = -7*j(l) + 6*y(l). Let t be d(4). Let u = -2 - -4. Solve t*n = u*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -6 + 1*(-459)\/(-85). What is o in -6\/5*o**4 + 4\/5*o**2 + t - 6\/5*o + 2\/5*o**5 + 4\/5*o**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*l + a, l + 6 = 5*l + 2*a. Suppose 0 = -b - l + 6. Suppose 4*i - 62 = 5*y, -3*y + 20 = b*i - 3*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(95) + (sqrt(95)*1*5 - sqrt(95)) + sqrt(95))\/((sqrt(40) - sqrt(640)*-3)\/(sqrt(288)*-1 - sqrt(288))).\nAnswer: -168*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.61496 decades to millennia.\nAnswer: 0.5361496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51960.1 hours?\nAnswer: 187056360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+570\nAnswer: 569.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + 257561*g**4 - 515126*g**4 + 257560*g**4 + 2*g**3 + 183 as q*g**4 + n*g**3 + t*g**2 + a + k*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29524, -29523, -29522?\nAnswer: -29521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 3*n**4\/4 - 3*n**3\/2 + 25*n**2\/2 - 3575*n. Let o(k) = 5*k**2 - 5*k + 13. Calculate -4*i(a) + 7*o(a).\nAnswer: -a**2 + a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.24 + -2.14. Let g = -540 - -543. Let a = -3 - -3.4. What is the nearest to c in a, 1\/5, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6243605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-10))\/(8\/(-10)). Is w <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-3)*(-143955)\/(-420) is divided by 110.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by 75?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822460.1t to grams.\nAnswer: 822460100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1180040 = -3*u - 82040. What is u rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y. Let s(f) = 1 - 1 + 2*f. Suppose -26*i = -13*i - 182. Suppose -2*g + 8 + i = 3*p, -4*g + 24 = p. Give g*s(z) - 2*n(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56 - 640?\nAnswer: -5d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*n - 2 - 8, -2*q = -10. Let z be 1\/(5\/(-4)*-2*((-1218)\/105)\/(-58)). Put n, z, -2, 10 in descending order.\nAnswer: 10, z, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.9. What is the second smallest value in a, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c + 0*c)*(-35*c**2 - 49*c**3 + 4*c**2 + 52*c**3).\nAnswer: 3*c**4 - 31*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 4 - 7)*(-15)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 500773053 to the nearest integer?\nAnswer: 22378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Suppose -90 = 3*q + 2*q. Let t = q - -20. Let n(f) = -2*f - 3*f + 2*f + t*f. Determine n(w(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/12)\/(12503\/675162)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100244005 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 10. Let d be j(4). Let u(b) = -1 - d + 7*b - 2 + 2. Let q(r) be the second derivative of 11*r**3\/6 - 11*r**2\/2 - 2*r. Calculate 5*q(c) - 8*u(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.12473.\nAnswer: -0.62365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33.13531t?\nAnswer: 33135310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 1. Let f(q) = 8*q**2 - 3*q + 4. Let o = -3 - -9. Let n(x) = -7*x**2 + 2*x - 4. Let k(w) = o*f(w) + 7*n(w). Give k(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**3\/6 - 6*u**2 - 16*u. Let d be c(-4). Let j = d + 29. What is the highest common divisor of j and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-10))\/(4 - 483\/120). Let o = h - -29. Suppose -3*p - o = -36. Put -1, -5, p in descending order.\nAnswer: -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - 19*n**3 + 86*n**3 - 24*n**3 - 6*n - 23*n**3 + 8*n**2 - 22*n**3.\nAnswer: n**3 + 8*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 + 6*x**2 - 5*x**2 + (-2*x + x - 5*x)*(3*x + 5 - 5))*(0 + 4 - 2) + (-7 - 2 + 0)*(x**2 + 0*x**2 - 4*x**2) to u*x + b*x**2 + m and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + ((-1590)\/(-56))\/53. What is the closest to 0 in 2\/9, 61, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-163*i**2 - i**3 - 33001 + 33001 + 2*i)*(5 - 3 - 1) in the form j*i + v*i**3 + o*i**2 + l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 17d7e4b?\nAnswer: 17d7e47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/81*(-8)\/(-70))\/(2\/(-10))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4241, -4248, -4257, -4268, -4281, -4296?\nAnswer: -4313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5 - 8*m - 5*m + 1. Let z = 50 - 23. Suppose -3*p - 5*t + 38 = 0, -8 = -3*p - 2*t + z. Let d(i) = -7*i - 2. What is p*d(k) - 6*c(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -28. Let b(a) = 69*a**2 - 30*a**z - 29*a**2. Let p(w) = -2*w. Give p(b(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -68, -71?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 20*n**2 + 14*n - 14. Let a(i) = 7*i**2 + 5*i - 5. Suppose 0 = f + 3 - 17. Give f*a(v) - 5*b(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/363 - -83\/847. Let a = 276 + -276.1. Sort 4, a, h.\nAnswer: a, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvqn when four letters picked without replacement from nnvmjqvqp?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*w = -20, -j - 4*w = -9*w - 17. Suppose -4 - 6 = -2*g, 5*g = j*i + 23. List the prime factors of 139 - (0\/2 - i - -1).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and -0.162.\nAnswer: -0.2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18933776207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -49.4 and 3?\nAnswer: 52.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029386747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 9*h - 4. Let q be s(8). Suppose q*z = -0*z - f + 68, 70 = 5*z + 5*f. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87719370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127583 minus -2439.1196?\nAnswer: 130022.1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-28)\/(-4 + 6). Suppose 3*p - 2*p = -r - 8, -4*r = 5*p + 30. Is r less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6197 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4341a6 (base 12) to base 6.\nAnswer: -34453130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(-a - 4*a + 3*a) - 4 + a + 4)*(2 + 0 - 1) + 10*a + 21*a + 8*a.\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(12) + sqrt(108)\/((sqrt(18)\/sqrt(2) - sqrt(9)) + sqrt(9)) - sqrt(12)))**2 + -2)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2, -0.01, 0.012 in descending order.\nAnswer: 1\/4, 0.012, -0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (6 - 4) + 3 + 1 - 16\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + 3 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -2*a - 0, 0 = 4*q. Find the third derivative of -19*o + 3*o**a + o**4 + 19*o wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4 + 3*w**3 - 105*w**2 - 387*w - 378 = 0?\nAnswer: -3, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5108 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361046212 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/13, -4, -0.11, 34072?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 30, 33?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 685, 1028, 1371?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 3*m. Let j be u(-10). Let q = 424 - j. Round q to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/108 and -97\/132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.68 take away 203.206?\nAnswer: -169.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klv when three letters picked without replacement from rkjvlrrlvjpkkj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.940992 days to weeks.\nAnswer: 1.705856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -5, 1\/2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30910?\nAnswer: 2, 5, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 0*t + t)*(-2*t - t + 4*t) + (0 + 0 + t**2)*(-5 + 2 + 2) - t**2 + t - t + 2 - 2 - t**2 + (4 - 4 - t)*(2*t - 1 + 1) - 5*t - t**2 + 5*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3*q + 12*g**3 + 162*g**2*q - 11 wrt q.\nAnswer: 2*g**3 + 162*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36.3569088 + 683.6417352. Let o = k + -720. What is o rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 706369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002585578 to 6 dps.\nAnswer: -0.000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t - 28*t = -21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 5*c - 10*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65030\/19 >= 3423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 45. Which is the third smallest value? (a) 3 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2\/11 + 1708768*b\/11 = 0?\nAnswer: -854384, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-20)\/(-32)) + (-41)\/5. Let o = -33.3 + 33. Which is the third biggest value? (a) 5 (b) -5 (c) s (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 21. Suppose 0 = -u*g + 3*d + d + 365, 3*g + d - 202 = 0. Let q = g - 40. Calculate the remainder when q is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.97 + -4. Let k = 1.97 - p. Let z = -2.00001 + k. What is z rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1038 + -296. Let v = c - 742.000000629. Round v to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101100001011011010 + -10?\nAnswer: 101101100001011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430405?\nAnswer: 5, 59, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12832)\/(-40) - 4\/5. Suppose -5*k + v = -188 - 117, -5*k + t = -4*v. Calculate the least common multiple of k and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-three fifths of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 - -4.4. Let w = 3 + 1. Is w greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133734477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-3) + (-374)\/(-153)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 148\/51 in 2\/15, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/125*90\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.4 (b) -10.9 (c) 1\/3 (d) 0.2843\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/7 - 416742*x\/7 + 14472824547\/7.\nAnswer: 3*(x - 69457)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -160504\/5 smaller than -32102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98853 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/((-4)\/(-5)*-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*18\/12*(-2)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2033000?\nAnswer: -2032333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tijliiljjjtji. Give prob of sequence jij.\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 590959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 3*h, -h - 4 = 3*i + 30. Let r be i*(2 + 84\/(-15)). Suppose 4*b - b - r = 0. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83 - -47) + 20 + (-58 - (3 - -5))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffgfgff. Give prob of picking 1 g and 1 f.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 + -6 + (5 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 + 27*f - 186. Let a be n(7). Let l = 26 + -8. What is the first derivative of -l*b**a - 12 - 2*b + 2*b - 1 wrt b?\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 5*z**2 - 6*z - 2. Give a(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u - 2. Let s be x(3). Suppose 0 = h - 3*r + r + 4, s*r = -5*h + 8. List the prime factors of 2 + 33\/1 + h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s + 1. Let k(n) be the second derivative of n**5\/20 - n**4\/6 + n**2\/2 + 2*n - 65. Determine -c(v) + k(v).\nAnswer: v**3 - 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(175)*-2*-1*2 + (-3 + -2*sqrt(175) - (sqrt(175) - (-1 + sqrt(175) + -1 - sqrt(175))))*-4)**2.\nAnswer: 800*sqrt(7) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58504 and 60152?\nAnswer: 4270792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 1, -1, -2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/y)**(1\/51)*y*(y*y*y**(1\/2))\/y*y**(-5\/3)\/y)\/((y**7\/y**4)\/(((y\/(y*y*y**(2\/9)))\/y)\/y*y\/(y**3*y)*y)) assuming y is positive.\nAnswer: y**(-5149\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 + 32*o**3 + 0*o**3 - 54*o**3.\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105842 times -18?\nAnswer: -1905156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -26*w + 3. Let m be l(-6). Suppose -10*x + m = -7*x. Calculate the remainder when x is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g**1)\/((g*((g\/g**(-2\/3))\/g)\/g*g*g)\/g**(2\/9))*((g**(-1)\/g)**(15\/7))**(-1\/61) assuming g is positive.\nAnswer: g**(-12967\/3843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = -l. Let f be 0\/((4\/2)\/l). Suppose -2*h + 5*h = -2*w + 16, 2*w - 3*h - 4 = f. Solve -w*a - 10 = 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 100. Calculate the remainder when r(11) is divided by 61.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -10. Let q = o - 2. List the prime factors of (-78)\/(-9) - q\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -61, 121, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007567511 to 6 decimal places.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 21*r + 14. Let k be o(-23). Let t = k + 32. Sort 2, t, -3, -2\/13 in decreasing order.\nAnswer: 2, t, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/310 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -704.0184 - -0.0184. Let k = -704.000283 - t. Round k to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*d + 37, -i - 439 = -408*d - 23 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3117807 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000341237 to 6 decimal places.\nAnswer: 0.000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-126)*(-7)\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 589311958237 - 589311905131.4089061. Let n = q + -52984.5911. Let t = n - 121. What is t rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212585 bigger than 212586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 2026 = 4022. What is the highest common factor of b and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 137369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, 0.5, -20, -2\/5 in descending order.\nAnswer: 2.3, 0.5, -2\/5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 - 20340\/1638 - (-1 + 6\/14). Put l, -3, -1, -83, 0.3 in decreasing order.\nAnswer: 0.3, l, -1, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 0.347.\nAnswer: -5, 0.3, 0.347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -44*g + 42*g. Let b = 22 - 17. Put g, -1, b in decreasing order.\nAnswer: b, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 40330397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49864 - 49863.999968079. What is o rounded to six dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5480 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-3) - (-308)\/(-44).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.423045 meters?\nAnswer: 2423.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39847 + 0?\nAnswer: 39847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 15*f**2 - 39*f + 65. Is k(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -18*z**2 + 20*z**2 + 0 + 8*z - 444*z + 0 = 0.\nAnswer: 0, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:40 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 17. Let o = -1 + m. Let k(n) = n**2 + 5*n. Calculate k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51*2\/((-312)\/(-26))\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-12) - (-95 - -84 - (-122)\/12). Let w(g) = g**2 + 7*g + 6. Let n be w(-6). Factor n*y**2 - i*y**3 + 2*y + 4\/3.\nAnswer: -2*(y - 2)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - -46. What is the greatest common divisor of 70 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**6\/10 + 39*k**5\/25 - 36*k**4\/5 + 36*k**3\/5 + 63. Solve r(s) = 0 for s.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 18513*l**3 - 16916*l**3 - 3*l as w*l**2 + a*l**3 + z + v*l and give a.\nAnswer: 1597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -70*(-1 - 1 - -3). Let f(p) = -p**3 + 2*p**2 - 2*p + 2. Let y be f(2). Let j be -5 - y - l\/22. What is the third biggest value in -5, j, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 2*s - 2*s)*(-2*s**2 + 4*s**2 + 0*s**2)*(1 + 0 - 2).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 7, -0.6, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.51262ms to nanoseconds.\nAnswer: 29512620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154707 and 87.\nAnswer: 4486503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*y + 943 + 377. Calculate the remainder when 483 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 302, 85, -48, -55, 106?\n\"Answer: 7*d**3 - 266*d + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23445 = 28*r + 245 - 4128. Does 122 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6475 and 14?\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6780467.\nAnswer: 17, 67, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 232114 times 16\nAnswer: 3713824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 j when four letters picked without replacement from knjjkjk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 - -132. Let u = 79 - y. Calculate the greatest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78661 - 142129. Round x to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by -21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 10. Let i be y(15). What is the biggest value in -0.1, 1, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 614 = -3*o - 611, o - 5*r = -17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -27 and -41.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 484 + -486. Let d be (-680)\/(-342) - p\/(-1). Which is the second biggest value? (a) -3 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z = 3516 - 212. Suppose 260 = 9*p - z. Calculate the least common multiple of p and 81.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 9:28 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/32*-4*1*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 10 = -5*t, 4663 = 5*u - 4*t. Suppose -3*w = 5*g - 4225, -3*g = -w - 7*g + 1406. Let z = w - u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 18*y**2 + 42*y + 19. Let u be r(-15). Suppose 18*i - u = 2*i. Solve -5*p = 2*z - 19, 4*z = i*p - 2 - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 34 + 74 + -108 - (-2 + -15 + -1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -2816.\nAnswer: 1126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iihhcqlhh. What is prob of picking 1 c, 1 l, and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 - (1 + -2))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 (base 11) in base 5?\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 + 2*q**2 + 6. Let m(s) be the third derivative of 4*s + 0*s**4 - 23*s**2 - 1\/120*s**6 + 0 - 1\/60*s**5 - 1\/3*s**3. Give -4*b(n) - 11*m(n).\nAnswer: -n**3 + 3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -18.1. Let l = k + -0.7. Let h = 0.1 + 0.4. Which is the nearest to -2\/3? (a) l (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*y = -41, 5*y = 74735*o - 74730*o + 55 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a - 20 = 0. Suppose -a*l = -20, 2*l + 2 = 4*h + 12. Suppose o - 42 - 3 = h. What is the highest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153085*b*f**3*s**3 + 2*b*f**3*s - 5*b*f + b*s**3 + 71*b*s**2 - f**2*s**3 + 9*s**3 + 10 wrt f?\nAnswer: -918510*b*s**3 + 12*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 671688*c + 6716580.\nAnswer: 3*(c + 10)*(c + 223886)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/20)\/(18\/24)*2\/24.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -3*m. Let p be (-26)\/(-4)*(m - 3). Is 11 a factor of (p + -3)\/(1\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7346477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -10) + -161 + 140.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 - 326*u + 26569 = 0. What is u?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*l - l + 268205, 0*l = l. List the prime factors of o.\nAnswer: 7, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o + 12. Suppose -4*n = u + 8, -u + 7 + o = -4*n. Solve -w - u = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-114)\/(-2)*(292 - -5) - -3. Calculate the common denominator of ((-2)\/9)\/(272\/w) and (166\/24)\/((-2)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 0.6. What is the closest to y in 2, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 + -136. Let l be (-6 + g - 10)*(51874 + 1). Round l to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/24)\/(7\/(-4)). Which is the closest to -1\/9? (a) 1\/3 (b) t (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -254 (c) 4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 43*y**3 - 28*y**3 - 5.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -59103656 divided by 4\nAnswer: -14775914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859708 is divided by 1859699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 12\/(-2) + (1 - -26). Suppose -w*p = -24789 + 5499. List the prime factors of p.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1380433?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 4*b - 1. Let x be 1\/(3\/15 + 0). Let f be s(x). Let u = -4 - f. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (48\/56)\/(-3*4\/(-56))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k - 1. Let o = 26160 + -26161. Let l(c) = -39*c**2 + 4*c - 3. What is o*l(s) + 4*b(s)?\nAnswer: 43*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2424 + -1600. Let k = 192 - x. Is k\/(-12) + 2\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -405, -764, -1123, -1482, -1841?\n\"Answer: -359*a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tltt when four letters picked without replacement from {t: 10, o: 1, m: 2, l: 3, j: 1}.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 87266*a**2 - 1. Let q be u(1). Suppose -6*f = -f - q. Suppose -23857 = -9*v + f. What is v rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*k - 88, -2*k + 2*z + 74 = -3*z. Let p be ((-12)\/30)\/(-1)*195\/3. Which is greater: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (3 + -6) - -130. Let l = 122 - k. Let i(r) = r**3 + 4*r**2 - 6*r + 1. Give i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*p + 765 - 1472 - 562 = 4571 for p.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence komo when four letters picked without replacement from ookkkokkmokkkkokkkkk.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -584*p - 3518. Give a(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4754819.\nAnswer: 1217, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 765845 divided by -33?\nAnswer: -765845\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggq when four letters picked without replacement from gggggqgg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n*n**(-4))\/n))*n\/(n*n\/n**(1\/3)))**(2\/81)\/(((n*n**4\/n*n*n)\/n)\/(n*(n**(-1\/8)\/n)\/n*n))**(-16\/7) assuming n is positive.\nAnswer: n**(19730\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 372*h + 1 = -371*h, -22 = 2*j + 2*h - 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 170*c = -172*c - 11, 0 = 8*s - 2*c - 38 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 48*p + 100. Let w be f(50). Suppose 10*z + z - 56837 = w. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 7*b + 102. What is the units digit of v(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -2*u**7\/63 - 5*u**6\/27 + 11*u**5\/9 + 295*u**4\/54 + 190*u**3\/27 + 8*u**2\/3 - 8*u + 123. Find p, given that l(p) = 0.\nAnswer: -6, -1, -1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*n*z**2 + 5189*n*z + 6430*z**2 - 5*z wrt n.\nAnswer: -7*z**2 + 5189*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 21022*j + 3517208. Calculate b(-166).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9620 + 9618. Suppose 0 = -c - 4*n + 1, 5*c - 5 = -n + 4*n. Let a = c + -2. Put f, a, 3 in decreasing order.\nAnswer: 3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17392617*l + 4348767.\nAnswer: 17392617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(2\/9))\/t)\/t*(t*t\/(t\/(t*t*t**(-1\/4))*t)*t)\/t*t)**(2\/35)*t**(-5)*t**(-4)*t**1*t*t**(1\/12) assuming t is positive.\nAnswer: t**(-8501\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35078 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5485\/642 - 14\/321. Let b be 3\/((4\/12)\/1). Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 15*c - 12. Let n be p(9). Suppose 0 = 5*r - 3*b - n, -r - 2*b + 14 = 3. Solve 0 = -0*o + o - 2*k + r, 4*o + 15 = k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*q**2 + 1\/8*q - 3\/4.\nAnswer: (q - 2)*(q + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i + 3*j - 9 = 0, 3*i = 3*j - 9. Let m be (-30)\/4 - 2\/(-4). Let z = m + 8. Which is greater: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334211.\nAnswer: 31, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2580 = -11*i - 963. Let a = i + -121. What is the remainder when a is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let y(l) = 2*l**2 - 5*l + 37. What is -5*q(h) + y(h)?\nAnswer: 2*h**2 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190 and 247.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1107)\/(-72))\/3 - (-1)\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74672075.\nAnswer: 5, 17, 175699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39590 is divided by 4337?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -p - 5*j, 4*p - 61*j + 30 = -63*j for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-12))\/((-2)\/(-4)). Let o be ((-3)\/6)\/l*-8. What is the units digit of (-132)\/30*(-10)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 5:59 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1)*(-3 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -36. Let a be (9\/(-1) - i) + 1*8. Solve -10 = -a*c + 15, -u + 2*c = 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425534551 (base 6) in base 9?\nAnswer: 15185124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v. Let b(m) = m**2 + 7*m + 2. Let z be b(-8). What are the prime factors of j(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2080, 2079, 2078?\n\"Answer: -b + 2081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2115*r**5 - 9*r**3 - r**2 - 60*r + 112 wrt r?\nAnswer: -42300*r**3 - 54*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2172 + 10*c + 4397 - 2227.\nAnswer: 10*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4008 + -1318. Round q to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - y)*(37*y - 2 + 75*y - 15*y).\nAnswer: -97*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -254734\nAnswer: 34\/127367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 6 + -12 + (-1 - (-4 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -7*x + 9*x + 64, 5*x + 160 = -s. Suppose 4*w + 124224 = -0*w. Is 2\/3*w\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from fvftyyftv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 12. Let h be -2 - 7\/((-7)\/10). Let v be z(h). Which is greater: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o**2 + 7*o - 8. Let l be b(3). Suppose k + 16 = -3*q, -l*k + 9 = 3*q + 37. Which is bigger: -42\/13 or k?\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -12487561498609.\nAnswer: -12487561498609.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 58 - (491 - 460)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {b: 2, a: 3, v: 5, g: 7, e: 3}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 33. Find the second derivative of -q*m**3 - 13*m + 2*m**3 + 2*m**3 wrt m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-280))\/((153\/1590)\/(-17)*25\/30)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 3:16 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2904 divided by -121.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 6) in base 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7177515 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 17*f**2. Let n(t) be the third derivative of 6*t + 0*t**3 + 3*t**2 + 0 - 1\/24*t**4. Calculate n(p(y)).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/60 + c**5\/20 - 2*c**3\/3 - 70*c**2. Let g(f) = -f**3 - 3*f**2 + 4. Let y(q) = -6*g(q) - 4*t(q). Factor y(p).\nAnswer: -2*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -37. Suppose 25 = -v*d + 9*d. Suppose d*b - 764 = 346. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1 + 205\/(-65). Which is the third smallest value? (a) -7 (b) d (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 4:48 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4451\/4 - 1112. Let i = 1 + -2. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (6\/10)\/((-14 - 9)\/(-115)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 322 + -317. Let d = -5.4 - -6. Let k = -2.4 - d. What is the biggest value in x, 1\/3, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlzhfqlih. Give prob of sequence lf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-5) - (-2)\/(-5). Suppose y = -0*b - b + 5, -4*y + b = -h. Let u(n) = -4*n**y - 2*n + n + 3*n**3 + 7. Calculate u(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z**5 - 76*z**4 + 6749*z**3 - 4966*z**2 - 146584*z + 260480 = 0. What is z?\nAnswer: -37, -5, 2, 4, 176\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97125 and 367780?\nAnswer: 27583500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 20 = -6*t + 4*t, 5*t - 35 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 - 58. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 3)*(3 + 0 + 2)*(3 + 2*i - 3).\nAnswer: 90*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6383.9593722 - -6328.95938. Let y = i + 55. Round y to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:01 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -583 + 11 + -27 + -1*3. Let s = u - -601. Which is the third biggest value? (a) s (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/5)\/((-48)\/160).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875*t + 872*t = 5*p - 14, -86*p - t = -89 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + 2*p**2 - 3*p**2)*(120*p + 684 - 113 + 5*p**2 - 119*p) to the form a*p**2 + u*p**4 + z*p**3 + d + o*p and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86120 divided by 2.\nAnswer: -43060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 542151 and 14337.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 11. Let k be w(12). Suppose 7*i + k = 2*i + 4*f, 2*f + 26 = -4*i. Let q(m) = -m - 3. Calculate q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83648 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 + 5*g**2 + 5*g. Let t(u) = -7*u**3 - 6*u**2 - 4*u. Give -5*t(p) - 6*w(p).\nAnswer: -p**3 - 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.57511mg in nanograms?\nAnswer: 98575110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 35, -11, 1 in decreasing order.\nAnswer: 35, 1, -2\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 9138747*k**2 - 9138744*k - 18277492.\nAnswer: -(k - 9138746)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 8*h**2 + 9*h + 17. Calculate the remainder when x(-4) is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -3)*(1 - 0). Solve 0*f - 5*f - 2*z - 24 = n, 3*z = -6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 2*o + 217, 3*o = -3*u + 207. Suppose 0 = 3*a - 5*b - 105, -5*b + 34 = 4*a - u. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 917530604?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10631\/4 - -2639. Find the common denominator of d and 11\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.2, 57 in ascending order.\nAnswer: -1\/2, 0.2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 + 171.87. Let s = 2.63 + z. Put -10\/11, 2, s in decreasing order.\nAnswer: 2, s, -10\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*l + 119*l - 23*l = 8712 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 - 218*u**4 + 14476*u**3 - 265080*u**2.\nAnswer: u**2*(u - 94)**2*(u - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 7*d**3 - 6*d**2 - 28*d + 40.\nAnswer: -(d - 5)*(d - 2)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 101 + 100 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13431.251 to the nearest integer.\nAnswer: -13431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, l: 4, w: 2}. What is prob of sequence jwl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -23*g**5\/5 + 9*g**4\/4 - 829*g - 576. Differentiate q(i) with respect to i.\nAnswer: -92*i**3 + 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 87*h**2 - 21*h - 30. What are the prime factors of g(-4)?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4288 to 2 decimal places.\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*n - 21*n - 114. Calculate the highest common divisor of n and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31340430.\nAnswer: 2, 3, 5, 11, 31657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.58 and -14709.\nAnswer: -14709.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -301637, -301119, -300601?\n\"Answer: 518*l - 302155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 630075, 1260148, 1890221, 2520294?\n\"Answer: 630073*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2770917 and 91063.\nAnswer: 19396419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -24 (b) 6 (c) 6\/65 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2798109cm to millimeters.\nAnswer: 2.798109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5711.7kg to nanograms.\nAnswer: 5711700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*h - 1. Solve -k + h*k - 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -690.\nAnswer: 1\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 i when three letters picked without replacement from {i: 2, l: 2, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*r = -20, 3*r + 17 = 4*v - 5. Which is the third biggest value? (a) 31 (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 15888?\nAnswer: 174768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most as big as 4\/76409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(180)\/sqrt(24))\/(-4*(sqrt(96) - sqrt(6))) + 3).\nAnswer: -25*sqrt(5)\/24 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -1. List the prime factors of ((-5)\/(n\/(-42)))\/(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -202261, -202263, -202265, -202267, -202269?\n\"Answer: -2*b - 202259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + l)*(2*l**2 - 2*l**2 + 2*l**4 - 23*l**4 + 56 - 58 + 27*l**4 + (-3 + 0 + 4)*(0*l**2 + 2*l**2 - l**2)*(-16 - 11*l**2 + 16)).\nAnswer: 5*l**5 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58428034 and 23016?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b - 325940 = -312661 + 1364012. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 12:36 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -13*f - 13. Let t(o) = 3*o + 3. Let n(k) = -k**2 - 5*k + 10. Let i be n(-6). Determine i*v(z) + 18*t(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 4*t - 18*a, 162*a + 17 = 9*t + 161*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4230 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15390.30208638 minus -0.3?\nAnswer: 15390.60208638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*z - 2901 = -2874, -4*z = 4*j + 36 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15465192?\nAnswer: 2, 3, 644383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 - -110?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(684) - (sqrt(684) + 2 - sqrt(684))))**2 + sqrt(684) - 3*(-4*sqrt(684) + sqrt(684))) + -6*(1 + sqrt(684)) + (sqrt(684) + 4)**2*5.\nAnswer: -600*sqrt(19) + 28262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(300) + (-3*sqrt(300)*1 - sqrt(300)) + sqrt(300) - (sqrt(300) + 0)*-3)**2.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a millimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89278, 88583, 87888?\nAnswer: 87193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {q: 5, u: 3, p: 9, h: 1}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 8) + 2 + 0 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 11*h**2 - 12*h**2)*(28*h - 194 + 194) in the form z*h + i*h**2 + p*h**3 + l and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 7 + 5)*(-z - 3*z + 2*z)*(-2*z**3 - 5*z**3 + 2*z**3) in the form i*z**3 + j + f*z**2 + u*z**4 + m*z and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9052, -8986, -8920, -8854, -8788?\n\"Answer: 66*b - 9118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023b (base 14) in base 4?\nAnswer: -21133031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1254 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 4*d**2 - 118*d + 615. Let g be m(5). Put -1303, -5, -1, g, 5 in decreasing order.\nAnswer: 5, g, -1, -5, -1303","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77804 and 6148.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174933\/44 - 4*5\/(-80)?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/4, -3, -0.06, 10, 1\/27 in ascending order.\nAnswer: -3, -1\/4, -0.06, 1\/27, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 3*w + 13. Calculate i(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -5 - (74 - 50) - -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15580 = 4*d + 4*c, -5*d - 3*c + 8902 = -10561. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 58. Let y be k(-23). Suppose y*u - 80 = 9*u. Let s = 31 - -8. Is s < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:47 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 20*h**2 - 12*h**2 - 362*h + 362*h. Let l(n) be the second derivative of -n**4\/12 - 2*n. Calculate l(m(g)).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 155*b**4\/12 + b. Is g(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, y: 6, p: 2, g: 1, u: 3}. What is prob of picking 2 p?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:26 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -3*m**4\/4 - 3*m**2\/2 + 4*m + 7514. Calculate o(-3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5328.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119936?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/12 - 2*b**3\/3 - b**2. Let z be h(4). Solve 4*j - z = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 - 88. Let u = z - 69. Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004177 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 4*g - 1. What is the units digit of w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277059.\nAnswer: 3, 92353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -22549506 at least -22549501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*f + 3*f + 0*f)*(-4 + 2 + 4) + (-1 + 2*f + 1)*(1 - 2 + 3))*(-5 - 2 - 9).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 294\/(-756)*34\/(9\/(378\/(-196)))\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x - 17188 - 12422 = 265*x + 40*x for x.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 35*u**3\/3 + 70*u**2 + 125*u + 18. Let m(h) = -5*h**2 - 20*h - 18. Let g(w) = 3*f(w) + 20*m(w). Factor g(s).\nAnswer: 5*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m**2 + 4*m + 2. Let h(f) = 11*f**2 + 3*f - 10. Let i(c) = 12*c**2 + c - 9. Let o(b) = 5*h(b) - 6*i(b). Calculate 2*o(p) - 5*u(p).\nAnswer: 6*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**4\/12 - 2*i**3\/3 - 10*i**2. Let k be l(3). Let w(r) = 23*r**2 - 6*r + 5. Is w(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, 2\/11, -134, -0.32, -1\/5 in decreasing order.\nAnswer: 2\/11, -2\/33, -1\/5, -0.32, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-1 + 9 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**(12\/13)*(y**1)**22 assuming y is positive.\nAnswer: y**(278\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c9123 (base 15) in base 8?\nAnswer: 2336265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1323 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 316, 340, 364, 388, 412?\n\"Answer: 24*j + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -82704245 to the nearest 100000.\nAnswer: -82700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5895\/455880)\/((-21)\/(-112))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5121435 and 13.237?\nAnswer: 5121421.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*u + 14924 = 476 - 1984. Calculate the least common multiple of u and 28.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*g - 267*g = -825*g + 277*g + 34 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7550, 15098, 22646, 30194, 37742, 45290?\n\"Answer: 7548*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 + 4*y**3 - 4*y**3 + (-1 - 3 + 2)*(-3*y**3 + 0*y**3 + y**3).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3.9. Let o = -503 + 499. Let c = -489\/7 - -70. What is the closest to y in o, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 30771*w - 122*w**4 - 5439*w**2 - 21390 + 3*w**5 - 182*w**4 + 1674*w**3 + 187*w**4 - 10551 - 5319*w**2 = 0?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1341958, 2683997, 4026036, 5368075, 6710114, 8052153?\nAnswer: 9394192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 10*v - 5200 = 0. Round v to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 192 = -5*r - 2*p + 118, 0 = -5*r + 5*p - 60 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(10\/4) + (-22)\/(-110)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6401 + -6403.709. Let v = o - -0.009. Let a = v + -0.1. Round a to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 16) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 57870.\nAnswer: -405090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10*x - 3*x - 6*x. Let f(p) = -2*p. Determine f(o(k)).\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 + 3980*a**2 + 23871*a + 35802.\nAnswer: (a + 3)**2*(a + 11934)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -470.0738 + 0.0738. Let q = 5726492.0313 + -5726962. Let b = q - d. Round b to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4))**(-1\/54) assuming w is positive.\nAnswer: w**(-5\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 107*d**2 + 6. Let u(s) = 215*s**2 + 13. Let l(b) = -6*u(b) + 13*x(b). Let r(v) = -7*v. Calculate r(l(w)).\nAnswer: -707*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g + g)*(3*g + 5*g - 12*g - g**2).\nAnswer: -3*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 268, 529, 780, 1021?\n\"Answer: -5*l**2 + 276*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 4:09 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 8*s + 33. Calculate r(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/(54855\/(-88992)) - (-90)\/5175\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11 + 3*s**2 - 4 - 4*s**2. Let v(d) = 48*d - 96. Let p be v(2). Give o(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*q**2 + q**3 + 11*q**2 + (3*q**2 - 2*q**2 + q**2)*(-3*q + q + 0*q) + 9*q**3 + q**2 - q**2 + 7*q**3 + 16*q**3 - 30*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t = 0. Suppose -5*h + 3*h - 2 = 0, t = -5*p - h - 1. Which is the second smallest value? (a) -4 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8184108 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -374530 + 45230. What is l rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/24)\/((-2)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4190*l**2 + 2*l + 17. Let i(o) = -4195*o**2 - 3*o - 21. What is -4*i(g) - 5*p(g)?\nAnswer: -4170*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = 2*x, 4*j + 3*x = 11 + 8. Suppose -z = 4*v + 2417, -3*v - j*z - 3024 = 2*v. List the prime factors of 8\/10 + v\/(-20).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5)*1 + (sqrt(5) + -1)**2*2.\nAnswer: -5*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 29. Let y = w + -48. Let l be y\/(-12) - (-1 - -3). Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q + 4. Suppose -j + 2*m + 16 = 0, 0 = j - 2*m - m - 18. Suppose -2*s - j = -2. Let l(k) = -k**3 - 6*k**2 - 5*k + 3. Let d be l(s). What is p(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 685 = d + 8*j, j = -d + 688. What is the third derivative of 2*b**2 + 46 - 66*b**6 + d*b**4 - 4*b**2 - 687*b**4 wrt b?\nAnswer: -7920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.026\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*3*1*2)\/(((4*sqrt(54))\/sqrt(6) - sqrt(9)) + sqrt(72)\/sqrt(392)).\nAnswer: -42*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 88. Let s = b + 54. Suppose 5*h - 1465 + 3629 = q, 0 = -s*q - 3*h + 8725. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -27940 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, w: 3, l: 2}. What is prob of picking 2 n?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 13. Suppose a*z + 8 = 2. Sort z, -4, 3 in increasing order.\nAnswer: -4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7108 by 3.\nAnswer: 7108\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {s: 1, l: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 u, and 1 j when four letters picked without replacement from ljjbqjlqcjbcujbcql?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa1a90 (base 13) to base 3.\nAnswer: 121121120121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 + z**2)*(4*z - 2*z - z)*(2 - 1 - 15).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165168 and 26694?\nAnswer: 244944144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrtv when four letters picked without replacement from ttrvttvttrtrtttvtttt?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express 10301*h + 11 - 10311*h + 3 in the form c + q*h and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*q**5 - 780*q**4 - 2395*q**3 + 410*q**2 + 3420*q - 680 = 0. Calculate q.\nAnswer: -2, 1\/5, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.34039553 to 0 decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.09 - -0.09. What is the nearest to 0 in 0, 0.1, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45376018*s**6 - 157*s**2 + 2044*s - 18.\nAnswer: 5445122160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 4 = 20. Let d(w) = w - 6. Let b be d(8). Sort u, -5, b.\nAnswer: -5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + x + 87 = 0, -x = -4*x - 6. Let l = -76 - v. Solve 4*p - 16 = 5*k, 3*p + l + 6 = -3*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -127.\nAnswer: 5\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 848 = 104*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 399401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + -3 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 537, 5, -4.7 in decreasing order.\nAnswer: 537, 5, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b - 8. Let r(i) = 4*i - 2*i - 5*i**2 + b*i - 2*i - 4 + 14*i**3. Let j be r(4). What is j rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 5 - 5)*(-4 + v + 6*v - 9*v).\nAnswer: 6*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddld. What is prob of sequence lddd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 - -215.4376. What is o rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - a + 35 = 3*a, -r - 5*a = -20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-441)\/18 + (-2)\/(-4). Let n = o + 26. Find the second derivative of -2*t**n + 3*t**2 + 9*t - 7*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 14.4. Which is the second biggest value? (a) 3\/7 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 266, -17, -1, 276, 0.5, 0 in decreasing order.\nAnswer: 276, 266, 0.5, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 15 = i. What is the greatest common divisor of i and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 7:13 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21371, -20989, -20607, -20225?\n\"Answer: 382*n - 21753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r**3 + 19*r**2 + 85*r - 31. Is m(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -35558 - 126032. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 9 - 9*1. Let z be (9\/6)\/(n\/(-8)). Suppose 14*w - 36444 = z*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 4*r = 12*f - 13, -2*f - 3*r = 8 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**5 + 280*q**4 + 2115*q**3 - 336130*q**2 + 4909940*q - 8496600 = 0.\nAnswer: -35, 2, 21, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -209\/6639570 and -23\/189.\nAnswer: 6639570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20c9 - 5785?\nAnswer: -785e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkavazvvv. Give prob of sequence hkv.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 49*l**4\/3 - 56*l**3\/3 + 8*l**2 + 13*l + 11. Let q(t) be the first derivative of s(t). Let q(j) = 0. What is j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 241?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2 - 2319*n + 34986 wrt n.\nAnswer: 6*n - 2319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*p - 151 - 139 + 57 + 51 in the form u*p + x and give x.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*z**2 - 3*z**2 - 20*z**2)*(0 + z**2 + 0).\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 174 = 2*t, -6*t - 315 = -2*t - 3*h. Let x = -57 - t. Suppose -q + x = q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60611 + -576?\nAnswer: -61287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 23*z**3 + 5*z**2 - 13*z + 5. Let l(g) = 288*g**3 + 63*g**2 - 162*g + 63. Let b(a) = 63*i(a) - 5*l(a). Find the second derivative of b(r) wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l - 4. Let i be ((-12)\/(-8))\/((-2)\/l). Suppose 5*d = 3*n + 19, i*d + 12 = n + 5*d. Solve 0 = 2*r + n - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-16)\/(-3))*-16. Let m(h) = -h**2 + 6*h - 2. Let o be m(6). Let d be r\/(-9)*o\/(-12). Which is the second biggest value? (a) -3 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.008276*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-765)\/135 - (8\/6 + -1). Let d = 475 + -478. Put d, -4, l in descending order.\nAnswer: d, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465 = -3*p + 3*k, -p - 2*k - 650 = 3*p. Let i = 164 + p. Let s be (6\/(-105))\/((-4)\/(-20)). Which is the second biggest value? (a) s (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2) - 6\/(-4). Let s = -81 + 83. Suppose f*k = -s*k + 254. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.28303.\nAnswer: -0.028303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(1100) + sqrt(1100))*-2 - (2*sqrt(1100))**2*2) - (sqrt(1100) + (3*-2*sqrt(1100) + sqrt(1100))**2 + sqrt(1100) - (0 + 0 + sqrt(1100)))*3.\nAnswer: -91298 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 22*p**2 - 5*p + 21. Let t be u(3). Suppose 4*a - 30 + 2 = -3*x, 5*x = 4*a + 68. What is the highest common factor of t and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 2*q. Let c(k) be the first derivative of 3*k**q + 5 + k**2 - 6*k + 2*k**2 + 0*k**2. Find the first derivative of c(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(1 - (-1)\/1) - -18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2\/7 + 977293098*y\/7 + 79591816616536467\/7 = 0. Calculate y.\nAnswer: -162882183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 5 - (-11 + 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 147, 331, 633, 1053, 1591?\n\"Answer: 59*k**2 + 7*k + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 21. Put 0.1, s, 45 in increasing order.\nAnswer: s, 0.1, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85 in -16, 4, -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n. Let m(k) = -44*k + 2. What is u(m(y))?\nAnswer: 132*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72549 + 72582. Suppose -3 = 2*n - 11. What is the nearest to p in n, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/((-6)\/(-8)*260\/(-78)*104\/130).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.6 + 1172.\nAnswer: 1189.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1471?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(5\/6)*m*m*m**7*m*m)\/(m**(-2\/5)*m**7) assuming m is positive.\nAnswer: m**(187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2705\/17 + -159. Let t = -3.97 - 0.03. Suppose 0 = 2*m + 3*m + 3*r + 7, -r = -2*m - 5. Which is the closest to -1\/3? (a) t (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 422 + -160. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33440 and 1120.\nAnswer: 234080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79380 and 4340.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3000 = -3*d - 2859, -3*i - 209 = -4*d for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 - 1.04. Suppose -5*y = 4*n - 2, 0 = -2*n + 4*y + 16 - 2. Sort -3\/2, s, -2\/3, n in decreasing order.\nAnswer: n, -2\/3, s, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -45*p + 1. Calculate the remainder when a(-1) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = -6, a = -w + 3. Let q = w - -24. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 8*c = 30. Solve 0 = -5*j - 2*b + 4, c*j + 0*b - 2 = -b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)\/p)\/(p*p\/(p\/(p*p**(3\/8)*p))))\/(p\/((p*p\/(p**(-2\/7)\/p*p))\/p)*p*p**3) assuming p is positive.\nAnswer: p**(-509\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 23*d**2 - 68*d + 18. Does 27 divide k(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*(-21)\/14*120\/(-4140)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 70*n - 8189. Let c be f(93). Which is smaller: c or -1676?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27858 is divided by 7398.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42259.5 decades?\nAnswer: 422595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 11*d - 3*d - 4*d - 3 - 3*d to the form r + q*d and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0 + 1\/48*h**4 + 0*h**2 + 3*h - 1\/24*h**3. Determine k so that o(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9 = 2*t. Let m = -3 - t. Solve m = -5*l - 0*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s = -5*x - 20*s - 2, x - 12 = -5*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -110043*r**3 + 9*r**2 - 3*r - 6. Let s be l(-4). Let f be 3\/(-2) + (-163000649)\/(-14). Let y = s - f. Round y to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46131833\/355 - -129949. Is x less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 13. Let z(s) = s - 2. Give q(g) - 4*z(g).\nAnswer: -g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:09 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9570*v - 1925587 = 9509*v. What are the prime factors of v?\nAnswer: 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17876?\nAnswer: 2, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -35*r**2 - 5*r + 5. Let c(y) = -y**2 - y + 1. Suppose -134 = 130*p - 4. Calculate p*l(f) + 5*c(f).\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/462 + 63 + (-2760)\/44?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/2, 138, -46?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.879695 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/2)\/((-6)\/4). Suppose 224 = 4*n - 0*i + p*i, -4*n + 209 = i. Is n bigger than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/30)\/(6\/(132\/(-11))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4169 + -4293. Is r not equal to -2382\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 8:45 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152205.12 months in decades?\nAnswer: 1268.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g**2 + 0*g)*((6 + 29 + 8)*(-7 + 20 + 17) + 3 - 2 + 1).\nAnswer: -1292*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*s + 42, 2*t + t = 3. Let y = -384\/43 + 8565\/1118. Find the common denominator of y and (-6)\/s - (-82)\/12.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 305883?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100020202 - 12?\nAnswer: -100020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*u - 2039, -5*u + 480 = 4*i - 2889. Does 31 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*i + 16876 = 5161*i - 85898 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = -2*x - 32. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*s + 46, -8 = 2*i + 2*s + 12. What are the prime factors of (-639)\/(-6)*i\/(-9)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640049.\nAnswer: 640049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 8*d = -24. Suppose 2*m = 6*m - d. Suppose -8*q = -m*q - 180. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -47. Suppose -2*g - x + 3 = -7*g, -l = -x. Let p(a) = a**2 - a - 5. Let w(k) = 1. Let v(b) = p(b) + 3*w(b). Determine v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) 0.7 (b) 0.15 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 81*q**2 + 2. Let x be v(2). Suppose -d + 40 = x. Let k = d - -676. What is k rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 424000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 133519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 5. Let t be (n - 5)\/((-1)\/(-1)). Let y be (-6 + t + 3)*7. Solve 3*h = b + 2*h - y, -2*h - 10 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + h + 5086533 = 5086517, 2*h + 12 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + 4 + -4 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6766*i**2 + 2362*i**2 - 9120*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 5*f**2 + 8*f - 9. Let p be h(6). Suppose 3*v - 111 = -p*x, -2*v - 3*v + 171 = -2*x. Suppose -18 = -k + v. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25524 < 25491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = -12. Suppose -4*h + 68 = -4*p, -p - c = 2*h - 34. Suppose h = -w + 6*w. Solve -4 - 11 = w*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(5\/4)))\/((z*z*z*z*(z*z*z*z*z*z\/(z*z**9\/z))\/z*z*z*z*z)\/z))\/(((z**(-10)*z)\/z)\/(z*z*z\/(z*z**5)*z)) assuming z is positive.\nAnswer: z**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 2. Let y(r) = -r**3 + 39*r**2 - 36*r - 81. Let t be y(38). What is the smallest value in j, -5\/6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 3*s - 1. Let p be j(-1). Suppose 2*o - p = 3. Solve o*m - 3 + 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + t = 3*h - 4, 4*h = -t + 3. Let d(o) = -1016*o**3 + o - 1. Let g be d(h). Let a = 2335 + g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/55)\/((-4)\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1783 - 529 = 114*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 693.4?\nAnswer: -762.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 276270515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461933332.\nAnswer: 2, 7, 16497619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 11 - -2) + (-47 - -26) + 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhwwhwhwhhw. Give prob of picking 2 w.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ucycqckuqkyqyzcuq.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kubbuk. Give prob of sequence bub.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-8 - (-10 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:32 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 10:09 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.0466 rounded to one decimal place?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25 + -5)\/(9*9\/54). Let y be 20*((-21)\/108 + (-5)\/v). Factor -y*w + 2\/9*w**2 - 4\/3.\nAnswer: 2*(w - 6)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 249*o**2 - 377*o**2 - 495*o**2.\nAnswer: -625*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-496))\/((-3281)\/26248).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-424)\/(-636)*138\/4. Solve -6 = 29*i - v*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110920*g**2 - 4613155.\nAnswer: -221840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.5, -0.5, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 1. Let a be j(-3). Let i = a - 2. Sort -3, -5, i in descending order.\nAnswer: -3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127184127241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 + 0.31. Which is the nearest to j? (a) 0.045 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1815 and 3751.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-3)\/((-9)\/2). Let o(v) = -4 + 6*v - 1 - 5*v. Let g be o(5). Which is greater: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -274 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 13*b - 184. Give p(35).\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 30*z + 70. What are the prime factors of m(28)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 + 3*c**4 - 37 + c + (0*c**2 + c**2 + c**2)*(-1 - c**2 + 1).\nAnswer: c**4 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a, -5*q + 24 + 56 = -3*a. Let c be 0 + (-1 - q\/(-4)) + 5. Factor -19*t**3 + 0 - 20*t**2 - 10 + 6*t**3 - 25*t + c*t**3.\nAnswer: -5*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(128) - sqrt(128)) + 5)**2.\nAnswer: -1611 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 22. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 35 = 0, 4*i - 31*t + 34*t = -31 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -2 - (-1 - 16). Let w = -9 + l. Let a = w + -4. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*i + i - 23 = 0, -26 = j - 2*i. Let m be 7\/14 - (-1 - 39\/6). Let s be (-1)\/(-4 - ((-132)\/m)\/11). Which is the nearest to s? (a) j (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from bwbwbibw?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(15)\/sqrt(125) - sqrt(3)).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -17, -3\/8, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 2731, 9200, 21803, 42586?\nAnswer: 73595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*b + 8. Suppose -b*j + 71 = -97. Suppose -5*p + j = 9. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 196 - 196. Suppose -5*w - 3*p + 281 - 8 = u, 4*p + 266 = 5*w. Calculate the least common multiple of 4 and w.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-258)\/688)\/(6\/(-176)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.9439554us in days?\nAnswer: 0.0000000002887031875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*s - 41*s - 19*s**2)*(-3*s**2 + 3*s**2 - 2*s**2).\nAnswer: 38*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {a: 1, h: 9, b: 1}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3611 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*s - 39 = -35, b - 2*s - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 700715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 69 + 510. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-4 - 3556\/126) - ((-20)\/90)\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49249 (base 14) in base 10?\nAnswer: 178817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -28957\nAnswer: -11582.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1604130 divided by -534710\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -1. Suppose 3 = f*c - 7. Sort 3, c, -2.\nAnswer: -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-four thirds of a hour?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3567.97 + -3568. Let q = 0.09 + 3.91. What is the second smallest value in q, a, 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + -15 + 17 + -32.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 8) in base 4?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from -265087.\nAnswer: -265068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -357*n**6 + n**4 + n**3 - n**2 - 264*n.\nAnswer: -42840*n**3 + 24*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j + 34*j - 1 - 29*j - 2.\nAnswer: 36*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 3*s**4 + 3*s**4 + (s**4 - 3*s**4 + 4*s**4)*(9 + 20 + 20).\nAnswer: 99*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2176 - -0.5176. Which is the nearest to 7\/4? (a) -0.2 (b) 0.2 (c) 0.1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 - 213576*a**3 + 11755758*a**2 + 213576*a - 11755755 = 0 for a.\nAnswer: -71247, -1, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -332769, -1329953, -2991921, -5318667, -8310185, -11966469?\n\"Answer: l**3 - 332398*l**2 + 3*l - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5550 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8756127 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 56*j**4 + 4*j**3 + 4*j**2 + 33. Let a be (2\/3)\/((-4)\/24*-4). Let r(y) = -y**3 - y**2 - 1. Let m(f) = a*c(f) + 4*r(f). Differentiate m(s) wrt s.\nAnswer: 224*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -4 (c) 1 (d) -13\/2 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-3))**(16\/5)*g**(1\/5)*g*(((g**(-2\/19)\/g)\/g)\/g)\/g)**(11\/3) assuming g is positive.\nAnswer: g**(-1276\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12265, 12268, 12271, 12274?\nAnswer: 12277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 41, 112, 223, 380, 589, 856, 1187?\n\"Answer: g**3 + 11*g**2 - 3*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.21 in -3.1, 8, 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221224\/5 + 44246. What is j in -w*j**3 + 3\/5*j + 1\/5*j**4 - 2\/5*j**2 + 1\/5 + 3\/5*j**5 = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -2.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 10*s - 23, -183*q = -176*q - s + 90 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - 259\/(-28). Let j = 8 - o. Let x = j + 9. Solve 0 = -3*c + 4*b - 7, -4*b = -4*c + b - x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.132 - -0.012. Let r = 0.12 + q. Let y = 10 - 5. Which is the nearest to -0.1? (a) -2 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 + (-58047)\/(-4). Let a = -3787627\/261 + c. Let z = -9095\/2088 - a. Find the common denominator of z and -11\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0184 - 0.3016. Let a = 0.074 + 0.296. Let u = j + a. Does 2 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66400 - 66399.6. Suppose 11 = -4*q - p, -5*q - 3*p + 0*p = 19. What is the closest to 1 in 4\/9, q, j?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-108)\/(-10))*644\/(-805)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(30)\/sqrt(5)))\/(sqrt(3)*-1*-4 + sqrt(3) + sqrt(3)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - 711*l**3 - l + 3*l - 3*l - 394*l**3 to f*l**3 + z*l**2 + t*l + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from xooxoxjoxxoxoogojo.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x + 49. Give g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65820 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -591242 - 3\/(78\/208). What is w rounded to the nearest one thousand?\nAnswer: -591000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-156)\/36))\/((-2)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 617? (a) 5 (b) 32\/17 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2276905 litres to millilitres.\nAnswer: 227.6905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 27*z + 65*z - 18 - 25.\nAnswer: 38*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 102.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.07, -2, 110404 in increasing order.\nAnswer: -2, -0.07, 2, 110404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182120 is divided by 11382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 21 = 2*c, 53*t - 52*t = 3*c - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2813, -4519, -6225, -7931, -9637, -11343?\n\"Answer: -1706*i - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -202 + 3*o**2 + 0*o - 1\/3*o**3. Suppose 3*t = t + 12. Determine r(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.054 in 72, 3\/5, -26\/29, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v + 35. Let j be q(8). Suppose 0 = 2*k + j + 11. Let x = k + 48. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/4 + 6\/24. Let p be -2*((-3)\/(-6) + h). Suppose 54 = 3*k + 4*d, 5*d = -p*k + d + 90. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + -4 + sqrt(13))**2.\nAnswer: -14*sqrt(13) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 544\/(-1360)*5*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 5 - (-3 + 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*j*w - i**3*w**3 - 4*i**2*j**2*w**2 - i - 8557*j**3*w**3 - 2*j**3*w - 96*j*w**2 wrt w?\nAnswer: -6*i**3 - 51342*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 8*x**2 + 10*x + 25. Let k be l(-7). Suppose 0 = k*i - 3*c - 50, -i + 2*c + 15 = -0. Solve -i*m + 14*m = -9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26\/7 (b) 1\/6 (c) -2 (d) -0.28 (e) -0.02 (f) 99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 412914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 141312 (base 7) to base 5\nAnswer: 1330120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16870752 divided by 1874528.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 242408268 to the power of 1\/2, to the nearest integer?\nAnswer: 15569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 + 68*b**2 - 320*b + 336 = 0.\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -642.1 and -4?\nAnswer: 2568.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*((sqrt(7) + sqrt(7) + 0 + 4 + sqrt(77)\/(-2*sqrt(11)) + (2*((sqrt(84) - 1*sqrt(84)) + sqrt(84)) + sqrt(84))\/sqrt(12))**2 + -5).\nAnswer: -610 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -566 + 574. Let t(g) = -28*g + 321. Calculate the remainder when t(j) is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/3 + 74588*k**3\/3 - 695698*k**2 + 2459604*k - 1788768 = 0. Calculate k.\nAnswer: 1, 3, 24, 37266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in -1\/2, 2, -2\/653?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7297633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 2*p - 9. Let u be v(4). Let a be (-1796)\/18 + (-14)\/u. Let z = 261 + a. What is the highest common factor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*c + 21*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {l: 3, b: 3, p: 8, g: 2, i: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u**2. Let f = -4577 - -7330. Let a(t) = -f + 4*t**2 + 2753. Determine y(a(x)).\nAnswer: -128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351*j**2 - 20*j**2 + j**3 - 134*j**2 - 100*j**2 - 97*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 33. Let u(m) = 22 - 8*m + 5 + j + 86. Is u(0) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2589.62667 to the nearest integer.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -412324 - 15?\nAnswer: -412343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - (-4 - -26)) + -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3020*m**3 - 12291*m**2 - 1219434*m + 233?\nAnswer: -18120*m - 24582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h**2 + h + 6. Let n be 2*(-1)\/4*0. Give j(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 4*t**2 + 3*t - 1. Let d be x(5). Let m(a) = -a - 9. Let q be m(d). Is q at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*i + 1044, i + 1044 = -z - 3*z. Let j = -122 - z. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 2*l**4 - 2*l**3 + (-3 + 3 + 2*l)*(-2*l**3 + 2*l**2 - 2*l**2))*(62 + 101 + 102).\nAnswer: -530*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*x**3\/4 - 175*x**2\/2 - 184*x - 24.\nAnswer: -(x + 4)**2*(43*x + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/34535 (b) 1192 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 3. Let p be 3\/a - (-25)\/30. What is the closest to -0.4 in p, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(12) - sqrt(7)) + sqrt(175) + 5 - (-3*2*(sqrt(7) + -1))**2.\nAnswer: -283 + 153*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32290 is divided by 7994?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653103159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 7*j + 8. Let s = -6 - 2. Let a be u(s). Solve -7*h + 3*h + a = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*j - 12*j**2 + 250*j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.79 - 0.21. Let x = -3 - -3.6. Let n = x + 0.4. Which is the second smallest value? (a) -0.5 (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*y = -w - 16, 5*y = -3*w - 34 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - x + 4 = x, 4*m = -4*x - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 - 168 = 13*q - 41 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k = 28*k + 2032. Let l = k - 130. Sort l, -5, 2 in decreasing order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19261 is divided by 9450?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.94597 rounded to 2 dps?\nAnswer: 31.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198357 = 2284*b + 3077*b for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 174*l - 524. Determine j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 4) + -6 + (26 - 7) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 12*m**2 - 9*m - 9. Let t be a(11). Solve -5*y + t + 2 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = -33. Let l be (1\/(-2))\/((-8)\/t). Which is the nearest to 0.1? (a) 5 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*r - 15*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 6. Give i(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -6. Suppose 3 = -3*l - 0*l - z*u, -4*u = l + 10. Suppose -4*a + l*a + 418 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13322 + -132?\nAnswer: -13454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11116.297 to the nearest one hundred.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -3336180?\nAnswer: -16680900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 greater than 2180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (9 + (-4 - -7) + -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/55 + (-26372)\/20900 + 0 + 1. Which is the second smallest value? (a) n (b) 13 (c) 3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5 + 0*q + q + q. Let d be g(4). Let t(m) = 1299*m + 1302*m - 3910*m + 1305*m. Let p(w) = -36*w. Calculate d*p(f) - 28*t(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8489, 34010, 76569, 136172, 212825, 306534, 417305, 545144?\n\"Answer: w**3 + 8513*w**2 - 25*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/60 - 5*k**4\/24 + 2*k**3\/3 + 12*k**2. Let i be o(5). Let h = -2 + 7. Sort i, h, -2 in decreasing order.\nAnswer: h, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -815, -1832, -3255, -5084?\nAnswer: -7319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2\/7 + 735822*i\/7 - 1471636\/7 = 0?\nAnswer: 2, 367909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l + 2. Let p be u(0). Suppose 0 = -j - 2*j + p*m + 23, 4*j = 5*m + 40. What is the biggest value in 0.3, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1256 - 1245. Let u(j) = 10*j**2 - 13*j + 9. Let f(n) = -5*n**2 + 7*n - 5. What is w*f(s) + 6*u(s)?\nAnswer: 5*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 33. Let i be h(12). Sort 0, -3, i in ascending order.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v + 2. Solve 0 = v*w + 5*f + 15, 4*w = 6*w + f - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4020694 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8510 is divided by 57?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1351 + 1461. Calculate the smallest common multiple of 44 and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -43*s - 17. Let d be ((-11)\/((-231)\/(-28)))\/((-2)\/(-9)). What is the tens digit of w(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 8*w + 2. Let k(x) = 3*x**2 - 10*x - 3. What is -7*b(l) - 5*k(l)?\nAnswer: -l**2 - 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 16597048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 + 2*a + 2. Let p(n) = -13*n**2 + 7*n + 7. Let i(j) = -7*c(j) + 2*p(j). Is i(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + y + 59, t - 3*y = -6*y - 32. Let h = t + 31. Let d(x) = 0*x**h + 2 - 2 + 2*x**2. Let p(q) = -9*q**2. Determine p(d(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.394355mg in grams?\nAnswer: 0.005394355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-220)\/(-33))\/((-4)\/(-642)). Suppose 0 = -3*j + p + 2191. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/60 - 3*g**4\/4 - g**3 - 2*g**2 - 71*g. What is the remainder when 163 is divided by d(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 - 4.91. Let t = -4.4 - q. What is t rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2347.76 - -2439. Let p = -1.76 - g. Let j = 93.000074 + p. What is j rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1037 - 901. Calculate the remainder when n is divided by 121.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 3. Give w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x - 206*x - 10 = -1530 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - r - 7 + 9 = 0, 3*l + 8 = -r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 767 + 85. Find the common denominator of ((c\/18)\/(-2))\/(-3) and -3\/227.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 smaller than 3263191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 634 + -629. Which is the nearest to 2\/3? (a) -3 (b) -4 (c) s (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 19*a = 20. Factor -1\/2*s**a + 0 + s.\nAnswer: -s*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -17, -7\/8, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 263 + 5?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-12))\/(-1))\/(151\/(-3171))*-6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1979469 and 1319646?\nAnswer: 3958938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79786755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 2. Let f be q(-1). Suppose -l + 1 = 0, 2*z = -2*z + 2*l - 22. What is the units digit of z*f*(2 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(9 - (2 - -26))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 65*f**2 + 44575*f + 24819920. Let t(p) = 17*p**2 + 11144*p + 6204980. Let y(s) = 4*n(s) - 15*t(s). Find q such that y(q) = 0.\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*o + 724*o + 134*o.\nAnswer: 1311*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 5:20 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (109 - 128 - (-9 - 1) - (1 - 9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + l = 27, 12 = 6*j - 1007*l + 1003*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.1. Let l = v - 3.1. Let s = 4.08 + -0.08. What is the nearest to -2 in -0.4, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 7*p + 8*k = 195, -4*p = 13*k - 193 + 156 - 268 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8226 - -8230. Let p = -0.2 + 0.1. What is the third biggest value in p, -15, i?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428 = 6*y - 4. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-4)\/16)\/1)\/((-15)\/((-2100)\/7)). Let v = 957\/4 - 238. What is the fourth smallest value in 0, j, -9\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -453642 (base 8) to base 15.\nAnswer: -3073b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629 = -114*a - 853 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004203 to 5 decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*r + 3*n + 6, -5*r = 3*n + 12. Let j be 17 + (-2)\/((-6)\/r). Suppose -3*u - 24 = -g, -4*g + 5*u = j - 77. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, s: 2, o: 5}. What is prob of picking 2 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22694 and 35.\nAnswer: 113470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, b: 11}. What is prob of picking 1 f and 1 b?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by ((-20)\/10 - -8)*14\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3212 + -3212.0002417. What is a rounded to six dps?\nAnswer: -0.000242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0 + 0)*(0*z**2 + 0*z**2 - z**3) - z**4 - z**4 + z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 51*o**2 - 177*o**2 + 1 + 11.\nAnswer: -126*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*s - 110*s + 156*s.\nAnswer: 326*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-2 - 2 - -3) - -1369. Suppose 6825 = 5*s - 5*g, s - 4*g = -5*g + h. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5448.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 5*b**3 - 7*b - 13. What is the derivative of p(q) wrt q?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f - 207*f + 752*f - 261*f - 259*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-20)\/(-360))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 30*m + 1. Let j be n(6). Suppose -4*r + 4*a = -1144, -1428 = -2*r - 3*r + 4*a. Let p = r - j. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -312*l + 929*l - 317*l - 316*l. Let d(x) = -33*x. Determine -2*d(j) + 5*q(j).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 274*k - 53*k - 709 + 709 - 130*k. Let x(w) = 17*w - 9. Let d(v) = -4*v + 2. Let n be 52\/6 + (-1)\/(-3). Let f(g) = n*d(g) + 2*x(g). Determine f(i(s)).\nAnswer: -182*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 = -20*c - 219 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 + 1 + 0 + 1 + 25*v**3.\nAnswer: 38*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -141182460 divided by -108\nAnswer: 1307245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a factor of 7130380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g + 110. Let q be f(18). Solve -2*a - 4*l + q + 2 = 0, -4*a + 4*l = 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 2) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4969 + 9935 - 4966 + 4*l - 4*l - 18*l**3.\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((1*(-5 - -1))\/(-54))\/(1\/6)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-7\/5)))\/((d**(1\/5)*d*d)\/d))\/(d**(-9)*d\/(d**(-5\/3)*d)) assuming d is positive.\nAnswer: d**(71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 9*b**2 + 11*b - 8. What is the remainder when (-5 - 70\/(-20))*1*-4 is divided by r(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246413*m**3 + 10 - 123349*m**3 + 3 + 16 - 123066*m**3.\nAnswer: -2*m**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*b - z, 0 = -4*b - 2*z + 4 + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -26.4. Let d = -3.7 - 0.3. Let v = 2 + d. What is the closest to 0 in v, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*t + 3. Let k(l) = 6*l + 2. Let z be k(0). Is z less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(-1*sqrt(171) + sqrt(171))*-1)\/(2*sqrt(900) + sqrt(900) + (sqrt(576)*-2 - sqrt(576) - sqrt(576))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2114044\/2645 < -800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 190130845 from -0.3.\nAnswer: -190130845.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102627 and 24462.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-5 + 16 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-110) - 3*8\/66. Let d = -0.34 - -0.3. Sort -2\/5, v, 0, d in ascending order.\nAnswer: -2\/5, v, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v - 295 = -45. Solve -5*h - 5*t = -5, 14 + 21 = -v*h + 5*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**17*u**(11\/2))**(-23) assuming u is positive.\nAnswer: u**(483\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*l - 494*l - 35370 = -284*l for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x**2 + 17*x**3 + 62*x**2 - 15*x**2 + 540 - 12*x**3 - 5*x**2 + 405*x = 0. What is x?\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 126043 = 2*w - 5*j, 0 = -3*w + 5*j + 189102. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 16*r = 1491 - 3916 + 1185, 0*r - 4*r = -4*a - 292 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -3*m**2 + 4*m**2 + 0 - 7 - 3*m. Differentiate d(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9867.0089 rounded to the nearest 10?\nAnswer: -9870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169873 - 23272495\/137. Let d = m + 1951\/4384. Find the common denominator of d and -83\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865280 (base 11) in base 12?\nAnswer: 56859b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 31*g - 1. Let v be p(1). Let q be (v\/2)\/(1 + 0). Suppose -5*h + 159 = 3*k, 3*h + h = 4*k + 108. What is the greatest common factor of h and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = -4*v, v = 3*q - 1 + 6. Suppose q = 42*z - 36*z - 270. Is z > 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 16 - 4. What is the remainder when 7 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0614 (b) -1\/4 (c) 0.32 (d) -9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.7664, -22, 3, 1, 0.4, 0 in decreasing order.\nAnswer: 3, 1, 0.4, 0, -3.7664, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -28. Let i = v + 55. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.044, 85 in decreasing order.\nAnswer: 85, -0.044, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581266572.\nAnswer: 2, 3, 48438881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 0.0326, 1.9, 1\/103?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-24))\/((-1)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*x**3 + 0*x**2 - 124*x**3 + 232*x**3 + 0*x**2.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 3*u - 88. Determine o(17).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 times 50620?\nAnswer: -8048580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-168))\/(12\/(-21)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1273, -9557, -32061, -75895, -148169, -255993, -406477?\n\"Answer: -1185*r**3 + 11*r - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + sqrt(1331) + 2 + sqrt(1331) + -3)*4 + sqrt(11) + sqrt(44)*3 + ((sqrt(99) - sqrt(11)) + sqrt(11) + -5)**2.\nAnswer: 120 + 109*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -98, -160, -232, -320, -430, -568?\n\"Answer: -q**3 + 4*q**2 - 63*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f + 927 = 0. List the prime factors of f.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Suppose -5*q = 2*p - 44, 3*p = 2*q - 12 + t. Let u = -465 - -473. Calculate the highest common factor of q and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 3*t + 2*t + (-4*t - t + 3*t)*(-1 + 0 + 3) + 0*t + 3*t - t + (0 + 1 + 1)*(-3*t + t - t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 22 = -4*c. Calculate the common denominator of 31\/5 and 1308\/15*7\/56 - c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z = -1106 - 604. What is the least common multiple of z and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/4 + -2)*(-133 - (166 + -295)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -147*b - 1616. What is n(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z**(26\/5)\/z))*z**(-33))\/(z**(12\/7))**26 assuming z is positive.\nAnswer: z**(-2533\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -12*s - 165. Let z(h) = h**3 + 15*h**2 - h - 17. Let b be z(s). Let x be b\/(-8) - 344\/(-32). Solve 4*q + x = -9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168057 greater than 168057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**3 + 3*m - 3*m + (0 + 6 - 2)*(-m**3 + 0*m**2 + 0*m**2))*(61*m + 54*m - 46*m) in the form h*m**4 + v + x*m**2 + w*m**3 + y*m and give h.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - c + 655, 5*v + 0*c - 655 = 2*c. Let h = v + -3273\/25. What is the second biggest value in h, 0, 1\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -5, 0.3, 126, -3?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 117*v + 706. Let g be c(-6). Solve g*f - 18 = -2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/294*(-1)\/8?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26674544 is divided by 3334317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-54)\/72)\/((-1)\/8) and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.383, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l. Let p(o) = -o. Let n(z) = -7 + 7 + z + 0*z. Let s(h) = -2*n(h) - p(h). Determine c(s(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8 + (-13 - -6) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.044 (b) 3 (c) 17 (d) -19\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1690 and -91\/10?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 30 = -3*m, -45 = -17*m + 13*m - 5*t. Which is the second biggest value? (a) -3 (b) -5 (c) m (d) -2\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12887 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39887.\nAnswer: 39887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -603\/14. Find the common denominator of -23\/16 and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s**(-1))**(-2\/3))**43)**36)**(2\/101) assuming s is positive.\nAnswer: s**(-2064\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 16*j**3 + 2*j**2 - j - 2. Let l be k(-1). Which is the closest to l? (a) -0.3 (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3486464753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + 2*k)*(-4*k**3 + 2*k**3 + 0*k**3) + k**4 - 7*k**4 + 8*k**4 + k**4 + 3 - 3.\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 141667671 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (532\/(-42) - -12)*3*-1. Put 63, o, -9 in decreasing order.\nAnswer: 63, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 1549 = 747. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:41 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 + z + 3. Let y be k(-5). Let u = y + -55. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 6. Suppose n - g*n = -12. Differentiate -n*j - 2 + 2*j + 1 with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42050 to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -215.85+-0.3\nAnswer: -216.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-371)\/(-106))\/((-9)\/6 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1136.527497 nanoseconds to weeks.\nAnswer: 0.0000000000018791790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068572942 rounded to 5 decimal places?\nAnswer: -0.06857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:24 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30821.\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1593.2 and 5?\nAnswer: 7966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -323*t + 5511. Let l be w(17). Let c(p) = p**2 - 20*p + 53. Give c(l).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479744353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2628.4 and 3374.\nAnswer: -8868221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34316 + 60770. Is (6\/12)\/((-3)\/b*-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 7 = 5*l - 12, 0 = -2*z - 26*l + 8*l - 38 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*d, -g + 3*d - 4*d + 4 = 0. Let a be 57*5\/45*3. Solve 4*k = -3*f + a, -g*f - 14 = -4*k - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24395909 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*d + 235*d - 9629 = 3189 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)\/(-1*1). Suppose 2*i = -6*n + n + 44, 2*n + 5*i - 5 = 0. Suppose 5*r - n = 0, z = -l*z - 5*r + 23. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let j(n) = 5*n + 7. Let t be -1*(-1 + -1 + 3). Let l(u) = t*j(u) + 3*m(u). Let w be l(-6). Calculate the greatest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4329520 and -39\/202768?\nAnswer: 2385565520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = -6. Let j = 8 + t. Suppose 0 = -w - 2, 3*q + 3*w + 2*w = 11. Calculate the smallest common multiple of q and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982870 is divided by 911.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.95 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 0.3, 0.2, -0.7.\nAnswer: -10, -1, -0.7, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1418*v - 31 - 28 + 85 - 26 to the form g*v + a and give g.\nAnswer: 1418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/4 - 2*o**3\/3 - 3*o**2\/2 + 3*o - 2. Let k be d(3). Suppose 0 = -k*h + 7*h - 2680. Round h to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 2*u**6\/21 - 8*u**5\/35 + 8*u**3\/21 - 2*u**2\/7 - 9. Factor a(p).\nAnswer: 4*p*(p - 1)**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51\/145 or 0.027?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 10. Let r(y) = -y + 1. Let l(j) = -5*r(j) + w(j). Let z be l(0). Suppose z*s - 17 = 3. Solve 0 = s*q - 9 - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4 + y + 1 - 3*y + 4. Let d be u(-1). Suppose 55 = 5*s + o, d*s - 5*o = 77 - 16. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 56, -1\/6, -1, 15\/4.\nAnswer: -1, -1\/6, 1\/4, 15\/4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 42 = -8*g. Put -15, -21, g, 4 in increasing order.\nAnswer: -21, -15, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465 = -238*y + 1417 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 99. Which is the biggest value? (a) -0.3 (b) f (c) -2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 4, 3, -0.2, 16.2 in decreasing order.\nAnswer: 16.2, 4, 3, 4\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(2\/15)\/q)\/q)\/q)\/q**5*q**(3\/7)*q\/(((q**(-1\/4)\/q)\/q)\/q))**(-6\/23) assuming q is positive.\nAnswer: q**(1339\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + -161 + -39 + 16.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5725905*i + 6242924.\nAnswer: -5725905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2270 is divided by 90?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5114*i - 20457. Give u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = -160*a + 321*a - 133*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 18*b - 567. Calculate y(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -14 (b) 6\/19 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295310*g**2 + 227407*g wrt g.\nAnswer: 590620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 4*g**3 + 0*g**3)*(-86*g**2 + 88*g**2 + 2*g - 1 + 0).\nAnswer: -4*g**5 - 4*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3892204 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzv when four letters picked without replacement from {j: 2, v: 2, d: 1, y: 4, z: 7}?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -766 - -1233. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(99) + 0)*-6)**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 562796 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3159)\/(-135))\/(8\/(-10) + 1). Suppose 0 = 2*w - 5*b + 9, 2*w - 2*b - 6 = -0*b. Suppose w*l = 21*l - p. Solve l = y - 3*r, -3*r + r + 8 = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.158 + -0.073. Let k = -0.083 + h. Let j = -0.002168 + k. What is j rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 230\/25 + (-3)\/15. What is the derivative of 1559*f**2 - 17 - 1559*f**2 - d*f**4 wrt f?\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - f - 8 = -55*h + 37*h + 8, 3*h - 4*f = -22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**17\/w**(-21) assuming w is positive.\nAnswer: w**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -21254215*l. Let m(h) = -2*h. Calculate f(m(y)).\nAnswer: 42508430*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b = -3 - 187 - 98 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -766, -1539, -2316, -3097, -3882, -4671?\nAnswer: -5464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74430 divided by -6.\nAnswer: -12405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 7*z**2 - 4*z + 4. Give k(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g - 13*g - 16*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 3}. What is prob of sequence wz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-3 + 5)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -2, 3\/4, 4, -1\/711?\nAnswer: -1\/711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c85 + -2?\nAnswer: c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 455, 453, 451?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 0*l - 2*l)*(2*l**2 + 3*l**2 - 6*l**2)*(-110*l**2 - 411 - 169*l**2 + 411).\nAnswer: -1674*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 528*p - 319. What is the units digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6907 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 73 - i - 45 + 0*i - 6*i**3.\nAnswer: -6*i**3 - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 - -0.04. Let b = s + 3.06. Let w = b + -1.9. Round w to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (1 + -4 + (-5 - -14))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/10444005 and 40\/77.\nAnswer: 73108035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 454 - 450. Solve 0 = -5*b - 5*y - 35, w*b - 3*b - 3*y - 1 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 u when three letters picked without replacement from uuuqnnuhhufuhhhuufuq.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 537548367?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrrx when four letters picked without replacement from xxtrrxrrrrxrxrxrxrx.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6 and -2\/5157243.\nAnswer: 10314486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -420962, -420511, -420060?\n\"Answer: 451*v - 421413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1737 by -579.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798424143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 8:00 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*c**3 + 371*c**2 + 543*c + 154.\nAnswer: -(c - 22)*(c + 1)*(18*c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 5*m**2 + 4*m + 3. Let z be v(-4). Let n be z - 3 - 2*-1. What are the prime factors of 7*(36\/21)\/n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/8 and (-8)\/12*69\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-56)*-2*1\/5. Let l be 2 - -5*(-4)\/9. Which is the closest to 1? (a) l (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3223, -6996, -11911, -18538, -27447, -39208?\nAnswer: -54391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 75*p**2 - 312. Let k(w) = 213*w**2 - 937. Determine 17*g(z) - 6*k(z).\nAnswer: -3*z**2 + 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*o - 96*o + 46*o - 66720 = 0. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 + -87. Suppose 12*u = s*u - 2. Solve 0 = -5*m - 3*f - 4 - 5, -m + 6 = -u*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -1)*1 - -2. Suppose -5*o + 4*z - 11 = 0, -3*o = 4*z - 17 - 2. Let q = o + r. Solve -4*a - 24 = 2*g - 8, 0 = 4*g + q*a + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0852667662 rounded to four decimal places?\nAnswer: -0.0853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202362*b**3 + 404715*b**3 - 51*b - 202351*b**3.\nAnswer: 2*b**3 - 51*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28463 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1480473126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 4*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 14\/(-4)*48\/(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 2*h**4\/7 + 22*h**3\/3 + 37*h**2 + 120*h\/7 - 22. Let y(z) = 0. Calculate z.\nAnswer: -15, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2) - (-22 - -3). Suppose 3 = 5*v - b. Suppose -6 + 2 = -v*h. What is the remainder when 1 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbp when three letters picked without replacement from {b: 2, c: 1, g: 3, p: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22367 is divided by 79?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -30. What is the remainder when 58\/4 + 15\/10 is divided by ((-4)\/k)\/((-2)\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 5*d**2 + 5*d + 9. Let n(p) be the first derivative of p**4\/4 - 7*p**3\/3 + 7*p**2\/2 + 13*p - 1. Let y = 19735 - 19740. What is y*n(z) + 7*f(z)?\nAnswer: 2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -50. Suppose -20 = z*m + 1. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 20 = 0. Suppose -d*a + 1 + 4 = 0. Let y be a\/(-2) - (-369)\/18. What is the greatest common factor of 220 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 252 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -18. Let l(z) = -z**3 + 4*z**2 + 5*z. Let j be l(i). What is the second derivative of -3*x + j + 0 + 0*x - x**4 wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1134 and 18144?\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1104\/(-322)*(-14)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 202*v**2 - 159*v + 9. Let u(y) = -101*y**2 + 80*y - 4. Let z(s) = -9*u(s) - 4*x(s). Find the second derivative of z(p) wrt p.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215914 is divided by 44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -404 - -410. Let u(d) be the first derivative of -12\/5*d - 9\/5*d**3 - y - 18\/5*d**2. Factor u(o).\nAnswer: -3*(3*o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {o: 6, b: 1, l: 1, f: 2, w: 2, k: 6}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 4) + 14 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256ba8 (base 15) to base 8.\nAnswer: 6661306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, 1, 3\/49?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3668 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, 3, -0.76, 1, 6.61.\nAnswer: -0.76, 0, 0.3, 1, 3, 6.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -160 - 20?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + 0 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 327\/(-477) - 2\/(-3). Suppose -62*p + 42*p = 0. Is x less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*w = -24, -3*w + 14 = -2*u - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186070408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28896031 to the nearest integer?\nAnswer: 5376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Solve 14 = -5*v + 5*u - 2*u, -5*u = -2*v + d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*n + 9, 4*w + n + 1851 - 1869 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 3. Let m = 882 - 885. Let p be 20\/(-6)*3\/(-2). Let x(w) = p - 2 - 2. Determine m*x(s) + g(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 1964b?\nAnswer: -1964a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 1, -3, 4, 91 in decreasing order.\nAnswer: 91, 4, 1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ini when three letters picked without replacement from {n: 7, i: 4, x: 2}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*j + 144*j = -5*f - 4, f - 4 = -2*j. Suppose 3*t - 80 = -2*t. Solve f = n - 4*c - t, -4*c - 13 = -4*n + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 12:13 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/19 - 39973520*u**2\/19 + 239841174*u\/19 - 359761788\/19 = 0. Calculate u.\nAnswer: -19986766, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1125304*i**2 + 1720355*i + 1.\nAnswer: 2250608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461 is divided by 395.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -6*f - 744. Suppose 33 = 2*s + 1. Let m = s - f. What is the remainder when m is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3931*x**2 + 11785*x**2 - 3932*x**2 - 3929*x**2 + 5*x + 4. Let s(t) = -t - 1. Determine f(q) + 5*s(q).\nAnswer: -7*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t. Let y(v) = -11*v**2 + 3*v + 3 + 13 - 16. Calculate y(u(c)).\nAnswer: -396*c**2 + 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5665.24861 - -5665. Round h to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s*s**(2\/33))\/s)\/s*s)\/s**(1\/6))**(-6\/11))**44)**(-32) assuming s is positive.\nAnswer: s**(-896\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 7*w - 9. Let v be f(-8). Let u be v + 3\/(-24)*-6. Which is the nearest to -2? (a) u (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/385 - 9661\/4620. Calculate the common denominator of p and ((-28)\/8 - -3)*7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 + 539 = -6*q. Let r be ((-6)\/(-8))\/(36\/q). What is the second biggest value in -3, r, -2\/19, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 15*h**2 + 21*h. Suppose -5*d - 21 = -3*x, -32*x = -30*x + 5*d - 14. Does 7 divide m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 8*a)*(-4 + 1 + 2).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 17 + 53. Suppose -f - 80 = -u*f. Let z = 29 + f. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17\/j*j*(j\/(j\/(j*j*(j\/j**(3\/4))\/j)))\/j assuming j is positive.\nAnswer: j**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26335 take away -427?\nAnswer: 26762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poppppppo. Give prob of sequence pp.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1261 by 4.\nAnswer: -1261\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 2*b**4 + 0*b**3 + 1 + 0*b + 0*b**2 + 4\/5*b**5 - 2\/3*b**6. Solve f(c) = 0 for c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 1:49 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-18)*m**(-4\/9)\/m*(m\/(((m**2\/m)\/m)\/m))**(-33\/5))**45 assuming m is positive.\nAnswer: m**(-1469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62.26826l?\nAnswer: 62268.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1)*-5)\/(2\/10). Suppose 4*n + 108 = 4*j, -5*j - 2*n + 62 = -45. Let q = z - j. Solve q = -2*t - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/15)\/(6\/(-99)). Suppose 2*u = -0*u + 5*t + v, 2*t + 8 = -u. Let z be (u*2\/10)\/((-4)\/40). Solve 3*h + h + 30 = -5*f, 5*f = z*h + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*w + 496, 289 = 2*w - 3*i - 2*i. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**5\/20 + 7*q**4\/12 - 3*q**3\/2 + 4*q**2 - 12*q. Does 16 divide v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 882347, 882346, 882345, 882344?\n\"Answer: -r + 882348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 21484313*m. Let k(x) = -5*x. Give d(k(n)).\nAnswer: -107421565*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -196*u - 50. Let v(o) = -o - 4. Calculate -l(m) + 12*v(m).\nAnswer: 184*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = 348. Is j a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-15)*(-3)\/(-2). Let b = 2149\/170 - 186\/17. Let a = b + u. Which is smaller: -0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 664, 4, -3, 6, -4 in increasing order.\nAnswer: -4, -3, 0, 3, 4, 6, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*z - 6915, -3*z + z + p = -2775. Let i = -751 + z. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - 0.8. Let m = 0.6 - o. Let w = -0.039 + 0.039. What is the closest to w in -1\/4, m, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/967 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -6 + 3 - -15. Solve m + c = -4*i, -4*i + 9*i = -4*m - 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1125 - 37*s**3 - 1125 + 172*s**3.\nAnswer: 135*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31685*l**5*s**3 + 2*l**5 + 99*l**2*s**3 + 2*l**2*s**2 + l**2*s - 19*l**2 wrt l?\nAnswer: 1901100*l**2*s**3 + 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -15 - 81. Let i = l - -55. Suppose -d + 3*x - i*x = -116, -5*x + 226 = 2*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 950 and 1727100.\nAnswer: 1727100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*v - 291*v = -a - 7, 15*a = 4*v - 105 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 26 = 16. Calculate the highest common divisor of 8 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 153. Let d(l) be the first derivative of 0*l**2 - 1\/3*l**3 - 4 + v*l. Let q(j) = -2*j. Calculate q(d(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321600 to the power of 1\/2, to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(33)\/sqrt(3) + -1)**2 + ((sqrt(539) + sqrt(539)*-1)*-4)**2.\nAnswer: 12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30524, 30539, 30556, 30575, 30596, 30619, 30644?\nAnswer: 30671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18442\/5 + 3688. Which is the smallest value? (a) 1 (b) m (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h + 4*y - 134, 502 = 4*h - y. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -17. Let z be ((-8)\/(-24))\/((-6)\/(-72)). Solve -r*h - z - 23 = -5*k, k = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5205612239 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - j - 2*j - 2*j + 20 as l*j + m and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, 3, 19, 35, 51, 67?\n\"Answer: 16*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Suppose -6 = -b*c + 8. Let v be -2 - (3 - 1 - 0). Let u(m) = -2*m**3 + 7. Let a(g) = -g**3 + 4. Determine c*a(l) + v*u(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 30 = 5. Let k(n) = n - 1. Let q(u) = -12*u + 4. Let d(o) = 5*k(o) + q(o). List the prime factors of d(p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 8*v**2 + 7*v + 5. Suppose -o + 5*o = 20, -4*f + 48 = 4*o. Give n(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*s + 3*k, -4*s - 3*k - 16 = 0. Let t(x) = -7*x + 5. Let n(d) = -3*d + 2. Let u(m) = -9*n(m) + 4*t(m). Let p be u(2). Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.112 + 9.812. Let b = v + -10. Let c = b + -1.7. Are 2\/9 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-530)\/16 - -4) + (-3)\/(-24). Let k = x + 32. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 435232896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211020000 (base 3) to base 16.\nAnswer: 3f48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, h: 1, x: 8}. Give prob of sequence nh.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177.16 + -181. Let m = -0.84 - p. Let u = 0.07 + -5.07. Sort m, u, 1\/4 in descending order.\nAnswer: m, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114773.\nAnswer: 114773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15928.96 micrometers to nanometers.\nAnswer: 15928960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-8)\/1056*6. What is the biggest value in -4, -3\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2075 - 11.7225. Let h = -12 - c. Let x = -168 - -168. Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4931723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/60 - y**5\/20 - 5*y**4\/24 - 2*y**3\/3 + 2*y**2. Suppose -2*a - 2*a = 12. Does 19 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211031?\nAnswer: 281, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123363210*l**3 + 79*l**2 - 271902.\nAnswer: 740179260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + t + 96, r + 4*r - 120 = -2*t. Suppose 0*g + 4*g = r. 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 second derivative of 269379*h**4 - 2*h**3 - 30*h**2 - h + 4441432 wrt h?\nAnswer: 3232548*h**2 - 12*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/48 - 0)\/1. Which is bigger: 0.4 or d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000011 (base 2) to base 7.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**6\/30 + s**5\/60 - s**4\/6 - s**3\/6 + 3*s**2 - 3. Let a(j) be the second derivative of n(j). Factor a(w).\nAnswer: (w - 1)*(w + 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(108) + sqrt(3))**2 + 3 + sqrt(3) + sqrt(18)\/sqrt(6) - 6*(2 + (5*sqrt(108))**2).\nAnswer: -16058 - 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4.9914 * 0.1\nAnswer: 0.49914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2055355 (base 7) to base 12.\nAnswer: -100271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + t - 27 = 0, 2*w - w = -3*t + 1. Let c = w + 12. What is the smallest common multiple of (-1)\/7 + (-381)\/(-21) and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d. Let j(c) = c**3 + 4*c**2 + 4*c - 2. Let s(i) = -j(i) + 5*k(i). Let q(m) = m + 1. Let x be q(-6). Let a = x - -5. Give s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 3. Let a(t) = -t**3 - 6*t**2 - 4*t - 1. Let m be a(z). Let p be (-64)\/12 - 2\/m. Sort 5, p, 2 in descending order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u - 9. Suppose -5*d + a + 176 = 0, 4*d + 5*a - 32 = 132. Suppose 6 = -d*i + 34*i. What is the units digit of c(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 - -52.89. Let n = t + -45. Let w = n - 7.7. Sort w, -4, -2\/5 in descending order.\nAnswer: w, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 2*m + 1. Let a(w) = w**3 + 3*w**2 + 3*w - 2. Let u be (1\/3)\/(3\/(-18)). Give u*a(x) - 3*h(x).\nAnswer: -2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 17, -2.\nAnswer: -2, 17, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 677*u**7\/210 - u**6\/60 + 20*u**5\/3 + 2185*u**2. What is the third derivative of o(x) wrt x?\nAnswer: 16248*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*o + 105, 0 = v + 5*o - 37 - 11. Suppose -2 = -b + 4*r - v, 5*b + 33 = 2*r. Let p = -10 + 6. Sort 1, p, b.\nAnswer: b, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from zgopoqqgpppqcqp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 5. Let b = 7 + l. Suppose b = 3*k - 1. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = 3*o - o, -5*o = -3*k + 32. Suppose -f = -5*d + k*f + 35, 0 = 3*f + 6. Suppose -820 = -5*v + d*a, 38 = v - 2*a - 127. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 104 = 2*o - 5*i, 0 = -2*i - 8. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*t*(t*(t**(1\/4)\/t)\/t)\/t*t**7*t**1)\/((t**5*t**(1\/9))\/((t**(2\/3)*t)\/t)**(1\/23)) assuming t is positive.\nAnswer: t**(8419\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -116. Sort j, -10, 1\/5, 3 in decreasing order.\nAnswer: j, 3, 1\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2818348769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110101 - -111010101100111111101?\nAnswer: 111010101100001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11600, -11615, -11630, -11645, -11660, -11675?\n\"Answer: -15*j - 11585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 832482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (848\/106)\/((-324)\/99).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1549759, -3099519, -4649279, -6199039, -7748799, -9298559?\nAnswer: -10848319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/5 + (-10)\/50. Suppose 5*y - b - 3 = 62, -v*b = -2*y + 44. Calculate the remainder when 227 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (7 - 13))\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(21*-8))\/((15\/9)\/5)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 262399.2l?\nAnswer: 262399200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(475) + (sqrt(475) - (1*(-1 + sqrt(475)) + sqrt(475) - sqrt(475)))))**2 + 2 + 1 + ((sqrt(76)*2)\/sqrt(4) - 3*sqrt(304)).\nAnswer: 350*sqrt(19) + 17139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37921.79 milligrams?\nAnswer: 37.92179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 161 (b) -0.412 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41, -64, -87, -110?\n\"Answer: -23*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, g: 1, j: 1, y: 1}. Give prob of picking 1 g and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 - 4*o**2 + 4*o**2 + (1 + 1 + 3)*((2*o**2 - 3 + 3)*(0*o - 3*o + 2*o) + o - 2*o**3 - o).\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -5 - (8 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6983347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337 + 599. List the prime factors of j + -37 + -1 + 1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2715 (base 8) in base 13?\nAnswer: -8a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/701778 and 4\/1097943.\nAnswer: 68072466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091376?\nAnswer: 2, 3, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6\/(-8)) + (-3)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/35 and 53\/33411.\nAnswer: 167055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28305, 1\/2, -41 in descending order.\nAnswer: 28305, 1\/2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 391416*m + 391420.\nAnswer: -4*(m - 97855)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.15 - 0.15. Let v = 3 - d. Let h = v + 12.000044. What is h rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 - 13*t + 5. Let f be w(-7). Let s be (0 + -1)\/1*f. Solve 0 = 2*d, 0*q + 2*q - 2 = s*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqzqqqqqq. What is prob of picking 4 q?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 + 50*p - 28. Let k be s(16). Solve v + 4 = -j + k*j, 3*v - 5*j = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 11*i + 7. Let f(b) = -b**2 + 10*b + 6. Let h(w) = -3*f(w) + 2*u(w). Let x be h(-5). Calculate the highest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -1827*l + 1824*l + 44, -74 = -4*l + h. Solve -l*d + 42*d = 120 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 - -1.9. What is the closest to w in 2\/3, 3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 610*k**3*l - 17*k**2*l - 6*l wrt k.\nAnswer: 3660*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) -1 (c) 0.3 (d) -4\/5 (e) 5 (f) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)*x)**(-37)\/(x\/(x**16*x)*x**12))**(-21) assuming x is positive.\nAnswer: x**(-861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82304626 is divided by 5144039.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = 63*c - 54*c. Sort c, -2, -1 in ascending order.\nAnswer: -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.84336 decades to millennia.\nAnswer: 0.3084336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80800.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(7\/4)*s*s**0\/s*s\/(s*s**4*s*s)*s\/(s\/s**7*s)*s)**(-40))**13 assuming s is positive.\nAnswer: s**(-2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 62 = 5*j, -j + 19 = -3*u - 7. Let l = j - 17. Is l less than or equal to -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxakkuqakqqugxk. What is prob of picking 1 x, 1 a, and 2 u?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:42 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.6. Let y = -6.6 + 6. Let d = y + 0.2. Which is the second smallest value? (a) d (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3787251.2551968 + 3789606.29. Let d = o + -2316.0348. Let m = -39 + d. What is m rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -3.38\nAnswer: 16.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 69*r + 25 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1659 - 1664. What is the third smallest value in 8.7, p, 3\/5?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 85.5. What is the second biggest value in b, 0.0014, -1, -0.3, 0.4?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 36 = p. Let l = -3 - p. What is the tens digit of 68\/l + 7\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dand. What is prob of picking 1 d and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1547)\/11817 - (-2)\/18. Do t and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1990 is divided by 200.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-32))\/(3*1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -12. Let h be (-2)\/n + (-9)\/(-42). Find b such that 0 + h*b**3 + 0*b + b**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1617, -1624, -1633, -1644, -1657?\nAnswer: -1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269 + 4406 - 1380 = -415*f - 2223 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 11*v**2 + 12*v - 11. Let d be x(12). Suppose 25*s - 32*s = -84. Let t = s + d. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 7*r + 6. Let c(s) = s**3 - s. Let j be c(2). Let o be p(j). Suppose 0 = k - 5*k - 4*n + 68, o = 5*k + n - 101. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 43, 106, 195?\n\"Answer: 13*v**2 - 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1f08b3 (base 16) to base 15\nAnswer: -2a2948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3919437 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-252))\/((-826)\/(-26019)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9198 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11179776 or -11179781?\nAnswer: -11179776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3370771245 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 636*p - 65505. Give t(103).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001318362963 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52254 (base 8) to base 14.\nAnswer: -7c84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v - 22*v - 11616 + 73612. What is the remainder when v is divided by 242?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7200\/2141 (b) 1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1184 and 2008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1294710 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmk when three letters picked without replacement from mmqkmkmmqqssmqs.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -4, 4, -3, 3.\nAnswer: -4, -3, -2\/13, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13829 + 13819. Let d(a) = a**2 + 1. Let m(h) = h**3 + 16*h**2 + 10*h + 2. Let p(f) = 5*d(f) - m(f). Determine p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**22)**36*(k\/((k**0\/k)\/k))**(3\/2)*k*k\/k**4*k*k**0\/k assuming k is positive.\nAnswer: k**(-523\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2304 and 2672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 47701.016?\nAnswer: -47701.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(2\/(16\/12)). Put 5, p, 2 in decreasing order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:41 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -1\/2 (c) 1\/7 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v + 3*y, -2*y - 15 = 5*v + 3*y. Let j = 1009\/19 - 7082\/133. Let l be 3\/(-7)*10\/15. Put j, l, v in decreasing order.\nAnswer: v, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 850, 1655, 2462, 3271, 4082?\nAnswer: 4895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 + 0*u**3 - u**4)*(3 - 3 + 2)*(0 + 2 + 1) as j*u**2 + i*u + w*u**4 + g*u**3 + p and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*2\/(-3 - 1). Suppose 40371*f - 40396*f - 50 = 0. Put n, 2, f in decreasing order.\nAnswer: n, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17d95 (base 14) in base 15?\nAnswer: -12d03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 6*x + 1. Let q be ((-48)\/60)\/((-4)\/(-30)). What is j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -131095, -524354, -1179787, -2097394, -3277175, -4719130, -6423259?\n\"Answer: -131087*p**2 + 2*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*t - 126*t**2 - 45*t to the form r + m*t**2 + u*t and give m.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101100 (base 2) in base 15?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-15))\/(-2)*-15. Let c(h) = 10*h - 6. Let s(x) = 9*x - 5. Let w(r) = q*s(r) - 5*c(r). Let i(f) = 3*f. What is w(i(t))?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, m: 2, v: 2, n: 1, q: 5, s: 2}. What is prob of sequence smqq?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**2\/2 + 65*p\/2 + 30 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4479 - 31408\/7. Let j = l + 58\/7. Let o be -2 + (-4 + 3)\/(-1). Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 42. Let r = -1178 + 1994. Let p = r + -816. Determine u(p).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - w - 2. Let a be (0 - 2\/(-4))*4. Let u be t(a). Suppose -5*p + 25 = 0, 2*p - 2 = -2*h + u*p. What is the remainder when 17 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(847)*2*4*5 - (sqrt(847)*-2 + -3 - (-5 + sqrt(847)*-2))) + 2.\nAnswer: 440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3896*n**3 - 4*n**2 - 9*n + 10. What is the hundreds digit of u(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - 146b?\nAnswer: -1483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8019 - -8018. Is 5\/184 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*o = 478*o + 689. Which is bigger: o or 3\/2455?\nAnswer: 3\/2455","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s. Let p(z) be the third derivative of 2*z - 2\/3*z**3 + 0 - 179*z**2 - 5\/24*z**4. Calculate p(o(m)).\nAnswer: 35*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -45. Let q(f) be the third derivative of f**5\/60 + f**4\/2 - 2*f**3\/3 - 3*f**2. What is the units digit of q(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214348157378 - -9.59\nAnswer: 214348157387.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (231\/(-1155))\/(1*(-3)\/120)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l. Suppose -2*d + 5*o = -3, 2*d - 13 = -0*d - 5*o. Suppose -d*z - 3 = 1. What is the units digit of n(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:28 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 141\/2. Let n = -714.8 + 784. Let v = -69 + n. Sort x, v, -4 in decreasing order.\nAnswer: x, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = -15*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*n + 17 + 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(170)\/(sqrt(15)\/sqrt(3)) - (sqrt(374)*-2)\/sqrt(11))\/(sqrt(36)\/sqrt(2) + (sqrt(32) - sqrt(288))).\nAnswer: 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57738 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 8*l**2 + 9*l + 1. Suppose 0 = -2*u - 2*a + 20, -u + 3*u - 21 = -3*a. Is c(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/180*-10*18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 382*w**2 - 927*w + 327894. Give y(193).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3807 = 4993. Suppose 0 = 23*a + s - 6409. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b. Let z(v) = -76*v. Calculate k(z(l)).\nAnswer: 228*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 109*m**2 + 10*m + 2. Let s be d(8). Let b = 84587\/12 - s. Let q = -40139\/12 - -3351. Find the common denominator of b and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52066, 258028, 601306, 1081906, 1699834, 2455096, 3347698, 4377646?\n\"Answer: h**3 + 68652*h**2 - h - 16586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 3) + 2 - ((-59 - -32) + 34).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 296437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 9 + 1. Let s(h) be the second derivative of h**5\/20 + 5*h**4\/12 - h**3\/6 + 5*h**2\/2 - h. Let x be s(b). Solve 0 = -5*t - 5 - x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 9. Let j be 201\/39 - 46\/299. Let i(z) = z + 10. Give j*i(t) - 6*q(t).\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.4359 rounded to 1 dp?\nAnswer: -37.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35167 - 895 = 38*r. Is -953 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1572998*o**2 - 737905*o?\nAnswer: 3145996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/13)\/((-432)\/(-5616)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016287 to six dps.\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1235 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1000 = 7*f - 9*f, -5*f = -3*u + 1015. Let p = 331 - u. Solve -2*v = 9 - p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = 5*d - 5, -d + 6 = 2*i. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -144, -134, -134, -150, -188, -254, -354, -494?\n\"Answer: -t**3 + t**2 + 14*t - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + 2 + -4 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v - 89*v**3 + 27*v**3 - 10*v + 39.\nAnswer: -62*v**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 13*h - 27. Let k be d(-15). Solve -3*m = 2*z + 14, 3*z - 2*m + k*m = -7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116583, 466357, 1049305, 1865421, 2914699, 4197133, 5712717?\nAnswer: 7461445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 - 2811311*k\/2 + 4216971.\nAnswer: -(k - 3)*(k + 2811314)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(85)*-1)\/(3*(sqrt(5) + sqrt(5) + sqrt(80)))*-5 + 3)**2.\nAnswer: 10*sqrt(17)\/3 + 1154\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 406442166 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017118 plus 102238?\nAnswer: 102237.982882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piippppippp. What is prob of sequence ipp?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6028*i - 6042*i + 12036*i - 442 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -64*o - 138. Let g(t) = -21*t - 46. Let y be ((-2)\/(-4))\/(4\/(-16)). Let i(p) = y*d(p) + 7*g(p). What is the derivative of i(b) wrt b?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/36)\/(1\/(-10)) - (14 - 11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2) - (-74)\/148.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 + 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0*q**4 + 0 + 3\/20*q**5 - 1\/3*q**3 + 2*q + 0*q**2. Find the second derivative of g(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -226, -1397, -4008, -8539, -15470?\nAnswer: -25281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8266266 and 235.\nAnswer: 41331330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1804 - -2022. List the prime factors of n.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/3 (c) -1 (d) -2728\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -763.6 (b) -3 (c) -2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6, -6*j = -3*j - 2*q - 30. Calculate the lowest common multiple of j and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -7. Let c(z) = -z**2 - 4*z + 79. Calculate the smallest common multiple of a and c(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.079 - -0.179. Sort 5, 4, -0.04, s.\nAnswer: -0.04, s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -378 * -5540\nAnswer: 2094120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4050 - 2341. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 11*d - 5. Let i be j(10). Let a = 10 - i. Let q = 134 - 129. Calculate the greatest common factor of q and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420748901?\nAnswer: 19, 22144679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367811\/22 + 16723. What is the common denominator of p and -113\/3630?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 3*x**2 - 3*x - 5. Let z be g(-3). Suppose -5*k + z*k - 2 = 0. Let r(w) = 12*w**2 + 3*w + 1. List the prime factors of r(k).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34555 + 47666?\nAnswer: 104443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12995 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 558380983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 3569260, -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1)*1004\/27108?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.39 - -1.71. Let g = v - 9.1. What is the third biggest value in -4, g, 1, -6\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49487.3 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 - 11 - 11*w**2 - w**3 - 3*w**2 + 7*w - 4*w**2. What is the units digit of d(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1173, -2302, -3421, -4524, -5605, -6658?\nAnswer: -7677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-7))\/(148\/(-1554))*(-108)\/54.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -302212303 (base 4) in base 2?\nAnswer: -110010100110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52228, 209216, 470866, 837178?\n\"Answer: 52331*x**2 - 5*x - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v = 3*j - 22, 4*v = 5*j + 25. Solve 2*c = v*l - 10, -2*c = -4*l - c + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2107, 2703, 3319, 3967, 4659, 5407?\n\"Answer: 2*l**3 - 2*l**2 + 588*l + 1519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -7*q**5\/10 - 3*q**4 - 8*q**3\/3 + 51*q + 2. Factor f(i).\nAnswer: -2*i*(i + 2)*(7*i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(17) + 1 + -1 + (2 + sqrt(17) + 1 - sqrt(17)) - (sqrt(17) + sqrt(17) + sqrt(17)*1)*-1*6).\nAnswer: 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 5)*(13\/2 + -4). Suppose -m = -i*a + 226, 6*m - m + a + 1026 = 0. Let b = m + -170. What is b rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*y = -30, -2*g - 5*y = -5*g + 2. Let r be 2\/g*(7 - -1). Let m be 80\/36 + r\/(-18). Solve 12 = -4*f - 4*x, -m*x - 3*x - 15 = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827590329 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(176) + -1 + sqrt(176) + 3)**2 - -5*5*(0 + sqrt(176) - sqrt(176))**2)*-6.\nAnswer: -4224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*c + 12*s - 52 = 164*c, -c - 2*s = -17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2482683 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 479565?\nAnswer: -479560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(7 + 102\/(-18))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 27*u**4\/4 + 41*u**3\/3 - 11. What is the third derivative of s(j) wrt j?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**8\/20160 + s**6\/144 - 4*s**5\/5 - 112*s**2. Let m(n) be the third derivative of b(n). Calculate m(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = c + 2*d - 4*d, -d = c - 40. Suppose 5*i - c = i. Let o = -8 + i. Let l(u) = 4*u**2. Determine l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20287, 40584, 60883, 81184, 101487?\n\"Answer: h**2 + 20294*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40976215 or -2?\nAnswer: -40976215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/3 (b) 0.1 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/14 + 2\/(-4). What is the closest to i in -1, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9908 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(2*m + m**5 - 2*m - 3*m**5 + 4*m**5 + 3*m**5 + (2*m - 2*m + m)*(2*m**4 + 0*m + 0*m) - 3*m**5 + 0*m**5 + 4*m**5).\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 0 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6343*z**3 + 19145*z**3 + 8056*z**3.\nAnswer: 33544*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*m - 2)*(m**2 + 2*m**2 - 2*m**2) - 57*m**3 - 3*m**3 + 12*m**3.\nAnswer: -44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2327291490 - 2327291504.39219707. Let b = g - -3.4921962. Let d = b + 10.9. Round d to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1188*b**2. Let r(y) = 3842*y. Give r(i(m)).\nAnswer: 4564296*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 + 91. Suppose 5*d = -3*m - 41 - a, 5*m + 1 = 2*d. Sort -5, 4, d.\nAnswer: d, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4043 - 4135 = -4*i. What is the lowest common multiple of 110 and i?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*m - 954 + 954)*(1 + 3 - 5)*(-m**3 + 0 + 0) to the form l + d*m**3 + g*m**2 + a*m**4 + b*m and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 106186376 and 0.1?\nAnswer: 106186375.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24\/28*(-2 - (-5)\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7023 + -7220. Which is bigger: -186 or k?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3585.449 + 159.96.\nAnswer: -3425.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 + -48. Let a = d - 59. Solve -2*f + a = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.4611 to one decimal place.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.051 - -0.031. Let o = p + 5.01999779. Round o to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrssssrqrsssqsrrsr. Give prob of sequence ssr.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -54. List the prime factors of f.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1417486 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -77*q + 77. Let v(y) = 5*y - 5. Calculate 6*n(b) + 91*v(b).\nAnswer: -7*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 2*w**2\/7 + 32*w\/7 + 40\/7.\nAnswer: -2*(w - 5)*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -993*w - 10 - 2 + 7 + 5.\nAnswer: -993*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 22 = -2. Suppose 9*a - 190 = s*a. Suppose -2*u + 50 = -5*z + 264, -z - 2*u + a = 0. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.084 and -9.4885.\nAnswer: -0.797034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 35. Let l = b - -29.48. What is l rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -17?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y = 285. Suppose 6364 = -25*m + 80*m + 4714. What is the remainder when y is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*j*j**3*j))*(j\/(j*j**(-11)))\/j*j*j)**(1\/3) assuming j is positive.\nAnswer: j**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2572.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 64035 = 3*m, 5*m + 3*x - x = 106711. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35124 divided by -2927.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332 is divided by 49?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 1602 - 859 + 6*q - 8*q as g + v*q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - ((-7 - -4) + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3533660558 - 3533660558 - 10*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8153388?\nAnswer: 2, 3, 226483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -43, -88, -173, -310, -511, -788, -1153?\n\"Answer: -2*c**3 - 2*c**2 + 3*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 2*j - 19. Calculate a(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 2860740806.603?\nAnswer: 2860740806.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -228567, -226998, -225429, -223860, -222291?\n\"Answer: 1569*a - 230136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1171050769 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 10*w + 66. Determine m(-13).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*n + 323 = -1. Solve z + 17 = 5*g, z + 0 = -2*g + n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*t**2 + 30*b**2*t - 3*b**2 + 1667*b*t**2 + 2*b - 2*t**2 wrt t?\nAnswer: -2*b**2 + 3334*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:02 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1048 or -1045?\nAnswer: -1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*d + 48, -2*j = -5*d - 0*j + 32. Suppose -d*p + 3*p + 80 = 0. Let o = 20 - p. Solve 2*x - 4*v + 9*v = -o, -8 = -4*x - 2*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 39 + 34 + -26\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135672*f = 135679*f + 105 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1.82, -0.5, -2\/11 in ascending order.\nAnswer: -0.5, -2\/11, 1.82, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 2:26 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*(3 - -29). Suppose -s = 5*f + 2 + 23, -4*f - w = 0. Calculate the smallest common multiple of s + (-1 - -4) + 21 and 5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) 0 (c) 0.4 (d) -821\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -112112210111 (base 3) in base 13?\nAnswer: -a044a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -121871*p**2. Let y(b) = -2*b. Give l(y(z)).\nAnswer: -487484*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 50?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -3323?\nAnswer: -3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279314 is divided by 1301?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -89, -277, -645, -1253, -2161, -3429, -5117?\n\"Answer: -10*l**3 + 2*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373940817 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00232271 rounded to six dps?\nAnswer: -0.002323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-4)**2 + -3 + (sqrt(325) + sqrt(325)*1)**2*-2.\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -10*m + 26, -401 = -3*g - 4*m - 399 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8182 is divided by 2567.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-4*sqrt(2736)*1 - (-5 + sqrt(2736) + 0)) + 1 + sqrt(2736) + sqrt(2736) + 1 + sqrt(2736) + -5)*1)**2.\nAnswer: -3456*sqrt(19) + 394128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*c - 0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b + 2*a + 1 = 0, -5*b - 53 = -2*a. Which is smaller: -8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 10) + -5 + (0 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s - 10*s)*(0*s**3 - s**3 + 3*s**3) + 2*s**2 - 2*s**2 + s**4.\nAnswer: -21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/(-2)*(-50)\/(-10) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) - 158\/8. Suppose 21*z = 584 + 25. Let q = n + z. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let m(d) = d + 8. Let y be m(-4). Suppose -k + l*k = y. Which is the biggest value? (a) -5 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**2 - 7*t - 4. Let z(b) = -3*b**2 - 4*b - 2. Let a(u) = -2*d(u) + 5*z(u). What is a(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/15)*b**(2\/9)*(b\/b**(-1\/4))\/b**(5\/4))\/(b**47\/(b**(1\/6)*b**(2\/7)*b)) assuming b is positive.\nAnswer: b**(-28639\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/955638 and -41\/969?\nAnswer: 18157122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((-7)\/399). Suppose 2*x + 51 = 5*l, -6*x = -4*l - 3*x + n. Is l <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2232000010 + 10?\nAnswer: 2232000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22573073 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33887742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122482 and 123986?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81424 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42646.\nAnswer: 2, 21323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.91 + 22. Let m = t - 0.04. Let s = 0.2766 + -0.1766. Is m not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + -21*2\/(-12). Solve -h - 3*m + 58 = 62, -3*h - u = m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 40*k**2 + 136*k - 128.\nAnswer: 2*(k - 16)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -993, -995, -997?\n\"Answer: -2*v - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 279*s = -267*s + 39, -2*w - 5*s - 14 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -355 + 357. Solve -15 + 5 = n*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-20))\/((-2)\/80). Suppose -2*b + 10 = 2*y - 6*b, 0 = -4*y + 2*b + p. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {w: 2, v: 4, n: 4, h: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j - j)*(-9 + 5 - 11 + (-4 + 2 + 3)*(0 - 5 + 3)).\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -2201?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*11*10\/2310?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*z - 1 + 7, -4*z = 3*q + 70. Let y = q + 110. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200112 - 200?\nAnswer: -1201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/9, 2031417\/14 in decreasing order.\nAnswer: 2031417\/14, 0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -328.506 - -0.506. Sort 2\/3, -2\/11, m.\nAnswer: m, -2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 333?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 3, 91 in decreasing order.\nAnswer: 91, 59, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*i - 23*i**2 - 168*i to the form h*i**2 + z*i + q and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2051 + 1968.9. Let w = 127 - 217. Let b = w - c. Round b to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8) - 1183\/2548\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-5)*1659\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*2\/((-8)\/(-5)). Let b(x) = -3*x + 29. Let k(p) = -4*p + 38. Let d(v) = 5*b(v) - 4*k(v). Calculate d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157 * 195\nAnswer: -30615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -101, -93, -89, -89, -93, -101?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/4*4\/(-15). Suppose 4 = -4*r + 3*g - 2, 2*r = -5*g + 10. Is d bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h = -492. Let o = 211 + h. What is the highest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 48*d**2 - 50*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.156 - -0.056. Let g = 2.029 - 0.029. Let y = -10.9 - -11. What is the third biggest value in g, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 226*x + 12. Let h(m) = -414*m - 22. Let z(p) = 11*a(p) + 6*h(p). Let d(o) = 5331*o. Determine z(d(b)).\nAnswer: 10662*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 104*f + 1019. What is d(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 681 + -665. Solve 10*q + g = 6*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b66 (base 12) to base 11.\nAnswer: -1281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*g**4 + 1333*g**3 + 51421*g**2?\nAnswer: -456*g + 7998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24788 - -28773. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.51806 and -4.51?\nAnswer: 1.99194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -244291 divided by 46?\nAnswer: -244291\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -43. Which is the closest to -5? (a) 10 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 equal to 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -164\/9 - -727\/72. Let t(a) = -a**2 - 5*a + 24. Let z be t(0). Find the common denominator of (8\/(-2))\/(58\/z) and d.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 - -177. Which is the second biggest value? (a) 1 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 324, 1187, 2644, 4695, 7340, 10579, 14412?\n\"Answer: 297*j**2 - 28*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4083*m**2*t**3 + 212254*m**2 - 6*t**4 wrt t?\nAnswer: 12249*m**2*t**2 - 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (17 - (-10 + (-47320)\/(-1280)))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in 2\/23, -4, 103.1, -2, 3\/2, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 504 - 525. What is the units digit of (-10)\/(-70) - 1887\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2060718 divided by 2\nAnswer: 1030359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*m**2 - 762*m**2 + 160*m**2 - 546*m**2 + 55*m**2.\nAnswer: -1324*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/48*6)\/(3\/2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1979, -2231, -2461, -2675, -2879, -3079?\nAnswer: -3281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1820, -1692, 14 in descending order.\nAnswer: 1820, 14, -1692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 58\/18 - 24\/108. Suppose 2*y = 5*a - 28, -n*y = -4*a - y + 24. Solve 0 = 3*w - a - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54011678+5.9\nAnswer: 54011683.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3839 = -1723385*o + 1723036*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, n: 1, q: 3, f: 2, x: 9}. Give prob of picking 2 f, 1 n, and 1 c.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -4, 0, 2 in descending order.\nAnswer: 2, 0, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8506.419 millilitres to litres.\nAnswer: 8.506419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.0661 - -0.79827. Round x to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - q + 40*q**2 - 62*q**2 to the form f*q + u + a*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/3 (c) -44 (d) -1 (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 11*x**2 + 8. Let n be r(11). Let v be (1 - 13\/1)\/((-9)\/12). What is the highest common factor of n and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96.8698 times -0.3\nAnswer: -29.06094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 23*u + 15. Let k be m(23). Which is the closest to 1\/9? (a) -0.5 (b) 1\/6 (c) k (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2 - 0. Suppose 5*f + 5*c - 40 = 0, 2*f + 14*c = 11*c + 20. Let -f*u + 3*u**i + 14 - 2*u - 8 - 3 = 0. What is u?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 3:09 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 + -241?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 28273*i + 28273*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 47*p**2 + 15*p - 43. What is q(6)?\nAnswer: 1739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h - 1 = 0. Let u be 2\/(-4)*(h - -1). Find the second derivative of -z - 14*z**4 + u*z + 11*z**4 wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-165))\/(354\/(-9086))*(-10)\/(-63).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 - 6*r**2 - 3*r**3 - r + 4*r**3 + 8*r**2 to the form v*r + m*r**3 + p*r**2 + f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 l, and 1 u when four letters picked without replacement from uululnuunn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10101001000101100 (base 2) to base 12\nAnswer: -42124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, p: 7}. What is prob of sequence hphp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-19))\/(b*b**(-17\/4))*(b\/b**(-6\/7))\/b**(3\/16) assuming b is positive.\nAnswer: b**(-1465\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t + 4*y + 11 = 0, -2*t + 22 = -4*y. Suppose 28 = 3*k - 4*v, -3*k - 2*v = -k. Calculate the least common multiple of k and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1417*s = 2950*s - 551*s - 87768 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, 2, 1\/3, -3 in ascending order.\nAnswer: -3, 1\/3, 7\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lca when three letters picked without replacement from acl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14920*b - 7713642. Determine j(-517).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + 5. Let m(c) = 6*c + 9. Give -3*m(k) + 5*u(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259.223 years to decades.\nAnswer: 25.9223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 1444676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -665 (c) 4 (d) -0.8 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 32. What is the greatest common divisor of n and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 4140?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 39 = -5*o, -x - x + 9 = o. Let a = 13 - x. Calculate the greatest common divisor of 42 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 3*d + 4. Let c be x(-5). Let w(b) = -4*b - 3. Let g be w(c). Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, d: 5}. Give prob of picking 2 g.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412 + 307*v + 2*v**3 + 54*v**2 - 804 + 29*v = 0 for v.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t**3 - 4*t**2 - 14*t + 64. Calculate i(3).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*c - 35, -5*p + 33*c - 35*c + 31 = 0. Factor -7\/6*h**2 + 8\/3*h + 1\/6*h**p - 2.\nAnswer: (h - 3)*(h - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 3*j**5\/10 + j**4\/4 - 48*j. Let p(f) = 7*f**3 + 4*f**2. Calculate -3*p(n) + 4*x(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -384833 + -3.\nAnswer: -384836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6736 is divided by 205?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = 3. Suppose -4*b + j = -9*b. What is the units digit of (-7)\/b + -1 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1. Let m(u) = -6*u + 6*u + 0*u + 7*u - 7*u**2 + 9. Let i(f) = -18*h(f) + 2*m(f). Let q(k) = -k**2 + 7*k + 6*k**2 - 5*k - 7*k. Give -3*i(n) - 8*q(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1\/3 (c) 2\/3 (d) 1.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + 204\/(-20) + 3\/(-6) and 5\/((-7)\/((-14)\/(-12))).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 796*j**3 - 730 + 1170 - 653 + 3*j**2 wrt j.\nAnswer: 2388*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*v - 5 = 7*v, 0 = -4*h - 5*v - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*a + 9 = -0*a, 3*n + a = 28. Let v be (-49)\/294 - (-50)\/12. Suppose v*x - 4*s = 40, 4*s = -2*x - 3 + 11. Solve x = -7*j + n*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233492 - 1117020 = 17586*d - 14668 + 643536 for d.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -24*z. Let c be q(2). Let w = c - -91. Let s = -585 - -710. What is the remainder when s is divided by w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 8\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/90 and 103\/5840?\nAnswer: 52560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 852 and 2994?\nAnswer: 425148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -5885.2?\nAnswer: 105933.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - n**2 - n + 2. Suppose 5*w + 28 = -4*o - 0*w, 0 = 2*w + 8. Does 8 divide j(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8)*1)\/(((-572)\/(-8))\/13).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2751 and -0.2.\nAnswer: 550.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1810694, -1810693, -1810692, -1810691?\n\"Answer: j - 1810695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + -4 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1027954, -1027971, -1027988?\n\"Answer: -17*h - 1027937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 818*i + 291*i - 352*i to the form o*i + t and give o.\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 596 = 64. Let p = -1 - -2. Let o = b - p. What is the remainder when 71 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2631 + 4170. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from ccxjjjcjjjcjj.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.6, 2, 5, -0.5, -2, -5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -2) + 1 - ((-278 - -288) + (23 - 1)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -16, 2306 in increasing order.\nAnswer: -16, 8, 2306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -103, -199, -359, -583?\n\"Answer: -32*r**2 - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1281 and 14745?\nAnswer: 6296115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 212. Suppose 7*m = 2*m - 6*m. Let x be s(m). Suppose -3*k + 114 = 5*w - 2, -5*k = -w - x. Is 42 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(567)*1)\/(-4*sqrt(27)\/sqrt(3) + 5*sqrt(36)\/sqrt(4)) + -4.\nAnswer: -4 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.09999759 + -48.1. What is w rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197.494 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1226? (a) 69 (b) 2 (c) -2\/995\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -1\/16*a**4 + 1\/8*a**2 + 1\/6*a**3 - 1\/2*a + 8. Suppose k(t) = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - 131. Let r = 121 + f. Let y = 43 + r. List the prime factors of y.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5))**(20\/7))**22\/((l\/(l\/l**(-2\/3)))**(-2\/105)\/((l*((l**(-1\/4)*l)\/l)\/l*l)\/(l*l**3))) assuming l is positive.\nAnswer: l**(-5113\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000093475676 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1706 - -1705.963. What is the third smallest value in 0.3, j, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*m + 261074, 272549 = 2*t - m + 11475. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 66 - 0. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10023 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53898.53843 rounded to 0 dps?\nAnswer: 53899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30085757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 47, 0.2, 1, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + -18.64. What is t rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3\/5*f**5 - 6\/5*f**2 + 6\/5*f**4 + 0 - 3\/5*f + 0*f**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)\/sqrt(4)*-3 - sqrt(44)) + sqrt(44))\/(-2*sqrt(256) + sqrt(4)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/9 + 21968*x\/3 - 438560 = 0. Calculate x.\nAnswer: 60, 32892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 - 6*n - 1. Let j be d(8). What is the second derivative of -15 + 8*t + j - 9*t**2 wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 21633476?\nAnswer: -21633471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -45, -84, -129, -174, -213?\n\"Answer: h**3 - 12*h**2 + 2*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Let w(d) = -6 - 5*d**2 + 2 - 33*d**3 + 34*d**b + 8*d. What is the units digit of w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -17 - (5 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.999 + 0.001. Let x = -129.8 - -151. Let m = x - i. Which is the third biggest value? (a) -3 (b) m (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 557136 divided by 23214\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 385 = 0. Suppose -2*v + 197 = s. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by -31\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*k**3)*(-3 + 3 - k) - 25*k**2 + 25*k**2 - 4*k**4 - 39*k**4 - 449*k + 449*k.\nAnswer: -46*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, 5, -1, -2 in decreasing order.\nAnswer: 5, -1, -2, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1286 - -1066. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/35 - (16\/10)\/(-4). Which is greater: 1\/210 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -482.99 - -481. Let r = j + -0.01. Let k = 35\/16 - 213\/112. Which is bigger: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 12. Suppose -3*b - 6 = 3*z + 6, -3*b + 2*z = n. Let j be 108\/((-2)\/b*1). Calculate the greatest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Suppose r = 3*d - 3. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*z - 14*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y - 7. Let w(z) = -17*z + 13. Let c be w(1). Let b(f) = f + 1. Let l(a) = 6*a + 6. Let x(u) = -12*b(u) + l(u). Determine c*t(m) + 5*x(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-18))\/(1\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33973 * -1.14.\nAnswer: 0.3872922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*i - 3. Let c = -38 + 56. Let k = c - 14. Solve -a - 2*h + 13 = i*h, -k = -a - h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -48. Let t = h - 9. Let m = 21 - t. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.01 and 3.4.\nAnswer: -34.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/73 in 1\/291, -20\/427, 3, 2\/9?\nAnswer: -20\/427","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-24)\/(-9)*-6. Let v(i) = i**3 - 17*i**2 + 14*i + 35. Let n be v(q). What is the first derivative of 15*z**n + 14 - 17 - 31*z**3 wrt z?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -55\/4 (b) 35 (c) 1107\/8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)*2*2. Let h be -2 + (-1 - 0) - -3. Solve h = -2*x - m*n + 10, -n = -x - 2*n + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 643 - 645. Sort 12, -29, n.\nAnswer: -29, n, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*f**4 + 1 + (-9*f**3 + 3*f**3 - 11*f**3)*(2*f - 3*f - f).\nAnswer: 31*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 1\/5 (c) 0 (d) 4 (e) 18\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -119874?\nAnswer: -3\/19979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5 - 7055*b + 2 + 21*b**2 + b**3 + 7041*b. Is u(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 474.45 + -478.4446. What is t rounded to one decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 38c?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 2946 = 2956 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2\/337 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 18*f + 66. Let c be u(4). Solve -7 = -3*v + 4*x + c, 0 = -v - 5*x - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4421 + 3096. What is the second smallest value in -2, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*x - 4, 1 = 5*q - x + 2. Suppose q = 3*u - 3*d - 90, 78 = 4*u + d - 62. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/5)*r\/(r\/(r*r**(-27))))\/(r**(-9)*r*(r\/(r*(((r*r**(-15\/2))\/r*r*r*r)\/r)\/r))\/r))**(-4\/5) assuming r is positive.\nAnswer: r**(482\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.0191, -2697, -4.\nAnswer: -2697, -8, -4, 0.0191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (5 - 5) + (-6)\/(-26). Which is the second smallest value? (a) -2 (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 2*y**2 - 6*y**2 + 3*y**2 + 3 - 867*y**3 - 4.\nAnswer: -867*y**3 - y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2 - 2*n. Let p(o) = -17*o**2 + 6*o - 1. Determine -7*h(b) - 2*p(b).\nAnswer: -8*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-181)\/724)\/(-5*51\/(-120)*1*2)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m**2. Suppose 17*c = -2427 + 2393. Calculate j(c).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 687528 and 324.\nAnswer: 687528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316120143?\nAnswer: 3, 53, 1988177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 889872.1l?\nAnswer: 889872100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w + 5*k + 54, 81 = 7*w - 2*k. Solve 4*d = 2*d + l + 2, 3*d + w = 5*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n + 87. Let u(a) = -7*a - 29. Determine 8*u(z) + 3*v(z).\nAnswer: 10*z + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = -198 + 24 - 123 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Suppose 25 = 2*q - 7. Suppose a*r - 28 = q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 23*f. Let q(m) = m**2 - 110*m - 9. Calculate q(x(v)).\nAnswer: 529*v**2 - 2530*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 23*o**5\/12 - 13*o**3 + 52*o**2. What is the derivative of m(q) wrt q?\nAnswer: 230*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x - 81 = 127 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24554525213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 1 (b) -4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 3, x: 4}. Give prob of picking 1 x and 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536*a + 106*a + 10750 = 0. Solve 2*r - 7*r = a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145.8 - 144.8. Let d = -4.5 + -0.5. What is the smallest value in -0.23, y, -2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**4\/u)\/u)\/u**(3\/4))**(-10\/11))**(1\/47) assuming u is positive.\nAnswer: u**(-25\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19045 or 19046?\nAnswer: 19046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417969611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 255 - 250. Suppose -4*z + 18 = 2*w, 2*z - s*w - 2 = -23. Solve -3*p = z*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2213.037 rounded to the nearest ten?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - ((-4128 - 3) + (-2)\/(8\/(-20))) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/3)*u**(-3\/5)*u)\/((u\/(u**(-3)*u*u*u))\/(u**(-4)\/u)) assuming u is positive.\nAnswer: u**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 11*s**4\/4 - 5*s**3\/6 + 1127*s. Let y(c) = -50*c**2 + 7*c. Calculate 7*x(k) + 5*y(k).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - o - 4. Let x be m(0). Let p(a) = a**2 + 9*a - 1. Let t be p(x). Is (t\/9)\/((-1)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37206.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3 - (-210)\/90?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhw when three letters picked without replacement from whh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -73. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9109*n - 9106*n - 33 = 0. What is the greatest common factor of n and 3091?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 182*x**2\/3 - 1324*x\/3 - 5712.\nAnswer: 2*(x - 14)*(91*x + 612)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19067.7 - -19133.20666. Let t = 65.5 - r. What is t rounded to 4 dps?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 2*m - 5. Let y be h(5). Let f(l) = -l + 13. Let p be f(y). Let j be 24 - (-1)\/(3 - 2). Solve p*s - 2*q = -10 - 3, -4*s - j = 5*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/11 (c) -2 (d) -0.102 (e) 10 (f) 0.1 (g) -353\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t - 374 + 374)*(2 - 2 + 3*t**2)*(2*t**2 - 4*t**2 + 0*t**2).\nAnswer: 72*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.2. Let m = -1234.6 + 1234.8. What is the closest to 0 in -4, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5629 is divided by 1891.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203 + 1419\/7. Suppose 4*j = -2*v - 10, 0 = 2*j - 3*v + v + 8. What is the second smallest value in w, j, 2, 0.05?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**0)\/((g**(-10\/3)*g*g)\/g*g))\/(g**(-10\/9)\/(g\/(g*g*g\/g**(-12)*g))) assuming g is positive.\nAnswer: g**(-95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(475) + sqrt(475) + -1))**2.\nAnswer: -500*sqrt(19) + 47525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + -6. Let r = m + 77. Which is the second biggest value? (a) -0.05 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 12000 = -10*i. Round i to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 2. Let v be f(-6). Let z be 4\/((-12)\/9) - 9. Let a = z + v. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/341 equal to -1\/661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/3)\/l*l*l)\/(l*l**(2\/13)*l))\/(l\/l**(-6)*l**4))\/((l**(2\/7))**(4\/23)*(l*l**(-1)\/l)\/l**(2\/11)) assuming l is positive.\nAnswer: l**(-738236\/69069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 2*g**2 + 113*g - 357. Determine z(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6342485 kilometers?\nAnswer: 634.2485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 10 = 0, -2*b + 22 = -3237*w + 3242*w for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -15. Suppose 5*a = -4*t + 127, -3*a = -5*t + 2*t - 60. Calculate the remainder when a is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1715, 1709, 1693, 1661, 1607, 1525, 1409?\n\"Answer: -s**3 + s**2 - 2*s + 1717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1196 = -17*d. What is the units digit of d\/(-69) + (-670)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, -4, 0.2, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6 (b) 10 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*p = 72, 8 + 37 = 5*k - 5*p. Let s be (-3)\/((-45)\/k)*5. What is the biggest value in s, -2\/11, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**4\/4 - 2*k**3 + 9*k**2\/2 + 7*k + 8. Suppose 3*n - 18 = w + 4, -n + 2*w + 9 = 0. Is x(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2013101073 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.891 times 0.2\nAnswer: 0.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9813053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23309.998198 - 23310. Round v to 5 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16600543 times -2?\nAnswer: -33201086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.18, 1\/2, 18374, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*u**4 - 3\/2 - 3*u**3 + 3\/2*u**5 + 3*u**2 + 3\/2*u.\nAnswer: 3*(u - 1)**3*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 667.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2 + 2 + 6*z + z**2. Let p be (40 - 38)\/((-2)\/7). What is b(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = -8*l - 111. Let j be 0\/((-3)\/(9\/(-6))). Suppose j*n - n - 14 = 3*a, 5*a + 24 = -n. Put l, n, 2 in decreasing order.\nAnswer: 2, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/44 and 129\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2938 - -6.2938. What is the third smallest value in y, -0.1, 1\/5, 5.5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3705 and 84061510?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 31 = 5*s, 3*r - 2*s = -0*r - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -3. Let v be t\/(-3) - -7*1. Solve -v*f - 28 = -4*n, 0*n = n + f + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51965732.7 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/8)\/3*(-269)\/(-6994).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/12 - 111\/(-6). Calculate the greatest common divisor of z and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93291.79 litres in millilitres?\nAnswer: 93291790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 6393?\nAnswer: 6393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3942354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7404588 millimeters in kilometers?\nAnswer: 0.0000007404588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16967\/5 - 1)*-5. Let v = -103962 - m. Round v to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -991.093 - -992. What is o rounded to 2 decimal places?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 - 2*w + 5. Let y be k(3). Which is greater: 25 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(2))**2*1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4531677 + 2*v**3 + 4531677 - 10*v.\nAnswer: 2*v**3 - 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -65.54254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 44, 5.\nAnswer: 2, 4, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 461, -0.1, -0.02, 49, 1\/4?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*(x\/(x\/x**(-3\/7)))\/x))\/x)**(-18) assuming x is positive.\nAnswer: x**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*z + 13050, 2*z - 5996 = -2*h + 532. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/12 + s**3 - 3*s**2 + 2*s. Suppose 0 = 2*j - 3*j + 5*b + 21, j + b = 3. Give f(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66314 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5\/16, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + l - l)*(-4*l**3 + l**3 + 2*l**3) + l**4 + 4*l**4 - l**4 - 66*l**4 - 29 - 26 + 55 to s*l + p*l**4 + r*l**3 + o*l**2 + d and give p.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1036 + 1106.1. Round y to the nearest integer.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318257 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 5, u: 3, x: 1, r: 1, c: 1}. Give prob of sequence cusx.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 965 + 459 = -457 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 607 = 2*b, -2*a + 3*b = -a - 604. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.4 - -2.4. Let z = 20 + j. Which is the second biggest value? (a) 0.02 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 9 + (9 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1713946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide (441\/189)\/((-1)\/3) - -1492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-6))\/2)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (499 - 499 + 25*j)*(j**2 + 5*j**2 - 3*j**2).\nAnswer: 75*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 30*u. Let t(m) be the third derivative of m**5\/20 - 3*m**2 - 5*m. Give t(h(a)).\nAnswer: 2700*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + 2 + -1 + (6 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1631709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-33)\/(-165))\/((-7)\/525).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -145357, -145358, -145359, -145360, -145361?\n\"Answer: -i - 145356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.08, -5\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 388173598 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 1665 + 10. Let t = 562 + k. Suppose 0 = -b - 2*b + t. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -571334 (base 9) to base 13\nAnswer: -bc992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 109*i**8\/336 + 59*i**5\/30 - 68*i**2. What is the third derivative of m(l) wrt l?\nAnswer: 6540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -1\/2 (c) 2\/13 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {a: 6, h: 3, s: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**2 - 8*v**3 - 1 + 0*v**3 - 208*v + 4*v**3 - 4*v**3 + 6*v**3 in the form s*v + a + h*v**3 + z*v**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601146311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 57 = -4*a. Let j = a + -27. Suppose -l + j = 2*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 12*h - k - 6 = 0, 5*h = 2*k + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - (-28 + (47 - -28))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2729*u - 21729. Determine s(8).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 229669834 divided by 2?\nAnswer: 114834917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by 3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 1.2. Let x = 4.9 - t. Let p = -11 + x. Which is the third biggest value? (a) p (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and 844.731.\nAnswer: 1773.9351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 8*a**2 + 14*a - 12. Suppose 5*k - 36 = k. Is 9 a factor of s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(567))**2 + 2*sqrt(567)*1)*-4 + -1.\nAnswer: -9069 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14550 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -600 times -0.2\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iik when three letters picked without replacement from {e: 2, v: 3, k: 2, i: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -0.64. Let p = o - 0.2. Suppose 2*l - 9 = s, -3*l + 2*s + 20 = 2*l. Which is the nearest to l? (a) p (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 + 210. Solve -g + 3 = m*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 30. Let k be o(11). Suppose 4*h + k*h - 4424 = 0. Suppose -3*b = -3*f + 1251, 4*b + 198 + h = 2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -p + 9, 2*r = -4*p - 6 + 18. What is the tens digit of (-918)\/r*(-2 + -4) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5405 = 88*w + 32*w for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 15*d + 34. Let l be a(-17). Let s(n) = -11*n - 2. Let c be s(l). Let x = 0 + -0.4. What is the closest to c in -4, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 149765771.\nAnswer: 2\/149765771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - p + 101 = -2*p, -4*j + 2*p = -138. Let t = 32 - j. Suppose 5*h - 60 - 60 = t. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -431 - -1066. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let p(i) = -5*i**2 + 5*i**2 + 3*i + i + 2*i**2. Give -p(l) - 3*y(l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16322108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + r. Let d be (-1 + r)\/(23 - 22). Let n be (d + (-4)\/(-8))\/1. Which is the biggest value? (a) 0.2 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/((-459)\/34)*(-2)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) 9.4 (c) 1\/4 (d) 893\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -335a9305?\nAnswer: -335a9318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.6467+-2.5755679\nAnswer: -4.2222679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -273899*h**3 - 4*h + h + 4 + 273902*h**3 - 2*h**4 in the form y*h**2 + q*h**4 + g*h**3 + p*h + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2 = m. Suppose 226*u = 568 + 562. Let x be 375\/10*(-4)\/(-3). Solve -3*b - x = m*b + 5*w, 0 = 5*b - u*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 56073?\nAnswer: 56071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 4*t - 11, 2*u + 2*t - 8 = -0*t. Suppose 3*g + 4*g - u*g = 0. Suppose 5*k = 4*w - 2, w + 2*w + k + 8 = g. Sort 2, 1, w in decreasing order.\nAnswer: 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x = -3*x - 108 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 7*x - 5. Let q be i(5). Let j(v) = 9*v**2 + 4*v - 1. Let w be j(-1). Let o be -11*(-5 + w + 0). What is the highest common divisor of o and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**3\/6 + x**2\/2 - 2*x. Let u be l(-2). Suppose -u*o - 5*p = 14, -o = -p - 0 - 6. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.644 + 0.421. Let d = r + -0.065. Which is smaller: 33 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86\/5 + 17. Let j = 3 - 3.05. Which is the nearest to 0? (a) 5 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -3, 76614.7, 1, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3625766 divided by -157642?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**3\/3 - 4*j**2 + 4*j + 119. What is r(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708095893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -35. Let l = h - 5. Let z = 1.8979 - -0.1021. Which is the closest to 2\/3? (a) l (b) z (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 5*s**4\/6 + 26*s**3\/3 + 4*s**2. Let b(l) = -3*l - 8. Let j(n) = -32*b(n) - 5*g(n). Differentiate j(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50850.904826 + -0.2.\nAnswer: 50850.704826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -44. Sort -0.07, k, 0.4.\nAnswer: -0.07, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.912 + -0.088. Let g = -67 + 67. Let j = -9\/10 - -7\/5. Which is the nearest to j? (a) g (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(200)*-1 - sqrt(224)\/sqrt(7) - (sqrt(96)\/(sqrt(64)\/sqrt(8)))\/sqrt(6))**2.\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-44)\/6))\/(3\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -411*c**2 - 5*c + 5526. Let b(h) = 211*h**2 + 2*h - 2763. Let v(i) = 5*b(i) + 2*x(i). What is the derivative of v(z) wrt z?\nAnswer: 466*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 24. Give p(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i + 35 = l, -71*i - 4*l = -37*i - 29*i + 54 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5341 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -50*y + 49*y + 8, 0 = 5*y - 4*t - 40 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -11 - 0. Let w = v + 21. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1789650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587648.\nAnswer: 2, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 19. Suppose -s + 20 = p*s. Suppose -5*h - w + 41 + 49 = 0, 0 = -s*w. Is 17 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 0.501\nAnswer: -0.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -15. Let l be (2\/(-20))\/(d\/28). Let x(q) = q**3 - 15*q**2 + 12*q + 25. Let f be x(14). Put l, 0.4, 1\/2, f in ascending order.\nAnswer: f, l, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/50 - 105\/(8 + -5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {p: 3, r: 12}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 242701718 to the power of 1\/2, to the nearest integer?\nAnswer: 15579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144.126 + -144. Let c = -13916.87282 - -13917. Let k = c - h. Round k to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23596 times 0.13?\nAnswer: 3067.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*t**2 + 101*t**2 - 235*t**2 - 357*t**2.\nAnswer: -642*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 18*r + 22*r - 7, 0 = -2*y + 7*r + 24. What is the closest to y in 87, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 18*h - 24 = -4*i, 4*i - h - 18 = 0. Put i, -36, 13 in descending order.\nAnswer: 13, i, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 6*b + 1. Let w be g(6). Let t(z) = 1 - w - 2*z. Let v(d) be the third derivative of 5*d**4\/12 - 11*d**2 + 22*d. Give v(t(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 2 + 4*s + 0*s**2 + s. Suppose -4*i = 0, -i + 2*i = -5*h + 25. What is a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532434*h**2 + 532399*h**2 + 83*h - 258*h + 83*h + 92*h.\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142 divided by -1?\nAnswer: -3142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 k, and 1 x when three letters picked without replacement from {f: 1, k: 2, x: 2, s: 2, i: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*w + 4*c + 33, 3*w + 37*c - 38*c - 16 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9212 is divided by 2300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 81*t + 601. Determine b(45).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 13 + 732*m - 50 as v + x*m and give x.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/18 + (-100)\/(-3). Is a > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(500) + sqrt(500) + sqrt(500)*2))\/(sqrt(60)\/(sqrt(6)*-1)))\/((sqrt(360)*-3)\/(sqrt(64)*5)).\nAnswer: 160*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 469 and 959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 821355778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-8 + 5) + 1. Solve -t = -4*w + w + 4*k, k = -4*w + 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79186434049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 0. Suppose 160 = 3*a + a. Let q be (-6)\/(-33) - a\/(-22). Solve q + 14 = -u*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 53. Let x = r + 0.3. Which is the nearest to 0? (a) 5 (b) 7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. What is the first derivative of 2*l**3 + 1 - c*l**3 + 4*l**3 - 6*l**3 wrt l?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*6\/108*80.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 5:35 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 21 = -5*u, u - x = -3*u. Let s be (-6 + 5)*(u - 4). Solve 4 = s*q + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r**2 + 3\/8*r**4 + 3\/20*r**5 + 1\/4*r**3 - 5 + 0*r. Factor v(i).\nAnswer: 3*i**2*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -142132393 and -0.3.\nAnswer: -142132393.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 1, k: 1, m: 1}. What is prob of sequence wiw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*f - 61*f + 483 = 32*f + 8421 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451344491?\nAnswer: 3, 161260499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14169377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*f - 7739 + 7759 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1806*f**5 + 28072*f**4 + 97593856*f**2 wrt f.\nAnswer: -108360*f**2 + 673728*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*h**3 + 82*h**3 + 25*h**3 + (0*h**2 + 2*h**2 - 3*h**2)*(-h + 0 + 0) as q + p*h**2 + i*h + n*h**3 and give n.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2944432 is divided by 176.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-90) - 193\/(-10). Calculate the highest common divisor of 703 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*v - 131*v + 0 + 1 - 1 + 79*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f. Let o(a) be the first derivative of -5*a**2\/2 - 5. What is c(o(q))?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(66) + (sqrt(66) - ((sqrt(66)*3 + sqrt(66))*6 - sqrt(66))) - sqrt(66))*2)\/(-4*((sqrt(72)*5 - sqrt(72))*4)\/sqrt(12)).\nAnswer: 33*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 237?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -836 by 76.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -948, -1006, -1138, -1386, -1792, -2398?\n\"Answer: -7*i**3 + 5*i**2 - 24*i - 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2. Let g(l) be the first derivative of l**2 - 1. Let a(v) = v. Let h = -50 + 52. Let b(r) = h*a(r) - 2*g(r). What is p(b(x))?\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 2*r**2 + 2*r**2 + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/805585 + -6953004273\/18528455. Let o = 375 + v. Let x = o - -53\/115. Which is the second biggest value? (a) 0.5 (b) 3 (c) -5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-56)*14)\/((-2)\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 7. Suppose 2*d = -y + 77, -5*d + k*y = 4*y - 203. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 8*z**3 - 5*z**3 + (0*z - z + 2*z)*(-3*z + 3*z - z**2) + 29*z**3 - 5*z**3 - 5*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-4)*y)*y)\/y**15)**(-33) assuming y is positive.\nAnswer: y**330","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 203*s**2 - 4*s - 2. Let y(c) = 2*c**3 - 407*c**2 - 10*c - 5. Calculate -5*u(n) + 2*y(n).\nAnswer: -n**3 + 201*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3852 equal to -2672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 31*d + 98. What is the lowest common multiple of q(-2) and 264?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9824 to two dps.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**5 - o**3 + o**2 + 1. Let y(k) = 6*k**5 - 8*k**4 + 10*k**3 + 4*k**2 - 8*k - 4. Let h(d) = 4*i(d) + y(d). Factor h(n).\nAnswer: 2*n*(n - 2)**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -7334*v**6\/3 - 31*v**3\/3 - 162*v - 15363. Find the third derivative of q(n) wrt n.\nAnswer: -880080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**25\/z*z**(14\/11))**(-25))**(2\/3) assuming z is positive.\nAnswer: z**(-13900\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2525.95743 + -0.34257. Let l = c + 2326. Round l to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20848 less than 41.76199?\nAnswer: 20889.76199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 14. Let x be t(9). Let k = x - 19. Suppose -1023 = k*a - 7*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1208*n + 24*n - 25486 = 13586 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8.6, 5, -499\/5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6723 - -9584. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 2*c + 3397 - 3395, 3*k - 3*c = -3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxdxxxxxxxx. What is prob of sequence dx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/21)\/(2\/9). Suppose -4*c = f - 25, -f - p*f + 15 = -c. Suppose -3*w - f*q + 154 = 0, 4 + 2 = 3*q. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 3*v + 3*v)*(-2 + 7 - 2) + 19*v - 6*v - 2*v + (2 + 0 - 4)*(-6*v + v + 3*v) in the form y*v + l and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, y: 11, w: 4}. Give prob of picking 2 w and 2 y.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/33 + -71\/165. Put 0, t, -2\/9 in decreasing order.\nAnswer: 0, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-767)\/26)\/(1\/(-2)). Let u = -19 + k. Find the third derivative of -56 + u + 4*h**2 - 14*h**6 - h**2 wrt h.\nAnswer: -1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-3)\/(-6)*(-16)\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggxgxggg. What is prob of sequence xxg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/6 - 13*y**4\/6 - y**3\/6 + 13*y**2\/6 = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 2*x + 8*x + 6*x)*(-210 + 1127 - 531).\nAnswer: 6176*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 806511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 7*d + 24. Let o(i) = i**2 - 2. Give o(j) + v(j).\nAnswer: -2*j**2 + 7*j + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -1744*z + 1739*z + 78, -46 = -2*n - 3*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -216?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11278 - 157991\/14. Let g = -5\/1637732 - -70115930\/173190159. Let j = g - 3\/188. What is the common denominator of j and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:41 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a - 5995. Let g = -9517\/8 - a. Find the common denominator of g and (1\/(-2))\/(110\/(-5)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.03943 and -224 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - -16) + (0 - (-2 - -7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = 0. Let g = -171892 + 171893.4. Which is the closest to g? (a) -1\/4 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -157a7c + -42?\nAnswer: -157ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8628 by -182.\nAnswer: -4314\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) 0.364 (c) -2\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -147, -179, -209, -237, -263, -287?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60919724 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*d = 0, 3 + 0 = o - d. What is the tens digit of (-55 - (o + -2))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.0348, 1, -0.438 in decreasing order.\nAnswer: 1, 0, -0.0348, -0.438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 546580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 5:53 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1 + -1) + (9 - -68). Let m = -265 + 144. Let z = m + r. What is the common denominator of z and 49\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5.6, 1906, 5, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236387 is divided by 15759.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000112901 rounded to 6 decimal places?\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -36*k + 4576. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (3 + -13) - 14 - -28?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (sqrt(171) - sqrt(171)*-1)*1)*-1 + (-2*sqrt(171)*-6 - sqrt(171)) + -3)**2 + 3*-2*sqrt(171)*2*-4 + -3.\nAnswer: 10950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4032) + -1)*2*6)**2.\nAnswer: -6912*sqrt(7) + 580752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -5*p**8\/168 + p**5\/10 + 9*p**2\/2 + 6. Let c(h) be the second derivative of b(h). Find the third derivative of c(w) wrt w.\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -33. Let n = x - -45. Solve n = 5*i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-2 + 2 + 4*p) + (p - 3*p + 0*p)*(3 + 3 - 4) + 2 - 2 - 2*p + 0*p - p - p - 4 + 4 + p - p + 3 - 3 + 4*p - p - p - 1944*p - 1736*p + 3831*p.\nAnswer: 153*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 12*d**2 - 13*d - 84. Let t be s(-4). Which is smaller: t or 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d - 3. Let s(h) = 5*h + 4. Give 6*k(b) + 5*s(b).\nAnswer: 7*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91.8 - -16.2. Let s = -64 + v. Let r = s + -44.0000047. Round r to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/13606710 and -121\/587340?\nAnswer: 81640260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**3 - 5*f - 11*f**3 + 5*f**2 + 0*f**3 + 5 + 23*f**3. Let o(i) = -32*i**3 - 8*i**2 + 8*i - 8. Determine 8*d(m) + 5*o(m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4262 is divided by 261?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 966473507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*w - 7, -3*a + 8*a + 5*w + 15 = 0. Let k be 12\/3 + a - 1368. What is the tens digit of k\/(-52) - 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*m = 0, -13*s + 11*s - 8 = 4*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v. Let w(q) = -18*q. Determine t(w(z)).\nAnswer: 126*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*1*(sqrt(396) - ((sqrt(396) - (sqrt(396) + -1*sqrt(396) + sqrt(396))) + sqrt(396))*-3) - (6*(-1 + -2 + sqrt(396)) + 0)))**2.\nAnswer: 3888*sqrt(11) + 128628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872038?\nAnswer: 2, 47, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-63)*2\/(-8)*-3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.1 (b) -1 (c) -5414 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 13.812473787.\nAnswer: 9.812473787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 0.7, -2, 35 in ascending order.\nAnswer: -2, 0.7, 5\/3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1074 * -0.01\nAnswer: 10.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**30)**(-1\/32)*((j*(j*j\/((j**10\/j*j*j)\/j))\/j)\/j)**(-2\/21) assuming j is positive.\nAnswer: j**(-9\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*g - g + 14, g + 5 = -2*i. Calculate the least common multiple of ((-3)\/(g - -2))\/((-1)\/18) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(11) - sqrt(11)*-2) + 1)**2.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 - 99*a - 104*a + 298*a - 98*a in the form j*a + n and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -57*f + 1739245 - 12045. Is 34 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 14662 is divided by 1451?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 1. Let f be n(-1). Suppose 2*r + 12 = -i, -f = 2*i + i - 2*r. Calculate the remainder when ((-10)\/i)\/(1\/6) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7306 - -8194. Calculate the smallest common multiple of 666 and p.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -59, -1\/2, 3\/10?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12716536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16379.20648 take away -3734?\nAnswer: -12645.20648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-9928)\/1428 - 1\/21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/7 - 236*m\/7 - 5275\/7 = 0. Calculate m.\nAnswer: -211, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 48*m - 34 + 3 + 13 - 168*m to the form f + c*m and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97336 is divided by 729?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -930813053 divided by -3.\nAnswer: 930813053\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(3 + ((3*sqrt(833))**2 - sqrt(833)))*-4.\nAnswer: -504*sqrt(17) + 540000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3241*d**2*v**3 - 2666*d*v**3 wrt d.\nAnswer: 6482*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 40*v**2 - 39*v**2 - 28*v + 5*v + 12 + 4. Give h(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 11. Let x(z) = 1. Let n(k) = t(k) - 5*x(k). Suppose 0 = -w + 2*b - 1 - 6, 0 = -5*w + 2*b - 27. Calculate n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 365 - 23. Let c = g + 186. Let o = 47 - -190. What is the remainder when o is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30330132 (base 5) in base 8?\nAnswer: -737643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddet when four letters picked without replacement from {t: 1, d: 2, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 934543.3l?\nAnswer: 934543300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**4\/24 + 3*x**3\/2 - 11*x**2. Let o be s(4). Solve -2 = o*p - 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1462*s + 556*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3312\/(-46) + 18\/24 + 600\/96\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 270 = -20*y - 16*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/15 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212011020111 + -100?\nAnswer: -10212011020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 38. Suppose -y + a = 12. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461 = -69*m + 436 - 276 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.386 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 179742767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 2*z - 4*z + (4 + 0 - 3)*(z + 2*z + 2*z) + 3*z + 0*z - 2*z + 1 + z - 1 in the form q + c*z and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434, 447, 468, 497, 534?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 360563 + 261037. What is r rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 8. Let b be q(-6). Let m = 1 + b. Calculate the remainder when 19 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 3*f**2 + f**2)*(-2*f + 6*f - 2*f) + 6*f**3 - 4*f**3 + 0*f + f.\nAnswer: 18*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:12 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43984607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25608, -51369, -77130, -102891, -128652?\nAnswer: -154413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41907123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -19*r + 20*r + 13, -5*r = g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 94, 211, 506, 1069, 1990, 3359, 5266, 7801?\n\"Answer: 15*q**3 - q**2 + 15*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/34*(-221)\/364).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 2. Let b be (-33)\/(-18) + (-4 - (-11)\/3). Let s(j) be the first derivative of -1 - 2*j - b*j**2. Determine -3*s(c) - 2*t(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.5 (b) 5 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**4 - 492*w**3 + 30063*w**2 - 29692*w + 7392 = 0.\nAnswer: -168, 1\/2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3987*q - 89 + 33 = -3959*q. Sort -9, 3, 36, q in decreasing order.\nAnswer: 36, 3, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2484 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 + 2*w**2 + 0*w**2 - 12*w**4 + 3*w**2 - 30 + 29 in the form u*w + z*w**3 + n + s*w**2 + j*w**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228537 and 9247221?\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31786934 or -31786930?\nAnswer: -31786930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**2\/2 + 5. Let n(v) = -3*v**2. What is n(c(d))?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-9))\/(8\/12). Suppose -3*p = -2*n + 20, -k*p + 57 = 3*n + 14. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100703\/12 + -8392. Let y(s) = -s**2 + 5*s + 5. Let n be y(6). Let x be n*1\/(-2)*-2. Are x and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/736989 and -9\/1036057.\nAnswer: 71487933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 28*q**2 + 5*q - 55. Let x be f(14). Solve -58*r = -61*r - x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.261 not equal to -224889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*f*h**3 + 3*f*h + 57*h**2 wrt h.\nAnswer: -114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 60*i - 316 - 178 + 470*i.\nAnswer: 530*i - 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -1, 798, 5, 3 in ascending order.\nAnswer: -1, 3, 5, 30, 798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, 2, 0.792, 214?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*n**2 + 4 + 1 - 251*n**2 + 0 in the form j + r*n + h*n**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13991485 divided by 5\nAnswer: 2798297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 26*o**2 - 3*o + 84. Let k be 19 + 6*42\/36. Let l be q(k). Solve g + 0 + 10 = 5*x, 0 = -x + g + l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1014294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 71*l + 999. Let g be s(83). Factor 1\/3*m**2 + 1\/3*m**4 + 0 - 2\/3*m**g + 0*m.\nAnswer: m**2*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = 0, 3 = -4*c + 4*i + 11. Suppose c = 3*r - r. Let s = r - -3. Solve 5*n - 24 = s*l, 3*l + 5*n = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -100*n + 354. Determine q(3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/27843?\nAnswer: 2\/27843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Suppose -l*h = -3*h - 2, -2*h - 6 = -r. Factor 13*s**2 - 2*s**3 - 5*s**2 - r*s**3.\nAnswer: -4*s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*a + 20. Solve 5*d + 5*k = a, -3*d + 0*k = -k + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyddty. Give prob of sequence tzd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((5 - 2) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 7*s - 2*o + 364, -4*o = s - 364. What are the prime factors of s?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8101 and 35?\nAnswer: 283535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.39 smaller than 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4565*f**3 + 36*f**2 + 4568*f**3 - 5*f**2 - 17*f**2 - 14*f**2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 1. Let n(s) = -7*s + 11. Let z(o) = n(o) + 6*y(o). Give z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13044293.5574 - -1299.5574. Let k = -13043119.69427 - n. Let a = k + 125.7. Round a to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.36, 2\/5, 0.04 in decreasing order.\nAnswer: 2\/5, 0.04, -0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 2*j**2 + 11*j + 13. Let f be b(7). Let y = -87 - f. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**7\/21 - z**6\/15 - z**5\/10 + z**4\/6 + 21*z. Find r, given that s(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31948529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1.99.\nAnswer: -3.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/6 - u**3\/2 - u**2\/2 + 10*u. Calculate o(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-28)\/(-49)*(-7)\/((-21)\/9)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 32*z + 54. Let l be p(-32). Let m be 225\/l + (-2)\/12. Which is the second smallest value? (a) m (b) 3 (c) -0.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s - 1. Let k be w(-2). Let d be ((-170)\/68 - (1 + -2))*-2. Find the second derivative of -8*n + k*n**2 - 4 + 7 - d wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.4, 138, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 divided by -22?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 19177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 630 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, 9, 4, -27, 1, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 11 = -3*s + 3*l, 14 = -4*s - l. Let r(y) = -2*y**3 - 4*y**2 + y + 1. Calculate r(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16549594 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63833*b**3 - 278410*b wrt b?\nAnswer: -382998*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 16*l**2 + 80*l + 1097. Let a be r(-13). Sort a, -5, 2 in ascending order.\nAnswer: -5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*c = 2*d - 191*c + 27, 19 = d + 5*c for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w. Let k(i) be the first derivative of 161*i**3\/3 + 426. Calculate c(k(z)).\nAnswer: -644*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -5, -4, -1857881 in increasing order.\nAnswer: -1857881, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*x - 148 = 0, -23*p + 10288*x + 1831 = 10291*x for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -19*p - 303. Let s be z(-18). Let h be ((-2)\/(-4))\/(1\/12). Calculate the greatest common divisor of h and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 + 9292. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -30867 = -222*f + 219*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(-5 - 91\/(-21))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 156369958 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 859048, 1\/13, -0.3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 34000 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.7 + 4.4. Put a, 3\/4, 3, 2\/19 in descending order.\nAnswer: 3, 3\/4, 2\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (150\/(-35))\/(15\/(-70)). Solve -5*r + 3*r - 2*p - 20 = 0, -r - 3*p = k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*r + 2 - 2)*(0 + 4*r + 0 + (2 - 4 + 4)*(-3*r + 0*r + r) + 2*r + 2*r - 2*r + r + 2*r - 4*r - 4*r - 6*r - 10*r) to o*r**2 + d*r + p and give o.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 10*c**2 + 12*c + 14. Give z(-10).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -47 + 27. Let q(b) = 48*b**2 - 4*b - 115. Let d(k) = -48*k**2 + 3*k + 119. Let h(i) = w*d(i) - 3*q(i). Differentiate h(f) wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y)**(6\/7)\/(y\/(y*y**(-2\/3))*y*y*(y\/(y\/(y\/(y**(-2\/13)*y))))\/y*y))**(-26) assuming y is positive.\nAnswer: y**(1072\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2. Let u(o) be the second derivative of o**5\/60 + 5*o**4\/24 - 29*o**3 + 29*o. Let b(r) be the second derivative of u(r). Calculate f(b(p)).\nAnswer: -8*p**2 - 40*p - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 238093 - 237944.9988. Let d = u - 148. What is d rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a century in months?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**2 + 1914760*r - 28722300 = 0 for r.\nAnswer: -478705, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 14\/5, -0.14, -18\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f**2 + 4*f - 9*f**2 - 7 + 5*f. Let w be i(8). Let v(u) = 4*u**3 - u**2 + 2*u - 1. Calculate the remainder when 9 is divided by v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 45\/8, -0.4, 3547?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-562)\/(-24) + (1\/4 - (-139)\/(-417))?\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1570 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 36, 41, 48, 57, 68, 81?\n\"Answer: r**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243 - -356. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/6 - m. Let y = 0 + 3. Let p(l) = -y*l + 4*l - 3*l. Give b(p(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 2 - 2*r**2 + 3 - 7. Let y(a) = 2*a. Calculate y(s(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11246 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 484236734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-216)\/550)\/(28\/(-80)). Let c = h + 6\/77. Factor -4\/5 - 2*m - c*m**2.\nAnswer: -2*(m + 1)*(3*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*l - 0. Let i(q) = q**2 - 4*q - 3. Let z be i(l). Let r = 21 - z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*a + 290 + 1117 - 195 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -5 (c) 2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 158*p**2 + 21*p - 30. Is i(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -3*l, 0*o - 5*o - 14 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36957 and 1524?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 67*g**3 - 863*g**3 - 166*g**3 + 3*g**2.\nAnswer: -1096*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128.057 - -128. Round v to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 9*r - 2*a - 2464875, 0 = -4*r + 4*a - 1971900. Is (-1)\/4 - (r\/(-20))\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 13.10405832498?\nAnswer: 13.20405832498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1103*o**3*u**2 + 127995*o**3 + 269*o**2*u**2 - 163622*o*u**2 wrt o?\nAnswer: 6618*u**2 + 767970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 21 = 3*c, -3*c - 4*b = b - 21. Suppose 0 = 2*m - 10, m - c = -3*y - 2. Suppose w + 3*q - 8 = -0, y = 4*w - 2*q - 18. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:18 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 18. Let k be g(-8). Let c(t) = -2*t**2 + 8 - 8 - t**k. Let o(d) = -3*d**2. What is o(c(v))?\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-9))\/(140\/(-2520))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 13)*(9 + 1 - 11)*(1 + 3*q**2 - 1).\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4268 divided by -2134\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)*2\/(-7) + 6144\/7392.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 3) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2402706*d**4 + 2*d**3 - 49291429*d.\nAnswer: 28832472*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.1 (c) -27\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/105)\/(4\/(-96))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*i**2 - 447*i**2 + 1270*i**2 - 449*i**2.\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 16, 2*r + 34 = -5*p. Let n be 0 - ((-6)\/3 - r). Let o = 36 + -60. Is n < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 19.3*12457\nAnswer: 240420.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 2*p - 6*p + p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3 + 390*z**2 - 12675*z = 0. What is z?\nAnswer: 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/((a**2\/a)\/a*a))*a*a)**20)**13\/((a*a**(3\/4)*a)\/(a**(3\/14)\/a*a))**(2\/19) assuming a is positive.\nAnswer: a**(276569\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-180)*5\/(-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**3 + 3192*v**2 + 639984*v + 1267232 = 0.\nAnswer: -398, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 425*h**2 - 1271*h - 5. Determine o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**3*r*v**2 - 22*f**3*r + f**3*v**2 - f**2*v**2 - 2*f*r + 694*v**2 with respect to r.\nAnswer: 3*f**3*v**2 - 22*f**3 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 13038?\nAnswer: 13039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-200))\/(1\/(-2))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -226*i + 28911. What is b(128)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3021 - -3061. What is the greatest common factor of 1910 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1721 - 4*l + 592 + 574 + 591. Calculate i(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 8*b**2 - 10*b - 6. Let a be g(-9). Let k = a + -1. Factor 4\/3 - 2\/3*t**k - 2\/3*t.\nAnswer: -2*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*160.5469\nAnswer: -208.71097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -19)*10\/(-15). Solve 2*y - 3*n = -4 - 7, -2*y + 2*n - s = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 64*x - 9311. Give c(145).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125200 = 4*z - 2*t, -141*z = -145*z + t + 125200. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, m: 3, n: 8}. What is prob of sequence nmn?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.46*-165624\nAnswer: 241811.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (26 + -14) - (0 - 5) - -4) + -29.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, c: 2}. What is prob of sequence css?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118818 is divided by 1212?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m + 7\/3*m**3 - 1\/6*m**4 + 125\/2*m**2 - 53. Differentiate y(z) with respect to z.\nAnswer: -4*z + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -77. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 11:52 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u + 3*u. Let l = -17 + 30. What is the remainder when l is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4926, 4393, 3860, 3327?\n\"Answer: -533*y + 5459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -0.097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7988\/28 - -1*(-12)\/42. Suppose -301*y - p = -306*y. Calculate the least common multiple of 209 and y.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -447 - -471. What is the lowest common multiple of 3159 and f?\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*d + 64*d - 130214 = 0. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 124390801 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1660, 2100, 2566, 3070, 3624, 4240, 4930?\n\"Answer: 2*p**3 + p**2 + 423*p + 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 612, 1187, 1680, 2049, 2252?\nAnswer: 2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 11 + 2 = -2*j, -4*r = 5*j - 80. Let t = -8 + j. What is the third derivative of 37*u - 37*u - 2*u**2 + 9*u**t wrt u?\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 19*z - 24. What is m(9)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/15 and 61\/555.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25552940 to the nearest integer?\nAnswer: 5055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136*v + 182 with respect to v.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, i: 5, k: 1, n: 1, h: 2}. Give prob of sequence ngk.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 4. Determine c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**5\/10 - 4*p**4\/3 + 19*p**3\/3 - 12*p**2 - 3*p - 47. Factor q(j).\nAnswer: 2*(j - 4)*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*g*l*n - 8274266*g*l + 1707*g*n - 2*l*n - 2*n wrt n?\nAnswer: 8*g*l + 1707*g - 2*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 55\/(-88)*1\/(-30). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 - 5*y**3 + 5*y**3)*(-5 + 1 + 2) + (0*y - y + 3*y)*(-3*y**3 + y - y + (0*y - 3*y + 5*y)*(0*y**2 - 5*y**2 + 3*y**2)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1097 - 913*y - 904*y + 2715*y - 900*y.\nAnswer: -2*y + 1097","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 j, and 1 b when three letters picked without replacement from jhhhbhhjvjkhk?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 3*h. Let o be w(-2). Solve 2*d = o*k + 16, -5*d - 2*k = -16 - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, h: 14}. Give prob of picking 4 h.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-77) + 26\/(-88). Let v = 6 + -6. Suppose 3*s + 3*o - 3 = 0, 5*s + 0*o = 5*o - 35. Put s, q, v in decreasing order.\nAnswer: q, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 31. Let w = -7 - -6. Is w > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 180697940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*r = -50, 4*l + 1 - 5 = -5*r. Let x(n) = n**2 + n + 1. Let i(k) = 3*k**2 + 2*k + 2. Calculate l*x(u) - 3*i(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*v + 45, -4*h + 3*v + 29 = h. Solve -6*u = h*u + 39 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30 + -24 + (-1 - 2). Suppose n*p + 5*z = -3 - 23, -5*p - 6 = -z. Sort p, 1, 4 in ascending order.\nAnswer: p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/37 and -65\/24.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(0 - (-21)\/(-6)). Let u = -3 + x. Let z(y) = -5 + 1 + 2 + 6*y + 7 - y**2. Calculate z(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86391, 87072, 87765, 88476, 89211?\nAnswer: 89976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 11*d**2 - 9*d - 37. Let l be v(12). Let z be l\/(1*(4 - (-36)\/(-8))). Solve -z = -4*y - 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*q**3 - 34*q**2 + 3698\/5 + 3526\/5*q = 0. What is q?\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(40\/(-55)))\/((-15)\/(-30)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229178*g**2 - 55609*g**3 + 55730*g**3 + 229178*g**2.\nAnswer: 121*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/9 - 382*y**3\/3 + 11614*y**2\/9 - 8930*y\/3 + 16324\/9 = 0. Calculate y.\nAnswer: -583, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142898 + -142896. Determine d so that 3\/2 - 1\/6*d**3 + 7\/6*d**w - 5\/2*d = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -548\/3523 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000558 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 1. Let d be l(2). Let h(k) = k**3 - 3*k**2 + k + 1. Let q be h(d). Sort q, 2, 1 in descending order.\nAnswer: q, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6207 - -6648. Solve -i*d = -447*d - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 0*i**2 + 3 - 2*i + 3*i**2 + i. Let o be m(0). Let x = -1.99 - 0.01. Is o at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1292*s**3 + 1059*s**3 + 3149*s**3 + 598*s**3 - 91*s**3.\nAnswer: 6007*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 170458 + 15234 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2126213671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 111*j**2 - 118*j - 672.\nAnswer: (j - 3)*(j + 2)*(j + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29882569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 4*w - 21. Let q be t(7). Let u(n) = n**3 - 2*n + 60. What is the remainder when u(q) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -5*k**4\/24 + 17*k**3\/3 - 55*k**2\/3 + 12*k + 438. Determine b, given that q(b) = 0.\nAnswer: 2\/5, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 4263797?\nAnswer: 17055188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7517833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3101985)\/(-348) + 10\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10 = -4*v - h, 0 = -2*v - 2*h - 10. Put -4, -5, v in decreasing order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**3 + 82*i**3 - 455*i**3.\nAnswer: -386*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -140857, -1, 0.2, 3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*(6\/15)\/(6\/15). Let n be (2 + f\/9)\/((-8)\/(-252)). Calculate the highest common divisor of 231 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 117274897.84 and 948?\nAnswer: 117273949.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 923997, 923893, 923787, 923679, 923569, 923457?\nAnswer: 923343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2067*w**4 - 6505 wrt w.\nAnswer: -8268*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 18*k + 5. Let q(m) = m. Let v(d) = 6*d + 2. Let b(t) = -4*q(t) - 4*v(t). Let g(j) = 5*b(j) + 8*p(j). Let x(l) = 7*l**2. What is g(x(c))?\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - -3 - (4 + 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3439 is divided by 1142.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -180, -133, -86, -39, 8?\n\"Answer: 47*h - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*x = 8 - 3, 0 = -3*m + 4*x - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/(w\/(w**(-3\/2)*w)))\/w)\/w**(-4\/7))\/(w\/w**(-16))**(-4))**(-48) assuming w is positive.\nAnswer: w**(-22872\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(36)*1)\/sqrt(12)*-5 - -1*(sqrt(36)\/sqrt(4))\/sqrt(3)*4.\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*y + 35*y - 50. Suppose -3*x - 3*m + 21 = 0, -3*x = -2*x - 2*m - y. Suppose 160 = 4*q - s, -s - 35 - x = -q. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 2*f - 2. Let a be 1 - (-4)\/12*3. Let q be w(a). Solve 4*r - 5*p - 5 = q*r, r - 2*p = 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.2469m in micrometers?\nAnswer: 269246900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-75)\/90 + (-6 - 4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 1264.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 9. Suppose 4*o - 12 = -0*o. Suppose -7 - 3 = 5*k, v = o*r + 3*k. Calculate the highest common factor of 4 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 5 - (-6)\/(-12)*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 4383*r**2 + 21*r**3 - 4383*r**2 - 2*r**3 - 2*r**3 + 2*r**3 + (-r + 0 + 0)*(-3*r - 4*r**2 + 3*r))*(3 - 3 + 3*r**2).\nAnswer: 69*r**5 + 45*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - ((-11 - -50) + -54 - 11).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72630 = 3*h + 4*q + 72887, 0 = -2*h - 2*q - 128 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 153, 134, 95, 30?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 10*p + 5. Let y be (-7 - 2)*(-1)\/1. Let k be j(y). Which is the nearest to 0.2? (a) k (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 27594*p + 27598*p - 21, -4*t = p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -43*a**2\/2 + 2*a - 198. Let u(p) = 3*p**2. Give o(u(i)).\nAnswer: -129*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -2*u**5\/15 - u**2 - 6*u. Let t(b) = -9*b**2. Give t(c(s)).\nAnswer: -576*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-63)*(-78)\/(-18)*-21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77560 - -313?\nAnswer: -77245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/473 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1013, -6, 1743, 4234?\n\"Answer: 371*w**2 - 106*w - 1278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -31*i**8\/336 - i**5\/10 + 42*i**2. Find the third derivative of u(a) wrt a.\nAnswer: -1860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 11 - 35 = 3*d + 17*c, 0 = -3*d + 26*c - 57 + 33 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sisissiiiipsiiisssi. What is prob of sequence si?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1153, -1141, -1139, -1147?\n\"Answer: -5*z**2 + 27*z - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 13*f**2 - 8*f - 11. Let w be l(-6). Which is smaller: w or -1\/4784?\nAnswer: -1\/4784","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {o: 1, h: 1, y: 2, s: 1, p: 1, z: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbk when three letters picked without replacement from {k: 5, p: 3, x: 1, f: 3, r: 2, b: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**3 + 2*g - 1. Let t be x(1). Let m = -5 - t. Is -3 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39, 68, 97, 126, 155?\n\"Answer: 29*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 545 (base 12) to base 6\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 9*i**2 + 9*i + 9. Let y = -19 - -9. Is c(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -7. Let f = j + -5. Differentiate -f - 1 - 5*n - 6*n**3 + 5*n with respect to n.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220720163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2655027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-3)\/m)*m**4\/m*m*((m\/m**(-6))\/m)\/(m\/(m**(-5)\/m)) assuming m is positive.\nAnswer: m**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 2.25. Let g = -1.75 - p. Which is the nearest to -2\/7? (a) 2 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/50 and -143\/210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-9)*i)\/(i**5*i))**6*(i**(-1\/4)*i*i)**(-47)\/(((i\/(i\/i**(4\/7)))\/i)\/(i*i\/(i*i**(-3)\/i*i)*i)) assuming i is positive.\nAnswer: i**(-4335\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26952374857 and -0.14?\nAnswer: 26952374856.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4359 is divided by 93?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7*5\/525)\/((-5)\/10)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:12 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*i + 14 = 0, 28 = 4*q + q - 4*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -280100 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 1279 = 1479. Let b = -9 + 99. What is the greatest common factor of b and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276150 divided by 18410.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 235?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -7 (b) 18 (c) 19 (d) 0.1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60563730 to the nearest integer?\nAnswer: 7782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 22*v - 25*v. Let g = -66 - -98. What is the remainder when g is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103\/(-7) + 156\/182*(-5)\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 260861714\/5 or 52172342?\nAnswer: 260861714\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 35523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3650*b**2 + 8 + 135*b**2 - 8.\nAnswer: -3515*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44686 + 44686.04. Let m = -11 - -19. Which is the nearest to 0? (a) -1\/4 (b) t (c) m (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ubxddbbddby?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -17323, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, -14, -60, -124, -206, -306, -424?\n\"Answer: -9*b**2 - b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 - 1568700*u**2 - 307586773650*u + 6152362969000 = 0. What is u?\nAnswer: -392185, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2, 13, 5\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2520.902 millennia?\nAnswer: 25209.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**4 - 59*s**3 - 14328*s**2?\nAnswer: 48*s - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 0*v**2 - 18*v**2 + v**2 + 4*v**2. Let k(p) = 3*p. Give j(k(o)).\nAnswer: -117*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168282 is divided by 194705.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -1*1*sqrt(72) - sqrt(72) - sqrt(72) - (sqrt(72) - (sqrt(72) + -5 + (sqrt(72) - (-1 + sqrt(72)))))) + -3*(1 + sqrt(72))*6)**2 + 5.\nAnswer: 5280*sqrt(2) + 29289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h**(-3\/2)\/h*h*h*h*h)\/(h**(1\/3)\/h*h*h)**(-15)*(h\/h**(-2)*h*h**1\/h)\/(h**(1\/5)\/(h*h**(3\/2))) assuming h is positive.\nAnswer: h**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 8. Suppose 0 = -d + s, -3*d - v*s + 2 = -7*d. Let o = -0.2 + 0.1. Is d equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -665681.\nAnswer: -665677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v**3 + 2*v**2 + 5*v + 8. Let c(u) = -5*u**3 - u**2 - 3*u - 4. Determine -5*c(o) - 3*x(o).\nAnswer: -2*o**3 - o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12953, 51729, 116349, 206807, 323097, 465213?\nAnswer: 633149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 663025965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 394008 divided by -98502?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 280452797 and 0.04.\nAnswer: 280452797.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8192.03 and 2.2.\nAnswer: -8189.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3326 = -3339 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325348 to the power of 1\/2, to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -206. Let g = 75 - y. Suppose 3*o + i = 5*o - 166, -2*o + 3*i + g = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1027, -26, -12, -4, 4, 5 in ascending order.\nAnswer: -26, -12, -4, 1, 4, 5, 1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 131968 or 131958?\nAnswer: 131968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*p, -7*p + 4*p + 9 = -4*z. Let d(r) = -3. Let x(l) = -l - 24. Let w(h) = p*x(h) + 5*d(h). What is w(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(5*2\/(-20)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 2. Let i be q(-22). Let w be (0 + -1)\/(1\/(-5)). Solve w*h + 9 = i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0239175 millilitres?\nAnswer: 0.0000239175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6918101\/13517 + -96\/1931. Let w = l + 513. Let z(c) = 3*c**3 - 2*c + 1. Let t be z(1). Is t greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 9*a - 8. Let f(m) = 5*m**2 - 18*m - 16. Let o(k) = -3*f(k) + 7*t(k). Let q be o(-8). Suppose q = -7*h + 4*h. Solve -4*g + 12 + 8 = h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/70)\/((-3)\/(-4))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u - 3*u + v, 0 = u - 2*v - 14. Solve l = -4*w + 4, -u*w - 2*l = -6 - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeippiirirrprrre. Give prob of sequence rp.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (sqrt(125) + 2*(-2 + sqrt(125) + sqrt(125))))**2.\nAnswer: -160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8094950*l**2*z**3 + l**2*z**2 + 4*l**2*z + 3*l**2 + 16*l + 16*z**6 + 850*z wrt z?\nAnswer: -48569700*l**2 + 1920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14884\/(-549) - -26)*1\/((-2)\/72)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/8657 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(3)*1) - (sqrt(468) + sqrt(468)*-2 + sqrt(468))\/sqrt(9))\/(-2*sqrt(4)*1 + sqrt(324)*1).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v - 12. Let o(t) be the third derivative of -5*t**4\/24 + 11*t**3\/6 + 12*t**2. Let z(c) = -4*o(c) - 3*y(c). Differentiate z(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 4*t**2 + 4*t + 2. Let r be 0 - -4 - (-11 + 17). Let a be g(r). Is -29\/5 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290*a*s**2*z**2 + 2*a*z + 28*s**2*z**2 + 32914*s**2*z wrt z?\nAnswer: 580*a*s**2 + 56*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417533044?\nAnswer: 2, 61, 199, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151957\/18 + 8446. Let l = 6903 - 110409\/16. What is the common denominator of d and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 25*n**2 - 136*n - 13. Determine r(-17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1375, 1364, 1353, 1342?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/6 + 7*p**3\/6 + 2*p**2\/3 - 14*p\/3 = 0?\nAnswer: -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 55149*83\nAnswer: 4577367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 130.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2792 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2 + 52456*a + 49343520 = 0?\nAnswer: -12094, -1020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 1:00 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334*0.159.\nAnswer: -212.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 3 + (2 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + (-35)\/10)*176\/6. Let r be (-90)\/27*(11 + u). Suppose 8 = h - 2. Calculate the highest common divisor of r and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 66396641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -93870?\nAnswer: -2\/46935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*u + 3. Let j be (-5871)\/4120 + (-18)\/(-10). Let x be (-8)\/(-6) - (-2)\/(-6). What is the closest to u in j, x, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*p*q**3*w**2 + p*q + p*w**2 - p + 9*q**3 - 73*w**2 - 2 wrt q?\nAnswer: 12*p*q**2*w**2 + p + 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcn when three letters picked without replacement from ccggcgcgnpg.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089000 rounded to the nearest ten thousand?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 54. Calculate the remainder when 141 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9596 divided by 4798.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*x - 335 = 0, 4 + 1 = x. Let z be s\/(((-3)\/(-16))\/1). Suppose 0 = 3*n - 6*n + z. What is the greatest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (370\/(-296))\/(10\/12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2882 is divided by 77.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -12 - 5) + (-4 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30456124763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3390b (base 13) in base 12?\nAnswer: 46352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - 48 - (0 - -2) - (7 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30868*t**3 + 204*t**2 + 21?\nAnswer: -185208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:43 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**2 - 3*o. Calculate a(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epe when three letters picked without replacement from eppqe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 693168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q = 8. Let s(n) = n**3 + 2*n + 33. Let g be s(0). Suppose 54 - 9 = 2*j - 3*p, 0 = q*j + p - g. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10967.2974 microseconds?\nAnswer: 0.0000001269363125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 661, 2\/3, -0.4, 2\/9, 3 in decreasing order.\nAnswer: 661, 3, 2\/3, 2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-4212826\nAnswer: -4212826.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3775 + -1?\nAnswer: 3774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.021 and 0.159.\nAnswer: 0.003339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - -0.19. Let q = 16.1 + -16. Is l equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 v, and 1 t when three letters picked without replacement from {p: 1, e: 1, v: 1, a: 2, t: 1, c: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2170742\/19794 + (-29)\/3.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16759 greater than -16775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*q + 46905 + 197537. What is the first derivative of 100 - 52*k**2 + q*k - 5962*k wrt k?\nAnswer: -104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35590, -3, 47 in increasing order.\nAnswer: -3, 47, 35590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-24)*6\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -41. What is the third smallest value in -2\/15, -4\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let l(o) = -4*o**2 - o**m + 3*o**2. Let k(w) = -w**2. What is l(k(t))?\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**4\/12 + q**2 + 2*q. Calculate s(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.6 - -48.6. Let w = p + -37. Sort w, 1.9, 1\/3 in descending order.\nAnswer: 1.9, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 392356 by -4.\nAnswer: -98089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*n = 7, 19*h + 5*n - 35 = 36. Solve -12*a - 5*y - 16 = -13*a, 0 = 2*a + h*y + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110*t**3 + 239900*t**2 - 244243*t**2 - 1940*t**3 wrt t.\nAnswer: -12300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142769 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 17*b**2. Let g(v) = -396*v - 399*v + 3*v**2 + 795*v. Calculate g(z(c)).\nAnswer: 867*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0102907752 to five dps.\nAnswer: -0.01029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 11 (b) -3\/55 (c) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*y - 0*y, 3*y = -b + 5. Let n = 4 + b. Suppose -n*j + 108 = -0*j. Calculate the highest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 52 = -4*u, -3*i - 39 = -3*u + 21. Suppose 0 = 14*p - u*p. Solve 4*q - q + 3 = p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Suppose 0 = 3*x + 2*x + 3*g - 102, 0 = -2*x + 3*g + 24. Let v(a) = x*a**2 + 14*a**2 - 10*a**2. What is v(j(r))?\nAnswer: 88*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2840 by -5159.\nAnswer: 2840\/5159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8855\/2530*(-16)\/49?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 1712\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**8\/1008 + g**7\/70 + 3*g**6\/40 + 3*g**5\/20 - 3*g**2. Solve j(h) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242)\/(-176)*(-80)\/30.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/3 + 2386*v**3\/3 - 94181*v**2\/3 + 799136*v\/3 + 664700 = 0?\nAnswer: -2, 17, 25, 2346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1140175803 divided by -21512751.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1462 or -2\/1685?\nAnswer: 1462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-39.1\nAnswer: 15.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 286020262 divided by -4?\nAnswer: -143010131\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.3 + 24.7. Let k = j + -30.3. What is the nearest to 1\/3 in -8, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -11*x**2\/4 + 33273*x\/4 + 136485\/2 = 0.\nAnswer: -90\/11, 3033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -w + 2*c - 5*c, 0 = 2*w + 5*c - 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7664 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1724742941 to 5 dps.\nAnswer: -0.17247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 524, 1046, 1568, 2090, 2612?\n\"Answer: 522*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17487, -69990, -157549, -280164?\n\"Answer: -17528*g**2 + 81*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9299\/4 greater than or equal to -2326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18028919*r**2 + 41541410.\nAnswer: -36057838*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -142*(-3)\/6 - 4. Find the third derivative of -u**2 + 62*u**4 - n*u**4 + 0*u**2 wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 7*x**2 - 4. Let n be b(4). Let m = n + 139. What is the common denominator of 41\/8 and 0 + -1 - m\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*r - 16 = 0, r + 11 = 5*k + 3*r. Let x = 4243 + -4242. What is the closest to x in 0, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 25 (b) 3\/2 (c) 7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/11 - 2539756*u\/11 - 2539758\/11 = 0.\nAnswer: -1, 1269879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**5 + 74792*o**4 + 10*o**3 - 27007794*o**2 wrt o?\nAnswer: -120*o**2 + 1795008*o + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 103, -8 in descending order.\nAnswer: 103, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)*s*s**(-6))\/(s**(-1))**(26\/9)*((s*s**(1\/3))\/(s\/s**(2\/11)))\/(s**1)**31 assuming s is positive.\nAnswer: s**(-6421\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732*q + 0 - 735*q + 0.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5096803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 494 and 15162394.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 1305530*i - 1305532.\nAnswer: 2*(i - 1)*(i + 652766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 67541416285?\nAnswer: -67541416284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(20\/(-6))*(3166020\/32967)\/(-533)?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8211 = 2*o, -2*o + 5*n = 10*n - 8223. Suppose 4*v - 18*g = -20*g - 5464, 0 = -3*v - 3*g - o. Round v to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -74.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56303409343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3966.27702 to 0 dps.\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2289*f + 1232*f**3 - 470*f + f**2 + 361*f**3 wrt f.\nAnswer: 9558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309054.01 rounded to the nearest 10000?\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 2*y + 3. Let q be x(4). Suppose 8 = 5*w + 3. Suppose 0 = -5*u - 1 - 14. Put u, q, w in descending order.\nAnswer: w, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175 + -43. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 28, 54, 88, 130?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*p + 2*p + 2, -v + 2*p - 6 = 0. Suppose -x - 4 = 0, -3*t = -v*x - 0*x - 1920008. Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 0, g + 2*x - 3 + 1 = 0. Suppose -l = -2*w + 13, -6*w + g*w - l = -29. What is the units digit of 19*(-1 - (4 - w))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1259875849?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -15*q**2\/2 - q - 11. Calculate y(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**2 + n**2 - 2*n**2. Let d(m) = 7*m - 6. Let t(u) = -5*u + 4. Let a = -719 + 717. Let x(j) = a*d(j) - 3*t(j). Calculate f(x(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - z + 29. Let a be o(0). Suppose a = 3*v + 8. Let n = 19 - v. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-3))\/((-68)\/(-12) - 6). Let m be 6*(-1)\/(-2)*-1. Let h = m - a. What is the smallest common multiple of h and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 13. Give t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97752 by -97752.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from qqtr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 385*f**3 + 88. Let v(d) = 22*d**3 + 5. Give 5*j(h) - 88*v(h).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 7:27 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34109.474 - -1690016.4.\nAnswer: 1724125.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 30. Let g be (2\/(-10))\/((-6)\/s). Is g at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 70980 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 13, 0.2, -0.3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {t: 5, y: 2, p: 1, n: 2, b: 1, a: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557 = -35*f + 130*f + 319*f - 4411 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lppphhkpypypllr. Give prob of picking 1 l and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*q**4 + 12*q**3 - 11*q**2 - 27*q - 5927117 with respect to q.\nAnswer: 408*q**3 + 36*q**2 - 22*q - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**3\/3 + 47*d. Let f(u) = 7*u**2. Calculate f(p(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -504 + -8?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -136\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -16. Let v = -4 + 4. Suppose v = -w - 0*w + 9. What is the greatest common divisor of w and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrcrrrrcrrrrc. Give prob of sequence rc.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -60496, -60497, -60498?\n\"Answer: -f - 60495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - a + 1. Let t be b(0). Let v be (-1)\/((0 - t)*1). Let u = -9137\/21 - -435. Which is bigger: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.646 + -0.354. Let l be 6*1\/(-2)*-3. Which is the closest to -2\/7? (a) x (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*b + 27 - 307 = 350*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2406 divided by -6\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 3.7. Let s = o + -11.2. Let b = -124\/9061 + 70\/533. Put s, b, 1\/2, 1 in descending order.\nAnswer: 1, 1\/2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23306951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010000010101 (base 2) to base 11.\nAnswer: -20366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 0 - (3 - 0 - 2). Let c = 315 - f. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47609.73mm in meters?\nAnswer: 47.60973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = r + 5*k - 4, 0 = 4*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 33*y + 36.\nAnswer: -3*(y - 1)*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 32. Let i be (r\/30)\/((-1)\/(-17)) + 3. Which is greater: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 341300?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1948*g*u**2 - 47*g*u - 8*g + u wrt u.\nAnswer: 3896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -16. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -45.33. Let d = 13.67 + p. Let u = d + -13.99964. Round u to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35440*f**5 + 2*f**4 + 24*f**3 + 5765640*f wrt f.\nAnswer: -708800*f**3 + 24*f**2 + 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 3\/4 (c) -4 (d) 12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.53 + 9.488. Let c = -32 + 21. Let m = n + c. What is m rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.157*-1145.\nAnswer: -179.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -58*k + 239*k - 235 - 56*k - 59*k - 55*k. Calculate n(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77072.57 litres to millilitres.\nAnswer: 77072570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*z + 45, -6 = 4*z - 26. Suppose p + m = 5*w, 4*w + 0*p = -5*p - 25. Solve -8*d + 45 = -3*d + 5*b, w = 4*d - 5*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.4 and -117438210186.\nAnswer: -117438210183.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4771, 7657, 10533, 13393, 16231, 19041, 21817?\n\"Answer: -y**3 + y**2 + 2890*y + 1881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Suppose -g - 1 = l, 2*t - 9 - 6 = -g. Let s = 12 + 2. What is the lowest common multiple of t and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 4*z + 16 = 16*a, 4*z + 16 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4*d**2 + 3*d - 5. Let w be z(-5). Let s(g) = -16*g - 6*g + 16*g - 141. Let j be s(-24). Are j and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s + 6. Let c be w(-4). Let x be (240000\/9)\/(4\/c). What is x rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2. Suppose -n = z - 11, -13 = 4*n - 5. Suppose 12*y = -1 + z. Let t(d) = -7*d**3 - 2*d**2. Give y*t(k) - 3*r(k).\nAnswer: -4*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o. Let n = 71 - 42. Let b(x) = -n*x - 29*x + 56*x. Determine b(l(f)).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 226 + -187. What is the remainder when r is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5690*n**2 - 8535*n - 349935. Let w(u) = -u**2 - u - 41. Let r(q) = -i(q) + 8535*w(q). Let h(a) = a**2. Calculate h(r(p)).\nAnswer: 8094025*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (9 + 4 + -5 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15245 + -15245.000182375. Round o to six dps.\nAnswer: -0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*u + 48 = 68*u. Solve 5*f - 16 = 3*w, -2*w = -u + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(192) + sqrt(192) + 3 + -5 + 3*sqrt(192) + 1 + -2 + sqrt(192) + 0)**2*3.\nAnswer: -1152*sqrt(3) + 5376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10036 + 10045. Let g = 9 + -15. Let n = 1 - g. Calculate the least common multiple of n and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a - 6732 + 6725 + 0*a**2 + 6*a**2. Calculate l(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 34062.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -13*s**5\/20 + s**3\/3 + s**2\/2 + 2*s. Suppose 3*h + 36 = -4*y + h, 3*y - h + 22 = 0. Let f = y - -7. Determine r(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 79, 117, 155?\n\"Answer: 38*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-63)*((-3780)\/784)\/(33\/(-77))?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253379302*o**3 + 317336366*o wrt o.\nAnswer: -1520275812*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116496 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(52) + (sqrt(104)*-5 - sqrt(104))\/sqrt(2)))\/(sqrt(16) + sqrt(16) + -6*sqrt(16)*-2 + sqrt(16)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 32*m + 674. Let y be k(-21). Solve 14*a = -y*a - 48 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6002 - -3408790?\nAnswer: 3402788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 53.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-45)*10\/(-4). Let u(c) be the first derivative of g + 0*c + 2\/3*c**3 + 0*c**2. Let x(f) = f**2. Determine u(x(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139.21 + 138.81. Which is the fifth smallest value? (a) -0.5 (b) 1 (c) m (d) 1\/2 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19595, -156770, -529119, -1254230, -2449691, -4233090, -6722015, -10034054?\n\"Answer: -19598*h**3 + h**2 + 8*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4 - 28179*r**3 + 88228449*r**2 - 92081091273*r = 0.\nAnswer: 0, 3131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8)*a*a**3)\/(a**(2\/7))**46 assuming a is positive.\nAnswer: a**(-519\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -14 + (2 - 15) + -93 + 105\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 16*j - 16. Let c be m(1). Let b(p) = -p**3 + 4*p**2 + 2. Let k be b(4). Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -94716573 from 1.658528.\nAnswer: 94716574.658528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-16)*-8*(-7)\/(-168)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*o - 0*o, -5*u = -3*o + 116. Let k = u - -37. Let m = k - -123. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 835334?\nAnswer: 9188674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21\/17 - -749\/510. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.5 + -1.5. Let h = -10.2 - 0.8. Let f = g - h. Which is the third smallest value? (a) 6 (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/100*-16)\/((-6)\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 318504271*i - 283630135.\nAnswer: 318504271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 + 3 + 0 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Suppose y*p + 20 = 8*p. What is the remainder when (1 + -2)\/(1\/(-18)) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.95 - 0.05. Suppose -221 - 226 = 5*h - 467. What is the second biggest value in h, o, -4\/5, -6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 11 + 4*m - 8*m + 9. What is s(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*l - 148*l = -77. Suppose l*s - 2*a = 8*s + 4, -a = -4. Solve s = 6*r - 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313 - -450033?\nAnswer: 445320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxxt when four letters picked without replacement from stsststxtstxtsttt?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*3*(-3*sqrt(136) - sqrt(136)))\/(-1*sqrt(1152) - -3*sqrt(72)\/sqrt(9)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 11. Let j be h(8). Suppose 0 = -0*c + 3*c - 51. Let t = c + -17. Solve -j*d + 3 = 3*k - t*k, -5*d = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 12. Let x(c) = c - 11. Give 4*a(z) + 5*x(z).\nAnswer: z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - w = o - 595, -2*w = 2*o - 590. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.012701 and -1?\nAnswer: -0.012701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165509 or -331019\/2?\nAnswer: -165509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 878, 879, 882, 887, 894, 903, 914?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-3 - 4 + 2)*(-2*r - 2*r + 3*r)*(0 + 0 - 1).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-72) + (-6 - (-530)\/90).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**5\/a)\/a*a)\/a*a)\/(a*a**0))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/(f**13\/f))**(-3\/5)*f**(1\/6)\/f*f*f**(-1\/5)\/f*f**(2\/19)*((f\/(f\/((f*(f\/(f*f**1))\/f)\/f)))\/f)\/f*f assuming f is positive.\nAnswer: f**(715\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (28 - (3 - 4 - -3))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 1) + 69 + -63.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35927 and 31.\nAnswer: -35896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmamaufmmumm. Give prob of sequence fmu.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.5 (c) -302\/3 (d) -0.5 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -24\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*n + 2*n. Suppose -c + 3*c - 7*c = n. Solve c = 2*z + 3*z - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 22 + 46. Let q = -30 - o. Suppose -10 = -0*r - 5*r. Solve -r = -3*i + q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 5. Let j = 13755 - 13758. Let g(n) = -n - 6. Give j*x(v) + 4*g(v).\nAnswer: -v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/252616 and 83\/5552?\nAnswer: 505232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/6)*((r*r*(r\/(((r\/r**(1\/26))\/r)\/r*r))\/r)\/r*r)\/r*(r*r**(-1\/5))**15 assuming r is positive.\nAnswer: r**(541\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 437 = 211. Let v = 674 + z. Calculate the common denominator of -73\/6 and (-2)\/(-10) - 1245\/v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29 (b) -1\/83 (c) -327 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*b + 2 = -2*p, 0 = -5*p - 5*b. Put 10, 7, -2, p in descending order.\nAnswer: 10, 7, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50205433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -1) + (15 - 9). Suppose 0 = 7*r - c*r - 60. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-104)\/(-40) + -6. Calculate the greatest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 30. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let d = -300\/1463 - 3278809\/13167. Let k = -249 - d. Which is the biggest value? (a) y (b) -3\/8 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2312218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44357534, 44357533, 44357532, 44357531, 44357530?\n\"Answer: -k + 44357535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (0 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/(14\/(-12) + 1). Suppose -2*v - 3*v - 3*k = 47, f*v + 2*k = -29. Let c be (-2)\/4 + v*5\/(-35). Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)\/(v*v**(2\/11)\/v))\/(v**(1\/4))**(17\/5))\/((v\/(v*v**(-1\/2)))**8*((v*v**(-1\/4)*v)\/v)**(-2\/3)) assuming v is positive.\nAnswer: v**(-3211\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4066.\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 62 = 2*p - 74, 2*v + 7*p - 30 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 31 - 74 = 0. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3\/5*p**3 - 9\/5*p - 3\/5 - 9\/5*p**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 11*k**2 + k - 108. Determine z(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*y - 20, 48*y - 20 = 43*y. Suppose 2 = -w*k, 5*k = -5*d - 2 - 3. Solve d = -5*c - 5*r - 35, 3*c - 4*r = 12 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/32)\/(15\/20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -310 - -626. Suppose 5*o = 4*y - j, -y + 2*o = 3*o - 79. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 81?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**3\/3 + 17*c**2\/2 - 2*c - 5. Let f be x(14). Suppose u = 3*u - f. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*g = 256*g - 2010 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 + 0*z**2 + 0*z**2)*(-2*z + 3*z - 2*z) + 1116*z**2 - 64*z**3 - 1116*z**2 - z**3 + z**2 + 0 + 1 - 2*z**2.\nAnswer: -70*z**3 - z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13798, -13802, -13806, -13810, -13814, -13818?\nAnswer: -13822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -d - 3 + 16, 4 = 4*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 32, 0, -2, 150402 in ascending order.\nAnswer: -5, -2, 0, 4, 32, 150402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-4) - -1 - -273 - (15 + -13). Calculate the highest common factor of w and 1442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/67, 1\/18, -0.7, 2064 in decreasing order.\nAnswer: 2064, 1\/18, 1\/67, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e0a91 + -c?\nAnswer: -2e0a9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x**3 + 54*x**3 + 53*x**3 - 152*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*w = -86*w + 90. Solve -3*j = -2*t + w, -12 = 3*j - 4*t - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/4)\/7*6\/(-15)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 3 (c) 2\/9 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -574*d + 564*d + 510. Does 50 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00096493 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*s + 37, -2*a + 57 = -a - s. Let y = a - -15. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27579 times -17.79\nAnswer: 490630.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-202)\/(-10) - 8\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Solve -2*y - 5 = -f - 4, o*y = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18554 * -5\nAnswer: -92770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 807 and 17517011.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1344 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + 3*r**3 - 4*r**3 + (-2*r**2 - 2*r**3 + 2*r**2)*(6 - 10 - 5) to the form o*r**3 + k*r**2 + t*r + b and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2 + 71992*d + 323928004 = 0 for d.\nAnswer: -8999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 13*y - 14*y. Suppose y*o - 80 = -3*o. Suppose 13 = o*r - 19. Solve -2*w + 2*f = -r, 2*w = -0*w + 3*f + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:27 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1665898 and 510.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:56 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Suppose c*d + 0*d - 42 = 0. Let h = d - 7. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40674 from -0.3.\nAnswer: -40674.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194018873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69 + be09?\nAnswer: bd90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 1\/6*l**3 + 0 + 16*l + l**2 + 5\/12*l**4. Let r(j) = 4*j**2 + j + 2. Give -3*f(u) + 4*r(u).\nAnswer: u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 385*n - 1055. Calculate m(7).\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12727421*g**3 + 2*g**2 + 451132*g - 1 wrt g?\nAnswer: 76364526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23821073256*r + 23821073256*r - 20*r**2.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 7*n**2)*(47 - 47 + n**2) + 7*n**3 + n**4 - 7*n**3 + (n**3 + n**3 - n**3)*(4*n + 2*n - 5*n).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1413052*s**5 - 4*s**2 - 32623*s - 3?\nAnswer: 84783120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14550, 14315, 14082, 13851, 13622, 13395?\n\"Answer: p**2 - 238*p + 14787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.3. Let l = -5 + 5.3. Let s = l + d. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3362.22 to the nearest 10.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 7*m + 6. Let l be w(-3). Suppose 4*o - 239 = l*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 5:28 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + l + 63 = -27, -4 = -2*l. Let s(p) = p**2 - 44*p - 1269. What is the remainder when s(66) is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301776?\nAnswer: 2, 3, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - x - 3, 4*z - 2*x = z - 3. Let b be (-1)\/z*-300001 + 1. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(2040\/(-36))\/(-34)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-6 - 7) + 27 + (-31 - -19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 32. Which is the nearest to -1\/5? (a) z (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4*i - 4*i + 0*i - 3*i.\nAnswer: -11*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.463 take away 0.09?\nAnswer: -1.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 5*s + 24, -5*s = -25*d + 23*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2 + c**2 - 2*c**2 - 2*c + 0*c + 2*c**2. Let i(l) = -l - 7. Let b be i(-5). Let v be 3\/(-6) + (-9)\/b. Determine n(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 53. Let t(m) = -1137*m. Determine a(t(l)).\nAnswer: 1137*l - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 267711751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-8 + 3 + 1 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssd when three letters picked without replacement from evedwevesseeswv?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -767714.\nAnswer: -23\/383857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -527.\nAnswer: 40\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51575 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69064134 by 69064134.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 509.69718 microseconds?\nAnswer: 0.00000014158255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5858 or -52720\/9?\nAnswer: -52720\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 10:33 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -29, 33 in descending order.\nAnswer: 33, 3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 - 510*u - 59867. Determine n(-66).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.00092454288 + -14.98.\nAnswer: -23.98092454288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 6 = -6*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -13. Let w = 45 - o. Let f = 4.5 - -0.5. Which is the closest to -1? (a) w (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 2*o - 19, 9*u - 4*u + 9*o = 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 424 + -4666\/11. Put d, -75, 0.5, -3 in descending order.\nAnswer: 0.5, d, -3, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 69, 126, 179, 228, 273?\n\"Answer: -2*n**2 + 63*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 130?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 + 5537\/(-196))*11?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-537)\/3 + -2. Let r = -18 + s. Let t = -1619\/8 - r. What is the second biggest value in 1\/4, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -20. Suppose -s*o + 3*k + 4 = -2*k, 0 = -5*k - 10. Let z be -6 + (4 - 2) + o. Let m(u) = u**2 + 7*u + 4. Give m(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -22 + 17 - 17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**3 + 195275*f**2 + 1906323335*f - 5720727615 = 0.\nAnswer: -19529, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 11 = -27, -5*f - 17 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 291592 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8257717, 16515441, 24773165, 33030889?\n\"Answer: 8257724*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(126)\/(sqrt(2)*-2))\/sqrt(9) + 1)*4.\nAnswer: -16 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 123 = 2*q - 123, -3*q = 2*v - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.9 - -5.9. Let l = -74 + 28. Let d = l - t. Which is the closest to -5? (a) 0.1 (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460896409.\nAnswer: 181, 929, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0*q**6 - 2\/21*q**7 + 0*q**3 + 1\/5*q**5 + 2*q + 0*q**2 + 0*q**4 + 0. Factor c(r).\nAnswer: -4*r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77966209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6173 - 283943\/46. Find the common denominator of 34\/161 and c.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27536482 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 89*r - 6. What is the units digit of d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128.14 + -124.14. What is the closest to -1 in x, -4, 0.6, -31?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13600 - -13605.877. Let u = j + 606.923. Let h = u - 564. Round h to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-12)*(12 - 4). Let k be ((-4)\/(-2) - 4)*-1. Let u = w - k. Solve u*t = 4 - 16, t + 3 = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 9*l - 7. Let y be i(2). Solve 0 = -n - 0 - 4, 0 = 3*b + n + y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b0 - -2?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 251037 - 172871. What are the prime factors of g?\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbwbwwwwwffbaabwb. Give prob of picking 1 b and 1 w.\nAnswer: 49\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-18))\/(5\/15). Let j = 0.93 + -0.03. Let o = -0.1 - j. Put -0.3, o, t in decreasing order.\nAnswer: t, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7078, 7135, 7180, 7213, 7234, 7243?\n\"Answer: -6*w**2 + 75*w + 7009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 32*i - 3. Let q = -11508 - -11508. What is o(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1 + (-6)\/90*28. Let c = 119 + -223. Let x be (-42)\/c + (-3)\/12. Is q > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270993907 to the power of 1\/2, to the nearest integer?\nAnswer: 16462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, m: 8, a: 1, b: 1}. What is prob of sequence nm?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/8 and 31\/835615.\nAnswer: 6684920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*p)*(11*p**2 + 3*p**2 - 24*p**2) to the form d*p**3 + f*p + i + u*p**2 and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 4. Let l = j + 10. Solve 14 = 2*n + 5*u, 0 = l*n + u - 4*u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366107 (base 9) to base 4\nAnswer: 311330233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*b, -5*b + 9 = 3*j - 23. Let r(s) = -s**2 + 9*s - 2. Let x be r(j). What is the highest common divisor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1800*(6\/2 + -5 - 2348). Round w to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1100)*-1 - (sqrt(1100) + 0)*-2)*1 + sqrt(1100)*-2 + 3 + 1 + -4)**2*3 + 3.\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 9*r + 12 = 0. Let s(a) be the second derivative of 9\/20*a**4 - 3*a + 9\/25*a**5 + 0 + 1\/10*a**6 + 1\/5*a**3 + 0*a**r. Find m such that s(m) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 11221220120102?\nAnswer: -11221220120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:55 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5193243655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5957117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3804 - -5332. List the prime factors of j.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -6*i + 31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*o - 4 + 18 = 0, -5*o = -20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 2)*4\/8. Let p = 8.535 + -10.535. Which is the third smallest value? (a) 0.5 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 1427*b**4\/4 - 75*b**2\/2 + 884. What is the second derivative of h(c) wrt c?\nAnswer: 8562*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 15*d**2 + 9*d + 3. Let i be f(7). Suppose -i*b = -23*b + 672. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r + 42. Calculate the smallest common multiple of 12 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*p + 12*p**2 - 30*p - 45*p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(91) - (-2*sqrt(91) + sqrt(91) + sqrt(91) - sqrt(91))))\/(sqrt(7) + -4*sqrt(7)*-1))**2.\nAnswer: 832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 6) + -30 + 37.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:03 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -97. Let k be 3268\/114 + ((-10)\/(-12) - 6\/12). Suppose j - k = o. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/10 + -5*6\/150\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 37*t - 7. Let l(h) = 2*h**2 - 79*h - 15. What is -13*d(m) + 6*l(m)?\nAnswer: -m**2 + 7*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 187*c - 88*c - 1 + c**3 - 2*c**3 - 98*c. Let g(l) be the second derivative of l**5\/5 - 2*l**3 + 6*l**2 + 2*l. Give -g(z) - 12*v(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271290 is divided by 269276?\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11830997 and 794?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 14*b**3 + 31*b**2 + 16*b.\nAnswer: -b*(b - 16)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011172419 to seven dps.\nAnswer: 0.0001117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*w = -194570 + 4637042. Is 202 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -315*t + 282. What is u(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 1338 - 2932 = -1374 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6474, -7566, -21606?\n\"Answer: -14040*g + 20514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7122 - -4?\nAnswer: -7119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1359 - 2058. Let v = y - -648. Is v smaller than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85765, 171532, 257321, 343138, 428989, 514880?\n\"Answer: t**3 + 5*t**2 + 85745*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/(l\/l**4))\/(l**(-2)*l*l)**29 assuming l is positive.\nAnswer: l**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1355146 times -8.2\nAnswer: -11112197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 266 + -260. Suppose -23*n = x - 167. Solve -3 = 2*l + n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*10\/(2 - -3). Suppose -a*z = -9*z - 7. Let f = -2 - z. Solve 10 = 5*l - 4*j, f*l - 2*j + 20 = -4*j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, w: 4, h: 1, k: 2, e: 8}. Give prob of picking 2 k, 1 o, and 1 w.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17792325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 7*z + 6. Let n be q(-7). Let m be ((-3)\/n)\/(1\/(-4)). Solve -2 = 4*k + m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*m + 7283 = 0, -43*h = -46*h - 2*m + 7271. Solve -5*j + h - 2386 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -486744 divided by -408.\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 1202887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 at most 544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 - 6*h**2 + 13*h**2 - 7*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -9 + (8 - (-7 + 3 - -18))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(5\/2)*w*w)*w*w**(3\/4)*(w*w**16*w*w)\/(w*w\/(w**(-11)\/w*w)))**(-2\/19) assuming w is positive.\nAnswer: w**(-9\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -264*m + 2. Let g(w) = 2*w**2 + 1273. Determine g(i(o)).\nAnswer: 139392*o**2 - 2112*o + 1281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 divided by 36013?\nAnswer: -143\/36013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-4))\/((-2)\/2). Let o be 16\/6 - (1 + 1). Let d(x) = -x**3 + 2*x**2 + 2*x - 3. Let p be d(1). Which is the closest to p? (a) o (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*f - 130010, 5*i + 5*f + 193660 = -131315. Round i to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1054 = 3*a + 101, 5*a = q - 496. Suppose 4*m - q = 5*i, 352 = 3*m - 0*m - 2*i. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -5\/3*l**3 + 5 - 1\/2*l**2 - l. Give n(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, 209 in increasing order.\nAnswer: -5, -3, 5, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q*q**(-11)\/q)\/q)*q*q*q\/(q**(-8\/7)*q)*(q\/q**3)\/(q**(-12)\/q) assuming q is positive.\nAnswer: q**(190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450152 (base 6) to base 15.\nAnswer: -b252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 m when three letters picked without replacement from {o: 7, a: 2, m: 3}?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**6\/6 + 3*d**5\/4 - 25*d**4\/6 - 20*d**3 + 1810*d. Factor r(p).\nAnswer: 5*p*(p - 3)*(p + 2)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/12 + 0)\/((-2)\/6). Solve a - 2 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 22*u**3\/3 - 15*u**2\/2 - 37*u. Differentiate p(r) wrt r.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.278 - -0.238. Which is the smallest value? (a) t (b) 2\/3 (c) 1\/6 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/2))\/(n**(-2\/3)*n)*(n**(-2\/5))**(-11\/4) assuming n is positive.\nAnswer: n**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1650311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/8, -1436073, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -36*x - 492. What is r(-13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 4*x + 8. Let i be h(3). Suppose 19 = 4*a - 3*g, i*a = a + 4*g + 20. Let 0 - 2\/5*m - m**a - 7\/5*m**2 - 9\/5*m**3 - 1\/5*m**5 = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(405) - (sqrt(405) + 0 + sqrt(405))*-3)**2 + 0 + 0 + sqrt(405).\nAnswer: 9*sqrt(5) + 19847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s - 2, 0 = 5*x + 5*s + 10. Suppose 3 = t - 1. Suppose q + x = -t. Let h(d) = d**2 + 4*d - 1. Calculate h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1425\nAnswer: -1\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58*d**2 + 95*d - 659 wrt d.\nAnswer: 116*d + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 4*l**5 + 0*l**5 + (-3 + 3 + 2)*(2*l + 2*l - 3*l)*(11*l**4 + 5*l**3 - 5*l**3).\nAnswer: 24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.00804+5543.9728\nAnswer: 5543.98084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -65\/3. Which is smaller: -1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14751 - 5?\nAnswer: 14746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, 17, -0.05, -0.4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 192*k - 191*k - 14, v = k - 2 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161472 + -1773572\/11. Let j = r - 238. Which is the third smallest value? (a) -0.3 (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1354, -1, -0.3, 3\/2, -2, 0.1?\nAnswer: 1354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 12 = -6*h. Suppose h*a - a - 8 = 0. Let w = -4 - -7. Put a, w, -1 in increasing order.\nAnswer: -1, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -7.24003.\nAnswer: 7.34003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(((-620)\/5425)\/((-4)\/(-1)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 3. Let s be k(5). Let t(q) = 13*q**2 + 3*q + 2. Let r be t(s). Calculate the highest common factor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/((4 - 1)\/(-6)). Suppose b = 4*x - 0. Suppose -2*l - 1 - x + 6 - 3*l**2 = 0. What is l?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378629046 and 2349.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*p = 579281 + 647473. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 12. Let o(y) = 2*y**2 + 5*y - 1. Let w be o(l). Suppose 3*q - w = 2*n, n = -4*q + 3*n + 52. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/4)\/(-4))\/(2\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13047 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -93332142 divided by -1026?\nAnswer: 90967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -7*c**4\/4 + 14*c**3\/3 + 33*c**2\/2 - 3*c - 75. Is g(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-428835)\/226)\/(6\/(-8))?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 35*x**2 - 308*x + 62. What is the smallest common multiple of f(43) and 84?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 4, p: 2}. What is prob of sequence tccp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - f**5 - f**3)*(6 - 2 - 3)*(-2 - 4 - 9).\nAnswer: 15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 629509 at least 629509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -18*o**3 - 78*o**2 - 69*o. What are the prime factors of g(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**3 - 30*c**2 + 2*c + 2. Let v(x) = -16*x**3 + 91*x**2 - 7*x - 7. Let t(k) = 7*g(k) + 2*v(k). Find the third derivative of t(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 38 + 12 + 0 + (-4 + 4 - 2)*(-4 - 2 + 2))*(3*i + 2*i - 2*i).\nAnswer: -135*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 21 - 3 = 5*n, 5*n - 10 = 0. What is the units digit of 6\/(-24) - 186\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssksssgssss. What is prob of picking 4 s?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -4*z**3\/3 + 7*z**2\/2 - 46*z - 3. Give i(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - p + 52 = 60, -2*q - 2 = 4*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2\/9, -11, -6.\nAnswer: -11, -6, -5, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1314780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15971\/8 - -1991. What is the common denominator of 7 + -10 + 507\/18 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let o(p) = -9*p**2 + 109*p - 1048. Determine i(o(b)).\nAnswer: -9*b**2 + 109*b - 1048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 3*z**2 + 6*z - 4. Let n be i(8). Let k = n - 140. Suppose 411 = 5*l - k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72407 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: Let o(n) be the first derivative of -n**2\/2 - n - 1. Let u(z) be the second derivative of z**2 + 153*z - 1. Let x = -19 - -17. Calculate x*o(s) - u(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(128) + -2*sqrt(128)*-1 + (sqrt(128) - -3*sqrt(128)) + 1 + 4)*-1)**2.\nAnswer: 2240*sqrt(2) + 25188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2886 = -p, -5*p - 1444 = -2*h - 4*p. Is 13\/91*h\/2*158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*l - 19 = 39, -d - 4*l - 2 = 0. Calculate the remainder when 39 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (28 - 20) + -78 - -13 - (-8 - 0).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 416\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -99, -96, -95, -96?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10430 + 1340140?\nAnswer: 1324210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -98*d + 31. Let w(o) = -2. Let h(c) = -m(c) - 2*w(c). Is h(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8420192 and 29\/8360.\nAnswer: 42100960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29241.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 382 - 1529\/4. What is the smallest value in v, 0.2, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z + 53*z + 3 = 5*v, 3*z = 5*v - 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2306?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -2\/3184023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*x + 249, -2*p + 90 = 2*x - 406. What is the greatest common factor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*y + 104*m**2 + 8*m - 148912*y + 3 with respect to y.\nAnswer: 2*m**2 - 148912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/7 + 36*f**2\/7 + 64*f\/7 + 30\/7 = 0. Calculate f.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(1 + 21\/(-15))*-125. Solve y*o - 8 = 102*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*s = 25, 2*g - 2*s + 12 = 3*g. Suppose 4*i - g = 14. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + 0 + sqrt(72))*-2)**2.\nAnswer: -3600*sqrt(2) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89524 = 3*o - 5*n - 65837, -n = 3*o - 155361. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.594128 litres to millilitres.\nAnswer: 9594.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*a - 17, 2 + 5 = c + 2*a. Let k(o) = 10 - 9*o - 10*o + 21*o. Let f be k(-6). Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -53*i - 2226. Let p be j(-42). Which is bigger: -1\/1236 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 128*p**3 - 3*p**2 - 310 wrt p?\nAnswer: 384*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-8)\/(-18))*5\/30\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 1, e: 4, n: 3}. What is prob of picking 1 t and 1 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*3\/153*126\/84*2?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-56)*(-6)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 16 = -9*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0566077 times 30\nAnswer: 1.698231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -70*-128\nAnswer: 8960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8650*o**2 + 8650*o**2 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -38*s**2 - 3*s - 16. Let f be g(-8). Let a = f - -5524. What is a rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18712041 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 - 84.4. Let u = r - 12. Put 2\/13, 0.5, u in descending order.\nAnswer: 0.5, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124496 + 4\nAnswer: 124500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3979155 + -3979155.16000015. Let s = d + 0.16. Round s to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -14, -20, -26?\n\"Answer: -6*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/(10\/(-75)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6546*b - 5611 + 1928 + 13085*b - 6540*b.\nAnswer: -b - 3683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97879\/123 - -796. Let h = k - -2650\/1107. Find the common denominator of 49\/69 and h.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*s**3 + 509*s + 505*s - 1517*s + 2*s**2 + 503*s.\nAnswer: 48*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q + 40. Let f = q - 3. Suppose 0*o - f = -o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*x**2 - 187*o**2 + 291837*x**3 - 5*x + 151 wrt x.\nAnswer: 4*o**2 + 1751022*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjf when three letters picked without replacement from gfgfffgkgggwjfffgfkj.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-9)*1\/(2\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8482 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.49 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 10 - 4)*(3*y**2 - 2*y**2 + 3*y**2 + 3*y**2) + (7*y - 3*y + y)*(-4*y + 2*y + 6*y).\nAnswer: 146*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2535, 2450, 2307, 2106, 1847?\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -j + 5*t, 0 = 25*j - 3*t + 182 - 147 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 9*j + 20. What is the lowest common multiple of n(0) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*x + 1 = -331*x. Let v be (-5)\/(25\/(-20)) - (-41997 + x). Round v to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992983 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 10:21 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 203\/(-58)*(-3)\/3.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6959.834nm?\nAnswer: 0.000000006959834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 - 4 = 0. Let f(k) = -k - 1. Let t be f(-5). Solve -g = m - t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - y**3 - 5*y**3)*(-40 + 19 + 67*y**2 + 196*y**2 + 21).\nAnswer: -789*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1147302 divided by -19\nAnswer: -1147302\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - c - 15 = -6*b, 4*b - 23 = 3*c. Find the second derivative of -2*k**2 + 46*k - k**b - 32*k wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-10))\/((-2)\/30 + 0). Suppose -12 = -n + m - z, 5*m = 0. Which is the closest to -0.1? (a) -0.3 (b) -3\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 + 0 = 2*j, -3*m + 22 = 2*j. Let f = 474 + -455. What is the remainder when f is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(231)*-5)\/(6*sqrt(11)*2))\/(1*(sqrt(75) + (4*(sqrt(75)*-2 - sqrt(75)) - sqrt(75)))) + -1.\nAnswer: -1 - sqrt(7)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**4\/(f*f**4))\/f**(-18))**(8\/5))**(-6\/23) assuming f is positive.\nAnswer: f**(-816\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**2 - 200*j - 12*j**2 + 27*j - 3*j**2 + 8*j**2.\nAnswer: -29*j**2 - 173*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) 9 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-850)\/(-10540)*5\/(-25)*-2*2.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {e: 10, u: 1, x: 4, i: 1, r: 4}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 10*s**2 - 14*s - 3. Let h be (22\/(-4))\/((-8)\/(-16)). Let z be a(h). Suppose -z = -f - 0*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -4*j - 139, 5*w + 4*j - 1745 = -1886 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - u - 58 = 0, 0*y + 3*y = -2*u + 40. Let d(t) = t**3 + y + 2*t + 7*t - 6*t**2 - 6*t**2 + 2*t**2. What is the tens digit of d(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = 2*v, v + 4*i + 8 = 5*v. Let x = -14705 + 14708. Solve -x*w + v*a = -10, 14 - 2 = 4*w - 5*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e9da + 6?\nAnswer: -8e9d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3281, -6586, -9919, -13274, -16645, -20026, -23411, -26794?\n\"Answer: j**3 - 20*j**2 - 3252*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 10. Let d be v(-10). Let z(c) = c**3 - c**2 + c + 4. Determine z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 74*i + 33 in the form p + h*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66987749 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 63*d**2 + 506*d + 14. Let h be t(-8). Let u(w) = -w - 1. Let p(q) = 5*q**2 + 2*q + 3. Calculate h*u(g) - p(g).\nAnswer: -5*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1008, -2.\nAnswer: -1008, -2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5689.768l?\nAnswer: 5689768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003139820452 rounded to 6 dps?\nAnswer: -0.00314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301530 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18039312 and 265284.\nAnswer: 18039312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (8 + -9)) + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**(-7\/6))\/v))\/(v**10\/v))\/(v**(4\/5)*v)**46 assuming v is positive.\nAnswer: v**(-2759\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**8\/30240 - x**7\/11340 - x**4\/24 - 3*x**2. Let h(m) be the second derivative of w(m). Factor h(d).\nAnswer: 2*d**2*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.37, 1\/4, -0.3, 5?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m\/m**16))*m)\/((m*m**(-1))\/m*m) assuming m is positive.\nAnswer: m**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96*t**2 + 176577*t + 147804627?\nAnswer: 192*t + 176577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421562 is divided by 242?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1337.5 and 270?\nAnswer: 1607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = -i - 7, 7 = c + i. Let r(v) = v**3 + 3*v**2 - 13*v - 42. Let o be r(-3). Let q = -4 - -7. Put o, q, c in descending order.\nAnswer: c, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.5, 0.8, -4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w**2 + 9*w - 31. Let d be k(-3). What is the highest common divisor of d and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1663259 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 897*m - 208 wrt m.\nAnswer: 897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {t: 10, y: 2, o: 1, x: 2, i: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/360 + 10*b**3\/3 + 15*b**2. Let o(t) be the first derivative of n(t). Let f(m) = 26*m**2. What is f(o(v))?\nAnswer: 26*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 627821729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2045 + 4089 - 35*a + 6*a - 2044 - 183*a**2.\nAnswer: -183*a**2 - 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -66. Suppose 574 - 206 = 4*m + c*y, -5*y = -4*m + 350. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 + 283*c - 6. Let s(x) = 5*x**2 - 282*x + 8. What is -3*f(n) - 2*s(n)?\nAnswer: -n**2 - 285*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*((2*sqrt(1700) - sqrt(1700))*-4 + 2 + 0))**2.\nAnswer: -6240*sqrt(17) + 979369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15480499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = 0. Suppose -m + 4*m - 33 = k. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102 (base 3) to base 11\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 9:50 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.362 + 0.038. Let j = -88 + 55. Let k = j + 33.01. Put h, -3, k in decreasing order.\nAnswer: h, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiiaiiiaii. Give prob of picking 3 i and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 23.\nAnswer: 18\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - (2 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13683426619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 61 + 13. Let c be 6\/4*j\/12. Is c - (-6 + 5 - 17) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042451789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 2 - sqrt(833) - 1*sqrt(17)*-4)**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 525 = -5*z - 4*j, j = 4*z + 397. Let y be ((-4 + z)\/(-2))\/(-1). Let t = -32 - y. Calculate the remainder when 34 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) + (-14)\/(-28). Which is the fourth biggest value? (a) 4 (b) u (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2992911815 - 8.6006\nAnswer: -2992911823.6006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**2 - 402*n - 3634. What is l(-13)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-62)\/93)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 - 4*h**2 + 4*h + 31. Let f(l) be the first derivative of l**4\/2 + l**3 - 3*l**2\/2 - 21*l + 5. Let z(b) = -7*f(b) - 5*p(b). Give z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10) + 1)\/((-2)\/(-10)). Suppose -n = -8*t + 11*t. Is 10\/((-10)\/3) + (-202)\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 245 - 141. Let j = -150 - m. Let a = j + 254.0133. What is a rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 45*h + 38 = 0. Let v(x) = x**3 + 20*x**2 - 23*x - 42. Let a be v(-21). Put a, h, 3\/5, -2 in increasing order.\nAnswer: -2, a, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15577 + 31968. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**7\/1050 - 41*l**6\/600 - 7*l**5\/60 + 197*l**4\/120 - 4*l**3 + 336*l**2 + 2*l + 1. Factor v(s).\nAnswer: -(s - 1)**2*(s + 3)*(s + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajyuiju. What is prob of sequence jia?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -12*b**3 + 2*b**2 - 20*b + 22. What is the hundreds digit of m(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/857 and 35\/10284?\nAnswer: 10284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125236 is divided by 153.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-795)\/(-9)*((-18414)\/155)\/(-99)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 5ed?\nAnswer: -5ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/236208*1988 - (-8)\/76.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19526193 is divided by 219.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 15*a - r - 153 = 21*r, -5*r - 39 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -2 + 0 - 3. Is (-895)\/(-10) + 1\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 b when four letters picked without replacement from {p: 3, k: 1, b: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3 + sqrt(1100) - (sqrt(1100) + 2 + sqrt(1100) + 5))*5)**2.\nAnswer: 2000*sqrt(11) + 27900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -15643703.\nAnswer: -1\/15643703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83423 or -83252?\nAnswer: -83252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 62 + 20 + 443*q + 18.\nAnswer: 443*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-42107)\/2132 - (3\/(-4))\/1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 146, -7.\nAnswer: -7, -4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575650?\nAnswer: 2, 5, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -452. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 67 + 2\/((-4)\/6). Let c be l\/(-40) - (-4)\/2. Let i = -0.121 + 0.121. Which is bigger: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-21)\/28*6 - -3). Put 4, -1, -2, w in increasing order.\nAnswer: w, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 1. Let u(c) = -7*c - 2. Give -5*g(a) - 3*u(a).\nAnswer: 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h**2 - 8*h + 54. Let i be k(-7). What is the highest common divisor of i and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*m - 25274 = -3190 + 6056 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34087 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 - 1*2\/12. Let w = 446 + -445. Which is the second biggest value? (a) -11 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 2:29 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 0. Let s(c) = -2*c - 1. Let o(a) = 3*a + 1. Suppose -4*b = 5*u + 680, -b + 655 = -3*u - 2*u. Let d = u - -129. Calculate d*o(j) + p*s(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1763*o**2 + 4279 - 4279)*(6*o - 2*o - 2*o).\nAnswer: -3526*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7196 and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268732232.\nAnswer: 2, 163, 206083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*z**2 - 285*z**2 - 160*z**3 - 794*z**3 wrt z?\nAnswer: -5724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - 5*g)*(3*g**3 - 3*g**3 + 2*g**3) - 12*g**4 + g**2 + 177 - 380 + 107 + 108.\nAnswer: -16*g**4 + g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 15887 + 1333. Suppose 0*r + n = r. Suppose -4*b + 1250 = -r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**7\/2100 - n**6\/300 + n**5\/100 - n**4\/60 - n**3\/3 - 3. Let y(q) be the third derivative of j(q). Factor y(r).\nAnswer: 2*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 369. Suppose 4*l + l = c + w, 4*l - 2*c = 250. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31817*t - 16261*t - 16914*t)*(-12 + 12 + 9*t**4).\nAnswer: -12222*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 330*q**2 - 1. Let f be (-6*3)\/(-6) + -4. What is the tens digit of b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 6 - 86. Calculate the remainder when q is divided by (14 - -1) + 1*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 + 10*j - 11. Let u be r(8). Suppose z + z = a + 4, -u*a + 5*z = -5. Factor 4*d - 28 - 22*d - a*d - 3*d**2 - 20.\nAnswer: -3*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + k. Let f(q) = 85*q**2 + 2*q - 2. Calculate -2*d(j) + f(j).\nAnswer: 83*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:48 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 1.2. Let u = -7715\/15422 - -2\/7711. Which is the smallest value? (a) 3 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:32 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 185123 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -y + 18, 4*s - s = -5*y - 2. Suppose 474000 = m + y*m. Round m to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*v - 650*v + 746 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209 + -196. Suppose 5 = -l*c + 109. Solve -4*a + 19 = -3*t, a + c = -a - 2*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 1.2, -0.5, -2\/7?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**5\/60 - 13*k**4\/24 - 3*k**3 + 3*k**2. Let p be x(14). Let v = -1 - p. Solve v*d + 3 = 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58, -197, -458, -865, -1442?\n\"Answer: -4*f**3 - 37*f**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*n - 8*n. Let h be -2 + 4 + n + 17. Let r(j) = -j + 19. Let u be r(h). Which is the smallest value? (a) 0.4 (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37393888633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-71)\/(-3) - ((-19)\/3 - -5). What is the greatest common factor of 225 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/9*(-36)\/16. Let l = p - -6. Solve 5*m + 16 = -3*g + 5*g, 5*g - 15 = l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(13) + 5 - (0 + sqrt(117)))*1*6)**2.\nAnswer: -420*sqrt(13) + 1693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -12, 319, -2.\nAnswer: -12, -2, 14, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7277 less than -1?\nAnswer: -7278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8294 millilitres in litres?\nAnswer: 0.0098294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -151*u**3 + 2*u**2 + 7*u + 3. What is q(-1)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12407\/(-28732) - (0 + 6\/(-33)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42217104023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*t - 1683 = -3*t + 15*t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -4*t + r, 37*t + 26*r - 29*r = -0*r - 367 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 867 + -525. Let o = z - 336. Solve -j - 4 = 3*j + 4*q, -2*j + 2*q = -o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2020443111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81054019*o**3 - 258576848*o**2 wrt o?\nAnswer: -486324114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*t - 60 = 0, 2*t + 1 + 1 = 0. Let i = 33 - n. Let f = 28 - i. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 2*n**2 - 3*n**2)*(14 - 107 - 161).\nAnswer: 254*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 2*s + 12. What is d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13677 is divided by 806?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -2, 0.4, -0.7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/1 + 20 + -17. What is the highest common factor of 46 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + -376?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 406 = 434. Let a be (181899940\/m + 2)*(-1 - 2). What is a rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44376647 to the power of 1\/2, to the nearest integer?\nAnswer: 6662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -0.035, 4, -0.3?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.15 + 0.15. Let d = 30.1 - 222.1. Let p = -192 - d. What is the closest to x in 0.1, p, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4 + 1 + 15*u - 4. Calculate the remainder when w(4) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/10*(-2)\/(-1). Let b(u) = -5*u**2 + u + 8. Let f(l) = 4*l**2 - l - 6. Let z(t) = 3*b(t) + 4*f(t). Let p be z(d). Which is smaller: 11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*b + 4. Let s(f) be the second derivative of f + 0 + 1\/6*f**3 + 1\/2*f**b. Let c(r) = 4*r + 4. Give 3*c(p) - 10*s(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:29 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26717768.\nAnswer: 2, 7, 11, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, 59, 253, 659, 1355?\n\"Answer: 13*y**3 - 11*y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18350 (base 9) to base 14\nAnswer: 489b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -52203520 (base 6) to base 13\nAnswer: -40b036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-188*q**4 + 4882*q**4 - 2644*q**4)*(0 + 4 + 0) as w*q**3 + g*q**4 + a + b*q + d*q**2 and give g.\nAnswer: 8200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 244238*q + 244238*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2 + 4468*u + 2495378 = 0. What is u?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*g**4 - 30*d*g**2 - 2*d*g - 5*d - 3*g**4 + 3 wrt g.\nAnswer: -24*d*g**2 - 60*d - 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1109, 1696, 2283, 2870, 3457, 4044?\n\"Answer: 587*z + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 + 5*p**2 + 3*p + 5. Determine w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4)*-1*2. Suppose -a*p - 237 = -96. Let i = 64 + p. Calculate the remainder when i is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25634*k*v**4 - 173626*k*v - 9*k - 5*v**4 wrt v.\nAnswer: 307608*k*v**2 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o\/o**(1\/4)))*o**(1\/2)*o*o*o**(-5)\/(o\/o**(-3\/4)*o) assuming o is positive.\nAnswer: o**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 19*c**2 - 382*c + 43. Let f be t(20). Solve 68*k = -5*q + 73*k - 5, 0 = f*q - 2*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*i**2*j*y + i**2*j - 2*i*j + 23*i*y - 834*i - 2*j*y + 3*j + 2*y with respect to y.\nAnswer: -25*i**2*j + 23*i - 2*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 28 + -59 + 34 - 37\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -37440*i - 1010863. Determine z(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 9*m - 24. Find the third derivative of g**3 + m*g**3 - 9*g**3 - 6*g**2 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8932257 is divided by 817.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 8) in base 5?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 908 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*5724\/1431\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 2. Let x be 9*4*z\/(-8). Suppose 6*o = 3*h + o - 42, -5*h = -2*o - 51. What is the greatest common divisor of h and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4546, -18513, -41930, -74803, -117138?\n\"Answer: -r**3 - 4719*r**2 + 197*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*j = 9, 5*l - 13 = j + 14. Suppose -416 = h - l*h. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 18 = -0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4. Let s be (1 - 0)\/((-4)\/12). Let m(l) = -71*l + 34. Let d(r) = 13*r - 7. Let x(z) = -11*d(z) - 2*m(z). What is s*x(h) - 7*k(h)?\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a + 45*a - 18*a + 31*a**2 - 16*a as k*a**2 + p*a + m and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 15, z: 3}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 149*j**3 + 5*j**2 + 10*j. Let v(m) = 74*m**3 + 3*m**2 + 6*m. What is 3*l(n) - 5*v(n)?\nAnswer: 77*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5621173*x**2 + 29378402*x wrt x?\nAnswer: -11242346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23 (b) 0.4 (c) 0.1 (d) 1 (e) -0.4 (f) 2\/13 (g) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n - 21*n**2 - 14*n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*q**5 - 240*q**3 + 4*q**2 - 11*q - 119864 wrt q?\nAnswer: 1140*q**3 - 1440*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6896899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 569\/90624 + 2\/177. Find the common denominator of h and -91\/1408.\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 5. Let q be f(-5). Suppose q = -d - 3 + 5. Solve 5*t + d*l + 13 = 0, 2*t + 3*t - 5*l = -20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.24 and 0.026.\nAnswer: -0.03224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263638?\nAnswer: 2, 193, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 19*q - 14. Let a be m(18). Factor -7*d**4 + 3*d**4 + a*d**2 - 2*d**3 - 9*d**5 + 11*d**5.\nAnswer: 2*d**2*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - f**4)*(-3 + 2 + 5)*(-85*f - 21*f - 89*f).\nAnswer: 780*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4237 divided by -1?\nAnswer: -4237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/833106 and 107\/108666?\nAnswer: 2499318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 240552027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((8\/64)\/((-28)\/28)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s + 225 = -14*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8614*g - 48839*g + 39239*g - 81260*g.\nAnswer: -99474*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 10. Let x be r(10). Suppose 3*o - 15 = x, 2*o = 2*b + 5*o - 299. What are the prime factors of b?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 26*a + 3191. Give z(-92).\nAnswer: -7665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*x + 21 = -9, -2*b - 5*x - 15 = 0. Let i = b - 3. Calculate the remainder when i is divided by 2\/6 - 5\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvvnnvnnvfnvnnvnn. Give prob of sequence vfvv.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*c = 152*c - 1029 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*l, -4*l = 4*a - 12. Suppose j + 3609444 + 6990556 = a. What is j rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -5*c**2\/2 - 1. Let h be 32\/16 - (1 - 1). Let q(r) = h*r + 218 - 218. Determine q(a(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, 4, 0.07, -1\/3, 44, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/35 and -71\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0*t + 132. Is 136\/6 - (-11)\/t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0.6. Let w = -12.6 + b. Suppose 8*c - 13*c - 25 = -3*a, -4*a + 5*c + 25 = 0. Are w and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5264 is divided by 1190.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -398816*t**3 - 1371718?\nAnswer: -1196448*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -225363.45 greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11480 - -5?\nAnswer: -11475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54206 + 60351 - 124804)*(-4*v**2 + 2*v**3 + 4*v**2) to the form w + a*v**2 + y*v + n*v**3 and give n.\nAnswer: -20494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 2. Let h be c(4). Let u = h - -18. Suppose -u*q + 3*q + y + 17 = 0, -6 = -2*y. Solve -2*l = -q*m - 10, 5*l + 10 = 2*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(50\/(-150))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*s + 565079 = -93*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29421 and 9.\nAnswer: 29421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 10*y + 10*y. Find the common denominator of -68\/273 and y.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/36 and -67\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 4. Let q = 0.026 + 0.074. Let o = -124\/85 - -18\/17. Which is the nearest to q? (a) v (b) o (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2431317523?\nAnswer: 2431317523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77807415 is divided by 51?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*l + 1537 + 2192 = 693. Solve -4*b - 24 = -l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 17. Let z = -248 - -372. Does 16 divide 5\/15 - z\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1035, -2052, -3067, -4080, -5091, -6100, -7107?\nAnswer: -8112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.052294 - 0.548181. Let c = 0.6 + g. What is c rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7807, 7772, 7669, 7462, 7115, 6592, 5857, 4874?\nAnswer: 3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 92*p**2 + 382*p + 142. Give t(96).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5 - 3) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 6. Let n = -25 - -49. Let z be ((-4)\/16)\/((-3)\/n). What is the highest common divisor of d and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 6*u**2 + 5*u + 2. Let i be c(5). Let d(b) = 2*b**2 - 5*b**2 + i*b**2 + 7*b. What is the units digit of d(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66441, 265753, 597939, 1062999, 1660933?\n\"Answer: 66437*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 + 96*m + 169*m + 4 - 4 - 265*m.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 19*k - 63. Let l be r(22). Suppose 0 = 2*x - 5*f + 11, 5*x - 8 + 1 = f. Suppose -2*g + x = 4*q, 0 + 2 = 2*g + 5*q. Solve u + l = -g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9076.96211 - 9077. Round w to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 + -110 + (-1 - (1 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -129522?\nAnswer: -5\/129522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/21 and 62\/52433715.\nAnswer: 367036005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18006 > 2363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Suppose 5*d = -i - o, 3*i + 13 = -2*d - 2. Suppose -3*c + 17 - 2 = d. Is 4 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48202*s**4 - 17*s**3 + 15441818*s wrt s?\nAnswer: 578424*s**2 - 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/s**15))\/s)\/s)\/s**(-35))\/(s**(-26\/7)\/s*s*s*s**(17\/2)) assuming s is positive.\nAnswer: s**(591\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 8*y**2 + 9*y + 16. Let l be f(7). Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 830*q. Let t(f) be the second derivative of -f**3\/3 + f - 1399. What is b(t(d))?\nAnswer: -1660*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3459505077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 84*f + 140. Solve -r - 2 = -f*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 195 = 5*j. Let c(w) = w**2 + w**3 - 2*w**2 + 9 - 4 + 0*w**2 - w. Let b be c(0). Solve -4*m + j + 1 = d, 0 = b*m + 5*d - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1349554 - -2843.46071.\nAnswer: -1346710.53929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1017 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489786829.\nAnswer: 269, 5538241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.75*-0.04.\nAnswer: 2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 2 + 3 + 11. Suppose 14*i = 6*i - 96. Let m be n(i). Solve -3*g - c - 18 = m, 3*c - c = -6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from kfkfjkffffkkfjf.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -137. Let v = -113 - o. Which is the second biggest value? (a) 2 (b) -2 (c) -1\/3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3521 - -3524. Factor 2*k**4 + 11\/2*k**2 + 0 - k - 13\/2*k**j.\nAnswer: k*(k - 2)*(k - 1)*(4*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 174.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.774706 + -24.0198133.\nAnswer: -23.2451073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 537543 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:49 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 11*w + 35 = -8*w - 14*f, 0*w - 5*w + 8*f = -59 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04075 + -0.44075. What is the closest to -1 in -1.2, i, 0.5, 0.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46168*d = 46058*d + 330 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0383 - 0.1827. Let i = -0.0934 - 0.1167. Let n = m - i. What is n rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -20. Suppose -15 = -5*t + n, 0*t - t = -u*n - 27. What is the third smallest value in 4, -2, -9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1673*y + 2. Let a be g(3). Suppose -2828 - 528 = -2*l - 5*v, 0 = 3*l + v - a. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, j: 2, k: 12}. What is prob of sequence zzk?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/71077 (c) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 8 = 4*y - s, -2*y = 3*s - 13. Factor 0*p + 1\/2*p**2 + 0 + y*p**5 - 7\/2*p**4 + p**3.\nAnswer: p**2*(p - 1)**2*(4*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6585, 6602, 6635, 6690, 6773?\nAnswer: 6890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21100111222 + 220?\nAnswer: 21100112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-1)\/6*1)\/(8\/(-96)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/4 - 28449\/(-116) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let g be l(4). Suppose -25 = -0*z - 5*z - 5*d, 0 = 5*d. Solve 0 = 3*b + p + z, -b - g*p + 0 = 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1319292, -1319193, -1319034, -1318821, -1318560, -1318257, -1317918, -1317549?\nAnswer: -1317156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2. Put g, -0.3, -1\/4 in descending order.\nAnswer: g, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6212 - 1172 - 5153 + 3395)*(d + d - 5*d).\nAnswer: 27426*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58025 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438.8 - -439. What is the nearest to -1 in -2, t, 6\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49823081635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -14*s - 1. Let c(j) = -j. Let p(l) = -6*c(l) - x(l). Let w(o) = -11*o**2. Calculate w(p(h)).\nAnswer: -4400*h**2 - 440*h - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x**3 - 2*x + 1. Let a = -219 - -220. Give t(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 10:33 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {y: 3, w: 2, t: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 0.2, 0.13, -19964, 0.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3\/2*p - 3\/2*p**2 + 3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11077*i**2*v - 2*i*v + 2*i - 67*v - 137 wrt i.\nAnswer: -22154*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.569298 to the nearest integer.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -60 + 111\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5325938.536 + 1.56?\nAnswer: 5325940.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 + 123 + (6 - 37)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**2. Suppose -16*j = -15*j - 2. Let o(n) = 2*n**2 - 2*n**2 - n**j. Determine o(v(s)).\nAnswer: -49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 297626784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10638164 or -10638165?\nAnswer: -10638164","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -37860 - -37887. Solve -5*s - 40 = 4*p, -3*p - b = s - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5185 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17) - -6*((sqrt(17) - sqrt(51)\/sqrt(3))**2 - sqrt(17) - sqrt(17))) + sqrt(17) + (sqrt(68)\/sqrt(4)*-6)**2 + 3.\nAnswer: -10*sqrt(17) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116248*j = -3*a - 116243*j + 29, 5*a - 25 = 5*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-45))\/(45\/27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 709087 and 160548?\nAnswer: 8509044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k + 0 + 2*k**2 + 7\/60*k**5 - 1\/120*k**6 - k**3 - 1\/6*k**4. Let a be 4 - (-4 + 4 + -2). Calculate n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35073 and 2165?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3470, 0, -55200 in increasing order.\nAnswer: -55200, -3470, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 2*j - 4*j + (-3 + 4 - 2)*(3*j - 3*j - j) + (-4*j + 5*j - 2*j)*(1 + 1 - 1) - 413 + 413 + 15*j - 6*j + 2*j + 2*j to q*j + k and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.36 + -1.26. Let x = i + -59. Which is bigger: -2.6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103589341 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7d (base 15) to base 14\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) + (sqrt(242) + 1 - sqrt(242)))) + 3*sqrt(2) + -2)**2.\nAnswer: -18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9507 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13126, -26270, -39464, -52732, -66098, -79586, -93220, -107024?\nAnswer: -121022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025999038 rounded to six decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-two fifths of a microgram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-20))\/(486\/(-270)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -308.9 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -25 in increasing order.\nAnswer: -25, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, -197, -539, -1017, -1631, -2381, -3267?\n\"Answer: -68*q**2 - 2*q + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10331 is divided by 5101?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -68*z**2 - 6671*z - 688. Determine b(-98).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**3 + 31989*m**2 - 19*m + 2584025?\nAnswer: -3*m**2 + 63978*m - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 6. Let v(u) = -u**2 + h + 10*u + 2 - 2. Calculate the remainder when 29 is divided by v(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.882134 centimeters to nanometers.\nAnswer: 48821340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/168 and 25\/3.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-11\/3))**(-9)\/((((((s**(-1)\/s)\/s)\/s)\/s*s)\/s)**(1\/9)*(((s**(-4)\/s*s)\/s)\/s)\/s**(-2\/15)) assuming s is positive.\nAnswer: s**(289\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5639621582 and -63080.\nAnswer: 5639558502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5, -2, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144210 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6120 is divided by 1208.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -550976 divided by 8.\nAnswer: -68872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r - 10*r - 2*i - 42, -17*i - 297 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) -4\/19 (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h - 3. Let u(c) = 16*c - 10. Let r(m) = 10*g(m) - 3*u(m). Let d(t) = -2*t**2. Calculate d(r(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3075308l in millilitres?\nAnswer: 307.5308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -2117.1\nAnswer: -211.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:14 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2261*b - 2*b**2 - 2257*b + 0*b**2 - 6. Let g(n) = n + 1. Calculate c(a) - 4*g(a).\nAnswer: -2*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10846.67 and -907267440.\nAnswer: -907256593.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 1011072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474318 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h**4)**(-42)\/((h*h**(-1\/4))**(-7\/4)\/(h\/h**2*h*h*h**(-1\/6)\/h*h)) assuming h is positive.\nAnswer: h**(-5945\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x - 2. Suppose -1728*l = -1726*l - 5*f - 3, 5*l - 4*f = 16. Let h(d) = -13*d - 4. Determine l*h(q) - 7*o(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 918.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4049268 is divided by 289233.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/18)\/(((-3)\/(-9))\/(-1))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6055550 (base 7) to base 12\nAnswer: 2a8732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 + 3.516. Let t = o + -48.116. Let f = -47.5 - t. Which is the closest to 4? (a) -2\/5 (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*-1*(32\/360)\/(-2)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 + 3*j + 9. Let v(z) = 3*z**2 + 4*z + 8. Let i(s) = -5*v(s) + 4*x(s). Calculate the remainder when i(10) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35.3 - 39. Let f = g + 3.69882. Round f to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**5\/2 - 989*p**4 + 138893*p**3\/2 + 2486602*p**2 + 18223546*p + 6896032 = 0.\nAnswer: -16, -11, -2\/5, 137, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 g when three letters picked without replacement from {f: 5, v: 2, g: 3, q: 7}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2093 = 23*k + 126*k + 12*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*c - 187*c - 121*n = -90*c + 247, 4 = 2*c - 3*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/4)\/((-4)\/16). Let k(m) = 26954*m + 70. Let t be k(r). Round t to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28728*d**2 - 2384*d + 4 wrt d.\nAnswer: -57456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.4. Let r = s + -0.2. Let v = -14925 - -14928. Sort 0.1, v, -0.4, r.\nAnswer: -0.4, r, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-24)\/(-45))*(-24)\/(-1). Let o = 1 + -1. Let v be 10 - o - 0\/1. What is the highest common factor of v and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 37 = -8*a. Suppose a + 50 = 3*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/4*(6 - 5). Let x = k - -15. Solve 0 = 2*n + x*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 p when four letters picked without replacement from {g: 5, n: 2, p: 3, y: 7}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2191454 is divided by 1095724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 20*m - 18*m. Suppose -4*c = m*c - 150. Suppose -5*t = -32 + 7. What is the highest common factor of t and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*m**4 - 36 + 34 + 4*m**2 - 35*m**4 to the form p + y*m**4 + j*m**3 + t*m**2 + c*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-13) + (-168)\/2106. Is 0 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/13 and 44\/12059.\nAnswer: 156767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*g - 2*u + 11, -u = -3*g + 16. Which is the nearest to -2? (a) g (b) 18\/11 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 + 2126*p\/15 - 8536\/15.\nAnswer: 2*(p - 4)*(p + 1067)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38825, 38852, 38879?\n\"Answer: 27*p + 38798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 2*t = 0. Suppose 7*z - 3*z - 952 = t. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1430241421 + 20?\nAnswer: 1430241441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80009703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r - 6*r - 2*r. Let b(p) = 10*p - 6. Let i(t) = -29*t + 17. Let s(z) = -17*b(z) - 6*i(z). What is s(x(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 3, 15, 29, 45?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1694*k**2 - 562*k**2 - 578*k**2 - 565*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 4. Let m be 5\/10 - (-22)\/(-4). Give p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/36 and 67\/399.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -38 - (10 + -3 - 0)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 16.5 (c) 0.4 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -17.7. Let o = y + 2. Let i = 2.95 + 0.05. Put o, 5\/2, i in increasing order.\nAnswer: o, 5\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, x: 2, l: 5}. Give prob of picking 1 f and 2 l.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-9))\/((-1)\/3). Let t = 0 - 1. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1890)\/(-450))\/((-1)\/25). Sort 11, -4, h in decreasing order.\nAnswer: 11, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 514 by -264407.\nAnswer: -514\/264407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9980294 microseconds in seconds?\nAnswer: 0.0000009980294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(5\/(-20)). Let j(s) be the first derivative of 2\/3*s + 2\/3*s**p - 1 + 2\/9*s**3. Factor j(c).\nAnswer: 2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 1 + -2037 + 1999?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5a517 (base 12) to base 8\nAnswer: 355543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3720 and 14?\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6714 - -6844. Solve -2*z = -2*u - p + 128, 6 = -3*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -620114 less than -620113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvrqrenejerrrre. What is prob of sequence qnr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -44*v - 217. Let p be n(-5). Which is the smallest value? (a) -35\/4 (b) p (c) 2 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/3)\/((-32)\/(-48)). Put 1, -2, z in ascending order.\nAnswer: z, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.95 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5453 - -5450. Let i = -2.05 + 0.05. Which is the second smallest value? (a) 0 (b) i (c) -0.1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10550, 1 in ascending order.\nAnswer: 1, 4, 10550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c**3 - 3*c**3 + 19*c**3 + 6*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l - 106 + 113*l**2 - l - 107*l**2 - 11*l**3 wrt l.\nAnswer: -66*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17) - sqrt(17))**2 + 0 - (sqrt(102)\/(sqrt(6)*1) + sqrt(17)) - (sqrt(204)*3*-4 + sqrt(204) - sqrt(204))\/sqrt(12).\nAnswer: 10*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 8 + b - 15*b**3 - 9 - 27*b**2 + 12*b**2 + 16*b**2 in the form k + d*b**3 + z*b + u*b**2 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a - 1)*(-1 - 3 + 2)*(-10704 + 10704 - 553*a)*(1 + 5 + 2).\nAnswer: -17696*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -55. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-23))\/r)**(2\/9)\/(r\/(r*r**(-3\/4))*r)**(-1\/50) assuming r is positive.\nAnswer: r**(-9137\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 117 + -65?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 14) to base 10\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 55*b**3 + b**2 - 1. Let i(s) = -s**3 - 2*s**2 + 2*s - 2. Let w be (-3)\/27*-3*-9. Let d be i(w). Is z(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 919.32 times -5?\nAnswer: -4596.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 + f + 2. Let v(q) = -33*q**3 + 2*q**2 - 8*q - 15. Let n(o) = -6*s(o) - v(o). Give n(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281.9352 kilograms to tonnes.\nAnswer: 0.2819352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*v**2 - 6*v**2 + 39 - 39 + (-4*v + v + 5*v)*(2 - 2 + v) to n*v + a*v**2 + i and give a.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632046 is divided by 2828?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2408, 4342, 6274, 8204, 10132, 12058, 13982?\nAnswer: 15904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -1) + 71 + 48 + -147\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 212 + -211. What is the units digit of ((9\/6)\/3*292)\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 442*h**2 + 5*h. Let q be m(2). Suppose l = 2*l - q. Is (l\/(-4))\/(7\/(-14)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 21. Suppose -5*j + 3*k + 61 = 0, -5*k - 13 = -2*j - 0*k. Is j less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 7 - 19. Let s = -29 + 54. Suppose s = 6*c - c. What is the least common multiple of q and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*35\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 - u + 4. Give s(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t)**(-27)\/(t**(11\/3)*t*t*t**(-9)*t) assuming t is positive.\nAnswer: t**(-356\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) + sqrt(28)*-2) - 2*(sqrt(38)\/(sqrt(4)\/sqrt(2)))**2 - (-4*((sqrt(228)*-1*6 - sqrt(228))\/sqrt(12))**2 + -5).\nAnswer: -sqrt(19)\/3 + 3691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.081 + -0.004. Let s = j - 0.015. Let c = -3295\/21 - -157. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/(11088\/184) + (-8)\/14 and (-546)\/(-27)*(-15)\/(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*y - z - 4, -12 = -3*z. Suppose 0*n - 5788 = y*g + 4*n, 4*g + n + 11597 = 0. Round g to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:59 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 + 69*s**4 + 33*s**3 - 10*s**2 - 11*s + 2 wrt s.\nAnswer: 120*s**2 + 1656*s + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 41 - 9 = 0. Suppose 2*y = 3*c - 26, c + y = -c + 8. Let u = f - c. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: c559a6 (base 13) to base 3\nAnswer: 22200021001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19206817 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1506 divided by 4022\nAnswer: -753\/2011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4070, 8137, 12204, 16271, 20338, 24405?\n\"Answer: 4067*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4917 (b) -328 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 29*u**3 - 25*u**3 + u**4 + 1 - 5 - 2 - 3*u - u**2 to h + b*u**3 + g*u + a*u**2 + y*u**4 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 6*m - 1064. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 15*g**2 - 7*g - 7. Let q be y(8). Let z(l) be the first derivative of -5\/2*l**2 - 2*l + q. Find the first derivative of z(k) wrt k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5587a (base 16) in base 10?\nAnswer: 350330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-6)\/9 - -10. Let l = s + -6. Suppose 0 = 2*a + l*a. Solve 5*x + 4*f - 5*f + 1 = a, -f = -4*x - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven halves of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8731571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b**2 - 72*b + 72. Let f be z(1). Suppose 2*y - 66 = -2*h + 3*y, 0 = -3*h - y + 94. Solve 0 = f*g - 8 - h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1033, -973, -869, -721, -529, -293?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8260 + 16491. What are the prime factors of v?\nAnswer: 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/448 + 97\/8. Solve -6*d - k = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28143239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1595.99734 - -1596. Round z to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = -13*f + 1523. Calculate the remainder when f is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 3*z + z - 27 + 15.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**2 + 4*d - d + 3*d - 3*d - 1. Let y(x) = -9*x**2 - 4*x + 1. Calculate 7*s(j) + 6*y(j).\nAnswer: 2*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -29. Solve -y - w = 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9792*l + 207 + 167 = 9781*l for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.750828m to millimeters.\nAnswer: 4750.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/709 - 65939\/1418. Calculate the common denominator of -70\/33 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4842 * 0.37.\nAnswer: -1.289154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 3\/4 (c) -425 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1343, -1361, -1379?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekjkfppepppfepfk. Give prob of picking 1 j, 2 p, and 1 e.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 7.8. Let q = 5 - y. Sort -4\/3, q, 1 in increasing order.\nAnswer: q, -4\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1317*f**3 + 115*f**2 - 4682628*f - 5 + 4682628*f wrt f.\nAnswer: 7902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 - 7*r**2 + 41*r**3 - 2*r**2 + 53*r**3.\nAnswer: 94*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-19 + (24 + 9 - 15) + (4 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2220, 4443, 6668, 8895, 11124, 13355?\n\"Answer: r**2 + 2220*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892303.9 days to seconds.\nAnswer: 77095056960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4 + 7505*k**3 - 2827475*k**2 + 8415015*k = 0. What is k?\nAnswer: 0, 3, 749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-264)*22)\/(-13*3\/(-4329))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -5.4. Let n = -4 + 4.1. What is the third biggest value in -0.5, j, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 300*k - 1221. Calculate x(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 149. Let b(n) = -100*n - 118. Determine b(m(h)).\nAnswer: 200*h - 15018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -183.43 + 172.1. Let j = o - -0.74. Let k = j - -10.1. Round k to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -0.2, 1\/3 in descending order.\nAnswer: 3, 1\/3, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1244112344 + -3?\nAnswer: -1244112402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*k + 4*y, -k + 5*y - 103 = -105 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 0*d + 35. Let o(l) = 3*l - 9. Determine o(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 5*p - 10. Let a be ((-2)\/(-6))\/((-4)\/(-84)). Is 4 a factor of t(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/4 in 3, -8\/9339, -4, 0.2, -2\/21, 0.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 129*y**2 - 671*y - 55. Suppose 11 + 21 = 5*h - p, -8 = 4*p. Calculate the remainder when o(-134) is divided by ((-4)\/h)\/(1\/(-30)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42023 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0145 from -1554663.\nAnswer: -1554663.0145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 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: Solve -2853 + 593 = -113*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s + 752 = -8*s + 301 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1346, -970, -350, 508, 1598, 2914, 4450, 6200?\nAnswer: 8158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 1, y: 1, b: 2, z: 1, w: 1}. What is prob of picking 1 y, 1 w, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.3 + -1.3. Let g = 9.4 - o. Let u = -0.4 + g. Is -1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*q + 76, -5*q - 5*i + 158 = -2. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(48) + (sqrt(48) - (sqrt(48) - (-3*sqrt(48) + 1))))*-3)**2.\nAnswer: -10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2088 and 812?\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 7*a**2 + 9*a - 4. Let q be k(6). Solve -q = -3*r - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230*d**2*i - 17916*d**2 - d - 103*i wrt i.\nAnswer: -230*d**2 - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2443630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4599 and 41\/414?\nAnswer: 211554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.441 - -0.741. What is the closest to -5 in -9\/4, 0.5, h?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73895 = -17*t - 5640. Let z(q) = -3*q + q + 4058 + 4*q - t. Let v(o) = -o. Determine z(v(d)).\nAnswer: -2*d + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 32 = 4*t, -3*n - 3*t + 32 = 2*t. Suppose 0 = 2*w - 4*i - 17 - 3, 3*w + n*i = 0. Calculate the least common multiple of -1 + 13 + -2 + w and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.099*-0.12138\nAnswer: -0.01201662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 128\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-85) + 955528\/2910978.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -502 (c) -3\/343 (d) 1\/6 (e) -0.2 (f) 4 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 5. Let i be j(-5). Let y be 2 - ((-1024977)\/(-60) - i). Let u = -17075 - y. What is the common denominator of u and 77\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -16*r - 45. Let f be 76\/(-12) - 5\/r. Which is the smallest value? (a) f (b) -1\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 2. Let m be i(2). Suppose -4 = -2*s - 2*s. What is the least common multiple of s and (-50)\/(-8) - (-2)\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21163095\/(-6020))\/((-3)\/4) - 2\/7?\nAnswer: 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*5*5\/50\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*o + 23 = 0, 0*k + k = 3*o + 7. Let x be 141 + 0\/(k - 2). Let c = 80 + x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:06 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + 0 + (-50 - -47)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 15. Let i be u(-17). Suppose 5*q + o = 4164, -4*q + 1671 = -i*q - 5*o. Is q > 833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 2*x**6\/15 - x**5\/5 - 5*x**4\/3 - 2*x**3 - 13*x - 9. Let a(b) be the first derivative of s(b). Suppose a(f) = 0. Calculate f.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2956, 2\/3, -1\/3, 4, 3\/85, 2 in increasing order.\nAnswer: -1\/3, 3\/85, 2\/3, 2, 4, 2956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 3226932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11*40\/25*1695\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1344, -2709, -4084, -5475, -6888?\n\"Answer: -r**3 + r**2 - 1361*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 361162397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1137, -1404, -1847, -2466?\n\"Answer: -88*o**2 - 3*o - 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*2 + -9 + 10)*-26. Let c(q) = -b + 2*q - 29 + 52. What is the lowest common multiple of c(3) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 - 176.9. Which is the closest to -2? (a) t (b) -1 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 11*z - 12. Let u be k(-9). Let a(j) = j**2 - 7*j + 8. Let h be a(u). Let s = 14 - h. 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: Suppose -q - 3*x + 85 = 0, 3*q + 3*x - 104 - 181 = 0. Suppose -q*n - 44 = -104*n. What is the highest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 33. Let x(y) = y**2 - 6*y + 1. Give x(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmzrrzrmrsz. Give prob of picking 2 r, 1 s, and 1 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175877, -176038, -176203, -176372, -176545, -176722?\n\"Answer: -2*r**2 - 155*r - 175720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1199, -9573, -32311, -76595, -149607?\n\"Answer: -1197*o**3 + 5*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14435754031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 2 - (371 - 377) - (1 - (12 - 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.41? (a) -79 (b) -2\/15 (c) -15710 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -23*m**4\/6 + 27*m**2 + 2*m + 9. What is the derivative of t(k) wrt k?\nAnswer: -92*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 11454525.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 570 = 15*i. List the prime factors of (-11238)\/i + (-16)\/80.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rictrcr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnqv when four letters picked without replacement from gmqqhqmnqnvqqmq?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-2)*(-30)\/(-12). Suppose -6*m + 33 = -x. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/(((i**(-34)*i)\/i)\/i*i) assuming i is positive.\nAnswer: i**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/792 and -31\/360.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*o + 7*o = 96, 2*m + o + 39 = 0. Let v = 19 + m. Let r = 259\/2635 + 3\/155. Which is the biggest value? (a) v (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9175 - 8437.4. What is a rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 - 84*d + 22. Determine m(7).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0 = 5*s - 2*o - 42, -10*o - 150 = 15*o for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**3 - 5*a**2. Suppose -1 = 8*f + 23. Let k(g) = -3*g**3 - 3*g**2. Determine f*v(c) + 5*k(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 - 2*s**2 - 2*s - 2. Let f(w) = w - 58 + 118 + w**3 - 57 - w**2 + 4*w**3 + 3*w**2. Calculate -2*f(c) - 3*n(c).\nAnswer: 2*c**3 + 2*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-1 - (-2 + 2)). Suppose 5*u + 3*a = -135, -4*u - 5*a - 92 = 29. Let x be (-1)\/(b - (-2)\/u). Calculate the greatest common factor of x and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 6) to base 14.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5 - -2) + (137 - 180).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2666 - 2661. Sort 3, l, -0.4, 0, -2 in decreasing order.\nAnswer: l, 3, 0, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 635806, 1270919, 1906032, 2541145?\n\"Answer: 635113*j + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 4, 4*n - 7*n = 3*u + 24 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18343058.7 rounded to the nearest one hundred thousand?\nAnswer: -18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3519 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**2 + 9085*x + 72360 = 0. Calculate x.\nAnswer: -1809, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 2140 + 24*m + 2140.\nAnswer: -4*m**2 + 24*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0\/1)\/1)\/1. Suppose -5*y + 5 + 10 = t. Solve -d = 2*s - y, 0 - 3 = -3*d - 3*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 at most as big as 6288\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2189 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**2 - 8*f + 11. Let i be m(-6). Suppose 5*h = -56 + i. What is the remainder when h is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*q + 10*q + 384. Put 3, q, -4, 1 in descending order.\nAnswer: q, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -743?\nAnswer: 8916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 6*c - 8. Let r(p) = 4*p**2 - 13*p - 15. Let y(j) = 5*i(j) - 3*r(j). Let m be y(9). Round m to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - s - 4*s + 4*s + (1 + 2 + 1)*(-s + 0*s + 2*s) + 0 + 0 + s.\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/18*(99\/(-45) + 1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:48 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/105*(-35)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(1680\/225))\/(3\/4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 1:22 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -218800 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1510881 (base 10) to base 2\nAnswer: -101110000110111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y - 0. Sort 5, y, 0 in descending order.\nAnswer: 5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -56 - (0\/(0 + -3) - 0). Let v = -7 - s. Calculate the remainder when v is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 166*i + 1954. What is s(13)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17702 - 10728 + 11190 = -936*z + 26752 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -110, 0.26, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.44*5.47.\nAnswer: 100.8668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66028 or -0.1?\nAnswer: -66028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2937, -2940, -2943, -2946, -2949?\nAnswer: -2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(7) - sqrt(14)\/(sqrt(8)\/sqrt(4) + sqrt(2) + sqrt(2))) + 2 + sqrt(14)\/sqrt(2) + sqrt(7))**2 - -2*1*sqrt(175)*5) + -2.\nAnswer: -490\/3 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 8*n - 26, 5*b - 27*n + 22*n = 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 590 - 585. Suppose -m*l = -5*z - 6635, -3*l + 6477 = -z + 2488. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*i**2 + 3*i + i**4 + 66*i**2 - 2 - 3*i - 2*i**4 + 3*i + (i + 2*i - 4*i)*(i**3 - 1 + 1).\nAnswer: -2*i**4 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**2*h*u**2 - f**2*h*u + 5*f**2*h + 12*f**2 + 10*f*u**2 wrt h?\nAnswer: 5*f**2*u**2 - f**2*u + 5*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 2*o - 9. Suppose -5*n + 90 = -0*g + 4*g, n = -2. Suppose g + 14 = -3*b. Is q(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 41*h**3 + 2*h**2 + 8*h - 23. Let t be o(5). Suppose b + t = 9*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.063 minus 2.9?\nAnswer: -9.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 7. Let l(t) = 7*t**2 - 5. Let h(w) = -11*w**2 + 8. Suppose 16 = 41*c - 39*c. Let y(j) = c*l(j) + 5*h(j). Calculate m(y(n)).\nAnswer: -2*n**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -16927.\nAnswer: -1\/16927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 - 2*x + 5. Let j(u) = 2*u**2 + 2 + 25*u + 34*u - 60*u. Let m = -11 - -14. Suppose 0 = -2*z + m + 1. What is z*s(b) - 5*j(b)?\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 199 (c) -0.3 (d) 2650\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -479392 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -18\/5, 0.23 in descending order.\nAnswer: 4, 2, 0.23, -18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22006000 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814378.\nAnswer: 2, 19, 29, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -653 - -1396. Suppose -228 = -f + a. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9883122 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: Calculate (-6)\/(-12)*(-10 + -28 + 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*r = -33, -2*h - 2*r = 2*r - 28. Let m = -2 + h. What is the derivative of m*o + 3 - 3 + 3 - 2*o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -22. Let k = 4 - j. Suppose k = -5*x + 2*x + 354. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 5*r - 40. What is the smallest common multiple of 9 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1766.77 take away -681?\nAnswer: -1085.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, -1\/12, 957 in decreasing order.\nAnswer: 957, 5, -1\/12, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -8*s**6\/3 - 20*s**5 - 54*s**4 - 208*s**3\/3 - 44*s**2 - 12*s + 12. Suppose c(y) = 0. What is y?\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -266\/3 < -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 320435568 divided by 106811856?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023515 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = -49. Suppose 3*b + 440 = 4*l + 7*b, -3*l - b = -334. What is the greatest common divisor of g and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 17 = 18*f - 21*f, 4*f - 4*u - 36 = 0. Solve f*y + 10 = 2*c, 9*y + 5*c - 3 = 8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 + 229. What is the highest common divisor of y and 288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5410077 and 5205?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:18 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*s**2 + 3*s**2 + 31*s**2 - 23*s**2 + 58*s**2.\nAnswer: 124*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 4*n - 16 = 12*f, -4*f + 2*n + 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*x**2 + 17*x**2 - 26*x**2 + 200*x**2.\nAnswer: 306*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3459 divided by 3459\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*d = -6, -3*c + 2 = -2*c + d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p**2 + 5*p**2 - 6*p**2 + (-6*p + p + 4*p)*(-3 + p + 3) - 1 - 4*p**2 + p**2 + 5*p**2 to the form w*p + b*p**2 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -309*d - 267*d + 176*d - 105*d + d - 3*d + 4*d + (4 - 4 - d)*(-4 + 2 + 0) - 4*d + 2*d + 3*d.\nAnswer: -500*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 299.4466 millennia?\nAnswer: 29944.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 779*n**3 - 3*n + 3. What is the units digit of r(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5822 and 81934?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673524 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + -3*sqrt(44))*-5*-3 + -3.\nAnswer: -90*sqrt(11) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.808 rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*p**3 - p**2 - 6*p.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 30*c**2 + 60*c - 101. Determine h(28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**2 + 34*q - 3. Let z(i) = 23*i**2 - 96*i + 8. Calculate 17*j(s) + 6*z(s).\nAnswer: 2*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*g = -k - 580, 2*g = -3*k + 850. What is the units digit of k\/11*(-3)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -13*p**4\/12 + 2*p**3\/3 - 3*p**2\/2 - 63*p. Find the second derivative of s(x) wrt x.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1.0869.\nAnswer: -0.9131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*x + 80, 4*x = 8*x. What are the prime factors of m\/12 - 1 - 402\/(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Let o be (4\/2)\/(-1 - -2). Let g = 1 + o. Solve v = -g*v + 2*s - 4, h*v + 17 = 5*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(3\/5))*n**3*n*n**(3\/5)*n**1*(n*((n\/n**(-2\/3))\/n)\/n*n)**(2\/81)*(n**0*n)**(2\/129) assuming n is positive.\nAnswer: n**(52837\/10449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2255.0907465 and -11?\nAnswer: 2266.0907465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - 2 - (7 - 9).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115055, 114971, 114831, 114635, 114383, 114075, 113711?\nAnswer: 113291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1131?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708542 is divided by 89?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 q when four letters picked without replacement from qyyaqzyqeyeyzezqzz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3. Let s(a) = -3. Let w(t) = -3*s(t) - 4*y(t). Let r(z) = -z - 4. What is 3*r(d) - 4*w(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 122*n**2 - 12*n - 8. Let i(l) = 123*l**2 - 13*l - 7. Let p(x) = -3*i(x) + 4*s(x). What are the prime factors of p(-2)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 6*q**2 + 2*q - 34. Let s be h(4). Calculate the greatest common factor of s and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) - 876\/(-9). Let u be o + (-1 - -1*2). Let w be ((-1)\/(-2) - 0) + 966\/92. What is the greatest common divisor of u and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258*g**5 - 32*g**5 + 3289*g**2 - 539*g**5 + 178*g**5 - 3100*g**2 wrt g.\nAnswer: -39060*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*r + 38. What is the remainder when 46 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(128)\/sqrt(4)) + (sqrt(18)\/sqrt(36) - 1*(-1 + sqrt(2))) + 5 + -4)**2.\nAnswer: 94*sqrt(2) + 2217\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**2*x**3 - 29*q**2*x**2 + 2*q**2*x + 2*q + 48428*x**3 - 507*x**2 wrt x.\nAnswer: -6*q**2 + 290568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**4 - 1479*j**3 - 98379*j**2 - 1813629*j - 1716726 = 0.\nAnswer: -418, -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/40*24\/3*6\/36*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455 a factor of 94534806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-18))\/((-2)\/(-20)). Let k = 1364645\/206406 + -4\/11467. What is the common denominator of k and 2\/g + (-4674)\/360?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1071 and 1650789.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*f**3 - 113*f**3 + 41*f**3 + 8*f + (4 - 3 + 0)*(-f**3 - 3*f**2 + 3*f**2).\nAnswer: -22*f**3 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 332 - 87. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Suppose s = -4*f + 82. What is the lowest common multiple of f and (-4452)\/(-315) - ((-17)\/(-15) - 1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*o**2 + 98274*o - 1700505.\nAnswer: 3*(o + 3657)*(9*o - 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 + 75. List the prime factors of l(-8).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-5)\/(420\/56).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -598.000007644 - -598. Round a to 7 dps.\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 406 or 111031\/273?\nAnswer: 111031\/273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (0 + 2 + -5)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 110 - 369. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p - 55. Let m be h(16). Suppose 0 = 64*d - m*d - 2667. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-70)\/(-12)))\/(3\/((6552\/4)\/26))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35900 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = -5. Let c = t - -1. Suppose -c*u - 10 = -5*y - 7*u, 5*u + 44 = 4*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -26. Let m = 58 - x. Suppose 2*c - m - 251 = -5*w, 0 = -3*w + 3*c + 177. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2862, 21, -5 in decreasing order.\nAnswer: 21, -5, -2862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 394.2 - 394.20001485. Round o to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217 - -213.52. What is r rounded to 1 dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 3*n + 2. Let q be m(3). Let v be 3\/1 - (q + -1). What is the first derivative of -1 + 2*d**2 - 2 + 0*d**v wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -4, 72, -1077, 2.7.\nAnswer: -1077, -4, 0.05, 2.7, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/4)\/((-63)\/(-168)). Let d = 4 + -1. Suppose m - d*m = -x. Solve -3*p = -m*n + 1, 3*p - n - 7 = 6*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(76) + sqrt(76)*1) + sqrt(76) - (sqrt(76) - (sqrt(76) + (sqrt(76) - (sqrt(76) + (2*-1*sqrt(76) - sqrt(76)))))))\/(5*sqrt(4)*-1*-3).\nAnswer: 16*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30281965.\nAnswer: 5, 7, 281, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -71*c + 838. Calculate n(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n + 2. Let z be h(-1). Let g(r) = 10*r - 9. Let l be g(z). Let m = -8 - l. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + (-1 + sqrt(1152) + 1 + (-1*sqrt(1152)*-2)**2)*-2.\nAnswer: -9214 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.56 + -10.76. Let v = 7 + -10. Sort -0.1, v, i, -0.06 in ascending order.\nAnswer: v, i, -0.1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 19393 + 19393.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2142 and -92\/7497?\nAnswer: 14994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-12)*((-748)\/(-6171))\/((-42)\/6).\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 33*f + 75. Let x be p(14). Suppose -s - 4535 = -5*j + 1920, x*j - 2*s - 6455 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 25. Suppose -h = -3*u - 7. Let j be (2 - 1)*7 + 2. Calculate the highest common divisor of u and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 0.0625137783.\nAnswer: 10.0625137783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -605 + 609. Calculate the highest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/91557 and -155\/6042762?\nAnswer: 6042762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (74\/12)\/(2\/(-171))*-4. Differentiate -15*u**4 - d - 2*u**2 + 2201 + 2*u**2 + 2*u**3 wrt u.\nAnswer: -60*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, 77.5, -3\/4, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-1)\/(3\/(-93)). Let l = -66 - i. List the prime factors of 18\/(-1)*(38\/l + 4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 8:31 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (16 + -16 - -3) - (-1 + 12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33273736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-3\/8))**30*(b**4*b)**(1\/29) assuming b is positive.\nAnswer: b**(5675\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12313331 times -2?\nAnswer: -24626662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (7 + -12 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167812 is divided by 1182.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwwzjztzjziwjzwji. Give prob of sequence ijjt.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*u = -190 + 168, -3*t = -6*u + 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 2\/27*w**3 + 0 + 1\/18*w**4 - 2*w + 1\/90*w**5 + 0*w**2. Factor t(g).\nAnswer: 2*g*(g + 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*b + 164. Let n = b + 77. Suppose -600*x = -592*x - 336. What is the remainder when n is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 100. Let n(c) = c**3 - 5*c**2 + 2*c + 6. What is the remainder when s is divided by n(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42952*n**3*o**2 + 3*n**2*o**2 - 2*n*o**2 + 759*o**2 wrt n?\nAnswer: -257712*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/12 - 15\/(-20). Suppose -4*m = -8, 0 = o*p + 5*m - 18. Let s be (-2)\/p - (-4)\/8. Solve s = -z - 3 + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 1. Let z(m) = m + 1. Let s(b) = -13*b + 6. Let p(j) = s(j) + 2*z(j). Let q(x) = 4*x - 3. Let h(o) = -3*p(o) - 8*q(o). Give h(w) + v(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, -316 = -2*w + w - 2*z. Let g = w - 961\/3. What is the common denominator of g and -71\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5322 (base 8) in base 15?\nAnswer: c4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose -r + 181 = 3*p + 4*r, d = -3*r + 15. Suppose -n = n - p. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.08, -121\/6 in descending order.\nAnswer: 0.08, 0, -121\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 3 (c) 5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 329 + 101. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:16 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - 10\/6. Let h(p) = 6*p**2 - 3*p - 2. Let m be h(o). What is the greatest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -82*w + 61*w + 229 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*q + (2*q + 2*q - 6*q)*(1 - 3 + 4).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*n**2*u**3 - 4*n**2*u**2 - 20*n**2*u - n*u**6 wrt u.\nAnswer: -90*n**2 - 120*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-1\/2)*l*l)*l))**(-3\/2))**7\/(l**(-2\/33)\/l*l**(2\/29)\/l*l)**(-1\/78) assuming l is positive.\nAnswer: l**(-60437\/11484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -24*b. Let k = -9 - -15. Let p be 18 - 84\/12 - 8. Let o(j) = -p*j - j + k*j - 4*j. What is o(l(w))?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12739*u - 4. Give a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 82, -5, 118, 7 in decreasing order.\nAnswer: 118, 82, 7, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 13*z**2 - 10*z - 22. Let r be f(12). Factor 759*l - l**3 - 1434*l - 45*l**r - 426 - 2949.\nAnswer: -(l + 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -1\/4*a**4 - 24 + 1\/2*a**2 + 0*a**3 + 0*a. Let y(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*n - 64303, -7*w - 3*w + 214435 = -5*n. Is w a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 15352?\nAnswer: 1534a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let g be (2 - -1)\/3*-3. Let t be (g\/(-2))\/(5\/(-10)). Let a be j(t). Which is bigger: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1016540 (base 8) to base 10.\nAnswer: 269664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + -84.7. Let k = f - -19.7. Which is the second biggest value? (a) 1 (b) -4 (c) -1\/7 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.2, 0.4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -4 - -2) + 0 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3, -190, 10, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3530754983.\nAnswer: 7, 43, 11730083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccccssccccccc. Give prob of picking 3 c and 1 s.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9728.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4162 is divided by 247.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1870*n**4*t**3 - 3*n**4*t - 46*n**3 - 37*n**2*t**2 + 147*n*t**3 + 3*t**3 - t + 3 wrt n?\nAnswer: 44880*n*t**3 - 72*n*t - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a746840 - 0?\nAnswer: a746840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -984 by -82.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10370 divided by 6.\nAnswer: -5185\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*b + 2*b + 9*b + 3*b**3 + 4*b + 6*b**2 + 7*b.\nAnswer: 3*b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1428\/168)\/(340\/1520)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 5*r**6\/3 - 3*r**2 + 14. What is the second derivative of i(m) wrt m?\nAnswer: 200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*r = 142*r + 7*c - 25, 4*r = 4*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523600900?\nAnswer: 2, 5, 149, 35141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67ab + -330?\nAnswer: -6adb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2)\/(6\/12). Suppose -6*h = -q*h + 12, -3*d + h + 15 = 0. Suppose 14 - 38 = -d*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 21. Let x(o) be the second derivative of -7\/75*o**6 + 7\/30*o**4 + 1\/21*o**7 + 2*o - 2\/15*o**3 + 0*o**2 + 0 - 3\/50*o**q. Solve x(w) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -688.27628*0.02.\nAnswer: -13.7655256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001110001100001 + 10?\nAnswer: -10101001110001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1408287*p**3 - 3*p**2 + 17*p - 1739878?\nAnswer: -8449722*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 11. Let l be p(-7). Let o be 18\/l*12\/(-90)*-5. Suppose -4*b + o*b = -287. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8215354 decades?\nAnswer: 8.215354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1665\/(-66)*(1\/3 - -3). Let r = 85 + h. What is a in 14\/11*a**2 - 6\/11*a**3 - 4\/11 - r*a**4 + 6\/11*a = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*q + 13219 + 1963 = -11376 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-8 - -15) - (4 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3360 + 5?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19740 by 9870.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -421*x**2. Let u(q) = 763*q**2. Give y(u(b)).\nAnswer: -245093149*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -256, -26, 110, 44, -332, -1126, -2446?\nAnswer: -4400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 2*a + 1 - 3)*((-4 + 3 + 2)*(-2 + 2 - 2) + 13 - 7 + 10 - 1 + 1 - 1) to the form y*a + t and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 463436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 150\/20887?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 7*d**2 + 8*d - 17. Let g be (-14)\/5*10\/(-7). Calculate m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 124*g**2 + 369*g - 340. Let s(h) = -27*h**2 - 92*h + 85. Let a(d) = -2*j(d) - 9*s(d). Suppose a(r) = 0. What is r?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.87508 centuries in months?\nAnswer: 25050.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**4 + 12*r. Let h(q) = -q. Let l(d) = -6*h(d) - z(d). What is the second derivative of l(b) wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 382.8 + -383. Let r be (1\/2)\/(2\/16). Suppose 0 = 2*k - r*o - 8, -3*k - k - 17 = 3*o. Which is the nearest to l? (a) 0 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/419, 0.3, -19, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = n - 3, 88*n = 83*n + 4*b + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**2 + 35*v + 43. Let s be f(-4). Let y(w) = -w**3 - 4*w**2 - 4*w + 13. Let o(k) = k**2 + k - 1. Calculate s*y(j) - 2*o(j).\nAnswer: j**3 + 2*j**2 + 2*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 - 0.9. Let h = -1.5 + 1.4. Which is the third smallest value? (a) -1\/5 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.21865 years in decades?\nAnswer: 0.121865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-30\/13))**(-44)\/(w**(-3\/4)*w)**(-10\/9) assuming w is positive.\nAnswer: w**(23825\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0 + 0*d**4 + 0*d**3 + 137\/60*d**5 - 19\/60*d**6 + 0*d + 177*d**2. What is the third derivative of i(a) wrt a?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 255 + -250. Suppose -2*p + d*w + 3595 = 924, -p + w = -1340. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177753221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2))**(-37)*(w*w*w\/w**3)\/((w*w**(-2\/13)*w)\/w*w) assuming w is positive.\nAnswer: w**(-529\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 25. Let v = g - -11. What is the second biggest value in 2\/13, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1971787142\/3 or 657262381?\nAnswer: 657262381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 31 = 71. What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**5 - 885*k**3*m + 6*k*m - 290*m wrt k?\nAnswer: -20*k**3 - 5310*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -96675238 to the nearest 10000.\nAnswer: -96680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*h - 79*h - 389*h + 254*h.\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/(-19 - -29) + 19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -39158*y - 548255. Give q(-14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 69*a + 36*a - 18*a + 13. What is the tens digit of u(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 24*f**2. Let y(p) = p**2 + p - 1. Let j(b) = -4*b**2 - 2*b + 2. Let s(i) = j(i) + 2*y(i). Determine s(w(d)).\nAnswer: -1152*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2414*r - 775*r + 35441 - 2661 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610235 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309165 = 26*q - 505753. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Suppose -2*k + 80 = -2*s, -s + k + k - 36 = a. Let c = 140 + s. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = -k, 3*w - 34 = -4*k - 38. Let t(r) be the second derivative of -6*r + 0*r**3 + 0*r**2 + 1\/6*r**4 + w. Let j(u) = u. Determine j(t(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 238.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 divided by -9?\nAnswer: 187\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-27 - -18) + 107 + -23\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(605) - (-5*-1*sqrt(605) + sqrt(605) - sqrt(605) - sqrt(605)))\/sqrt(11))\/(sqrt(25)\/(sqrt(30)\/sqrt(6)*6)).\nAnswer: -54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3 + 15943*q**2 + 62683275*q - 6890866875 = 0.\nAnswer: -8025, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 391 + -5090\/13. Let h = 133\/78 + g. Find the common denominator of 103\/(-36) - 4\/18 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-0.11.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 67*v**2 - 615*v - 122. Calculate r(56).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304388 minus 0.0441956?\nAnswer: 304387.9558044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4173, 618, 0.11 in increasing order.\nAnswer: -4173, 0.11, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2937901242 to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/((1\/3)\/(2 - 1)). Let v = w + 77. Solve 0 = v*j - j + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37093204 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 928441 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 2*q + 0*q)*(0*q + 3*q**3 + 0*q) + 6*q**3 + 5*q**4 - 6*q**3 as k*q**2 + j*q**3 + b + r*q + a*q**4 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a hour in seconds?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**4 + 795*s**3 + 2340*s**2 = 0. What is s?\nAnswer: -156, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/(-8) + (-5)\/(-20). Let d(m) = 2*m**2 + 13*m + 24. What is the remainder when 189 is divided by d(l)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {y: 2, s: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -126, -201, -292, -405?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -250400 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*sqrt(11) - (sqrt(77)\/(sqrt(14)\/sqrt(2)) - sqrt(11)) - 2*2*(-1*sqrt(891))**2.\nAnswer: -3568 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 62 = -5*z, 6*z = 5*z - 3*d + 4. Suppose 5*w + z = -5*c + 3, -8 = 3*w + c. Put 0, w, -1 in decreasing order.\nAnswer: 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 105 - 316 - 165*u**2 + 107 + 162*u**2 + 104. Let a(x) = -2*x**2 + 5*x**2 - x**2. Give a(r(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:09 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -203.07 + 199.07. Let q = 93\/4 - 23. What is the third biggest value in 1\/35, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 32. Let l = 5.03 + 54.37. Let v = l - 59. What is the closest to y in 0.5, 15, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -10. Let t be (-4)\/u + 15\/3. Let o(z) = -z**3 + 5*z**2 + 14*z + 9. Let s be o(t). Which is the nearest to s? (a) -5 (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -16 - (21 + -9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79391, -79378, -79365, -79352, -79339, -79326?\nAnswer: -79313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -7*z + 72. Suppose 33 + 57 = z*x. Sort -1, x, 4, -2 in decreasing order.\nAnswer: x, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13232 is divided by 205?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135317890 is divided by 755.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-5 - 1 - 0)) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19197862171 + -0.08641?\nAnswer: 19197862170.91359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 84.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208 + -205. Let l = 5 - 1. What is the second smallest value in z, l, 2, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52744 divided by 1388\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -3. Let f = u + 7.25. Let q = f - 0.14. What is q rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 0.4, -0.1, 4, 5.2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-12) - 2\/6. Suppose n*a - 1 = -a. Is 82 - a - 12\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1433\/6 + 11\/66. Let d = c + -105. Let j = -63 + d. What are the prime factors of j?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - x = -198 + 9, 4*x = -4*d + 204. Suppose 0 = -l - 7*s + 4*s + d, 50 = l + 5*s. Calculate the remainder when l is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(10\/(-300)*4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1094566 divided by -121\nAnswer: 9046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 46*r**3 - 4*r**2 - 6*r - 7. Let g(x) = -45*x**3 + 3*x**2 + 6*x + 5. Determine -4*g(b) - 3*m(b).\nAnswer: 42*b**3 - 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 5, p: 3, u: 1, d: 1, l: 1}. Give prob of sequence sul.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:04 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -207.6316 to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1939.3 - -2073. What is y rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, r: 4, e: 5, o: 2, f: 2}. What is prob of picking 2 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z - 23. Let s be y(-7). Solve -r - 8 = 3*d + 4, s*d + 21 = -2*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110 (base 2) to base 16\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/b*b*b\/b**(1\/2))**(-3\/2)*(b*b\/b**(-1\/4))**(-16)*b**(-2\/19)\/b**(-2) assuming b is positive.\nAnswer: b**(-1965\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 115.3. Let f = 16.6 - w. Let l(y) = y**2 + 6*y + 4. Let x be l(-3). What is the second smallest value in f, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 85 = -171. Suppose 0 = -5*d - 4*a - 0*a - b, -12 = 2*d - a. Let g be 0\/(-2) - (d\/(-7) + -5341). Round g to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 15*d**2 + 1845*d - 20926. Determine o(11).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673520.\nAnswer: 2, 5, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -871 + 871.2. Sort 7, r, -12 in ascending order.\nAnswer: -12, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6897872.\nAnswer: 2, 31, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 411924448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 395341626*d - 395342494*d + 3.\nAnswer: -868*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Let t be 2\/6 + (-7)\/35. Which is the closest to 0.2? (a) y (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -566. Suppose 3*s - d = -31. Suppose -2*y = -0*y - 26. Calculate the highest common divisor of s and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 0 + -4 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 + -335\/4. Sort a, -0.06, 0.8 in descending order.\nAnswer: 0.8, -0.06, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78109012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 9178800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145965, 145964, 145963, 145962?\nAnswer: 145961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llylyiylllllly. What is prob of picking 3 l?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5732 (b) 0.2 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56.0802 + 13.4553. Let j = w + 42.6. Round j to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 303000?\nAnswer: 303031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 11842?\nAnswer: 59210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from ddylddldyldbbclb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -667, -968, -1217, -1396, -1487, -1472, -1333?\nAnswer: -1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:35 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.60442 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 122?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1 = -2*j - 2, 4*j - 7 = 3*z. Suppose 2 = 2*d - 2. Let o(f) = d*f**2 - 3*f**2 - 3*f**2 + f. Calculate o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, q: 1, h: 6, t: 1, v: 1}. What is prob of sequence tvc?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1891 - 1890.7. Do -29 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2030193.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 6. Let f(p) = 4*p. Let m(s) = -2*f(s) + y(s). Is 27 a factor of m(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 27 + 2*q**2 + 94*q - 18)*(-9*q**2 + 6*q**2 - 7*q**2)*(-3*q - 5*q - q).\nAnswer: 180*q**5 + 8460*q**4 - 90*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160243, 3, 15, -5 in increasing order.\nAnswer: -5, 3, 15, 160243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -11*j + 7*j - 66, 3*c + 3*j = 45. Let v be 1\/(-1)*6\/c*-9. Solve 7*o - 3*o - 11 = v*g, 2*o + 17 = -3*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 143*m*u*x**2 - 41*m*u*x - 4*m*u - 4*m + 388*u*x**2 + 758*u wrt m?\nAnswer: 143*u*x**2 - 41*u*x - 4*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/17 + 113\/238. Let f = 21.1 + -17.1. What is the smallest value in f, 0.2, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -273\/1093 or -1?\nAnswer: -273\/1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 19 = -4*y, 51*y - 5*s = 48*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 a factor of 11235187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = k + 14035 - 14047, 33 = 5*k - 6*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202.8 + -200.8. Which is the closest to -12? (a) 4 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/1 + (-6 - -6). Find the second derivative of 5*c**p - 22*c - 4*c**3 - 6*c - 1 + 15*c wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -37*v. Let k(n) = -51*n + 6. Calculate a(k(f)).\nAnswer: 1887*f - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3171634 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 11*s + 12. Let z be w(-9). Let u = z + 19. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2\/287, -2875?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 332, -3, 5, -14 in decreasing order.\nAnswer: 332, 5, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851*m + 1807 = -239*m - 15633 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9293?\nAnswer: 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 120\/35 + -3 - (-625)\/175. Solve 3*g = -t + 3, 0 = -i*g - 3*t - 3 + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25228240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1307738, -2, -1, 5, 1 in increasing order.\nAnswer: -2, -1, 1, 5, 14, 1307738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmpmpmffpmmpm.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.881 - 0.019. Let n = r + 22. Let y = 0.0999964 - n. Round y to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -m, -3*m - 17 = 5*g. Let a(y) = 629*y**3 - y. Let j be a(g). Let b = j - -3703\/6. Calculate the common denominator of -54\/11 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.047 and 271?\nAnswer: 12.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/16 and 41\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + a - 166 = 0, 4*g - 115 - 85 = 4*a. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 68*y - 407. Let h(f) = -34*f - 1116. Let m be h(-33). Give d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 92*x + 1372. Determine b(-105).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 27. Let v = c - -15. Suppose 2879 - 181 = 19*j. What is the remainder when j is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4448, 9308, 14168, 19028, 23888, 28748?\nAnswer: 33608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -443*b**2*n**3 + b**2*n**2 - 308*b*n**2 - 2*n**3 wrt n.\nAnswer: -2658*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 2*d + 8, 6*d + 20 = -4*f + 8*d for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.1 (b) -0.3 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**26*(v**(-4\/23)*v)\/v assuming v is positive.\nAnswer: v**(-579\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 - 35 + 68 + (-6 + 1 + 4)*(0 - 1 + 2))*(2*u + 0*u - u).\nAnswer: 164*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*g + 113 + 376, -g = -4*x - 173. List the prime factors of g.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 - -175.3. Let s = 13.3 - u. What is the second biggest value in s, -5\/6, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*y**5 + 573*y - 1157*y + 582*y + (0 + y**2 + 0)*(-117*y**3 + 174 - 174) + 3*y - 2*y**5 - 3*y.\nAnswer: -169*y**5 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16674 is divided by 1865.\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 38 - 22 = 0. Put 3, 111, u in descending order.\nAnswer: 111, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -4\/3, -1654\/53, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/42)\/((-9)\/7)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5138 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*q = -3, 27 = 5*i - 3*q + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 - -0.097. What is z rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 14*p**2 + p + 18. Determine s(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 4:02 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 408598 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*o - 35*o + 38*o)*(2*o**2 + 0*o**2 - o**2).\nAnswer: 69*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -24*x**3 - 11*x**2 + 44*x - 41. Let r(l) = 12*l**3 + 6*l**2 - 24*l + 20. Calculate 11*r(a) + 6*u(a).\nAnswer: -12*a**3 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34066 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t*t**(-4)\/t)\/(t**3\/t**(4\/7)))\/(((t*t**(5\/6)*t)\/t)\/t**(-2\/3))**(-2\/19) assuming t is positive.\nAnswer: t**(-1219\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/(-11))\/24*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + (sqrt(108) - (-2*(sqrt(108) + sqrt(108) + -1) - sqrt(108)))) + 3)**2.\nAnswer: -3744*sqrt(3) + 62377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 203678*v**2 - 1 + 6 + 203674*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110463713?\nAnswer: 53, 467, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -481 + 2947. Let i = d + -44273\/18. What is the common denominator of i and 101\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3667 - -7335\/2. What is the smallest value in -2\/5, 3\/7, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-268)\/8*(-23 + 21). Sort -25, w, 2 in decreasing order.\nAnswer: w, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5638\/(-3) - -4)*(-21)\/7. Let f = b - 317. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -6*o + 69. Let x(p) = 4015 - o*p + p - 4015. Let t(m) be the third derivative of 7*m**5\/60 - 4*m**2. Calculate t(x(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1625952 + 8129772\/5. Let w be (-1)\/(-2) - (-11)\/10. Let 4\/5*u**4 + 12\/5*u**3 + 4\/5*u**2 - f*u - w = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/(-88) + -6 + ((-5)\/(-4))\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 671438 + 3?\nAnswer: 67143b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-180)\/(-63)*(6 + 1). Let j = 22 - y. Solve -n + 5*a = -15, -30 = -4*n + j*a + 3*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -902, -354 in descending order.\nAnswer: 1, -354, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3456)\/432)\/((-2)\/5)*7\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54763425 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 7*v + 7. Let q be n(-7). Let x(j) = -5*j**3 - 10*j - 8 + 3*j + 4*j**3 + 8*j**2. Calculate x(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 9*w + 6. Let v be x(6). Suppose 324*g - 289*g - 1505 = 0. Let o = v - g. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**5\/30 + d**4\/24 - 2*d**3 + 10. Let b(k) be the third derivative of r(k). Give b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35553 and 130361.\nAnswer: 391083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v - 35*v = p + 7, 0 = p + 4. Suppose 2*s - s = 0. Let f be 1\/(-2)*2*s. Put -6, f, v in decreasing order.\nAnswer: v, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:09 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-18) + (-152)\/72?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 25 + 152 + 3*u - 4*u - 71.\nAnswer: -2*u + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005400918 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16307 is divided by 2666?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/8050 and 57\/1150?\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(700) + 3)**2 + sqrt(700).\nAnswer: 130*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 + -217.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (-15 - (-3 + 12 - 8))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/3 in -15, -0.2, 3, 4, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5928\/(-336) - (-6)\/(-7))*-74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -41. Suppose j*z + z - m - 1 = 0, -4*z + 5*m = -9. What is the tens digit of (z - -1)*(-185)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - f + 4, -26*f + 30*f = -2*c + 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 a when three letters picked without replacement from atbjtjbbbt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q. Let d(x) = -4798992*x - 2. Give d(n(w)).\nAnswer: -33592944*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 8988.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 59. Suppose w*z - 5*z + 260 = 0. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-44) - (939\/15)\/((-16)\/(-20)). Which is bigger: -36 or p?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + f**3)*(-f - 4 + 4) - f**4 + 3*f**4 + 7*f**2 - 37*f**2.\nAnswer: f**4 - 30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1404046 - 4?\nAnswer: -1404051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 14*f**2 - f - 10. Suppose 4*m + 61 = -5*p, -2*p + 4*p = -3*m - 44. What is y(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -5 - (1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 330887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336736417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1160, -2324, -3490, -4658, -5828, -7000, -8174?\nAnswer: -9350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 138239 = -138284 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 12. Let s(b) = -2 + 4 - 15*b**2 - 2. Let v(n) = -22*n**2. Let x(k) = u*s(k) - 5*v(k). Let g(o) = -o**2. Calculate g(x(d)).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-45))\/(6\/(-448500)). Round m to the nearest one thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - f)*(-3*f + 3 - 7 + 4*f) in the form y*f + g + w*f**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/7361 and 43\/1345764?\nAnswer: 22877988","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 12 = -0. Suppose -7*c + 3*t = -2*c - d, c = 4*t + 8. Let n be (c + -1 - -1)\/(-2). Solve n = y - 2*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:29 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19678?\nAnswer: 2, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 >= 460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -4, 29 in descending order.\nAnswer: 29, 6, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/112 and -67\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6779*h*j**3 - 2582*h*r**2 - j**3*r**2 - 47719824*j**3*r with respect to h.\nAnswer: -6779*j**3 - 2582*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830963519 to the power of 1\/3, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110 + -101101101000001010011?\nAnswer: -101101101000010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2776013, 2776011, 2776007, 2776001, 2775993, 2775983, 2775971?\nAnswer: 2775957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237052735 to the power of 1\/3, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612083 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121.44 - -121.39. Put 2, 3, b, -0.4, 0.4 in decreasing order.\nAnswer: 3, 2, 0.4, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - 3*s + 3*s)*(0 - 4 - 2).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 0 - (-36 + 43).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 - 6*u**3 + 6*u**3 - 1)*(-u + 2*u - 2*u) + (-u + 2*u - 3*u)*(u**4 - 2*u**4 + 4*u**4).\nAnswer: -5*u**5 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -28. Calculate the remainder when 141 is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k**3 + 7*k**2 + 23*k + 3. Let h(a) = -6*a**3 - 4*a**2 - 11*a - 2. Determine 4*d(q) + 7*h(q).\nAnswer: 2*q**3 + 15*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 - -67. Suppose 0 = 3*q + 3*m - 3555, 4*q + 0*m = -5*m + 4736. Suppose -q = j - b. Round j to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1017 and 3164.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195771 + -195770.8. Let h = 8 - 11. What is the nearest to 3 in h, 5, 2\/3, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:53 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98 or -1?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(45))**2 + -3 + sqrt(1125) + -2 + sqrt(45) + sqrt(180)\/(4*sqrt(12)\/sqrt(3)).\nAnswer: 40 + 75*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**4 + 25*f**3 + 115*f**2 - 585*f + 450 = 0.\nAnswer: -5, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -863 + 616. Let v = 247.1 + u. Which is the nearest to v? (a) 0.3 (b) -2.7 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/7 - -3 - 0\/64.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -3.2, -3\/7, 3\/34?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1086978 divided by 174.\nAnswer: 6247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1422)\/948 + (-5)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 85370?\nAnswer: 341480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**4 + u**3 + 2*u**2 + u - 4. Let l(k) = -2453*k**4 - k**3 - 4*k**2 - 2*k + 6306. Let s(o) = -l(o) - 2*w(o). What is the derivative of s(g) wrt g?\nAnswer: 9796*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -15*p + 25. Let i(s) = -8*s + 12. Let l(k) = -4*c(k) + 7*i(k). What is the tens digit of l(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2862 divided by -3.\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/144 and -53\/72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Suppose o + 10 = n + 5*o, 0 = -4*n + b*o. Suppose 0*i + 2*i = n*l - 14, -4*i + 8 = 0. Calculate the remainder when 24 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, l: 6}. What is prob of sequence ll?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d0 - 3d2?\nAnswer: -4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - y)*(0*y**4 - 3*y**2 - 4*y**4 + 4*y**2).\nAnswer: -4*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14.6 times 0.02\nAnswer: 0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000555 to seven decimal places.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 3*f + 0*f**3 - 1 + 0*f**2 - 3\/14*f**4 - 3\/28*f**5 - 1\/70*f**6. Factor i(m).\nAnswer: -3*m**2*(m + 2)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -1\/5 (c) -13.58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(108)*2*1)**2 + (sqrt(3) - (sqrt(33)*1)\/sqrt(11))**2 + (sqrt(432)*3 - sqrt(3)).\nAnswer: 35*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkvmvllvkkkkk. Give prob of picking 1 v and 1 m.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:02 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 46*p - 5. Let f(l) = -31*l + 3. Let i be -10 + 1 + 2 + 0. Let y(w) = i*f(w) - 5*o(w). Is y(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*5015\/(-92820) - (-21)\/(-12).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 342379023 = -42539023. What is z rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 - 20799289*u**3 + u**2 + 81769967*u.\nAnswer: -12*u**2 - 124795734*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 671868410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.25 + 4.25. Put 2\/5, -1\/8, j in ascending order.\nAnswer: -1\/8, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 2335?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/((-21238)\/(-42))*22\/(-66).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 829, 821, 801, 763, 701, 609?\n\"Answer: -x**3 - x + 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 606, 608, 610, 612?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2338 - 2343.105. Let z = r + 0.105. What is the closest to 0.1 in 5, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.177 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -810 - 244?\nAnswer: -a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15448435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*f - 5*u - 0*u, 5*f + 15 = 5*u. Find the common denominator of f\/7 - (-716)\/(-252) and 5\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/9, 3, 4\/3, 4 in descending order.\nAnswer: 4, 3, 4\/3, -2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0098 - 0.4?\nAnswer: -0.4098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/11)*p*p**(1\/11) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14038 (b) -8 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 134*i**3 + 24*i**2 - i*y**2 + 1959*i + 698611*y**2 wrt i.\nAnswer: 402*i**2 + 48*i - y**2 + 1959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43023.41 tonnes to milligrams.\nAnswer: 43023410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1481585050 to the nearest integer?\nAnswer: 38491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 599301587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -221*r + 447*r + 6328 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 40 = 4*d - 12. Let y = 41 + 8. Calculate the remainder when y is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1311853 and 22.\nAnswer: 28860766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 819 + -696. Calculate the remainder when r is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*m**2 + 45*m**2 + 6*m**3 + (0*m + m**2 + 0*m)*(1 - m - 1) - 53*m**3 - 8*m**3 - 2*m**3 to the form d*m**3 + r*m**2 + h*m + i and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 + 2)*(-6*m + 5*m + 5*m) + 0*m - m - 2*m + 3*m - 6*m + 2*m.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 577249 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: Collect the terms in -50*y - 39*y + 86*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.92 - 0.98. Let h = b + 0.06. Is 3\/4 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -355, -797, -1415?\nAnswer: -2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/(-6) + 2\/12. Let t = c - -6. Suppose 3*q - 4 = t*w + 4, -5*w + 55 = 5*q. Solve l = -2*l + q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**8\/z**(-12)*z**(6\/5)*z*(z\/(z*z\/(z**(6\/11)\/z)))\/z*z assuming z is positive.\nAnswer: z**(1141\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 255*v - 37701*v**3 - 132*v + 14 + 37703*v**3.\nAnswer: 2*v**3 - 387*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3762 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(136)*-6)\/(sqrt(64)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 - 91 + 178 = 17*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaoi when four letters picked without replacement from {o: 3, k: 1, i: 2, a: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -374456 <= -1497823\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1350 = 7*v - 426. Let y = -64 + 214. Let n = v + y. What is the smallest common multiple of n and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + 699. List the prime factors of b.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*j**3 + 301*j**2 - 301*j**2 + (0*j**2 + j**2 + 0*j**2)*(-j - 3*j + 2*j) + 67 - 129 + 58 - 13*j**3 + (-2*j + 2*j + 2*j)*(0*j**2 - j**2 + 2*j**2).\nAnswer: -39*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:19 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 52*z - 51*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 6*h + 9. Let y be u(8). Let q = -0.893 - -0.593. What is the smallest value in -1\/5, 0.1, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2204 divided by -29.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 6:37 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 2*l**5\/3 - 151*l**4\/2 + 1052*l**3\/3 - 1036*l**2\/3 - 464*l - 336. Determine k, given that p(k) = 0.\nAnswer: -2\/5, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2851526*-0.5.\nAnswer: -1425763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006752 rounded to seven dps?\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*h - 279*h - c - 4453687 = 0, 0 = -2*c - 6. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(432) - sqrt(432))*-3 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w. Let j be y(2). Sort -3, 1, j in descending order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15612*k**5 + 8*k - 659 wrt k?\nAnswer: -312240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1884554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 138888510 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -462 + 504. Solve w = l - 15*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*(-825)\/55.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504 by 162.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:47 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/42)\/(18*26\/(-12285))?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010029945 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -3 (c) -100 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(720) - sqrt(720))\/(sqrt(12)\/sqrt(4)*-5))\/((sqrt(2187)*-1 + sqrt(2187) - sqrt(2187))\/(-1*sqrt(9)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*4\/(-20))\/(12\/45).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 9*h**2 + 8*h - 6. Suppose -20 = -10*i + 60. Suppose 24 = 11*w - i*w. Calculate z(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x**2 - x + 1. Let h(w) = 4*w**4 - 4*w**3 - 4*w**2 - 23*w + 4. Let l(s) = -h(s) + 4*j(s). What is the second derivative of l(m) wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1562233497195137\/18595960 + -1428158022\/17. Let g = s + -3\/1640. Let h = g - -5322\/4669. What is the third smallest value in h, -4, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {p: 5, x: 2, u: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/349580 and 31\/77.\nAnswer: 349580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27501 divided by 897\nAnswer: 9167\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -8 - (10 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 9:15 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -294, -219 in increasing order.\nAnswer: -294, -219, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pplllpppppppplppppp. Give prob of sequence pl.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*i + 3*m, 2*i - 19 = 2*m - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 17*v + 6*v + 15 = 0, -4*v - 25 = 15 - 44 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80248067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75000, 76049, 77796, 80241, 83384?\n\"Answer: 349*c**2 + 2*c + 74649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 208*k - 204.\nAnswer: -4*(k + 1)*(k + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/((-1)\/((-16)\/6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -175\/4. Put 0.3, l, -1 in decreasing order.\nAnswer: 0.3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-36 - -30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 77*v**3 + v**2 - 2*v + 2. What is the units digit of p(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -40, -2\/7, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536422 is divided by 13760.\nAnswer: 13542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 + s + 1. Let m(j) = -39*j**3 - 13*j**2 - 13*j - 13. Suppose -53*u - 52 = 4*a - 58*u, 3*a - 4*u + 39 = 0. Determine a*w(g) - m(g).\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1979 - 1936. Suppose g - 4 + 3 = 0, -5*g = -4*m + 171. Suppose p - x + m = 0. Which is the closest to -2\/5? (a) p (b) -0.2 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = v - 6*v - 20, -7 = -2*n + v. What is the second biggest value in 23, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 5, -2*o = -5*n + 438. What is the highest common divisor of n and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2585*z**2 - 2945*z + 37732335.\nAnswer: -5170*z - 2945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k*k**(-2\/31)*k)\/k)*k)**(-6\/23)*((k**(-32)\/k)\/k)\/k*k*k**28\/k assuming k is positive.\nAnswer: k**(-5003\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 7*h - 3*h + 4*h. Let p(m) = 2*m. Give p(z(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5, 46 = -4*f + 8*f - 2*o. What is the nearest to 0 in -4, -0.53, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + -102. What is the units digit of (-822)\/f - (-8)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 88795 + 35441 = -4*n, 5*l + n = -310554. What is l rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Solve -x*h + 7 + 2 = 2*s, -s = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d + d**2 - 55*d + 23*d.\nAnswer: d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.1. Let c = -3350.9 - -3351. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 6*v**2 - 3*v - 4. Let z be d(-7). Let b = 35 + z. Suppose -b*i - 418 + 1375 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -107547\/4, 4\/9.\nAnswer: -107547\/4, -29, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13*c**2 - 5*c. Let g(h) = -7*h**2 - 3*h. Determine -3*f(a) + 5*g(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 23961.6 to the nearest 10.\nAnswer: 23960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -293 divided by -293\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/3)\/((-2)\/40). Let w = 48 - v. Let y(j) = -9*j**2 + 17 + 2*j**2 - w*j**2 + 3*j - 5*j. Let m(l) = -7*l**2 - l + 8. Calculate 13*m(s) - 6*y(s).\nAnswer: -s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 385, 533, 681, 829?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, -0.02, -1\/495?\nAnswer: -1\/495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7.74 times -11\nAnswer: 85.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 - 1227*q**3\/4 + 12408*q**2 - 132495*q.\nAnswer: 3*q*(q - 365)*(q - 22)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*g = 4, 0 = -7*c + 3*c + 3*g + 3. Suppose -4*h - 61 - 79 = c. Let a = h - -75. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 16*s**2 + s + 18. Let v = -4 - -8. Calculate the lowest common multiple of n(-16) and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3739 + 3607. What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**21\/(o*o\/(o\/((o*o**(-37))\/o)*o))*(o**(-4\/7))**(1\/20) assuming o is positive.\nAnswer: o**(2029\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 4, -0.06, -80, -1.1, 2\/23, 0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -542.8 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67046 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*n = r - 290*n + 11, -4*n - 41 = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 17. What is the highest common divisor of 18 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let o(y) = -150*y - 5 + 5 + 145*y. Determine o(q(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - u + 17, 7 = 5*h - 3*u - 2. Solve -2*j - 5*y = -j - 5, 4*j = -h*y + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a - 6. Let j = 23 - 10. Let i(b) = 15*b + 13. Let q(p) = j*m(p) + 6*i(p). Let s(d) be the third derivative of d**5\/30 - d**2. Determine q(s(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 0.5. Let k = 2.7 - 3. Is k bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:23 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4244*x**2 + 7*x + 98. Let u(d) = 4243*d**2 + 6*d + 84. What is 6*s(w) - 7*u(w)?\nAnswer: -4237*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooppuppoohp. What is prob of picking 1 o, 1 p, and 1 h?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -14)\/((-2)\/28*1). Let d = v + -233. Let r = -5 - -11. Is r greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from njjjgmgngnnnfnmj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - g**2 - 22*g + 10. Give l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 1009442*c - 8075408.\nAnswer: -2*(c - 504713)*(c - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -9, -213, 4, -5, -24 in descending order.\nAnswer: 4, 1, -5, -8, -9, -24, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0063476 to 4 decimal places.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2708*k + 19272 = 2124*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 0.78896?\nAnswer: 3.78896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*y**2 - 758405*f + 299782*y**2 wrt y.\nAnswer: 2*f*y + 599564*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 897*q**2 - 15*q + 109. Is m(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 66*k - 1 - 16 + 32.\nAnswer: 66*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/16*(-6)\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 17*y**2 - 18*y + 14. Calculate u(18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.8, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2424304 - 10?\nAnswer: -2424314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14939 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101032212333 + 11?\nAnswer: -101032212322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.418 - 243.418. Which is the nearest to 2? (a) -2\/9 (b) k (c) 0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -79*t**2 - 743*t - 295. Give f(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112\/3 - 38. Let i = 158.1 - 155. Let t = i - 3.4. Which is the second smallest value? (a) s (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 3. Suppose 3*g - 4*f = 8*g - 8, g = -3*f + 6. Suppose 0 = -4*q - 3*r + 3 - g, -3*q - 3*r = 0. Let l be -4 + q + (3 - 8). Give a(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4206.\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 353056 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0*f**7 - 1\/112*f**8 + 0*f - 3*f**2 + 0 + 0*f**5 + 1\/8*f**4 + 0*f**3 + 0*f**6. Find the second derivative of k(l) wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 5:02 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - t)*(1537*t - 783*t - 893*t).\nAnswer: 139*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543649728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 84 = 84 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 5*f + 5. What is the second derivative of 3*x**3 + 0*x - f*x + 2*x + 0*x wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d**3 - 5*d**2 + 5*d + 7. Let t(i) = 3*i**2 - 4*i - 5*i**3 - 6*i**2 + 7*i + 4. Calculate -3*h(j) + 5*t(j).\nAnswer: 2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15*g - 91. Let r be v(12). Suppose -r*u + 90*u = 15815. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Suppose 9 + 14 = z + 5*g, 4*z - 20 = -2*g. Let h = 3 - z. Solve h = -4*i + i - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - n + 14031 - 14051 = 0, 2*n + 0*n = -2*t - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1057 + 51940245?\nAnswer: 51940244.8943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 - 110*k - 533. Calculate x(-14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/7*8*4\/16. Put 0, 1\/12, p in decreasing order.\nAnswer: 1\/12, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u + 20. Calculate j(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 4*u - 35 = 5*b, -b - u = 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 1 = 10*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 280. Suppose -z - 102 = -l. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 23. Let s = 55 - 68. What is the remainder when 85 is divided by r(s)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32783.\nAnswer: 32783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58796 by 4.\nAnswer: 14699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155? (a) -139 (b) -0.12 (c) 5 (d) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/((-32556)\/(-9)*(4\/(-8) + 2)). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2207667*n**2 + 6*n - 185894?\nAnswer: -4415334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - -36654 - ((-30)\/(-9) + 6\/9).\nAnswer: 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29664, -28529, -26630, -23961, -20516, -16289, -11274?\nAnswer: -5465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(3\/(-86)*76\/57). Solve 3*x - t = -55 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 1 - 4*s + 1 + 1 + 4*s**3 to m*s + z*s**2 + x + o*s**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -15*w + 2. Let x(p) be the first derivative of -15*p**2\/2 + 3*p + 4. Let s(u) = -5*n(u) + 4*x(u). Is s(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11425246 (base 7) in base 4?\nAnswer: 3313310131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2492 + 9971\/4. Which is the third biggest value? (a) j (b) 1.53 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 484 times 0.0604\nAnswer: 29.2336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*1*4)**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)\/j)**(-18\/11)*(j\/(j*((((j\/((j*j**(2\/9))\/j))\/j*j)\/j)\/j)\/j))\/j**(-2\/9) assuming j is positive.\nAnswer: j**(80\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2624 - 0.101. Let q = -0.36 - v. What is q rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24026787 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5\/11 - 354*k**4\/11 - 260*k**3\/11 + 36906*k**2\/11 + 129496*k\/11 - 6720 = 0.\nAnswer: -7, -5, 1\/2, 12, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 413222895 divided by -82644579\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 - -254. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p. Let a = -31 - -30. Let o(w) = 2*w - 3*w**2 + 4*w**2 - 3*w**2 + 3*w**3. Calculate a*o(x) + 2*m(x).\nAnswer: -x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/36 + 99\/12. Does 36 divide 286\/8 + d\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 0.1, 29 in decreasing order.\nAnswer: 29, 0.1, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. Let i(b) = 92*b**2 + 3*b - 4. Is i(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)*d\/(d\/(d\/(d*d**(-11\/3))))*d assuming d is positive.\nAnswer: d**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14) - (351\/(-72))\/(3724\/112 - 7)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Is 3\/s*(-112)\/(-12) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**3 + 12*v**3 - 20*v**3 - 3*v + (v + 0 + 0)*(-v**2 + 2*v**2 + v**2) + 28*v**3 - 35*v**3 - 78*v**3.\nAnswer: -95*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssysoyysssssys?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.973 plus -233.5?\nAnswer: -232.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.642617 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2901*v + 475766. Calculate f(164).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-148)\/111)\/(8\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 131.88.\nAnswer: -132.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**0\/x)\/x)**(-1\/37)\/(x\/(x\/(x\/x**3*x))*x**(1\/2)))\/(x\/(x\/(x\/(x\/(x*x*x*x*x\/x**6))))*x**(2\/5)*(x**5*x*x)\/x*x**(-2\/5)) assuming x is positive.\nAnswer: x**(-329\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12819 + 12818.7. What is the biggest value in 0.1602, 0.2, d, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -77992, -155051, -232110, -309169?\n\"Answer: -77059*k - 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 855 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13665.\nAnswer: 3, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 - 507 + 10*i + 7*i - 16*i.\nAnswer: i - 637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 221101 (base 4) in base 3?\nAnswer: 10121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2530, -5046, -7560, -10072?\nAnswer: -12582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/(-2)*(-3)\/(-189)*21?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, s: 3, n: 2, e: 3, a: 5}. Give prob of picking 1 s, 1 e, and 2 t.\nAnswer: 63\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5641 = -4*k, -5*k + 27*q - 28*q = -7049. What are the prime factors of k?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/72*-215*(-45)\/21285?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 9:26 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/10 - 51*k\/10 - 5 = 0.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 2 + 15*q + 14*q**2 + 0 - 28*q. Let w(d) = 6*d**2 - 6*d - 1. Give 4*j(h) - 9*w(h).\nAnswer: -2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3523855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpkk when four letters picked without replacement from kpmkkkppmp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43536999 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 - -16011?\nAnswer: 15614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g + 212 = 0. Suppose 3*f - 451 = -g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0 - (11 - 5)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3752?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22936 or -114683\/5?\nAnswer: -114683\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.637 + -0.017. Let n = -0.8 + m. Round n to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52987\/51 + -1039. Let g be (20\/(-1))\/(4 - -1). Put m, g, -0.3 in increasing order.\nAnswer: g, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 203 and 7.\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z + 27 - 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8019 is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*a - 84, 0*a - 4*b + 14 = a. Let t = 36 - a. Solve -2*i = 3*i - t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 89*l + 1208. Calculate m(-14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4 + 88. Let b(o) = -o**2 - 7*o - 5. Let c be b(-6). Is k*(0 + -3)*c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.311 and -0.453.\nAnswer: 0.593883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 525463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (5 - 9)) + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -108622*z - 6734567. What is a(-62)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 999 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -4*a - 68. What is the tens digit of ((-8)\/16)\/(2\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*n + 99*n = -x - 35, 5*x = -5*n - 50 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*p = 43*p + 3538. Put 1, 3, p, -1 in increasing order.\nAnswer: -1, 1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34 and (-4760)\/(-29792)*(-221)\/(-5) + -7.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 2104*k - 14777.\nAnswer: (k - 7)*(k + 2111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1642 by 2637.\nAnswer: -1642\/2637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 31*l - 77220000. Round l to the nearest one hundred thousand.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:55 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 4*q - 6*q**2 + 5 + 6*q**2 as w*q**2 + p*q**3 + d + s*q and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - 11*q. Let k be y(5). Let t = 48 + k. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 107*j - 2944 = 77*j. Which is the closest to 0.2? (a) j (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(13) + sqrt(91)\/(sqrt(112) + sqrt(7)) + (sqrt(208) - (sqrt(208) + (sqrt(208) + 0)*4 + sqrt(208) - sqrt(208))).\nAnswer: -74*sqrt(13)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 3380630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*l - 13321 - 12879 = 0. What is the smallest common multiple of l and 1?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1068 * 10.334.\nAnswer: -11036.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 3:26 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -19*g**6\/120 - 2*g**3 - 3*g**2. Differentiate c(l) wrt l.\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 240 = 2*z. Suppose 0 = 2*n - 7*n + z. Suppose -n*o + 7*o + 3385 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 - -3. Let n = -1.7 + 5.7. Let k be 20\/(-84)*4\/(-10). Put n, k, m in ascending order.\nAnswer: m, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*d - 275 + 23. Calculate the greatest common divisor of d and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1417 - 1446.31. Let t = 30 + f. Let o = t + -0.6899874. Round o to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let l = -1.2 - n. What is the nearest to l in 2\/5, -3, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 38 + 38*p**2 - 21*p**2 - 14*p**2 - 31.\nAnswer: 3*p**2 - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**5 + 2905615*h**3 - 49769510*h**2?\nAnswer: 60*h**2 + 17433690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2907397726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 754, 728, 1 in ascending order.\nAnswer: 1, 728, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3233032*t**2 - 20 + 20.\nAnswer: -3233032*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*m**2 + 1995918*m - 23349460?\nAnswer: -10*m + 1995918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 362 + 15. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2. Suppose 8 = 2*b - 6*b. Let k(x) = -13*x + 5 + 6*x + 4*x + x + 3*x. Determine b*k(r) + 7*n(r).\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 5*b + 0*b - 3*w = -106, -4*b = -10*w + 284 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.1. Let h = -3 + 3.2. Put c, h, 3 in ascending order.\nAnswer: c, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37539 (base 11) to base 15\nAnswer: -10e77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:35 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-21 - 34) + (11 - 0 - 20)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*w - 4, 0 = -w - 4*k - 2 + 4. Suppose -5*z + 77 = -y, 86 = w*z + 3*z + 2*y. Is z >= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 16*m - 4. Suppose 3*q + 28 = -q. Let c be q\/(-21) + (-68)\/6. Is o(c) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134618, -269236, -403854, -538472, -673090?\nAnswer: -807708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 + -32. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2421260 - -3?\nAnswer: -2421254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-912))\/(223\/1614297).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**2 - 150*l + 18. Determine x(-16).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 25 = u - 22, -4*u = 3*x + 42. Let f be 4\/(-10) - (-106)\/x. Let c = f - -15. Let z(v) = v**2 - 4*v - 1. Determine z(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2152587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1510 = 2*v, -5*v - 128*x + 131*x = -3777. Let y = 1469 - v. List the prime factors of y.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 4*m + 28. Let w be l(0). Let v = w - 34. Let k(i) = -i**2 - i + 24. Let o be k(v). Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 15, z: 5}. What is prob of sequence zvvv?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4869485, 4869451, 4869401, 4869341, 4869277?\nAnswer: 4869215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-243)\/36))\/((-8)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125012541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21655*m**2 - m**4 + 4*m + 10*m + 21651*m**2 to o*m + b*m**3 + d + f*m**2 + u*m**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 - 4. Let a(i) = -4963*i**2 + 5 + 2477*i**2 + 2478*i**2. What is 4*a(l) + 5*s(l)?\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0*(-3)\/24. Which is the closest to 2\/7? (a) 0.4 (b) f (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26 - -20) + (-14 + 16)\/(1\/(-3)). What is the third smallest value in w, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 7:33 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -30. Suppose -4*s - 3*w + 11 + 21 = 0, q = 2*s - 2*w. What is the smallest common multiple of s and (-8)\/(-1)*3\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -56 + 7712 + -7731\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.607011 to 2 decimal places.\nAnswer: -115.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.17 + 17.83. Let n be 2 + (-18)\/10*(8 + -7). What is the third biggest value in -1, n, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57.138 - -57.22. Let t = -5083397 - -5083396.91799914. Let o = t + u. Round o to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 4}. Give prob of picking 1 a and 2 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.47 and 0.028.\nAnswer: 0.01316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108462760 + 15.\nAnswer: -108462745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611.4822 centimeters to nanometers.\nAnswer: 6114822000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 920985 divided by -70845\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -2*l**3\/3 - 369*l**2\/2 - 368*l - 126. What is the first derivative of s(a) wrt a?\nAnswer: -4*a - 369","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27735 greater than -652\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 34. Let g be m(-12). Let n(b) = b**2 + 10. Let y(x) = 6*x**2 + 50. Let l(p) = -11*n(p) + 2*y(p). What is the tens digit of l(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 54585, 54579, 54573, 54567?\n\"Answer: -6*y + 54591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27*(-6)\/378)\/((-2)\/14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 106*k - 8635. What is t(54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140349480 divided by -2.\nAnswer: 70174740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-93*r + 1 - 101*r + 167*r)*(121 + 123 - 145) in the form w + f*r and give w.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-8)\/t**4)**(-40))**(7\/5))**3 assuming t is positive.\nAnswer: t**2016","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3772897 or 3772931?\nAnswer: 3772931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5507779 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 19*h**2 + 2*h - 33. Let i be j(19). Solve -i*o = 2*p + 16, 3*p + 2 = -3*o - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13998 is divided by 1373?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 34*i**2 + 7*i + 10. Let g be y(-3). Suppose 3*h - 2318 = g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -819438 - 1.4\nAnswer: -819439.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*f**2\/21 - 10*f\/21 - 4.\nAnswer: 2*(f + 2)*(8*f - 21)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9319710 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 31\nAnswer: 22\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2652 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 + 0 + -1 + 0. Let t = -14 + q. Solve -4*y = t*c + 8, 2*y + 5 = -y - 2*c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42182 + 203*d - 42182.\nAnswer: 203*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 10*p**2 - p - 4. Suppose -9 = 26*t + 251. Determine k(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 1. Let z be v(-4). Suppose 0 = 2*m - 33 - z. What is the highest common factor of 80 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -15*g**3 + 6*g**2 + 12*g + 2. Let f(s) = -2*s**3 + s**2 - 1. Give -6*f(t) + k(t).\nAnswer: -3*t**3 + 12*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = c. Suppose -7 = -c*j + 2. Suppose -j*y - 11 = 4, 5*o - 15 = -2*y. Solve 4*x + 22 = 2*v, o*v - 3*x = -x + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 140004.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189, 196, 203, 210, 217, 224?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 2\/29, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0632 + -0.0573. Let f = r + 0.0941. Which is the closest to f? (a) -6 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0, 382, -38 in decreasing order.\nAnswer: 382, 4, 0, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/2 - 4*t**3 + 25*t**2 - 36*t - 3075. Determine p so that l(p) = 0.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 + b**2 - b**2. Let v(w) = w**2 - 6*w - 6. Let s(l) = l + 10. Let g be s(-3). Let i be v(g). Determine n(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 60. Suppose 5*b - a = 2. Solve -5*z + 2*z = -h - 3, 0 = -2*z - b*h + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from kjjkjlj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 0*p**2 + 14*p + 14*p**2 + p**3 + 0 + 5. Is d(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20353051 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(112) + sqrt(112) - sqrt(112)) + sqrt(112))**2 + (2*sqrt(175) - sqrt(175))**2 - sqrt(77)\/((1*sqrt(99))\/sqrt(9)))*-2.\nAnswer: -1248 + 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -43, -56, -65, -70, -71, -68?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**29\/(x**(-27)*x*x)*(x*x*(x*(x**23*x)\/x*x)\/x*x*x)\/((x\/((x**(-13)\/x)\/x))\/x) assuming x is positive.\nAnswer: x**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -s - 6*s - 3*m, 3*s = 5*m + 35. What is the highest common factor of s and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {c: 1, o: 3, g: 1, s: 2, e: 10, v: 1}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6 + -3. Let k = -0.419 - p. Round k to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13220666*i**3 + 171496*i + 86?\nAnswer: 79323996*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1842 = 5*j, -6*g = -2*g - 3*j - 7391. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 189b46?\nAnswer: 189b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r - 17. Let b be l(7). Suppose -2*o + 219 = -b. Suppose -5*f - 3*t + o = -290, 5*f = t + 438. List the prime factors of f.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12*b**3 - 19*b + 2 + 9*b**3 - 19*b**2 - 18 + 4*b**3. Let o be n(20). Factor -4*u**3 + 10*u**4 - 2 + 2*u**5 + 2*u + 4*u**2 - 20*u**4 + 8*u**o.\nAnswer: 2*(u - 1)**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 15. Sort 20, 2, l in ascending order.\nAnswer: 2, l, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 122061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20372, 38228, 56084, 73940?\nAnswer: 91796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 76 = -0*l + 2*l, 4*x - 156 = -3*l. Calculate the remainder when x is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25713756 and -67.57.\nAnswer: 25713688.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 11. What is n(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 1. Let y be l(1). Suppose 0 = y*h + 1 + 1, 4*h - 83 = -3*k. Let u(q) = 46*q + 756. What is the remainder when u(-14) is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + 0 + 7 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 122 in -3\/7, -2, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*b - 25 = -5*a, 0 = 5*a - 3*b - 89. Let r = a - 5. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 12 = -4*i, 1703508*l = 3*i + 1703498*l + 26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14110 (base 7) to base 5.\nAnswer: 110304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6)\/(-36)*(-6)\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -42 - 9. Let r be 16\/3 - (-175)\/(-75). Suppose r*k = p - 2. Solve -3*z + 31 = 4*c, -5*z + c + 41 = k*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, p: 2, w: 5}. What is prob of sequence wb?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let m(z) be the third derivative of z**5\/60 + 3*z**4\/2 + 109*z**3\/2 - 116*z**2. Let c be m(-19). Solve h*j - 3*p - c = 2*p, -2*j = 2*p + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -147\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 711*t = 698*t + 351. What is the remainder when 363 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Suppose -b*s - 81 = -7*s. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -323, -471, -619, -767, -915?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/10)*i\/i**(1\/8))\/((i**(-18)*i)\/i**1) assuming i is positive.\nAnswer: i**(759\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 4\/5, 0.4, 20\/39, -0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/100 - 643*m**4\/120 - 107*m**3\/15 - 249*m**2 + 6. Factor u(r).\nAnswer: -(r + 214)*(3*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l + 16. Give a(8).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 1339 + 3471. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a5 (base 13) to base 6\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 5*v - 3. Let i be (-1 - 1) + 13 + -4. Does 11 divide o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22493, 22480, 22467?\nAnswer: 22454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2809735.\nAnswer: 5, 561947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 439*s + 3. Let c(i) = 2*i**2 - 33949 + 33949. Determine r(c(v)).\nAnswer: 878*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 224601 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4803 is divided by 255?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:59 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535634511, 535634510, 535634509, 535634508, 535634507, 535634506?\nAnswer: 535634505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1499*s**2 - 3*s - 4. Let d = 1 + -4. Let o(c) = 1499*c**2 - 2*c - 4. Let w(y) = d*g(y) + 2*o(y). Let i be w(-4). Round i to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -2, 5153, -1, -0.087?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*m - 42*m - 2 + 23*m to the form l + b*m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172627.19000528 - -172625.39. Let g = z - -1.8. Round g to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2*3\/15). Suppose -6*q + 2*q - f + 197 = 0, -4*q = -k*f - 191. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 576764*d - 331*d**5 + 76 - 2*d**2 - 576764*d wrt d?\nAnswer: -19860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101000 (base 2) in base 5?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*l**3 + 20*l**2 + 3*l - 17*l**2 + 368*l**3.\nAnswer: 626*l**3 + 3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1804600441?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y - y)*(4*y - 4*y + 2*y**2) - 3 - 2*y**3 + 3*y**3 + 0.\nAnswer: 5*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 - 7297480*n + 2662660717520 = 0 for n.\nAnswer: 729748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 31. Suppose 0 = 4*x - n + 143. Is 9 a factor of -1 - 0 - x - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609*z - 4528992 = 381*z. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 357 - 435 = 0. Suppose 0 = -12*c + 9*c + w. What is the smallest common multiple of 4 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*h + 3. Let d(k) = -k**3 + 2*k**2 + 2*k + 4. Let c be d(h). Let t = 15 - -6. Solve -c = -4*g - t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1490 and 184462?\nAnswer: 922310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0\/s)**(3\/7)\/(s\/(s**(-2\/5)\/s))**(-31\/2))**(5\/4))**(-18) assuming s is positive.\nAnswer: s**(-11583\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1636*o**2 + 3251*o**2 - 1627*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmtwti. Give prob of sequence wt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(304) + -1)*-6 + sqrt(304) - (sqrt(304) + -1 + 0)**2 - ((sqrt(228)\/(sqrt(6)*2))\/(-4*(sqrt(2) + -1*sqrt(2) + sqrt(2))))**2.\nAnswer: -19155\/64 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 772544 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.375 + 36.025. Let u = y - 36. Put -0.4, u, -13\/3 in decreasing order.\nAnswer: u, -0.4, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {w: 7, e: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 276 + 1064. Suppose 0 = 4*v - p - 288, 0 = 2*v + 2*v + 4*p - f. Let l = v - 21. What is the remainder when 149 is divided by l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 20 + 37 + 30)*(169 - 169 + 28*u**2).\nAnswer: 2212*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 109134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5594 - 3865. Calculate the greatest common divisor of 91 and h.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + 13 + -4 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 44 = 3*i. Let u be (i\/45*-5)\/(-1). Is -1 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4357 + 52193\/12. What is the common denominator of t and 115\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c**2 + c**3 - 9*c**2 - 9*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -77820.83 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/265 and -29\/530.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -9. List the prime factors of (-1)\/(d - 84\/(-87)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let w = 1.69 + 0.41. Let l = w - 2. Which is the nearest to -0.1? (a) -5 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/17664 - -15960089\/1678080. Let c = 1\/95 - u. Calculate the common denominator of c and 19*(6\/(-20))\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7050\/(-39))\/(-5) - (-4)\/(-26) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8456 + 8458. Suppose -5*x + 32 = -3*x. Let p = x + f. Calculate the lowest common multiple of p and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1161*a - 1161*a - 4*a**2 - 30 + (-3 + 3 - 1)*(2*a**2 - 6*a**2 - 2*a**2) in the form z*a + q + x*a**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 15) in base 11?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -12. Suppose -4*l**2 + 4*l**4 + 2*l - 2*l**3 + p*l - 2*l = 0. Calculate l.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -118, -347, -688, -1141, -1706, -2383?\nAnswer: -3172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 960 = -9*k + 6*k, 18 = -3*y. Which is bigger: k or 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 22 + 2. Suppose -4*j = j - 10. Let k = 1 + j. Solve 0 = -k*c + q - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1876 and 208138.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009802 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 4. Let z be u(-4). Suppose z = w + w - 6. Suppose -4*d + 5 + w = 0. Which is smaller: 1\/2 or d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -61695.68194.\nAnswer: -61692.68194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 3*c - 4*c + (-1 + 1 - 1)*(-1 - 4*c + 1) - 45*c + 13*c + 20*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8876020*o - 79884180. Calculate m(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65538020 and 2580.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*s - 38, -k - 19 = 5*s + 6. Calculate the least common multiple of 21*(4 + 22\/s) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 656 - 651. Put 50, -1, n in ascending order.\nAnswer: -1, n, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -64 + 15. Calculate the smallest common multiple of v and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -18 + 23 + 58 - -6.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**5 + 49*m - 49*m)*(4 - 2 - 1) - m**4 + 2*m**5 + m**4 + (-4*m**4 + 2*m**4 + 0*m**4)*(3 - 3 - m).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1181 + 1179. Is i less than 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53807999 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -71*x**7\/42 + 59*x**4\/12 + 2*x - 66. Find the third derivative of w(o) wrt o.\nAnswer: -4260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74\/(-10) + (-177)\/295\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3\/3 - 676*g**2\/3 - 114917*g\/3 - 227138\/3 = 0.\nAnswer: -337, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-28)*4608\/14784\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152133)\/(-8949) - (-1 + (-1456)\/(-81)).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.094.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 100010101110001 (base 2) to base 9\nAnswer: 26342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61473 is divided by 61448.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/4*(-1 + 2). Suppose 3*t + 3*s - 21 = -b*t, 0 = t + 4*s - 1. Let w(m) = 3*m**2 - 7*m**2 + 5*m**2 + t*m**2. Let x(l) = 2*l**2. Calculate x(w(p)).\nAnswer: 200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c - 51. Let n be (7\/2 + (-8)\/16)*-3. Let o be y(n). Determine f, given that -15\/4 - 5\/4*f**2 - 25\/4*f + 5\/4*f**o = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 135 = -10*t. Calculate the highest common divisor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.068 - 2.068. Which is the smallest value? (a) 2\/11 (b) 5 (c) v (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179 is divided by 911.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20200100021001 + 11?\nAnswer: -20200100020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -6. Let r(n) = n**3 + 7*n**2 - 10*n - 5. What are the prime factors of r(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.34 rounded to 0 decimal places?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (423\/(-18))\/((-2)\/(-4)). Let z = -33 - j. Calculate the highest common divisor of 42 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4158.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 90\/12*(-31)\/((-2604)\/8)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 62*w**2 + w + 1. Let r(b) = 187*b**2 - b + 8. Let i(x) = 3*f(x) - r(x). Let h(a) = a - 1. Calculate 6*h(g) - i(g).\nAnswer: 3*g**3 + g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2. Let u(m) = m**2. Let j(q) = 3*u(q) - 2*v(q). Let t(i) = -4*i. What is j(t(c))?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7184806.\nAnswer: 2, 73, 49211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 374\/242*(-2)\/(-34)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 23. Suppose -r - 95 = 4*r. What is the smallest common multiple of 98 and p(r)?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3685894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, w: 2, u: 3, m: 6, c: 2, z: 2}. What is prob of picking 2 d and 1 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h - 2*h)*(-2*h**3 + 0*h**2 + 0*h**2)*(-2*h - 2*h + 3*h)*(0 + 0 - 1).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, n: 1, z: 1, x: 3, l: 1, c: 4}. What is prob of sequence lnrr?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*(z**7*z)\/z))*z*(z*z**(-2\/13))\/z)\/((z\/z**(-2\/11))\/(z**(-3\/2)*z)) assuming z is positive.\nAnswer: z**(2049\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 34. Let a = 0 - -0.2. What is the third biggest value in 1, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 159*r + 233. Let j be c(46). Let o = j - 2120709\/281. What is the second biggest value in 0.4, -2, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-51)*(-1)\/1*-3*2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 bigger than 0.002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -58, -80, -104, -130, -158, -188?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*(-70)\/(-49)*-7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1432)\/(-10) - 24\/120.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17568, -17553, -17538, -17523, -17508, -17493?\n\"Answer: 15*f - 17583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 349457\/90442 + -1\/4111. What is the common denominator of u and 33\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*(4 - 182\/42). What is the smallest value in x, -25, 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9107 - 0.9109497. Round r to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119019713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.9 + 18. Suppose 4*f - 5*h + 13 = -13, 25 = -3*f + h. Let d be 2\/6 + 3\/f. Which is the nearest to n? (a) -3 (b) -21\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100110001 (base 2) to base 8\nAnswer: -1461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 0 + 1)*(-8)\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 6, u: 6, c: 4}. Give prob of sequence hscu.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718795203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 4*b**2 + 5*b - 3. Let n be z(3). Let q(t) = 7*t**2 - 2*t. Let s be q(n). Suppose s = -3*c + 6*c. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 9) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a - 1 + 136*a**4 + 6*a + 3*a**2 + 4*a + 54*a - 66*a + 2*a**3 to u*a**2 + t*a + n*a**3 + i + s*a**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7 - 8*f**2 - 8*f**3 + 14 - 5*f + 6*f**3. Let q be y(-5). Suppose 262 = 3*z + 4*t, z + 2*t = -2*t + q. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 7. Determine q(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2. Let i(c) be the third derivative of -13*c**5\/30 + c**4 + 1265*c**2. Give i(r(k)).\nAnswer: -26*k**4 - 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1064, -2179, -3306, -4451, -5620, -6819, -8054, -9331?\n\"Answer: -q**3 - 1108*q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -3.171707.\nAnswer: 3.171707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/110*28\/(-42)*-69?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 22 - 18 = -5*w, 4*b + 44 = 16*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6985*j + 132988 + 541059 - 108262 for j.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21219 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26100 + -26095. Let b(i) = i**2 - 3*i - 2. Let a be b(4). Solve 3*s = -a*j + 13, s + 5 = w*j - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 8*u - 4. Let v(i) = i - 2. Let n be v(-5). Let l be p(n). Let j be (l + -1)\/2*25. Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3869, -3862, -3857, -3854, -3853, -3854?\n\"Answer: -u**2 + 10*u - 3878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49698.\nAnswer: 2, 3, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53869\/6 - 8998. Suppose 0 = 4*g + 28 + 72. Find the common denominator of g and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*f - 51*f - 53*f + 0 + 186*f - 3 - 55*f.\nAnswer: -21*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 10*i**2 + 8*i + 6. Let y(z) = z**2 + 18*z - 10. Let o be y(-19). Let d be q(o). Let h(p) = -p**2 - 3*p + 4. What is h(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*y - 108, -23*y + 18*y = -5*u + 270. Let n be (5 + -3)*y\/12. What is the smallest value in -1\/7, 1\/2, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -12.3. Let f = -8.3 + l. Let r = f + 1. Which is the closest to -3? (a) 1 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 2*w**5 - 5*w**5 + 8 + 40*w**5 - 8 + 2*w**5 + 0*w**5 + 0*w**5 + (3*w + w - 3*w)*(-5*w**4 - 2*w**4 + w**4).\nAnswer: 35*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 577 + 0?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, j: 6, o: 3, i: 1}. What is prob of picking 1 i and 3 j?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 + 8 + 177)*((4*o**2 - 3*o + 3*o)*(o - 3*o + 3*o) + 0*o**3 - o**3 - o**3).\nAnswer: 186*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 6*t**2 - 4*t. Let j be g(-6). Suppose -18 = -3*h + 3*a, 7*h - 3*h = -5*a + j. What are the prime factors of h\/8*(-16)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 2*t**2 + 2*t - 1. Let r be p(-3). Let l be (-1 - -2)\/(-1) - -9. Factor -12*z**4 + 8*z**3 - 3*z**5 - 2*z**r + l*z**5 + z**3.\nAnswer: z**2*(z - 1)**2*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1125 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104352 - 10052 + 54355 = -2287*t for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9753 and -36693.\nAnswer: -36693.9753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + h**4 + h**4)*(-h - 86 + 34 - 93).\nAnswer: 2*h**5 + 290*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2234.69 * 0.899\nAnswer: -2008.98631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10523202.\nAnswer: 2, 3, 1753867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/52 and 47\/32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 497.17 * -306.\nAnswer: -152134.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 551 + -599. Is (-664428)\/a + 10\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1 + m - m**2 + 0*m**2 - 2*m. Let o be p(0). Let b(k) = -8*k**3 + 2*k**2 + k. What is the units digit of b(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100345 (base 7) to base 8\nAnswer: -41133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-16) - -4 - 1)*1480\/26825?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*u + 1127*u + 2820 = -6231 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.44 + 4.44000427. Round n to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.2 + 33. Let r = 0.12 + -0.12. What is the nearest to 0.1 in k, r, -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2. Let o(u) be the second derivative of u**4\/12 - 149*u**3\/3 + 3818*u - 2. Calculate o(k(x)).\nAnswer: 9*x**4 + 894*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1 - (-15)\/9). Let d = 8 + i. Calculate the remainder when d is divided by (117\/(-18) - -7) + (-14)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 468 and 238223\/509 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -20\/9 = -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.037 (b) 0.3 (c) -0.35 (d) -2691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 62 + 17)*(2 - 5 + 8)*(1 - n**2 - 1 + (-2*n + 0*n + 3*n)*(-4*n + 3*n - n)).\nAnswer: -1185*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3018911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 225259729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8221*f + 7 + 16444*f - 8218*f.\nAnswer: 5*f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -42. Put 32, -2, j in decreasing order.\nAnswer: 32, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1075033706 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -342*4370\nAnswer: -1494540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (13 - 19 - (-1 - -2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/2 - 573*f**2 - 2271*f\/2 + 1710 = 0. Calculate f.\nAnswer: -380, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03633 + 4.33633. Which is smaller: 13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32269069*h**3 - 100630520?\nAnswer: -96807207*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, z: 3, u: 1, y: 3, p: 5, i: 4}. Give prob of sequence mzzp.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 62*h**2 + 2820*h - 17672\/3.\nAnswer: (h - 2)*(h + 94)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 446 and 11.\nAnswer: 4906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*g - 249, -8*p - 9 = -5*p. Put -1, g, 4 in decreasing order.\nAnswer: 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.2, 1\/8, 0.114, 881, -2 in increasing order.\nAnswer: -2, -0.2, 0.114, 1\/8, 3, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -5. Let y(s) = s + 4. Let f be y(2). Suppose -3*g + g = -f. Solve 0 = 2*m - n + h - g, -n = -m - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 12:48 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 8:11 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 - 11522902*j**2\/3 + 16597176097040*j\/3 - 16597141528352.\nAnswer: 2*(j - 2880724)**2*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((63\/(-90))\/(-7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037943856 to 4 dps.\nAnswer: 0.0379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let y(s) = -4*s**2 - 6*s + 8. Let j(i) = 9*i**2 + 12*i - 17. Let m(t) = 3*j(t) + 7*y(t). Let l be m(-6). Solve r*b + b - l = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16310 or -16312?\nAnswer: -16310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 479085194 and 7990?\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2032 - 2027. Solve -c*x = 15, -3*v + 15 = v - 5*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21245 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/20426 and -77\/99212?\nAnswer: 694484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i + 5*v, 0*i + 4*i = v - 28. Let j(y) = -2*y - 9. Let t be j(i). Suppose -o + t*o = 6. Solve 2 = -o*k + k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 524.14 or 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5542, 11126, 16722, 22336, 27974, 33642?\nAnswer: 39346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 - 71 - (-6 + 5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*i**3 - 40*i + 10*i - 2*i**2 + 21*i**3 + i**4 + 14*i**3 - 53*i**3 in the form t*i**3 + y*i**4 + q + a*i**2 + m*i and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = v + 3*t - 3, 1371*t - 1372*t = 4*v + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12679?\nAnswer: 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35127?\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + -3 + sqrt(17) - ((sqrt(272) - sqrt(17)) + -3).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 10, 5.6, -0.3 in decreasing order.\nAnswer: 10, 5.6, -0.3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11\/l**(11\/5)*((l**(-2\/5)*l)\/l)**(-16\/3) assuming l is positive.\nAnswer: l**(164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -17. Suppose 3*b + 2*b - 935 = u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**2 - 585 - 42*h - 582 + 1167 in the form z*h + d*h**2 + x and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1182, 2233, 3300, 4389, 5506, 6657, 7848, 9085?\nAnswer: 10374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1660*l**3 + 4980*l**2 + 1245*l. Let u(c) = 4*c**2 + c. Determine 2*m(x) - 2490*u(x).\nAnswer: 3320*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 18*r + 20. Suppose -5*s - 3*n - 69 = 0, -14 = 2*s - 5*n - 5. Is 14 a factor of c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2288 + -2264. Calculate the greatest common factor of s and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 3*c + 4*c + (-c + 2 - 2)*(1 - 3 + 1))*(248*c + 223*c - 342*c) in the form l + a*c**2 + k*c and give a.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8712703.\nAnswer: 43, 202621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 961326 and 961326?\nAnswer: 961326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263a (base 12) to base 4.\nAnswer: 1010032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/8*15\/(-12)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 1. Let n be m(1). Let r be (n\/4)\/((-3)\/(-144)). Let p = r - 16. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1609, -1623, -1647, -1681, -1725, -1779, -1843?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4*h**(6\/7)*h*h**(-8)\/(h\/h**6) assuming h is positive.\nAnswer: h**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*856\/(-4) + 3. Suppose -j - 2*j + x = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*q**3 - 96*q**2 - 105*q - 27.\nAnswer: 3*(q - 9)*(2*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2833, -5823, -8767, -11659, -14493, -17263?\nAnswer: -19963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)\/h*h**(-5))\/(h*(h*h**(2\/21))\/h*h*h*h**(2\/11)) assuming h is positive.\nAnswer: h**(-9265\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -35*h + 7. Let v(t) = -t + 1. Let a(d) = -o(d) + 6*v(d). What is the tens digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 2*l**3 - 4 + 2 - 6*l**2 - l**3 + 3 - 2*l in the form b*l + d + c*l**3 + p*l**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/3 - 2\/3. Let p = r + -7. Suppose p*q - 2 = q. Which is the biggest value? (a) q (b) -1\/4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + r**2 - 2*r**2 + 0 - 2*r**2 + 0 + 5*r - 5*r - r**2 + (-4*r + 3*r + 3*r)*(r + 0 + 0).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-3\/8)*a)*a**(-1\/2))**(19\/3))**(3\/13) assuming a is positive.\nAnswer: a**(-19\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 813167 and 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 95250 = -1897*k for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17839 less than 339276.27?\nAnswer: 321437.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 20 (b) -0.034 (c) 0.3 (d) 0 (e) 2 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 57.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from jdadaadddajdjajaa?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, y: 1, u: 2, t: 3, m: 2}. What is prob of picking 1 y, 1 m, and 2 t?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f + 11 = -5*z + 33*f, 2*z + 35 = 5*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (2*sqrt(1584))**2 - sqrt(1584) - sqrt(1584)) + 2*(6*sqrt(1331)*1)**2.\nAnswer: -96*sqrt(11) + 121172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117 - 115. What is the second derivative of -1067*c + 588*c + 589*c + 13*c**v wrt c?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 + 2 + -18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 10*g + 3*g - 11. What is the units digit of t(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1405*n**2 + 1457*n**2 + 1401*n**2 + 1395*n**2 - 5661*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 13*w + 10. Let n(f) = 8*f**2. Give g(n(m)).\nAnswer: 104*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*j = 2*j + 5, -3*b - 17 = 4*j. Let h = 4 + b. Let f = h - -6. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o - 7 = x, 3*x - 5*o = -21. Let z = -2 - x. Calculate the least common multiple of z and 1 + -2 + -2 + 12.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -296685\/521 or -568?\nAnswer: -568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1668\/451 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u. Let c(r) = 13*r + 32. Let o(q) = 27*q + 72. Let a(l) = -9*c(l) + 4*o(l). What is a(g(w))?\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-6)*15\/10. Factor 0*f + 2*f + 27 - 30 + 0*f**2 + f**h.\nAnswer: (f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, 3, 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 18*m**2 - 3*m + 3. What are the prime factors of v(-10)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.24, -1\/2, -0.6?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1962*f - 514034. Give x(262).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 178 = -9*m. Suppose -33*u + m*u = -2445. List the prime factors of u.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k**2 - k. Suppose 4*v + 12 = -3*n, -n - 3 - 1 = 4*v. Let o be 3\/(6\/n) - -3. What is the remainder when 28 is divided by y(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, f: 1, n: 2}. What is prob of sequence ex?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1189, 1188, 1179, 1156, 1113, 1044, 943, 804?\n\"Answer: -t**3 + 2*t**2 + 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50043874547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -289*u - 590. What is the tens digit of x(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26169 + 235523\/9. What is the third biggest value in 72\/5, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*a + 12576 - 1980, 5*a = -s + 10526. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 472?\nAnswer: 16520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1368, 2763, 4198, 5679, 7212, 8803, 10458?\n\"Answer: v**3 + 14*v**2 + 1346*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10329070\/23*(-6)\/(-10) + (16 - 9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2))\/sqrt(9) - (sqrt(15)\/sqrt(5) + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.277 rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 3 - (-2)\/(-2). Suppose -2*s + l + 4*l + 34 = i, l + 32 = 4*s. Let k be (-82)\/(-7) - (-2)\/s. Calculate the highest common divisor of k and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, y: 5}. Give prob of picking 3 f.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 812951 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -4*w. Suppose -n = 4*n + w. Let y be -2*(0\/(-1) - -1). Is n at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30423 + -3240?\nAnswer: -34213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-14) - 1470\/(-2058)) + 242\/(-24)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeehemhheeeheeehmeh. What is prob of sequence heme?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 40167?\nAnswer: 40165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6699 and -23\/264.\nAnswer: 53592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76642, -307038, -691188, -1229092, -1920750, -2766162, -3765328?\nAnswer: -4918248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**7\/840 - s**6\/90 - s**5\/24 + s**4\/4 + 2*s**3\/3 - 2*s. Let b(x) be the second derivative of u(x). What is b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11207699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144185843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/49539258 and 23\/326502.\nAnswer: 544931838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -53, -88, -123, -158?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from mjijmimmiij?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 5*r = -16*u - 9, -3*u - 5*r + 7 = 0. Suppose 2*z - 10*k = -13*k + 24, u*k = -16. Solve 10*p - z = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**3\/6 + 18*u**2 + u. Let m be n(0). Let l be -1*9*24\/(-18). What is the greatest common divisor of m and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105 in -42, -0.23, 0.2?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - y. Let r(u) = -2*u**3 + 182*u**2 + 2*u. Determine 2*p(h) + r(h).\nAnswer: -2*h**3 + 178*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 515 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39301385 times 0.1\nAnswer: -3930138.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 9*j**2 + j - 13 - 10*j + 0*j**3 + 12. Let g be w(-8). Suppose -4*s**2 + g*s**2 - 18*s**2 - 10*s + 5*s**4 = 0. What is s?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/45*612\/(-4))\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 + 1 = 0. What is the smallest common multiple of 2 and (4*-3)\/(u - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 m, 1 e, and 1 n when four letters picked without replacement from nujynume.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -12. Let y be 2 - -3*(0 - n). What is the tens digit of (y + -21)*(-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-16)\/(-6))\/(8\/(-24)))\/(-1). Suppose 3*y + 5*a = -s, y = a + 2 - 10. Does 47 divide y\/4 + 1719\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083 times -15018?\nAnswer: 1246.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**8\/(l*l**(-7)\/l*l\/(l**0*l)) assuming l is positive.\nAnswer: l**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -7 - -1 - ((-6 - -1) + 35).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2 - 2*s - 7. Let y be l(-5). Suppose -y*j = -j. Suppose 5*h - 138 = -z, -4*z + j*h - 4*h = -568. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*l + 3428, -3*y + 0*y + 679 = l. Suppose 373*c + 358*c + 5892 = 719*c. Let p = c + l. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*s + 1178678 = 258211 - 1384163. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -31*k**8\/20160 + k**6\/20 + 3*k**5\/10 - 22*k**2. Let p(q) be the third derivative of l(q). Differentiate p(w) wrt w.\nAnswer: -62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 16 = 2*v + 5*o, -20 = -4*v - o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16406293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 48, -27, 3.\nAnswer: -27, -5, 3, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30816 by -48.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 117853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1229205*m**3 - 1995333*m**2.\nAnswer: -7375230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 461, 1045, 1863, 2915, 4201, 5721?\nAnswer: 7475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1338 + -366. Calculate the greatest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 44*a = -149400. Does 83 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:17 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2 - 3*u + 3. Let h be p(1). Suppose 0 = 130*q - 132*q + h. What is the highest common factor of 160 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/769 - 1561\/17687. Let s = 52.2 - 78.1. Let j = -26 - s. What is the third biggest value in j, 0.3, c, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639953112?\nAnswer: 2, 3, 4289, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5\/6))\/(g**(-1\/7)\/g)*(g**2)**(-4) assuming g is positive.\nAnswer: g**(-281\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 260.7 - 16.7. Let y = 243.853 - p. Round y to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16682 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 85, 126, 167, 208?\n\"Answer: 41*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460237, -920473, -1380717, -1840969, -2301229, -2761497, -3221773?\nAnswer: -3682057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m**4 + 6*m**2 + 36. Let k = -23 + 24. Let w(s) = -s**2. Let h(q) = k*r(q) + 6*w(q). Differentiate h(p) wrt p.\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -220 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 25. Let h be (-8)\/6*(-6)\/f. Put -2.4, 2, h in decreasing order.\nAnswer: 2, h, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -47)*47628\/(-51030)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -198, -5, -1, 5 in descending order.\nAnswer: 5, -1, -5, -94, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*w**4 - 21*w**4 - 34 + 2*w**2 + 33 to l*w + d + g*w**3 + s*w**2 + u*w**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319501*i - 70 = -319506*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 84\/72 + (-1)\/(-3) + (-28)\/40. What is the closest to 80 in p, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 25*m**2 - 87*m - 47. Let p be r(33). Round p to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b71 - -115?\nAnswer: 8086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2\/2)\/((-1342)\/6039*2\/(-4))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2559 and 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.3, 1, 0.07, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -88 + -16 + (-3960)\/(-22)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34954594, 69909178, 104863762, 139818346, 174772930?\n\"Answer: 34954584*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 8*u**2 + 8*u + 9. Suppose -4*c + 2*v = 18, 4*c = -4*v - 7 - 41. Let r be l(c). Let w be 1*r + (-5 - -4). Solve w + 5 = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 456969516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482927, 482930, 482933, 482936, 482939?\nAnswer: 482942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**2 - 13*q**2 - 48*q**2.\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*q**2 + 2*q - 2*q - 9*q**2 - 37*q**2 in the form r*q**2 + c*q + g and give r.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 7*l + 2*j + 1250, -4*j = 4. 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: Solve 136 - 21 = -23*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -1 - 1) + 0 - -1) + (334107 - 334077)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 42. Let n be r(6). Suppose 22*u - n*u = -256. Calculate the least common multiple of 1 and 208\/18 - u\/(-72).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 811384389 to the nearest integer?\nAnswer: 28485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.19747?\nAnswer: -0.098735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -172*y + 174*y - 104, -5*v = y - 28. Solve -30*a = -38*a + y for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 4. Let s be z(6). Let n(j) be the first derivative of j**4\/2 - j**3\/3 - j**2 + j + 16. Give n(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*u - 5*t - 15, 3 = 3*u - 5*t. Let h = u + 32. What is the remainder when h is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.72 + -1.79. Let l = -0.7 - 2.9. Let f = l + 3.3. Which is the nearest to 0? (a) i (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -5 + (-5 - -4 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/5)\/(8\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7294806 is divided by 2431539.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27058 by 5.\nAnswer: 27058\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6541 - 6558. What is the closest to v in -0.3, -7, -4\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 4*v**3 - 2*v**3 + (-25 + 14*v + 25)*(v**2 - 3*v**2 + 3*v**2).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0 - 1\/420*q**7 + 0*q**4 + 1\/60*q**5 + 0*q**3 - 1\/240*q**6 + 4*q - 4*q**2. Suppose f(a) = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + 34 - 34 - 13*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e6 (base 15) in base 6?\nAnswer: -2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1 - 26\/(-2). Let k = -8 + w. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + (-3)\/(6\/4). Let i be (-13)\/(-2) + 3\/h. Factor -6*n - i*n**2 - 1 + 0*n**2 - 3*n**2 + n**2.\nAnswer: -(3*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -96791467, -96791457, -96791443, -96791425, -96791403, -96791377?\n\"Answer: 2*g**2 + 4*g - 96791473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 5*r**2 - 9*r + 2. Let s be j(-6). Suppose -s*u - 308 = -21*u. List the prime factors of u.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/5 + 2\/15. Let n = 3\/2 - q. Let i = -0.27 - -0.24. Which is the nearest to i? (a) 1\/2 (b) n (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 4*k + 22, 4*k + 3*d = -4. Let s = 5 - k. Let v = 9 - s. Which is greater: v or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*i*w**3 + 64*i*w**2 - 4*i*w - 106*i + 3836238*w**3 wrt i?\nAnswer: -4*w**3 + 64*w**2 - 4*w - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-3344)\/(-760))\/(-11).\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/226 - -5735\/904. Find the common denominator of r and 77\/1262.\nAnswer: 5048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1249.9999283 + -1250. What is m rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1711, -1955, -2157, -2317, -2435, -2511?\n\"Answer: 21*a**2 - 307*a - 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**3 + 2*k**2 - 20*k - 5. Let s(q) = 11*q**3 + 3*q**2 - 30*q - 8. Determine -5*s(o) + 8*w(o).\nAnswer: o**3 + o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 0 - -3) + -1 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, and 1 e when three letters picked without replacement from zuidqeq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 560\/(-2880)*6 + (-113)\/6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 14. Let m be 0 + -170*(b - 1406)\/(-3). Round m to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -633\/44?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89006895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 8*q + 66. Let y be k(5). Suppose 0 = -m - 4*t - 12 - 8, -4*t - 16 = 0. Let w = m + 12. Which is greater: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8776138 + -7?\nAnswer: -8776146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f - 140 = -8*f + 220 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2805*y + 3045. List the prime factors of v(28).\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2098 and 240221?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 267 (base 15) to base 10\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/15 + (-1568)\/(-60). Let t = k + -32. Let q(u) = -6 - 4*u - 3*u + 9*u. Let p(h) = -2*h + 5. What is t*p(f) - 5*q(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 2*b**2 + 9*b - 13. Let f be a(2). Suppose -6*n - 2*g = -n - 758, f*g = -2*n + 299. Let r = 158 - n. Solve x = -2*x - r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 317, 659, 1029, 1427, 1853, 2307, 2789?\n\"Answer: 14*l**2 + 300*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -12*g + 23\/2*g**2 - 17. What is the remainder when l(3) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 326*c**3 - 316*c**3 + 953*c**3 - 326*c**3 as b*c**2 + w + x*c**3 + h*c and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 3*t**2\/2 + 23*t + 99. Suppose v = 3*d - 6 + 5, -8 = 2*v - 3*d. What are the prime factors of y(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 81 (b) -3 (c) -2513 (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 3040?\nAnswer: 3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -132405, -0.14.\nAnswer: -132405, -0.14, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9249.774 times 5?\nAnswer: -46248.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/207721 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x. Suppose -3*v + 0*v + 5*n + 38 = x, 0 = -5*v - 5*n + 50. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775946547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12384594.\nAnswer: 2, 3, 47, 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 12*n**2 - 11*n + 16. Let b be d(-11). Let v(q) = -2*q - 47 + 125*q**2 + 50 - b*q**2. List the prime factors of v(1).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*1*-6*-3. Calculate the highest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-24)*196\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose -p - 3*k + 47 = n*p, -5*k + 1 = -3*p. Let l(m) = m**2 - 7*m - 8. Let c be l(p). Sort c, -0.3, 5 in ascending order.\nAnswer: -0.3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39941988391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and (-1)\/((-4)\/(-1)) - (-100605)\/228.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = -9*w + 227 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 311 + -4661\/15. Let k(l) be the second derivative of -1\/3*l**3 - 3\/5*l**5 + 0*l**2 - 1\/21*l**7 - 2\/3*l**4 - n*l**6 + 0 - 2*l. Factor k(i).\nAnswer: -2*i*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -33181\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -4*l**3 - 6*l**2 + 2*l - 3\/20*l**5 - 4 - 5\/4*l**4. Let u(p) be the first derivative of v(p). Factor u(m).\nAnswer: -3*(m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t**2 - 3*t - 2. What is m(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 127896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*c - 176 + 199. Let y(x) = -71*x**3 - x**2 + x - 1. Give y(c).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3679*p - 4536 wrt p.\nAnswer: 3679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**3 + 12*r**2 + 8*r = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/6)\/(48\/144). Which is the third smallest value? (a) u (b) -1\/2 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384125160 rounded to the nearest one million?\nAnswer: 384000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -4*z + 15, 0 = 3*z + 5*w + 1. Suppose -5*o + z*g = -140, 2*g - 7*g = o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117317886 a multiple of 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38888014, 38888020, 38888014, 38887990, 38887942, 38887864, 38887750?\n\"Answer: -y**3 + 13*y + 38888002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233659779279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13658.88*-0.6\nAnswer: 8195.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*t - 20 = 0, 2*s - 170 = -4*t - 192 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.258547 to 2 dps.\nAnswer: -29.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 + 363\/2. Do x and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -366998 divided by 349\nAnswer: -366998\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.17 + -6.17. Sort -0.2, 1\/4, h, -17 in decreasing order.\nAnswer: 1\/4, h, -0.2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19176 and 78?\nAnswer: 249288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-75)\/320) - (-4)\/6. Solve 5*i - 4*p + 7 = t, 4*i + p + 9 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**3 + 3*p**2 + 3*p + 2. What is z(-2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058736921?\nAnswer: 3, 11, 32082937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-6 - -3) + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175507 (base 9) to base 4.\nAnswer: 122213221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282\/18 + 4\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61412346*t**3*z - 2*t**2*z - 3*t**2 - 2*t*z + 1590*t - z - 48 wrt t?\nAnswer: 368474076*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.7 - 487.7. Let n = 481 + m. What is the fourth biggest value in 5, n, -5\/3, 29\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7447 is divided by 2475.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036819 to the power of 1\/2, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16269.\nAnswer: 3, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 55*n - 176. Give r(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/((209\/2211)\/19). Let n = -153 + 90. Let m = n - z. Let p(g) = g**3 - 5*g**2 + 3*g + 3. Give p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3510.3 - 3510. Which is the biggest value? (a) 5\/3 (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.6. Let z = 0.2 + d. Let w = -1 + -1. What is the closest to 1 in -3, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + ((-20)\/(-140)*-14 - (1 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-6) - 2 - (-240)\/(-252). What is the nearest to -2 in -3, p, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1115809*z**4 - z**2 - 368*z - 45.\nAnswer: 26779416*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/27 - (-2)\/(-3). Let r be -1 - 9\/(9\/(-3)). Let v be 160\/(-315) - r\/(-9). Put h, -2\/13, v in decreasing order.\nAnswer: -2\/13, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2862, -2789, -2664, -2487, -2258, -1977?\nAnswer: -1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 307 = 4*d. Suppose -3*j - 23 = -8, -5*u = 4*j + 70. Let w = u - -17. What is the remainder when d is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/(-112) - 213\/(-280)*-6 and 73\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6446.\nAnswer: 2, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-57) - (-36583379133)\/(-2527). What is c rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 3. Let c(h) = -h - 3. Let k(t) = -6*b(t) + 7*c(t). Let d be k(-4). Solve d = -0*i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*u - 29, 9 = 4*m + 7*u - 5 + 30 - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4313, 4368, 4419, 4466, 4509, 4548?\nAnswer: 4583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1\/3, -15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/((-2)\/(-16))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401501 is divided by 80298.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/33 + 6\/11. Let j be (-2)\/((-34)\/(-12) - 3). Let g be 6\/4*j\/(-45). Which is the closest to -0.1? (a) 0.4 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, 23, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -32925?\nAnswer: 32930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 2*g**2 - 3*g - 5. Let t = 23375 + -23380. Let l(m) = -m**3 - 2*m**2 + 2*m + 4. Give t*l(z) - 4*i(z).\nAnswer: -3*z**3 + 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 859\/1103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2) - 36\/(-8). Let o be -7 + c - (-3 - 53). What is the greatest common factor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 minus 0.4?\nAnswer: 277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**2 + 9*f - 12. Let g(p) = 13*p**2 - 17*p + 23. Let v(x) = 6*g(x) + 11*j(x). What are the prime factors of v(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s - 105 = 0. List the prime factors of s\/(-2) + 2\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18682 is divided by 2477?\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*h + 3\/8*h**4 + 1\/8*h**5 + 1\/8*h**3 + 0 - 3\/8*h**2 = 0. Calculate h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 415970*v - 3. Let l be j(1). Let x be l\/475*(-2)\/(-892). Let f = 32\/223 - x. Find the common denominator of -93\/2 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1014843 * 4.\nAnswer: 4059372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 2306?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 0.283 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:34 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (24\/20)\/((-42)\/20)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + -2957?\nAnswer: -2938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 2\/19 (b) -3.6 (c) 0.11 (d) -1\/142\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/5, -5, 7616 in decreasing order.\nAnswer: 7616, 9\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6590 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 615 or 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-30) + 63\/((-57645)\/(-51484)) - -16.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 + 20*l - 4. Is 14 a factor of x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161592297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l*(l*l*l*l*l**7*l)\/l*l)\/(l**(-4)\/((l\/l**(-4\/7))\/l))*(((l\/(l\/(l\/((l*l**0)\/l)*l*l)*l))\/l)**26)**(-8\/9) assuming l is positive.\nAnswer: l**(-475\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72009296 and 192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 714935 and 647.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(sqrt(242) + -2))**2.\nAnswer: -1100*sqrt(2) + 6152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(8 - 636\/81). Is a < 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421626\/(-9)*7*75\/(-350) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/(-300))\/((-32)\/230). Let a(s) be the third derivative of 0*s - 3*s**2 - r*s**4 + 0*s**3 + 0. Let b(x) = x. What is b(a(l))?\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 761 (b) -2 (c) 0 (d) 0.1 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.5188548 weeks?\nAnswer: 3.6319836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 - -2169\/13. Let v(h) = -h**3 - 4*h**2 - 5. Let i be v(-4). What is the third smallest value in j, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 2. Let j be o(0). Solve 0 = 2*c + n + j, -c + n = 2*c + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 1. Let d(s) = -4*s + 15. Let c(f) = d(f) - 3*n(f). Let t be c(9). Differentiate -15*y**t + 5*y**3 - 55 + 59 + 48*y**3 with respect to y.\nAnswer: 114*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {z: 2, u: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 13)\/(4\/(-2)). Suppose -o = 2*a - 29. What are the prime factors of (a\/(-8))\/((-6)\/88)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/125)\/(26\/195)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 39 - 9 = 0. Let z be 8\/u*15\/(-2). Calculate the lowest common multiple of z\/(-21) - (-304)\/14 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 10*u**2 + 13*u + 5. What is h(-11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98081735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2495 + 2455 + 2343*t - 4950 as k + m*t and give m.\nAnswer: 2343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2532 * -3.\nAnswer: 0.7596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7405*u - 29125. Calculate p(4).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187703, -188042, -188381, -188720?\nAnswer: -189059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 937 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 17 - 15 - (-12 - -2) - 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2282*r + 1312. Let n(c) = 6*c. What is n(h(v))?\nAnswer: 13692*v + 7872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -10 + (-2 - 9).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-1300))\/((-6)\/15)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 22*s**2 - 7*s - 34. Let v be h(13). Suppose 0 = 28*r - v - 75. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w. Let d = -22 + 19. Let v(m) = 7*m - 1. Let p(q) = d*v(q) - 5*g(q). Is p(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-377)\/(-232))\/((-91)\/(-14))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -11 + 2 + 10 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5aa78 (base 13) to base 6\nAnswer: -3323044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 915313483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -36*u**2 - 77*u - 236. Calculate z(-7).\nAnswer: -1461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -451*h**3 - 20*h**2 + 16*h + 892*h**3 - 445*h**3 + 80 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 3*x**2 - 17*x - 7. Let g be s(6). Suppose -3*r = 2*c - 8, 3*r - 5 = -3*c + 4*c. Let n be c\/(-4)*(-9 + 1). Sort g, 4, n in decreasing order.\nAnswer: 4, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 1, w: 1, l: 1, p: 1, t: 2}. What is prob of picking 1 u and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 136771, 2, -5 in decreasing order.\nAnswer: 136771, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 539 = 5*n, 5*l - 124 = -n - 0*n. Is 2\/2*n\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 915\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -11*b**5\/15 + 734*b**2. Let j(d) = d**2 + 6*d**2 - 9*d**2. What is w(j(h))?\nAnswer: -176*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -78 (b) 0.2 (c) -5 (d) -0.5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -12. Solve -3*z + 2 + 7 = 2*t, q = 2*z - 5*t - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 51.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*q**2 - 13*q + 13*q)*(4*q + 5*q - 5*q) - 293 + 295 - 2*q**2 + 0*q - 3*q - q**3 as i*q + v*q**3 + y + p*q**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.24589 and -206.2.\nAnswer: -209.44589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5920 divide 2447069103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -307787442317.65+0.03\nAnswer: -307787442317.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b + 85. What is u(29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.231523 millennia in decades?\nAnswer: 23.1523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Solve -o = -0*j - 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 6*t - 9. Let h be y(-6). Suppose 0*i = -2*i - 932. Is (i\/3)\/(6\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.06 times -9.7\nAnswer: -49.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 857 + -842. Solve -y = 2*r + r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:10 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.4 (c) -5\/4 (d) -8 (e) 0.5 (f) -207 (g) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l + 20. Let t be j(5). Let k be 4 - (t + (0 - -2)). Find the second derivative of -c**2 + 5*c + 9*c - 17*c**2 - 3*c**k wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9318, 9321, 9326, 9333, 9342, 9353, 9366?\nAnswer: 9381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 3*v**3 - v**3 + (-2*v + 2 - 2)*(2*v**2 - v**2 + 0*v**2) + (-44 + 18*v + 44)*(-195 + 92 + 98 - 4*v**2).\nAnswer: -73*v**3 - 90*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from cgcgccg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + t**2 + t**2 + (5*t - t - 2*t)*(t + 2*t + 0*t))*(-1 - 1 - 2)*(t**2 + 3 - 6 + 4).\nAnswer: -20*t**4 - 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 3. Let b = -2 + -5. Let g be a(b). Solve -4*o + 16 = -g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443260847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(28\/336)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + d = 300. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-4\/7)*y)\/((y*y**(4\/11))\/y))\/(y\/((y**(-1\/4)*y)\/y))**(-1\/6))**(-16\/5) assuming y is positive.\nAnswer: y**(-4706\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.044, 34, 0.11, 64, -2\/7 in descending order.\nAnswer: 64, 34, 0.2, 0.11, 0.044, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 1?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.2. Let z = 8 - 3. Let a = b + z. Sort a, 0.1, 0.5 in ascending order.\nAnswer: 0.1, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135*g**4 - 2*g**2*r - 31*g*r - 13 wrt g?\nAnswer: 1620*g**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000064 divided by 64?\nAnswer: -15626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7176 - 4080. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -63.25. Let h = m + 16. Let q = 0.45 - h. What is the closest to -1 in q, 1, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = 3*n. Suppose -3*w + 0*w = 0. Let p be w + (-2 - (1 - 4)). Sort p, n, -1 in ascending order.\nAnswer: -1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-3 - 5 - (-3 - -1)). Solve g - 26 = 6*g - 2*c, -15 = -s*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/320 and 29\/176.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/60 + j**2. Let a(o) = 22*o**2 - 8. Let k(d) = -15*d**2 + 5. Let n(h) = 5*a(h) + 8*k(h). What is w(n(f))?\nAnswer: 100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiiu when four letters picked without replacement from idiiiwdiiwwuiwdwiiw?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = -17*x + 168. Let q(w) = 2*w**2 + w - 2. Let p be q(-2). Is p != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 - -433. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = -5*b + 160, -4*b + 2*q = -128. Suppose b = 5*n - 33. Let y = n - -13. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215883174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -55440 divided by 30\nAnswer: -1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-5) - 6\/10. Let l = 89.03 - 89. Put 3, l, u in ascending order.\nAnswer: l, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 1387, 3114, 5521, 8602, 12351?\nAnswer: 16762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -3*w**3 - 15. Let t(c) = -c. Let h(d) = -d**2 + 3*d. Let n(a) = h(a) + 3*t(a). Calculate n(b(j)).\nAnswer: -81*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2. Let x(t) = 14*t**2 - 54*t**2 + 27*t**2. Calculate j(x(r)).\nAnswer: -676*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) - (-539)\/4. Suppose -5*o = 5*b - 0*o - x, 0 = -b - 5*o + 47. Is 0 + b + 0\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/2)\/((-1715)\/70))\/((-7)\/(-14)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 185*y**2 + 5782*y - 2642. Determine u(-145).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 4*v**3\/3 - v**2\/2 + 1. Suppose -q - 14 = -3*q. Let u = q + -8. Determine j(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*f - f + 37 = 0, 0 = -j - f - 7. Let l be ((-5)\/2 - -3) + (-25)\/j. Factor 6*b**2 - b**2 + 4*b + 4*b**4 - 9*b**2 - 4*b**l.\nAnswer: 4*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8749 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l + 10\/3*l**2 - 1\/12*l**3 + 108 = 0. What is l?\nAnswer: 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + 27. Calculate the remainder when w is divided by 6\/21 - 225\/(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -31) + -4 - 22?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*n - 5*y - 0, -2*n - 10 = -3*y. What is the closest to -1 in -5, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + 1 + 2 + sqrt(272)) - ((sqrt(272)*2 + 2)**2 + sqrt(272) + -2 + 2 + sqrt(272))) + -2.\nAnswer: -1098 - 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 2 + d**4 + 3 - 5*d + 7*d**2 + 3*d in the form b*d**4 + w + i*d**3 + n*d**2 + l*d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1952)\/366)\/((-2)\/3 - (-7492)\/11244) a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 e, and 1 b when three letters picked without replacement from {n: 3, e: 2, u: 2, b: 13}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2672, 2665, 2650, 2627, 2596?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urururuuruuuuuurrrrr. Give prob of sequence ru.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 584.3 + -584. What is the nearest to 0 in 3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmvppzmlvpzvvpppvlpm. What is prob of sequence zmvl?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + m + 5*m - 9 + 0*m**2 + m. Let t be j(4). Suppose 2*k - 4*k + 4 = 0, -3*d + 4*k + t = 0. Calculate the remainder when 98 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.3, -100, -4, -5\/62?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9756593 and 484.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8.7 (b) 38\/1011 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 626, 1253, 1880, 2507, 3134, 3761?\n\"Answer: 627*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**4\/24 + l**3\/2 + 109*l**2. Suppose -8 = q - 0*h + h, 0 = 3*q - 5*h - 8. What is d(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 12*o**2 - 18*o + 89. Let f be n(11). Let j(h) = -11*h + 29. Let w(r) = 6*r - 15. Let k(z) = 2*j(z) + 5*w(z). Is k(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-120) - (-20)\/80?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 15*u**2 + 26*u + 240. Calculate m(-16).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-429)\/33)\/52*(-1612)\/13.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*o - 4*o + 7*o)*(-5 + 1 + 3).\nAnswer: -7*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 753*g\/2 + 5896.\nAnswer: (g - 737)*(g - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 5*l**2 - 6*l - 4. Let a be y(-5). Suppose 0 = 13*t - a - 13. What is the nearest to t in -2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -19502721.7?\nAnswer: -19502721.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*n - 24*n - 18*n as g*n + s and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-10)*4)\/(378\/7)*1.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 97 = 3*l + 288, l = 5*v + 405. Let y be (-4 - -5)\/((-2)\/v). Suppose -c + 3 = -y. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 1 + -1 + (-5 - -2). Which is smaller: n or -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2677960 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**2 + 3*m - 5. Let j(s) be the first derivative of 7*s**3\/3 - 2*s**2 + 6*s + 216. Calculate 6*i(u) + 5*j(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5933 and -0.1013343.\nAnswer: -0.6946343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 2\/(3 + -1). What is the units digit of q*18 + 0 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*y - 8 = 0, -4*q + 16*y - 19*y = -28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 = -25. Let y(i) = i - 10. Let q be y(h). Let z = 0 - q. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12741885 and 57960?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 391372.26 + -102187.\nAnswer: 289185.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1111327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 776413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 11) in base 10?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-24) + ((-12)\/96 - 75\/(-252))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 10:20 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 362115 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212205 at most as big as 212319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**7\/735 + b**6\/210 - b**4\/42 - b**3\/21 + 16*b**2. Determine i, given that k(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*5 - sqrt(200)) + sqrt(2))**2 + 3.\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*c - 32*c = 76*c - 140*c + 6090 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6471)\/114*83288024\/(-3438330). Let a = o - 790\/114611. Let x = 1375 - a. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60409956 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1672\/44*2\/16)\/(1\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 116197.95.\nAnswer: 116198.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*p - 38*p + 36*p)*(2 + 2*p**4 - 2 + 0 + 0 - 2*p**4 + (p - p - p)*(-2*p**3 + p**3 + 2*p**3) - 2*p**4 + p**4 + 3*p**4 + 3*p**4 - 2*p**4 + p**4).\nAnswer: 123*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412578628.\nAnswer: 2, 7, 11, 31, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1091 - -2039. List the prime factors of l.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfkkffzkbbnzzfnbkkf. What is prob of sequence zb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 6*f**2 - 8*f - 5. Determine o(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-3.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 36 = -11*l. Differentiate -17*x**2 + 10*x**2 + 7*x**l - 57*x**4 - 54 wrt x.\nAnswer: -228*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 273 - 518. What is i rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.27?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-771 - 94 + 1895)*(4*m - 5*m + 2*m) as b + w*m and give w.\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*b - 4, 16*b + 8 = 20*b + 3*o. Let u(x) = -2*x**2 - x + 2. Let j(w) = 9*w**2 + 6*w - 11. Calculate b*j(s) + 11*u(s).\nAnswer: -4*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/3 - -3)\/1. Suppose h*k - 127 - 413 = 0. What is k rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3199 or -3204?\nAnswer: -3199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*y - 15 = 0, 2*u - 8*y - 6 = -3*y. Let -u*n**2 + 2*n**2 - 2*n**2 - 2*n**2 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l + 1. Let j be 2*(0 + (-2)\/4). Suppose -1 = -3*x + 5. Calculate the least common multiple of x and g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711?\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112297 is divided by 685.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -8. Let j = q - 18. Sort 7, j, -4 in increasing order.\nAnswer: -4, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014109037 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 + -34569.48?\nAnswer: -34569.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*g + 83516 - 1623976. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*w**2 - 18\/7*w + 0.\nAnswer: 2*w*(w - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/270 and ((-254926)\/10206 - -25)*(144\/15)\/4.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 15\/4 (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/2*46\/2. Let p = 43 - h. Put 2, p, 7 in ascending order.\nAnswer: p, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487123?\nAnswer: 7, 13, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i - 23*i + 36*i)*(-i**2 + 5*i**2 - 3*i**2 + (2*i - i**2 - 2*i)*(1 + 1 + 0)).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12832 is divided by 620.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 27 - 12 - 15 - 8*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*((-15)\/(-6) - 2). Let g be -4 + 52\/q + -4. Determine u so that 0*u**3 + 2\/3*u**4 + 0*u + g - 4\/3*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121 + -130332311230?\nAnswer: -130332313011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50365.6 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011110110011 (base 2) in base 14?\nAnswer: -52a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89766, 89762, 89758, 89754?\nAnswer: 89750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 180*s**2 + 3600*s - 24000.\nAnswer: 3*(s - 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 19, 22, 27, 34, 43, 54?\n\"Answer: v**2 - 2*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1002428062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*n - 99*n + 31 = 2*f, -f - 19 = 5*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 96?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i**3 + 1\/108*i**5 + 0 - 3*i**2 + 0*i + 1\/108*i**4. Factor c(m).\nAnswer: m*(5*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 7:57 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 1, l: 5, c: 1, i: 5, u: 1}. What is prob of sequence iy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00372832 to five dps.\nAnswer: 0.00373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**3\/3 + 35*w**2 - 16*w. Let h be f(0). Suppose -h = b - 196. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1101, -4449, -10041, -17883, -27981?\n\"Answer: -j**3 - 1116*j**2 + 7*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -3*y**4\/4 + y**3\/2 - 3*y**2 + 190*y + 7. Let l(i) = -19*i**2 + 7*i - 13. Determine -6*l(z) + 13*v(z).\nAnswer: -3*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.415911 times 3?\nAnswer: 1.247733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5769795 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: What is 355 divided by 67?\nAnswer: 355\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44233, -44240, -44247?\nAnswer: -44254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650397366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6 - 0. Suppose -f*l + 2 = -l - v, 4*l - 4 = 3*v. Suppose -3*r + l = -11. Solve -p + 4*p = -2*q - 16, r*p + 24 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -303, -271, -219, -147, -55, 57?\n\"Answer: 10*c**2 + 2*c - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1882*p - 1315*p = -5617*p - 160784 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*x**5 + 745*x**4 - 11*x**3 - 38008*x**2 - 3*x?\nAnswer: 900*x**2 + 17880*x - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 12:07 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4889369 by -4.\nAnswer: 4889369\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20*8\/(-20) + -6. Suppose 0 = -y + 5*x + 1460 - 440, 5*y + d*x - 5073 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 9*l**3 - 28.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38235*y + 38249*y - 203 = 63 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 212?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102135040 (base 6) to base 7.\nAnswer: 202560102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 226 + -225. What is the closest to 9 in z, 0.2, -4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 258.7 - 234. Let n = 23.7 - k. Let z = 4.1 + -0.1. Which is the nearest to 0? (a) n (b) 2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 5*z - 1. Let h be f(4). Let s(n) = 8*n - 10. Let u(b) = 3*b - 3. Let x(q) = 4*s(q) - 11*u(q). Give x(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Suppose -5*m = 4*g - 0*m - 25, h = -g + 5*m - 25. Suppose g*z = -8*z + 40. Solve -1 = z*a - 5*j - 6, -j = 2*a - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313120 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4) - (-10)\/8. Let h be v\/(6\/8)*3. Solve -d = 3*a - 4, -d - 2 = 5*a - h*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 953 + 155. What are the prime factors of c?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 4.1. Let p = -39.707 + 39.507. Which is the second biggest value? (a) -23 (b) p (c) f (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160392657 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -56. Let i = j + -15. Suppose -5*h + i + 26 = s, -4*s = -h - 7. Solve s*t + t - 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Calculate -141 - (173 - 235) - (1 - 2).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 7\/3, -11, -5\/6, -2, -1.8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/5, -0.4, -0.009, -2\/15, 7, -1\/5?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 47*l**3 + 53*l**3 - 177*l**2 - 99*l**3 in the form h + s*l**2 + k*l + w*l**3 and give s.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6170000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -23*k**3 + 2*k**2 - k. Calculate m(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8))\/((-87)\/(-24) - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211898 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 6408 = -3*i - 76668. List the prime factors of i.\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 31. Let x = t + -12. Is -2 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 4 - (-18)\/(-14). Suppose 6*r - 3*r = -15. Let l be 3*r\/(15\/2). Put l, y, 0 in ascending order.\nAnswer: l, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8330 divided by 9068.\nAnswer: 4165\/4534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*1\/(-4)*-2 + 3. What is the derivative of -2 + 11*s**3 + 0 + w + 5 wrt s?\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2580 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5937.007383 + 5937. Round j to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - s = -65943, -4*l = -1074*s + 1069*s - 131921. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -1457?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126 + -239. Let u = z - -113.3. What is the closest to 1 in 1\/5, u, 0.07?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64065\/32 - -2001. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 3, u: 1, v: 2, d: 10}. What is prob of picking 1 u and 2 y?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - o + 3220 = 0, 2 = -97*o + 99*o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, h: 12}. What is prob of sequence chh?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1442696, 5770772, 12984234, 23083082, 36067316?\n\"Answer: 1442693*q**2 - 3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:42 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + o + 6 = -17, z - 5*o + 752 - 780 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2978 - 1106 = -78*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 62, -5 in ascending order.\nAnswer: -5, -3, -1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232.421 rounded to the nearest integer?\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 260\/24 + 2\/12. Suppose 4*i - 1 = m. Suppose -3\/2*o**4 - 1\/2*o**2 + 1\/2*o - 5\/2*o**i + 0 = 0. Calculate o.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-3)\/(-2) + 420\/(-80)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -497*r**2 - 20*r + 21. Give d(1).\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 6*u**3 + 5*u**2\/2 - 10*u + 27. Is t(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-12)*(-192)\/(-48).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -276605 and -3.\nAnswer: 829815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 - -394. Suppose 2*w = -5*c + 270, -2*w - c + j = -93. Suppose 4*m - w = -4*o, -3*m + 76 + 63 = 4*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 10. Let j be z(8). Let t(d) = -2*d + 11*d**j + 5*d - 3*d. Let p(w) = 2*w. What is t(p(s))?\nAnswer: 44*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60415 is divided by 60405.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, n: 2}. What is prob of picking 2 n and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(102)*-2 + sqrt(102)))\/sqrt(6))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s. Let t(j) = 2*j - 2*j + 6 + 5*j. Let p(g) = -g - 1. Let f(k) = -6*p(k) - t(k). Determine x(f(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -629, -943, -1257, -1571, -1885?\nAnswer: -2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -44 + (-20 - -34)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 10*o**2 + 9*o - 14. Let d be w(-11). Let x(k) = 7*k + 6*k**2 - d + 7*k**2 + 5*k**2 - 17*k**2. Give x(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.1 + -1. Let x = m - 0.1. Suppose 44 = -21*c + 10*c. Sort 0, c, x in ascending order.\nAnswer: c, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = r - 3295, 2*r - 13*v - 6686 = -17*v. Calculate the remainder when r is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-8 - 2 - 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e930 (base 15) to base 13.\nAnswer: 70767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 129*f**3 + 16146*f**2.\nAnswer: -f**2*(f - 207)*(f + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**3 + 3*q**2 - 2*q + 1124. Let k(c) = 5*c**3 - 4*c**2 + 3*c - 1124. Let a(v) = 3*k(v) + 4*u(v). Let w be a(0). Let m = w - 795. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -4*m - 5*u, 0*m - 5*m - 2*u + 141 = 0. Suppose m = 8*p + 11. Which is the third biggest value? (a) -3 (b) -1\/2 (c) -6 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - k - 96 = 0, -k = -3*k - 6. Solve 0 = 4*n + 23 - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 176 (b) -3.51 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65\/276 + -1\/69. Which is smaller: q or 0.86?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + 4*sqrt(833)))**2.\nAnswer: 5600*sqrt(17) + 333600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 33 = 5*h. Suppose -3*f = -i + 241, i + h*f - 711 = -2*i. What is the greatest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.506105.\nAnswer: 0.1518315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75 (b) 2\/13 (c) 0 (d) -1\/3 (e) -0.3 (f) 5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**5 + 21*u**4 + 26*u**3 + 12*u**2 - 5*u + 10. Let k(a) = -a**5 - a**4 + a - 2. Let g(x) = 5*k(x) + z(x). Let g(r) = 0. Calculate r.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w\/((w**2\/w)\/w)))*w*((w*w**(1\/18))\/w)\/w)**5 assuming w is positive.\nAnswer: w**(185\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*f**3 + 6\/5*f - 8\/5*f**2.\nAnswer: 2*f*(f - 3)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*r**2 + 10 + 488*r**2 - 10 - 34*r**2 to x + c*r + o*r**2 and give o.\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7455539?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 9\/(-6))*(-64)\/(-96)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 65365\/(-51) + 1\/(-3). Let u be (126\/36)\/((-1)\/p). Suppose -3*r + 2*r + 5616 = 5*a, 4*a - 5*r = u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus 41?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 52*q = -402 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62187013 or 62187014?\nAnswer: 62187013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*n + 1. Let r = 1255 - 722. Let c = 515 - r. What is the nearest to 1 in c, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auxvhvbuavuh. Give prob of picking 1 a and 1 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5103*i + 5100*i + 3*m = -357786, -4*i + 477043 = -5*m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -3\/4*w**4 + 0*w**2 + 0*w + 6 - 1\/5*w**5 - 2\/3*w**3. Factor p(b).\nAnswer: -b**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -62*b + 36. Let z be f(-9). Suppose -z = -20*g + 14*g. Is g a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*a**2 - 241*a**2 - 160*a**2.\nAnswer: -267*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 6:07 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 276 = 14*g. Calculate the remainder when 88 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 2.2\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*b**3 - 725*b**2 + 12810*b.\nAnswer: 5*b*(b - 42)*(2*b - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 14*l**2 - 12*l + 12. Let i be w(-13). Let n be i - (6\/(-4))\/1. Let 1\/2*g**3 + 1\/2*g**2 - 1\/2*g - n = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let q(u) be the third derivative of u**6\/60 + 7*u**4\/12 + 39*u**2. Let a(b) be the second derivative of q(b). Calculate n(a(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.34 times -0.05631?\nAnswer: 1.5958254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/24)\/((-3)\/(-1248)*16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 14*i**2 - 36*i + 36. Suppose -5*m - 24 = 156. Let r be a(m). What is r rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882*o - 104 = -895*o. Let d = -83 + 105. Calculate the least common multiple of o and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -9. Let f = r - 3. What is the remainder when (-3)\/(-12) - 54\/(-8) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3811 and 824?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2924983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5 - 160724*n**2 + 160727*n**2 + 5. Let v(d) = -6*d + 30. Let u(k) = 1. Let a(s) = 90*u(s) - 3*v(s). Calculate a(o(x)).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/5)\/((-408)\/2312)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3514 divided by -4?\nAnswer: 1757\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + 0.9. Let s = 6 + -6.01. Let q = s + 0.21. What is the smallest value in a, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 43167 - 9*o - 21585 - 21582. Let b(j) = j**2 + 2*j**2 - 2*j**2. Give b(s(k)).\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736979195 less than -161?\nAnswer: -2736979356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-1)\/((-2)\/4). Let l(x) = 19 + 25 - 46 + 4*x**2 + 5*x. Does 31 divide l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*d = -5082, d + 0*d = -4*m + 5081. Is 33 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiek when four letters picked without replacement from keekiketeke?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 7) to base 11\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 + 6906*q + 258096 = 0. Calculate q.\nAnswer: -2264, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*n + 326, 4*n + 74*r - 251 = 75*r. Solve -40*p - 99 = n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/12)\/(6\/(-54)*(5 - 14))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 2}. Give prob of picking 1 d and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - a = 2, 10 = 3*q - 4*q - 3*a. Find h, given that -3\/11*h**q + 1\/11*h**3 + 4\/11 + 0*h = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2026.55 + 2026. Which is smaller: t or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(1 + (-50)\/44). Let h = 40 - q. Suppose -g + h = g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 9*g**2 + 12*g + 14. Let x be q(7). Suppose x = 10*n + 95 - 665. Calculate the highest common factor of n and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.93 + -2. Let o = n - 0.03. Put o, -0.5, -3 in increasing order.\nAnswer: -3, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 divided by -365?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -66. Let f = -30 - j. Let x = -1.3 - 3.7. What is the third biggest value in 1\/5, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + v**2 - v + 5. Let q be ((-100)\/(-6))\/((-8)\/84). Let z = q + 175. What is t(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*p + 4 = -31, -15 = 3*p. Let a be i\/14 - (-226)\/14. Suppose j - 5*j - 2 = -2*c, 0 = 5*c + j - a. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.898 - -0.898. Which is the nearest to -7? (a) -4 (b) t (c) -2\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -444 + 424 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 330 = -164. Calculate the remainder when 51 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(91)*5)\/(sqrt(847) - (sqrt(847) + sqrt(847)*-2) - sqrt(847)) - (sqrt(104)\/sqrt(2)*-6 - 5*(sqrt(104)\/sqrt(2))\/sqrt(4)))**2.\nAnswer: 530452\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*r - n, -26*r - 5*n = -25*r - 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 1:04 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 2*n**5 - n**2 + (-2 - 3*n**2 + 2)*(3*n - 3 + 3)*(0*n**2 - n**2 + 0*n**2).\nAnswer: 11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20357.38 + 143322\nAnswer: 122964.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10459164 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -13. Suppose -6*c + a + 8 = 0. Suppose -v - c*h = 7, 2*v - 1 = -0*v - h. Solve 5*q = -2*n + 28, 4 = n - v*n + 3*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -4, 0.2, -0.5, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*i - 17, -2*i - 46 = -4*y - 0*i. Solve -15 = -5*h + 3*r, -3*h - r = -7*h + y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 1)*(-3*n + 6*n - 2*n) + 997 + 149*n - 997)*(12*n**3 - 18*n + 18*n) - 4 + 4 - 2*n**4.\nAnswer: 1762*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 240\/(-6)*((-78)\/520)\/(42\/245*1)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3*19\/57)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-714)\/(-187) - (-226)\/154. Let z = 14078\/23 + -612. What is the second biggest value in k, 4, z, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40829 divided by -5806?\nAnswer: -40829\/5806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1280 = -3*m, -5*s + 0*m = 2*m - 1600. Suppose 5*l - s = 4*a, -l + 0*l + 4*a = -48. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3. Let n be b(1). What is the second derivative of -5*s**n - 2*s**4 + 5*s**2 + s wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 8*b**2 - 2. Let f be y(-8). Let g(j) = 5*j + 2. Let h be g(f). Let u = -6 - h. Put 0, u, -4 in descending order.\nAnswer: u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 2*j**2 + j + 2. Let y be (-2)\/(-2) - -2 - -2. Suppose -y*n + 6 = -4. Give s(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 21*w - 61. Is y(12) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p = -378 + 387 - 819 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23336*z + 3 = 23337*z, 7*z - 1 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16629407?\nAnswer: 71, 234217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 11*k = 8. Calculate the least common multiple of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -8*y**3\/3 - 2030. Let o(f) = 494*f - 52. Let n(p) = -47*p + 5. Let d(x) = 52*n(x) + 5*o(x). Calculate d(u(h)).\nAnswer: -208*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -42.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iydyiwydivwwiy. What is prob of picking 1 w, 2 d, and 1 y?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*a - 1 + 1 + (3 - 1 + 0)*(-11 + 11 + a) as w + n*a and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 20 = -113. Let h = -14 + 24. What is the remainder when h is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -747, 14, 1283, 3060?\nAnswer: 5345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**2 + 8*g - 120. Let l(b) = -b**2 - b + 10. Let h(t) = -12*l(t) - p(t). Let z = -6 - -2. Let y(o) = -7*o**2 - 5*o. Give z*y(w) - 5*h(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125355*g**3*n**2 - 90*g**3 + 3*g**2*n**2 + 8*g**2*n + 28*g**2 - 8*g + 7*n**2 + 8*n wrt g?\nAnswer: -752130*n**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 15, f: 4}. What is prob of picking 1 f and 1 d?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = -241*q + 240*q + 3*n, 0 = 2*n - n - 56 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06372 to 3 decimal places.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -274*k**3 + 138*k**3 + 799*k + 137*k**3 as i + d*k + a*k**2 + w*k**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/253 (b) -4 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -3, 3, 43.\nAnswer: -14, -3, 1, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, -8\/9, -5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 8:12 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.035*796256.\nAnswer: 27868.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -286 + 288. Which is the closest to 3\/4? (a) v (b) -0.1 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2530\/(-138)*21\/35.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*3*(-19)\/(-190)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(175 - 46) + 94\/12?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4383*m + 16827*m - 1939*m + 18783*m.\nAnswer: 29288*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46.7 and -37.2.\nAnswer: 1737.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1197 - 855. Calculate the greatest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.47 and -79087787?\nAnswer: 79087791.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 14*n**2 - n + 8. Let u be b(14). Let p be 28\/(-7)*3\/u. Solve p*v + d = -10, 3*v = v + d - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -3)*5\/(-2). Let l = -11 - 53. Let x = l - -63.7. Which is the nearest to 2? (a) -2 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(27\/30*1). Let v = i + -1. Let k = 1\/6 + 4\/3. Which is the closest to -1\/4? (a) k (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5174 + 997?\nAnswer: 6060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3431976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 36 = -0*o. Let f = o + 16. Solve 3*b = 4*b + f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*x + 2172, -5*u + 0*u + 2166 = 2*x. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 + 89 + 50*f**2 + 10 - 99.\nAnswer: 66*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 less than -0.07149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 14*i**3 + 588*i**2 - 13720*i + 76832.\nAnswer: -(i - 14)**3*(i + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 70*1265\/33810*((-14)\/(-105))\/((-4)\/(-54))?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -13. Suppose 3*v - 12 = k, -2*a + 2*v + 6 = v. Suppose -n = i - 17, 3*n = a*i + 51 + 16. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*c + 25 = -51, -30 = -2*k + 4*c. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 1. Let y be h(4). Let g be (-783)\/(-144)*4 + 1\/4. Let x be (-9)\/((-594)\/(-12)) + (-40)\/g. Sort 8, x, y in decreasing order.\nAnswer: 8, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4515)\/(-315))\/((-1)\/(-3)). Solve 51*c - h*c = -24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*p - 12, 0 = -2*h + 2*p - 0*p. Is 1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605321.73 rounded to the nearest 1000?\nAnswer: 605000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-2724 + 499 - 883)*(3*n**5 - 2*n**5 - 3*n**5) - n**5 + 4*n**3 - 4*n**3.\nAnswer: -12433*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:11 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 198*b**3 - 3*b**2 + 1. Let p be h(1). What is the units digit of (p\/35)\/(4\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*p - s - 32, 3*s + 60 = 3*p. Let a(c) = p*c**2 - 61*c**2 - 18 + 3 - 7 + 22*c. Let q(w) = 2 - 2*w + 5*w**2 + 3 - 2 - w. Give 6*a(l) + 44*q(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12310 - 2?\nAnswer: 12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 + 6. Let l(i) = 55 + 14*i**2 + 126*i**2 + 64. What is -6*l(n) + 119*s(n)?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -929, -2\/3, 3.6, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -519 - -306. Let t = 221.9 + g. Let x = 11.9 - t. Put x, 2, -1\/7, 3\/8 in ascending order.\nAnswer: -1\/7, 3\/8, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 3:29 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + (-3)\/(0 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 9 + 0 + 8 - 21*f in the form r*f + c and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1666 is divided by 1098.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -8.84. Let y = -0.06 - i. Let n = -2 + -2. Which is the third smallest value? (a) -2\/7 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-12)\/54)*(-40)\/(-128)*80\/20?\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 4 - 2) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3842*g + 231. Let t(o) = -3796*o - 231. Let j(r) = 2*d(r) + 3*t(r). What is the first derivative of j(h) wrt h?\nAnswer: -3704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278960, 46, -5 in decreasing order.\nAnswer: 46, -5, -278960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 14 + 17 + 0*p)*(3*p**2 - p**2 + p**2).\nAnswer: 9*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7793, 15651, 23575, 31565, 39621?\n\"Answer: 33*a**2 + 7759*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -569 + 569.312. Let w = g - -73.688. Put w, 1\/3, -1 in descending order.\nAnswer: w, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188881?\nAnswer: 7, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/15 - 7*o**4\/3 - 98*o**3\/3 + 2*o**2. Factor m(t).\nAnswer: -4*(t + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(27)\/sqrt(3))\/sqrt(3) - sqrt(3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2 + 3. What is the remainder when 13 is divided by 7 + (4 + t - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 4*u**2 + u - 1. Let v be t(-3). Suppose 0 = v*d - 12*d + 126. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(0 - (3 - 7)). Which is smaller: z or -15\/7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/258 and -137\/96?\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11622691 to the nearest integer?\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (4*sqrt(3888))**2 - (5 + -4*sqrt(3888))).\nAnswer: 864*sqrt(3) + 373206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31201 (base 4) to base 5.\nAnswer: -11430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - ((-6)\/2 - 0). Suppose 4*w - 6 = l*d, -2*w + 3*d = 5*d - 18. Solve -2 = -4*i + 3*i, 5*a + 3 = w*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-1965)\/45 + 3)*12\/(-8)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44225507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10508 = -4*d, -5*d + d + 10512 = -m. List the prime factors of d.\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909 - 1821 + 913 - 6098*s**2.\nAnswer: -6098*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:47 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (58\/(-4))\/((-6)\/36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*n**2 + 44*n**2 + 110*n**2 to the form s*n + o + z*n**2 and give z.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 30*o + 7 = 28*o, s - 26 = 5*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 10*j**2 - j - 2. Let z be p(-5). Let x = 355\/658 + 3\/94. Sort -0.43, z, x in decreasing order.\nAnswer: z, x, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 134*y**3 - y**2 - y + 1. Suppose 4*f + 2*l - 40 = 28, 0 = 3*f + 5*l - 51. What is the remainder when j(1) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q**2 + 641*q + 636. Determine g(50).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 3*h. What is the least common multiple of 5 and 4*(h - (-22)\/8)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227397.36 months in years?\nAnswer: 18949.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 14*o**2 - 13*o + 6. Let f = -153 + 140. What is the smallest common multiple of 80 and d(f)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 211 - 504 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109659063463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24410 and 22.\nAnswer: 268510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**4 + l**3 + 2*l**2 - l + 1. Let t(n) = 5*n**4 + 5*n**3 - 50*n**2 - 158*n - 118. Let m(j) = -t(j) + 2*w(j). Factor m(v).\nAnswer: -3*(v - 5)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c - 10*c + 15*c**3 + 8*c - 15*c**4 + 15*c**2 - 9*c**5 = 0. Calculate c.\nAnswer: -2, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6a33 (base 12) to base 3\nAnswer: 121020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*r - 7343*r**2 - 14*r + 7341*r**2 in the form n*r**2 + y + x*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 194 = 3*a, b - 485 = 6*b + 3*a. What is the tens digit of 3 + (-4 - -1 - b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540.375 microseconds in minutes?\nAnswer: 0.00005900625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*n + 23 = 0, -2*g = -4*g - 3*n + 16. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1893 + 1893. Let h be (1 + (-20)\/12)*(-6)\/2. Suppose -4*y + 4*x = 24, -4*y = x + x + 12. Sort i, y, h in ascending order.\nAnswer: y, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -24. Factor -4\/7*q**4 + 0*q**2 + 2\/7*q**3 + 0*q + 0 + 2\/7*q**s.\nAnswer: 2*q**3*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 10) + 70\/7. Let a be 66\/14 + (-6)\/(-21). Suppose -p - 1 = -3*t + 2*t, 4*p + 14 = -t. Put p, a, g in descending order.\nAnswer: a, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 30 = 6*j. Let q(w) = -w**2 + 6*w + 1. Let g be q(j). Let u(h) = -h + 1. Let b be u(-2). Sort g, -4, b in ascending order.\nAnswer: -4, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 11:52 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579*u + 5 - 46*u**2 + 89*u**2 - 5 - 45*u**2.\nAnswer: -2*u**2 - 579*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(75\/(-36)))\/((-70)\/(-175))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*f - 106, 5*f - 20 = -y + 92. Solve 0 = f*p - 11*p - 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56771396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.1 + 45. Let v(u) = -u**2 + 3*u - 3. Let p be v(2). Let t = 3 - p. Which is the smallest value? (a) 0.3 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:41 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0*o - 1\/30*o**5 - 1\/8*o**4 + 1\/120*o**6 - 1\/6*o**3 + 0 + 14*o**2. Is v(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -30, -3, 18, 2, 5 in increasing order.\nAnswer: -30, -5, -3, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one halves of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(4\/(-26) - (-133)\/273). Suppose 0 = 4*y + r + 3, x = -y + 3*r - 4. Let q be 25 - (y - (4 + -8)). What is the highest common factor of q and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 20 = -5*c, 6602937*d + 8 = 2*c + 6602933*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382265.\nAnswer: 5, 13, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ea - 2?\nAnswer: e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33263052913\/13010886 - 3\/1445654. Let b = -2552 + w. Find the common denominator of ((-6)\/35)\/((-2)\/(-90)) and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263360859 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38862 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: Calculate prob of picking 2 o when two letters picked without replacement from {c: 1, i: 1, p: 4, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1430, -3, 7.\nAnswer: -4, -3, 5, 7, 1430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 208548 - -11310?\nAnswer: 219858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8903327 millilitres?\nAnswer: 0.0008903327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*g - 1, 2*l - 29 = 5*l - g. Let j(y) be the second derivative of y**5\/20 + 2*y**4\/3 - 3*y**3\/2 + y**2\/2 - 20*y. Let f be j(l). Sort 2, 8, f.\nAnswer: f, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 8:47 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708 + 388 - 2*k**2 + 356.\nAnswer: -2*k**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*-4*(sqrt(1377) + 1) + -4))**2.\nAnswer: 9216*sqrt(17) + 353536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 67. Let s = u - 28. Let y be 4\/5*15\/6. Put y, s, 5 in decreasing order.\nAnswer: 5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0*u**2 + 0*u**3 + 1\/4*u**4 + 3*u - 1\/5*u**5 + 0. Find the third derivative of c(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.607627 nanometers?\nAnswer: 0.000009607627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v - 103. Calculate s(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -50*b**2 - 16*b - 31. Let l = -2 + 4. Let t(h) = 10*h**2 + 3*h + 6. Let v(o) = l*q(o) + 11*t(o). Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839700281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (31\/((-527)\/(-85)))\/1. Let h be 49\/28 + 2\/8. Solve h*z + k = 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1366 + 567 + 854 - 296)*(-1 + m + 1) to the form l + r*m and give r.\nAnswer: 2491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 471, 0, -1, -2, 4, -5 in increasing order.\nAnswer: -5, -2, -1, 0, 4, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 2*w**2 + 0*w**2)*(2 - w**3 - 2)*(0 + 3 - 4).\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 58. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/6)\/(8\/(-12)). Let q be ((-14)\/(-70))\/(r\/(-470)). Which is greater: q or 46?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - 7*d + 7*d + 3*d**5 - 2*d**5 + d**5 + 3*d**5 - d**5 - 3*d**5 + (-2*d**2 + 2*d - 2*d)*(2*d + d**3 - 2*d).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-300)\/530) + 11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69750 and 4090419.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + r)*(32*r**2 + 3759*r - 3759*r) + 0*r**2 - 2*r**3 + 0*r**2 + 0*r**3 + 5*r**3 - r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 2361.\nAnswer: 7083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by -2\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2055, 4101, 6141, 8175, 10203?\n\"Answer: -3*u**2 + 2055*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = b - 20, -4*y + 14*y - 14*y = -5*b + 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 24 - 3 - 10 - g**3.\nAnswer: -g**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 11:29 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) - 16\/20. Let s = v - -1. Suppose -38 = -5*k + p, k - 8*p + 4*p = s. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/8)\/((-25)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2571, -2570, -2569, -2568?\n\"Answer: r - 2572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 344 (b) -0.5 (c) 8 (d) -1\/4 (e) -2\/35 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/5))**7)**(5\/4) assuming f is positive.\nAnswer: f**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, i: 5, v: 2, r: 6}. What is prob of sequence iil?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11527 is divided by 124.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3942 - -3941. Sort 0, 1, t, 144 in descending order.\nAnswer: 144, 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 147*s**4 - 3*s**3 - 2295*s**2 + 2*s + 36179745.\nAnswer: 588*s**3 - 9*s**2 - 4590*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2257\/2 != -1129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 1 + 3*a + 4 - 4 - 3*a**2 + 0*a**3. Let o be x(2). Calculate the highest common divisor of 7 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (1 + -27 + 36 - (-1 + 9 - 0)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67192, 67045, 66900, 66757?\nAnswer: 66616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (20\/10*-6)\/(((-2)\/1)\/2980)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) + 1)*-1 - (-3 + 0 + sqrt(396) + sqrt(396))) + 1*(sqrt(396) + -1 + sqrt(396) + -3))**2.\nAnswer: 24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 45*n**2 - 8. Let r(s) = 655408*s - 11*s**2 + 2 - 655408*s. Calculate -2*c(x) - 9*r(x).\nAnswer: 9*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 5*r - 10, -27 = z + r - 29 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -661 + 956. What are the prime factors of i?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -1575 (c) 0.0651\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:47 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 9. Let f(s) = 3*s**z + 3 + 1 - 4*s - 3*s**2 + s**2. Calculate the least common multiple of 10 and f(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*d + 6, 0 = -5*m - 3*d + 19. Let r = m + -2. Let k = 87 - r. Calculate the greatest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63644028 divided by 31137.\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 + -22717\/88. What is the common denominator of j and -63\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmzm when four letters picked without replacement from {u: 1, z: 1, f: 1, h: 1, q: 2, m: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274387 = 14894*x - 1111*x + 853273 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - 5*s**2 - 2*s**2)*(3 - 3 - s + (1 + 1 + 13)*(-10*s + 27*s - 4*s)) as v*s**3 + u + o*s**2 + f*s and give v.\nAnswer: -970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7263383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 667 and 207930?\nAnswer: 4782390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/45 (b) 0.1 (c) -23 (d) 0.4 (e) -2\/15 (f) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021376623?\nAnswer: 7, 997, 289637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**2 + 38596*o - 501072 = 0.\nAnswer: 13, 9636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 20 + 230. Suppose 2*f + o - 1554 = -123, 5*o = n. What are the prime factors of f?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (191*u - 241*u - 953*u)*(-1 - u + 2 + 0*u).\nAnswer: 1003*u**2 - 1003*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1560, -6169, -13830, -24543, -38308, -55125, -74994?\nAnswer: -97915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2232.8014 * -5.\nAnswer: -11164.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -110, 1.\nAnswer: -110, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.43 + -104274?\nAnswer: -104275.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -72 (b) 1\/5 (c) 3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.3 and -1.16.\nAnswer: -4.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = f + 61, -3*f + 0*f - 3 = 0. Let g = -65 - v. Let y(j) = j**3 + 5*j**2 - j - 3. Calculate y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 882 + 186. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35487207.\nAnswer: 3, 7, 187763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 14*u**2 - 15*u. Let g be m(15). Suppose g = 3*o + 2*l - 238, -232 = o - 4*o + l. Let s be (o\/(-13))\/(0 + 2). Put s, 0, -4 in descending order.\nAnswer: 0, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:12 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 3. Let l be b(3). Suppose 3*f = -2*v + 110, 4*f + 13*v - 185 = 18*v. Suppose -f*a - 139 = -379. Calculate the highest common factor of l and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1677*t + 16*t**3 + 1677*t + 4*t**3.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-2)*(-24)\/48)\/18. Which is the third biggest value? (a) -4 (b) 2\/27 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 701078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -j - 4*i, 369*j + 2*i = 376*j + 31 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -17557 (c) 0 (d) 5\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344 a factor of 120642837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 14aec3?\nAnswer: -14aeb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-341 - 3)*(-620)\/120*21\/14. Which is smaller: y or 2664?\nAnswer: 2664","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b - 2*b)*(3 - 1 + 0)*(7 - 8 - 3*b - 4*b).\nAnswer: -14*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8*g = -1161. Is (21\/(-9) - -2)*g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660347 to the power of 1\/2, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r - 2. Let s(c) = -11*c - 4. Suppose -2*n + n = 0. Suppose 7*z = -p + 3*z + 29, 3*p + z - 43 = n. Give p*v(b) - 6*s(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -l + 47. Let f = 29 + 3. Calculate the smallest common multiple of f and l.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-8))\/(9 - 1160\/128). Sort o, 4, 5, -5.\nAnswer: -5, 4, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q\/(q\/(q*q*q**4*q)))))**(4\/17)*q**(-8)*(q\/(q*q**(-7\/3)))\/q assuming q is positive.\nAnswer: q**(-244\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(204) + sqrt(204)*-2))\/sqrt(12).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l + 3816. Let h be n(0). Let m = 45661\/12 - h. Find the common denominator of 37\/9 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1237884 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - 2*b**2)*(0*b**3 + 8*b + 16*b - 2*b**3).\nAnswer: 4*b**5 - 48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c - 3. Let w(l) be the first derivative of 35*l**2 - 20*l + 1. Let f = -252 - -255. Let z(i) = f*w(i) - 20*x(i). Let o(j) = -j. Determine z(o(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + -2. Let d be z\/(-18) - (5\/(-3) + 1). Is (((-3297)\/d)\/3)\/((-32)\/64) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 8. Suppose -12 = 3*f - k, -j = 4*f + 2*k + 5. Let z = 50 + -49.95. Which is the smallest value? (a) z (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) -4018 (c) 1\/6 (d) 1\/3 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4.64 * 3\nAnswer: -13.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 - -0.02. Let l = h - -0.3. Let a be -1 + 1 + -2 - 605\/(-363). What is the biggest value in l, a, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3))**(19\/2)*(z*z\/((z\/(z*z**3))\/z)*z)\/z*z\/(z\/(z*z*z\/z**7*z)))**(-42) assuming z is positive.\nAnswer: z**(-392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {k: 1, o: 1, b: 1, x: 1, d: 2, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 19. What is the smallest common multiple of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 658 = 46*q. Calculate the highest common factor of q and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 6*t**2 + 4*t - 7. Let z(o) = 2*o**2 - o + 2. What is 2*j(u) + 7*z(u)?\nAnswer: -2*u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -a + 2*c - 43, -2*a + 2*c = 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*f + 87 - 507, f = -5*y + 1050. What is the least common multiple of y and 504?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-120)\/3*(1 + 69\/6). Let i = u - -379. Which is bigger: i or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 3, b: 7, j: 1, r: 3, a: 3}. Give prob of sequence rj.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 1. Let t(y) = -16*y - 6. Suppose -24 = 5*b - 4*d - 26, -2*b - 4*d = -12. Determine b*t(a) - 12*z(a).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - 2*i - 3*i**4 - 3 + 2*i**3 + 1 as o*i + f*i**3 + r + p*i**2 + d*i**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -22.9. Suppose t + 4*q + 0 = -4, -4*t + 6 = 5*q. Which is the closest to y? (a) 3\/7 (b) t (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 430417.2t?\nAnswer: 430417200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 4.7\nAnswer: -22.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -18127 (b) -0.56 (c) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - (-4 + 9) - 59. Put p, 0.3, -4 in ascending order.\nAnswer: p, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -11*j**2\/2 - 39*j - 662. Let c be (6*1)\/(3\/(-2)). What are the prime factors of k(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*c - 443 = 0, 865 = 2*h - 5*c + 2*c. Suppose 2*o + h = 5*i, 0 = o - 0 + 4. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0. Which is the nearest to -8? (a) -3\/7 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -311, -365, -441, -539, -659, -801?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 12 - 9)*(-m**2 + 4 - 4) + m**2 + 0*m**2 + 3*m**2 + (m + 2 - 2)*(m - m + 2*m) - m**2 + 2*m**2 + 0*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 3*u**2 + 3*u**2 + (u + 2*u - u)*(3*u - 10 + 3 + 6)*(0*u + 5*u - 6*u) as t*u**3 + q + v*u**2 + o*u and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*y**2 + 101*y**2 + 326*y**2 + 261*y**2 - 243*y**2 to t*y**2 + d + c*y and give t.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*z + 6*b - 5, 4*b - 4 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835662956.\nAnswer: 2, 23, 29, 293, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -63, 87, 19 in ascending order.\nAnswer: -63, 5, 19, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 2 - 8 - (-39)\/((189\/(-28))\/(-9))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/19 - 2*v**2\/19 + 34*v\/19 - 30\/19.\nAnswer: -2*(v - 3)*(v - 1)*(v + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) -0.02 (c) -0.1 (d) -3\/143 (e) -0.242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 99901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 4. Let n(z) = 4*z - 1. Let w be n(1). Let q be j(w). Is q smaller than 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 13 - (-2 + -2 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3, 5\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 - t**2 + 8*t**2. Let h(f) = -43*f + 25. Let i(b) = -207*b + 120. Let n(j) = 24*h(j) - 5*i(j). What is n(k(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -871 in 1, 5.47, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**7\/630 + m**6\/180 - m**5\/15 + m**4\/4 + 11*m**2. Let z(b) be the second derivative of p(b). Suppose z(w) = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27288 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:45 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v - 2*v**3 - 3*v**4 + 94901*v**2 - v**4 - 94903*v**2 - 1 to the form u*v**2 + n*v + h*v**3 + z*v**4 + d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrzvlrgx. What is prob of sequence xz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(1*(-60)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27137053343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, -6, 3, -5 in descending order.\nAnswer: 8, 4, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 857320*j**5 + 8534*j + 8 wrt j?\nAnswer: 17146400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**10\/90720 - c**9\/22680 + c**7\/3780 + c**6\/2160 + c**4\/4 + 4*c. Let f(a) be the third derivative of n(a). Factor f(j).\nAnswer: -j*(j - 1)*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237231?\nAnswer: 3, 43, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -23, -54, -97, -152, -219, -298?\n\"Answer: -6*v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -45. Suppose i*q = 40 + 28. Let n = q - 16. Solve 4*l = -3*w + 7*w + 16, n = -3*w + 5*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 9. Suppose -29 = -2*o + 8*h - 3*h, 25 = 4*o + h. Let b(c) = -4*c**3 - 7*c**2 - c + 7. Let p(s) = s**3 + 2*s**2 - 2. Calculate o*p(w) + r*b(w).\nAnswer: -w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14239644*m*w + 2032333*m*z**3 - 3*w*z**3 wrt z?\nAnswer: 6096999*m*z**2 - 9*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r + 165 = 0. Let i = r - 16. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 - -29. Let w be (5 - 2)\/((-7)\/j). Let h = 101 + w. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 3*n + 2. Let b be r(-6). Let z = 34 + b. What are the prime factors of (z\/(-10))\/((-5)\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 + 487*k**3 - 3705 + 3706 + 140*k**3 + 387*k**3 in the form t*k**2 + p*k + a + u*k**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 2)*(-9*g - 11 + 11)*(49*g + 29*g - 29*g) to the form o + s*g**2 + x*g and give s.\nAnswer: 1323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 310.366983 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/35, -16\/3, -8, -2\/5, 1, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/590 + -17433\/16520. What is the common denominator of 29\/24 and h?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Let r be 2\/(-8 + 6) - 12\/(-3). Let s be (-6)\/2*(-12)\/9. Put s, r, p in increasing order.\nAnswer: p, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392 = -2400*p + 2516*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -19 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83679*h**2*r**2 + 1334*h**2*r - 39*h*r**2 - 660 wrt r?\nAnswer: -167358*h**2 - 78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1558 and 117\/574.\nAnswer: 10906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**3\/6 + h**2\/2 + 7*h. Let k be z(0). Let n(i) = -k - 2 - 1 + i - 1. Give n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*f + 1723 - 355 = -13*f. Put 3, f, 220, -0.5 in decreasing order.\nAnswer: 220, f, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 616.32 + 92719.68. Let r = p - 93355.0034. Let f = 19 + r. What is f rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 67, 118, 191, 292, 427, 602?\n\"Answer: j**3 + 2*j**2 + 22*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1044.3 + -1044. Sort 2, p, -27, -4 in increasing order.\nAnswer: -27, -4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**6\/105 - 2*p**5\/35 - p**4\/14 + 2*p + 2. Determine y so that u(y) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9732286 + 36*u**3 + 9732286 + 7*u**3.\nAnswer: 43*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**3\/3 - 2237198*l**2\/3 + 20134988*l\/3 + 49218752\/3 = 0.\nAnswer: -1118608, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -41. Let o = c + 43. Sort 2, o, -5 in increasing order.\nAnswer: -5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22434211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 - 4*h - 1. Let k(y) = -y**2 + y + 1. Let a(d) = 12*k(d) - 3*m(d). Calculate the remainder when a(8) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(-72)\/6. Solve -a + v = 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipepgggppbgp. What is prob of picking 1 b, 2 p, and 1 e?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -222 and -0.72.\nAnswer: 159.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/22846 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240454 and 19402?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 divided by -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2\/6 - 1955*d\/3 + 3905\/6.\nAnswer: 5*(d - 781)*(d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*l + 156 = -162*l. Solve -3*z + 4*t + 16 + 6 = 0, l*t + 16 = 2*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -609 - -727. Suppose 124*n - 2310 = u*n. Is 86 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2 - 54*c - 36 + 5 - 7. What are the prime factors of o(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12618, 50527, 113710, 202167?\n\"Answer: 12637*r**2 - 2*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 5*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/10 - -4) + -2. Which is bigger: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -x - 1, -425*x - 3 = -4*k - 422*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 7*a + 6. Let k be l(-8). Let z(s) = 5*s - 1. Let o(d) = d**2 + 4*d - 1. Let p(f) = -3*o(f) + 2*z(f). Give p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 21, -1, 2\/3, 0.4, -2\/9, 3\/808?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -189*f + 179*f - 60 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 110.99999387 - 111. What is c rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from ccoowjojwocccmocj?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -22, 6, -13, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002310034 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17848740 divided by -28020.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43239145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 49*z**6 - z**3 + 23*z**2. Let q(o) = o**6 + o**3 + o**2. Let g(l) = -b(l) - q(l). Find the third derivative of g(w) wrt w.\nAnswer: -6000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 9*l**2 - 7*l - 7. Let u be h(-5). Calculate the remainder when 59 is divided by (u + 145\/(-15))*(-6)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552428105 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 7:04 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y + 2*z + z, -4*y + 4*z - 4 = 0. Suppose 2*o + 1208 = -y*o. Let s be (-6)\/9 + o\/(-6). Round s to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*14\/(-4)*1. Let d(m) = m**2 + 3*m - 2. Let w be d(-3). Let n = w - z. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.20556 * -95\nAnswer: -19.5282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5 - 3. Let v(d) = d**3 + 6*d**2 + 5*d. Let p be v(-5). Let y = p - 4. Sort -1, q, y in descending order.\nAnswer: -1, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2 - 1) + -532 + 524 - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -2)**2 - (sqrt(19) - (-4 + sqrt(475))))*-6.\nAnswer: -9234 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 170?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41622237?\nAnswer: 3, 43, 131, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -1513*n + 1526*n. Let f(x) be the first derivative of -21\/5*x**5 + 0*x**2 + 0*x**n - 3 - 15*x + 0*x**4. What is the derivative of f(u) wrt u?\nAnswer: -84*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m - 18 = 0. Suppose -h + 2*h = 2*y - 8, -y - 2*h + m = 0. Solve 15 - 3 = -5*p + 2*q, -q - y = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 - -130. Let g = 1 + 3. Solve d = -0*p - 5*p, 4*y + g*p = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 6*f - 3*f - 117, 2*f = 4*w + 98. Suppose 3*p = f + 53. Let a = -24 + p. Calculate the remainder when 30 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((4 - 2) + -3). Let q be o*9 - (29 - 1)\/(-7). Calculate the greatest common factor of q and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5687?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 51. Let f be j(-49). Which is the nearest to 7? (a) -0.1 (b) -0.04 (c) 5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11330 (base 7) to base 10\nAnswer: -2912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -3, 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420306 is divided by 155?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.31 - 19.31. Let f = r - -19.16. Let d = f + -0.159906. What is d rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12*z**2 - 2404*z + 6485. Give p(-203).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 17384 = 46*f. Let r = f - -5662. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1570298831, 3140597661, 4710896491, 6281195321, 7851494151, 9421792981?\nAnswer: 10992091811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/44 - -271\/66. Calculate the common denominator of 37\/12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42025 - -42040. Let a(y) = y - 6. Let p be a(5). Let m be 5 - -1 - (1 - p). Solve -u = 5*j + 4*f - 0, j - 21 = m*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0*c + 0*c)*(0 + 3 - 4) + (0*c - c + 3*c)*(-10 + 10 + 2*c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let r = 41 - 39. Solve 3*m - r*n = 1, h*m - 4*m = -3*n + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.4 - 24.3. Which is the nearest to x? (a) -5 (b) 3 (c) 1\/4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17902 or 17932?\nAnswer: 17932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273890 is divided by 971.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 2. Let p be x(2). Let m be (2\/5)\/(4\/(-20)). What is the units digit of ((-1)\/m)\/(p\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*f - 8, -37*f - m = -42*f + 19. Solve 3 = -f*w, -4*w - 2 = 2*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*-0.0651911\nAnswer: -0.010430576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207339 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:53 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 10:45 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t - 15. Suppose 4*g - 22 = 2*a, -4*g + g = -a - 16. Sort 2, t, a.\nAnswer: t, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23043 + 23076. Calculate the least common multiple of 6*((-2)\/(-1) + 1) and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/377 (b) -4\/7 (c) 9.724\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17561*i*n**5 + 149*i*n**4 + i*n + 225*i + 3*n - 299 wrt n?\nAnswer: 351220*i*n**3 + 1788*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olll when four letters picked without replacement from {l: 5, d: 3, s: 6, o: 2, y: 1}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460163636 is divided by 4164?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58306 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 21. Let i be (-2)\/(-5) + (-4)\/s. Suppose -p + 0 + 9 = i. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307105 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:58 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 + 3*w**2 - 2*w**2 + (0*w - 2*w + 5*w + (-w + w - w)*(-5 + 0 + 4) + 3*w - 3*w + w)*(-135*w - 399*w + 5*w) in the form v*w + y + h*w**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2420*s**5 + 1052*s**4 + 1502*s**2 + 3*s - 188 wrt s.\nAnswer: -145200*s**2 + 25248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllaaahlqjh. What is prob of sequence laq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (35685\/4950 - 6) + (-12)\/40?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 4 + 3*c + 6*c. Suppose 5*h - 86 = -4*w - 36, -5*h - 3*w = -45. Let f(t) = 1 + 2 - h*t + 5*t - 4. What is -6*f(x) - j(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - -40. Solve -19*l + m = -47*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15959 + 15944. Put -58, d, 0, 1\/5, -0.2 in descending order.\nAnswer: 1\/5, 0, -0.2, d, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3 + 2570685*n**2 + 7712034*n + 5141352 = 0.\nAnswer: -856892, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 27. Let h be l(15). Let j be 8 + (0 - (-1 + 5)) + h. Let s(q) = 9*q**3 + q**2. Calculate s(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-57)*(-2061)\/(-396) - (-7 - 1864\/(-264))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 5. Let w be y\/(-15) - 2\/(-5). Let p = w - 1. Is -2\/9 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 87672.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50192906?\nAnswer: 2, 31, 809563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 20*z - 2. Let i(m) = -m. Let u(w) = c(w) + 12*i(w). Let l be u(2). Suppose l + 2 = 2*t. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -19 - (118 - 108).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3179290, 6358578, 9537866, 12717154, 15896442?\nAnswer: 19075730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -143660*p + 20. Let i be a(-3). Round i to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10002 (base 4) to base 10\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6648 and 252.\nAnswer: 252.6648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12346 - -62169. Suppose 35920 + z = 9*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5262)\/(-1) + (-12)\/6. Suppose 0 = -0*r + 4*r - i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254042625 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 983776.2ug?\nAnswer: 0.9837762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = -5 + 16. Sort k, 2, -2, -1 in ascending order.\nAnswer: -2, -1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Let d = 618 + -331. Let p = 289 - d. Solve -15 = -p*f + w*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*-1*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + 64 + (1 - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -34, -72, -124, -190, -270, -364?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*u - 29*u - 32*u to the form z*u + h and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 1678.1 (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {f: 4, a: 2, m: 1, q: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1449603 not equal to -1449603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - a + 16. Let w be k(3). Sort w, 1, -62 in decreasing order.\nAnswer: 1, w, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113 - -116 - (-30)\/2 - 7)\/(1\/(-4))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 6 = -16*f. Let w(s) = s + 2 - 3*s**3 + 3*s**3 + 3*s**2 - s**3. What is w(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. What is the nearest to -1 in -2\/17, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 24, 2, -1\/3295?\nAnswer: -1\/3295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8\/47 - -313\/94. Calculate the common denominator of l and 39\/15 + -3 - 373\/(-1220).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 599 - 602.07. Round a to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 9, -2, 5 in ascending order.\nAnswer: -2, 5, 9, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-1))\/((-4)\/8). Suppose -a - p*a + 15 = 0. Calculate the remainder when 7 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 68 = -5*p, -5*p + 82 = 5*m + 22. Calculate the remainder when 425 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 40*j - 29. Suppose 4*z = 5*i - 159, -3*i = 4*z - 77 - 44. What is the remainder when i is divided by h(-41)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 261 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 8*a - 6. Let b be 5 + 2 + (-4 - -6). Let g be p(b). Let i(u) = u**2 - 2*u + 1. Let l be i(g). Solve 2*y = -2*y + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20193830*o - 8443129 wrt o?\nAnswer: 20193830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 6*p**2 - 4*p + 3. Let r be f(-5). Let s = 1108 + -1077. What is the nearest to s in -3, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98685920 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/9, -22, 4, 0.9, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 22\/7 (c) 0.14 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 2319475.77.\nAnswer: 2319478.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(3400))\/sqrt(2)*5.\nAnswer: 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 e when three letters picked without replacement from fessqsfstq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45 and -48\/4999.\nAnswer: 4999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 1\/17 (b) -2\/13 (c) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 1025537?\nAnswer: -1025528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (6 - (0 + -1)). Suppose -3*i + i = -r. What are the prime factors of (45\/(-6))\/(i\/(-4))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7052851616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 14*a + 28. Let i be f(-12). Solve -i*k + 12 = -8*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or 205\/4?\nAnswer: 205\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -244609*c + 37309?\nAnswer: -244609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 25*p - 24. Let j be z(-1). Solve -n - 20 = j*b, -n - b + 2*b = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.64 * 25.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6729 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, s: 1, k: 2, p: 1}. Give prob of picking 1 p, 1 k, and 2 h.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3276 + 3294. Let b(z) = -z**2 + 20*z - 5. Calculate b(l).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750.4 - 0.2.\nAnswer: -750.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 1:31 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00819808525 to six decimal places.\nAnswer: 0.008198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 27. Let y be a(4). Suppose 66 = 4*f - 2*f. Calculate the greatest common factor of f and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -501, -3778, -12611, -29778, -58057, -100226?\n\"Answer: -463*d**3 - 36*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -606 + 1041. Calculate the greatest common factor of 87 and u.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -503, -5, 19 in ascending order.\nAnswer: -503, -5, -4, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 446845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88\/105 - 6\/35. Solve -i**2 - 1\/3*i**3 - x*i + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcgnugg. Give prob of picking 1 n and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/9 + 280702*o**2\/9 - 561410*o\/9 + 280706\/9.\nAnswer: 2*(o - 1)**2*(o + 140353)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2 - 8828748*h - 8828745 = 0.\nAnswer: -2942915, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**8\/42 + r**4\/8 + 5*r**2. What is the second derivative of h(x) wrt x?\nAnswer: -160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2886.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1231, -2452, -3679, -4912, -6151, -7396?\nAnswer: -8647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 0*g**3 + g**4 - 2*g**4 - 3*g**3 + 0*g + g to the form c*g**2 + u*g**4 + s + h*g + x*g**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/48018 and -49\/12.\nAnswer: 96036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015211995 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tve. Give prob of picking 1 t and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = -u. Let q = 5 - u. Let y be (-46)\/(-10) - 4\/(-10). Solve l + y = q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18335955839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 417 - 372. Let n = 8 - -9. Suppose n = s - 13. Calculate the lowest common multiple of s and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 100*n - 108. Give r(3).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-110 + 98)\/((-24)\/10). What is the smallest value in 20.9, -1\/2, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 - 580913?\nAnswer: -5808ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*z - 90 + 20. Let t(v) = 0 + 0 + v. Calculate t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**2 - 23\/3*v**3 + 0*v**4 + 0 + 0*v + 23\/30*v**5. Find the first derivative of d(y) wrt y.\nAnswer: 92*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*k - 165 = 134*k. What is the biggest value in 5, k, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 11*k - 4*k - 5*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -44 (c) 6 (d) -2\/13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12*l**2 + 9*l - 27. Let n(u) = -u**2 - 1. Let p(t) = k(t) - 15*n(t). Factor p(y).\nAnswer: 3*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0, 2, -218 in increasing order.\nAnswer: -218, 0, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(3\/(-2))*9\/(-18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 40915 and -0.1?\nAnswer: 40915.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11001, 11025, 11059, 11109, 11181, 11281, 11415?\nAnswer: 11589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.65*-176.\nAnswer: -11202.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 10*f + 11. Let z be g(9). Suppose x = -z*x + 9. Let q(m) = m**3 - 3*m**2 + 2*m - 4. What is q(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-472*f**3 + 33*f**3 + 39*f**3)*(-1 - 1 + 17*f + 18*f) in the form i*f**3 + r*f**2 + u*f**4 + q*f + y and give i.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1322, -2658, -4020, -5420, -6870?\n\"Answer: -2*a**3 - a**2 - 1319*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 11 = -3*c + 1, -2*h = 5*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432)*2 + -2*sqrt(108))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440193339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88403 and 1824781?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 208*r*t**2*w**3 - 262*r*t**2*w - 3*t**2*w**2 - 2*t**2*w + 22*w**3 - 2*w - 253 with respect to r.\nAnswer: 208*t**2*w**3 - 262*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.8733738 to 3 decimal places.\nAnswer: 7.873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18 + 73 = -5*x, -4*m + x = -83. Suppose 6*k - m = k. Let t(w) = -w**3 - w**2 + w. Let u be t(-2). Put 1, u, k in descending order.\nAnswer: k, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349 - -384. Let c be (25 - n)*(-16)\/70. Solve -4\/7*p**2 - c*p + 0 = 0 for p.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2294 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + 8.97. Let j = -1.5 - -1. Let u = 390.42 - 391.42. Which is the second smallest value? (a) z (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 1640*s**2 - 9668*s + 11312.\nAnswer: -4*(s - 1)*(s + 7)*(s + 404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1062 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x + 7. Let g(w) be the third derivative of w**5\/60 + 5*w**4\/24 - 4*w**3\/3 + 345*w**2. Let a be g(-6). Sort 5, x, 4, a in descending order.\nAnswer: 5, 4, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 26*s**2 - 21*s + 93. Calculate l(-25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -69, -97, -135?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -56. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-76 - 4 - -94)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -14*s - 128. Let v(p) = 44*p + 418. Let b(h) = 4*v(h) + 14*x(h). Determine b(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15546 + -2?\nAnswer: -15548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49601 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -15*g**4 - 196911*g**3 - 13416282*g**2 - 231778068*g - 90577224 = 0.\nAnswer: -13059, -34, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317509 is divided by 76?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -89, -100, -117, -140?\n\"Answer: -3*i**2 - 2*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 96*h - 100*h. Let o = -4.48 + 3.98. What is the nearest to -0.3 in -0.2, h, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 - 2166*v + 2166*v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 + 1386*z - 3. Let p(a) = -2*a + 113. Determine p(n(g)).\nAnswer: -12*g**2 - 2772*g + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010122 (base 3) in base 8?\nAnswer: -7237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 5:24 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s**2 + 0*s**2 - 3*s**2)*(s - 3 + 3) - s**3 + 2*s**3 + s**3 - 1 - 6*s**3 + 3 + 0 in the form n*s**3 + q*s**2 + x + j*s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11442122 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -2*s, -14*o + 13*o + 4 = -2*s. Let q(p) = -p**3 + p + 691. List the prime factors of q(o).\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 60 = 3*i. Suppose 3*u = -u + i. Suppose z = -2*z + u. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 2*p + 5*b - 75, p = 4*b + 20. Suppose 2*u - p - 34 = 0. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59086 divided by 29543?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 22 = b, 5*c + 2*b = 15 + 22. Let v = 9 - c. Let d be v + 3\/9*3. Solve -1 = -3*q + 5*i + 4, 0 = 2*q + d*i - 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 8\/43 (c) -5 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2)\/sqrt(6) + 5)**2 + -2 + sqrt(17) + 1 + 2.\nAnswer: -19*sqrt(17) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001782 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 5*h + 73, 3*z - 5*h = 239. What is the remainder when (0 - 0) + 0 + z is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6848 and -133\/213144.\nAnswer: 1705152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 3454962 and 3454969 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66725739 - 66725666.999751. Let c = 72 - j. What is c rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53380 - -53379.99956033. Round s to six dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 516*r**4 + 6*r**3 - r + 130 wrt r?\nAnswer: 20*r**3 - 6192*r**2 + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -17?\nAnswer: -45\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 12879084.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1955160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 15) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 - -138. Suppose 4*g - 8*q = -4*q + 352, -k*q = 4*g - 352. What is the remainder when g is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klgj when four letters picked without replacement from jkjkjkgjkjjjl.\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36623178 is divided by 2034620?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-84)\/8 - 9\/(-6). Let z = -8 - l. Solve -2*j + z = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98294094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3657288 or 3657374?\nAnswer: 3657288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17175 or -17174?\nAnswer: -17174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + ((2*(sqrt(108) + 5*-2*sqrt(108) + sqrt(108)))\/(sqrt(112)\/sqrt(7) + 6*1*sqrt(4)))**2).\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*t - 5 + 21, u + 3*t = -8. Suppose 0*z - u*z - 2 = 3*c, c - 4*z = 10. Solve 3 = d - j, -c*j = 3*d + 2*j + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + 2*m**2 + 10*m + 7*m**3 - 2 + 7*m**3 - 14*m to the form w*m**3 + h*m + o + u*m**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/11 (c) -227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -3 (c) 4 (d) 3 (e) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41038727 to two dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 7*b - 24. Let p be j(-2). Solve -3*k - 3*h - p = -0, -3*k + 24 = -3*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = d. Let g(n) = -2*n**2 - 8*n - 2. Let m be g(d). Solve -20 = -4*x, 4*b + m*x - 1 = 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/((-48)\/(-6)))\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -65. Let c(r) = r + 12. Let w be c(-5). Suppose 0*f + 4*f = 0. Solve y - 2*k - 3 = 0, f = -d*y - 2*y + 3*k + w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 76153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:02 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -21*l - 6 + 14 + 10*l - 8. Let j(x) = 21*x**2. Determine j(f(a)).\nAnswer: 2541*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 - 17039*f + f**2 + 17039*f to the form a*f**3 + o*f + s + h*f**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849 is divided by 358?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 + -116. Which is greater: k or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -11\/60*n**5 + 0*n + 120*n**2 + 0 + 1\/6*n**4 + 11\/30*n**6 + 0*n**3. Find the third derivative of o(r) wrt r.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 975, 3874, 8629, 15240, 23707, 34030, 46209?\n\"Answer: 928*s**2 + 115*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 981\/(-436) - (3 + 931\/(-28))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 32*v**2 + 1. Let d(o) = -o**2. Give d(t(p)).\nAnswer: -1024*p**4 - 64*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 2*h + 2 = 0, 2*w - 3*h + 3 = 0. Let k be (w + 20)*(-2)\/(-5). Let n = k - 2. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -98, -145, -190, -233?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18095023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - u - 46 - 4, -2*u - 154 = -3*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-2\/5)*a)**(-18)\/(a**(-1))**48 assuming a is positive.\nAnswer: a**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -917\/2256391 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f + 366. Let a be x(33). Solve 21 = a*d + 18*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k*k**(-2\/5))**(3\/17) assuming k is positive.\nAnswer: k**(-6\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 12?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - 3\/(-2). Let v(l) = l**3 + 2*l**2 - l - 1. Let g be v(-1). Let q(n) = 0 + g - 3 + n**3 - 6*n**j. Give q(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-1)\/2)*-8. Suppose 4*q = 4*d + q + m, -3*d - 4*q = -16. Let r be 4*((-2)\/4 - d). Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c782 + -56?\nAnswer: c729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d. Suppose 5*v = 3*u + 6, 5*v + u = -3*u - 8. Let r be 1 + v + (-2)\/2. Let j(t) = -4*t + 3*t + r*t. What is j(y(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgzzzbzz. Give prob of picking 1 z and 1 b.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -5*y - 25. Suppose 0*k - 2*r = 2*k + 36, -5*r = -2*k - y. Let j = -14 - k. Solve -3*a + 27 = -4*u, 2*a + 3*u + 3 - j = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = -28. Let z = r - -18. What is the highest common factor of z and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and (-2)\/7 + -8 + 62514\/63?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -16*a**2 - 4*a + 9. Let k(p) = 53*p**2 + 13*p - 30. Let m(f) = 10*d(f) + 3*k(f). Let u(w) = -11*w**2 - 2*w + 2. Determine 2*m(y) - u(y).\nAnswer: 9*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) - -1*sqrt(240)*3)\/sqrt(8))\/((-4*sqrt(96) + sqrt(96))*2))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620528455 to the power of 1\/2, to the nearest integer?\nAnswer: 40256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322 and 505057?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11854 + 308099\/26. Find the common denominator of -37\/16 and d.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125413162?\nAnswer: 2, 7, 8958083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-16761)\/(-1963) - 36\/(-78)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 842 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 141409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2871 is divided by 217.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, -151, -499, -1015, -1717, -2623?\nAnswer: -3751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057516*i**3 + 2 + 1057608*i**3 - 2.\nAnswer: 92*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 204 - 209, x - 4*b = -4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793*m + 779*m + 42 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 11*y**2 - 22*y - 29. What is l(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16204979*-4.\nAnswer: 0.64819916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**2 + 910239*k - 30041154 = 0?\nAnswer: -303446, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 23680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 + g + 8. Let o be d(-6). Let a be 47\/(-3*3\/(-18)). Suppose -6*z + a = -56. Solve -o*r - 3*r + z = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3733 + 0.0954?\nAnswer: 3733.0954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -617 * 229.9\nAnswer: -141848.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(sqrt(672)\/(sqrt(24)\/sqrt(2)))\/((sqrt(70)*-2)\/sqrt(10))*-4)**2 + 0.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807, -3328, -7537, -13440, -21043, -30352, -41373, -54112?\nAnswer: -68575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630, 625, 612, 585, 538?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 0 + 4 + -5)**2 + ((sqrt(605) + 2*(-2*sqrt(605) + sqrt(605) + sqrt(605)) + sqrt(605))**2 - sqrt(605))*2.\nAnswer: -44*sqrt(5) + 5446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**4\/4 - 7*n**3\/3 - 7*n**2\/2 + 11*n - 2796. Determine q(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 25*h = -3*c - 67075, -2*c = -3*h + 40245. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*h = 9, 5*i - 14609*h = -14611*h + 37 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 943741 to the power of 1\/2, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3406 + 4205 - 6451)*(-2*h**2 + 2*h**2 + 6*h**2).\nAnswer: 6960*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8321012?\nAnswer: 2, 7, 19, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + 92317?\nAnswer: 92309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-4*(-3 - -1)). Let y(i) be the first derivative of -i**3\/3 + 21*i**2 + 87*i + 71. Let v be y(44). Is m > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519736 divided by 4701?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(105)\/sqrt(3))\/sqrt(5) + (sqrt(7) - sqrt(35)\/sqrt(5)) + -5)**2 - (0 + 5 + (sqrt(343))**2)).\nAnswer: -312 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98\/17 or 7?\nAnswer: 98\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 3358622?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 0, 2737, 17, -1 in ascending order.\nAnswer: -3, -1, 0, 2, 17, 2737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 311 = 5*g, 2*b + b = g - 51. Suppose g = 2*v - 127. Suppose -2*s + v = 3*a - 55, -a + 50 = s. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 313*h**3 - 4*h**2 + 4*h**2 - 77*h + 309*h**3 + 2 - 623*h**3 in the form l*h + y*h**3 + m*h**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10)\/(10\/75*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4874 + 73111\/15. Let d(q) = q**3 - 3*q**2 + 2*q. Let u be d(2). Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i**(-2\/3)*i*(i*i**6)\/i**5)**33 assuming i is positive.\nAnswer: i**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 483976.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(34)\/(sqrt(10)\/sqrt(5)))**2*-6 + (sqrt(51)\/sqrt(3) + sqrt(17) + 1)**2*5.\nAnswer: 20*sqrt(17) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3380675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1161 + -2.2276. Let g = -0.37 - 1.73. Let h = g - n. Round h to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700 divided by -100.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 69. Sort 1, -4, i, 4 in decreasing order.\nAnswer: 4, 1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1405*f**3 + 3*f**2 + 3*f - 280. Let d(r) = -1404*r**3 + 2*r**2 + 2*r - 279. Let c(z) = 3*d(z) - 2*g(z). Differentiate c(b) wrt b.\nAnswer: -4206*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 50*a**3 + 14*a**2 + 10*a - 2. Let u(t) = -25*t**3 - 8*t**2 - 6*t + 1. Give 3*g(d) + 5*u(d).\nAnswer: 25*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -18, 0.1 in increasing order.\nAnswer: -18, -1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l - 2. Calculate the lowest common multiple of g(3) and 4\/10 - 78\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (11 - (-5 + 9)) - 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 7. Suppose -m - 26 = -4*m + 4*x, 0 = m - t*x - 16. Solve 2*l - 5*g - 25 = -3*l, m = 4*l + 3*g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/32*16*4\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -618.578143 to the nearest integer.\nAnswer: -619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -10. Let d = -0.26 - b. What is d rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 31*f**2 - 7*f - 5. Let h(w) = -15*w**2 + 3*w + 2. Determine 4*d(j) + 9*h(j).\nAnswer: -11*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 12. Let p(q) = q**2 + 14*q - 3. Let j be p(k). Is j at least as big as -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 127, 252, 377, 502, 627, 752?\n\"Answer: 125*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/3))**(-1\/62)*n**(-2\/5)*n\/n**(1\/6) assuming n is positive.\nAnswer: n**(383\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 7878 = -5636. Let d = 185 + 70. Let n = o - d. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*f + 68*f - 225*f - 115*f to u*f + y and give u.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 623964 - 6133964. Round y to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 516000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 350 = -2*a, -t - 3*a + 105 = -0*a. Suppose -3*d = 2*h - 0*h - t, d - 41 = -h. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30776*w + 61525*w - 30754*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/809716 and 21\/53036398.\nAnswer: 106072796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.303 - -0.303. Let a = -29 - d. What is the closest to a in -3, -4, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/((-18)\/189)*-4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.25, -4, 0.368?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 2. Let w be (17\/(-34))\/((-2)\/(-4)*1). Let r be c(w). Calculate the common denominator of r*1\/1 + (-125)\/165 and 41\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2420 - 532?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = -234. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -178b68?\nAnswer: 178b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15067 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4 - 519*b**3 - 1035*b**2 - 517*b = 0 for b.\nAnswer: -517, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1000 and 3530.\nAnswer: 353000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 1993*i + 11922.\nAnswer: (i + 6)*(i + 1987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 284. Suppose 6*g + r = 568. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 17*f + 7. What is z(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*s + 5*s + 12, 0 = 5*s. Suppose h*i + 6 = 2*d, d = -4*i - d + 6. Suppose i*a - 4*a + 1052 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 13*z - 20. Let u be w(-11). Suppose b + i - 4*i = -50, -2*b - 76 = u*i. Let q = 42 + b. Solve 4*p - k = q, -4*p + 3*k + 4 = -7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - n)*(-40 - 62 + 30).\nAnswer: 72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 255?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 4*y + 2. Let t be o(-4). Let p be (-7 + -1)*t\/(-4). Let k(h) be the first derivative of -h**4\/4 + h**3 + 3*h**2\/2 + 5*h + 1. Calculate k(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2. Let o(c) = -8*c**2 + c + 1. What is -6*h(q) + o(q)?\nAnswer: -2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 1732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2 + 9*z + 15*z**2 - 2 - 2 = 0. Calculate z.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81892 and 298420.\nAnswer: 17606780","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1621 - 5?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21924655.\nAnswer: 5, 4384931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16284, 32604, 48934, 65274, 81624, 97984?\nAnswer: 114354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1024 - 491. List the prime factors of m.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**5\/20 + l**4\/3 + 5*l**2\/2 - 41*l. Let b(r) = r**2 - 1 + 0*r**2 + 2. Calculate 3*b(j) - i(j).\nAnswer: -j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18192593.828 + 0.2?\nAnswer: -18192593.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*sqrt(320) - (((sqrt(165) - -4*sqrt(165) - sqrt(165)) + sqrt(165))\/sqrt(11))\/sqrt(3).\nAnswer: 235*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 2*q + 5010 - 4999, 16 = -7*d - 5*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199\/11152 + 501926627\/11152. Let y = z - 44767. Let o = 242 - y. Which is the third smallest value? (a) 1\/2 (b) 6\/11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/3 (b) 2\/3 (c) -9 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) - 160\/(-72). Suppose 4*r - 12 = b*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + c + 7*c - 8*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k = -51*m - 139 + 510, 0 = 3*m + 4*k + 36 - 119 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 22.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 998941 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*t + 2*o, -5*t - 4 - 8 = 4*o. Suppose -n = 2*i + 4, 5*n + 2*i + t*i - 12 = 0. Suppose -7*w + 573 = -n*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjttqkqqoootjo. Give prob of picking 1 t, 2 o, and 1 k.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 10*t + 22. Let p be k(-7). Let a be 18\/63 - (-2)\/(-7). Solve 3*s + 1 + p = 5*r, a = -5*r + s + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*y - 18365, p + 7353 = 4*y - 11022. Let o = 32416 + -6361. Let k = p + o. What is k rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 2*p + 13, 9*c - 5*p + 155 - 60 = 3*p for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 1.21781?\nAnswer: -0.1096029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2. Let h(z) = 5*z**2. Let y(w) = h(w) - 6*x(w). Let g(f) = -79*f. Give y(g(u)).\nAnswer: -6241*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 7*z = -81915 - 253468, 0 = -4*c + 2*z + 447200. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15427.\nAnswer: 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/225)\/14*(-10)\/(-3)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + 2*sqrt(1584) - (sqrt(1584)*3*-6)**2*1)*2.\nAnswer: -1026442 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 5)*(10 + 8 - 27 + 2*r)*(0 + 3 - 4).\nAnswer: 4*r - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*s - 20, 0*w + s + 1 = 2*w. Suppose -c + w*c - 5 = 0. Let q(y) = 19*y - 6. Is q(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4272 = -22*p - 4140 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 892 = 12*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 5:44 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83985133?\nAnswer: 739, 113647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c + 9. What is z(-3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12)*-2*0. Suppose 3*u = r, -4*u + 5 = -5*t + u. Suppose -4*w + 2 = -2. Sort t, -6, 5, w.\nAnswer: -6, t, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4 - 10. Let z(q) = 2*q**2 + 3*q + 3. Let w be z(-4). Suppose -5*v = -w + 3. Which is the nearest to s? (a) -4 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {a: 1, f: 6, q: 7, t: 2, k: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 4*t**2 + 2*t. What is the units digit of c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (132\/40 + -3)*10 - 0. Let m(q) = 1249*q + 44. Is m(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121927676?\nAnswer: 2, 13, 367, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15660 (base 7) in base 12?\nAnswer: 26b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from lkplbkpllp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-6)**2 - (1*sqrt(847) + sqrt(7) + sqrt(7))**2.\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 2*f - f. Let r = 2 + -5. Let g(o) be the third derivative of o**4\/12 - o**2. What is r*c(l) + 2*g(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-4))\/(1030\/(-824))*13\/(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2483203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mghghhwwahmwwwwghgg. Give prob of sequence ga.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660554 is divided by 4857.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4 + 274*l**3 - 9802*l**2 + 43934*l - 50820 = 0.\nAnswer: 2, 3, 55, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 3:25 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (98 + 3 - -4). Let h = r + -13. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 m when four letters picked without replacement from kkgmgmmgmmgkkugm?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1201.3 - 1128. Let g = -73 + k. Put g, 0, 4 in descending order.\nAnswer: 4, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, u: 2, i: 10, z: 1, b: 2, w: 1}. What is prob of picking 1 i, 1 w, 1 c, and 1 z?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:47 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 1. Suppose j*y - 244 = 17*y. Let v = -36 - y. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312 a factor of 403510598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1573 - 1576. Let t = -6 + 10. Suppose -s = -3*c - 26, -s - s = -t. Put c, -2, j in increasing order.\nAnswer: c, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15213666 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: Calculate the common denominator of -101\/214935 and 181\/11730.\nAnswer: 7307790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*j**2 - 209*j**2 - 199*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t + 9. Let a(c) = -8*c + 5. Suppose -5*l - 11 = -6*l. Give l*a(v) - 6*k(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b8 (base 14) in base 9?\nAnswer: -675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*30\/135*(-12)\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*x + 502*x = 55 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/7))**(-47) assuming x is positive.\nAnswer: x**(-188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 11:18 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (86 - 81 - (-1 + 3 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 2*x - 3. Suppose 5*c - 5 = -15. Let k be t(c). Let r(u) = -2*u**3 + 2*u. What is the units digit of r(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1526 by 763.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m**2 + m**3 + 126516 - 126516)*(m + 4*m - 6*m).\nAnswer: -m**4 + 11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c2cb (base 14) in base 6?\nAnswer: 415031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 519652.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n - 31 = -3*m, -2*m - 6 = -2*n. Calculate the least common multiple of 132 and n.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -3*n + 6 + 27. Solve -4*i - b + 17 = 0, n*b + 21 = 3*i + b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 + 1956*i - 15432. Give b(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 3 - (-1 - -2). Solve q - n = -0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 9. Let i be f(-7). Suppose 3*j = i*x + 14, j = 4*x - 2 + 16. Let h(z) = 2*z**2 - 2*z - 1. List the prime factors of h(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -159, -156, -153, -150, -147?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10 = 4*k + 2*x, k + 5*x = 5. Let t be ((-4)\/k)\/((-2)\/(-50)). Suppose l = -3*m + 14, -5*m - t = -l + 2. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (2 - (-1 + -1 + 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6156)\/(-2394))\/(6\/(-14))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 332 + -332.756. Let u = -33.856 - i. Let v = u - -48. Round v to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 259*p**4 - 604*p**3 + 7071*p + 6 wrt p?\nAnswer: 3108*p**2 - 3624*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, t: 2}. What is prob of picking 3 x?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 181 (base 12) to base 8\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + 12*n - 91. Determine c(0).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:19 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 14*d**3 + 1\/5*d**5 + 0*d + 0*d**2 + 1\/120*d**6 - 25 + 3\/2*d**4. Let x(m) be the third derivative of y(m). Factor x(b).\nAnswer: 3*(b + 2)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 0. Suppose x = -r*x + 5. Let u(y) = 0*y - 3 + x*y**2 - y**3 + 5*y + 8. Determine u(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 q when four letters picked without replacement from {g: 1, q: 4, w: 3, f: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3476118 and 6372883?\nAnswer: 38237298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 151, 597, 1341, 2383, 3723, 5361?\n\"Answer: 149*p**2 - p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 3*f - 6*f - 31. Suppose 919*x = 935*x + 336. Is 7 a factor of p(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0 - 13\/6*i**3 - i + 0*i**5 + 0*i**2 + 0*i**4 - 1\/2*i**6. Find the second derivative of y(z) wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(425))*-2 - (1*(sqrt(425) + sqrt(425) + 0) + -5))**2.\nAnswer: -200*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307*w*y**2 - w*y - 37*w - y**2 wrt y.\nAnswer: 614*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**4 - 16340*h**3 - 9317444*h**2 - 1444033516*h - 1434732408 = 0. Calculate h.\nAnswer: -3438, -323, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from mmer.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + (sqrt(242) - (sqrt(242) + 0))*6 + sqrt(242) + 1 + -2 + sqrt(242))**2 + 1.\nAnswer: -66*sqrt(2) + 2180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 3*b)*(b**2 + 0*b**2 - 3*b**2) + b**3 + 2*b**3 - b**3)*(-561*b + 271*b - 554*b).\nAnswer: -6752*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.068840354.\nAnswer: 0.0275361416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 7*k - 9 + (2*k + 4*k - 5*k)*(10 + 7 - 8))*(2*k**2 + 3*k**2 - 3*k**2).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/3 - 964*p**3\/3 + 103040*p**2 - 32764144*p\/3 - 66772496\/3 = 0 for p.\nAnswer: -2, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*g + 32, -153*g = -157*g + 3*r - 22. Put 2\/5, -2\/9, -5, 439, g in decreasing order.\nAnswer: 439, 2\/5, -2\/9, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = j + 6*z, -3*j - 5*z + 23 = 0. Let n be 3\/(-6) + 28\/8. Suppose -5*i = 3*h - n - 34, 5*h + 2*i = 30. What is the highest common factor of j and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c28 (base 14) to base 16.\nAnswer: 3eec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/60 - 13*g**4\/24 - 2*g**3\/3 + 3*g**2. Let c be j(14). Solve -2*w = 3*z + z - c, -18 = 2*w - 3*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.25384 years to decades.\nAnswer: 0.425384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 0, 2\/885?\nAnswer: 2\/885","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11170, -11223, -11276, -11329, -11382?\n\"Answer: -53*t - 11117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v - u = -42*v + 128, 5*u = 10. Calculate the greatest common divisor of 325 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -4, -459?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/5*245\/14. Suppose -18 = -j - k. Calculate the common denominator of (4\/j)\/(26\/(-299)) and -9\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86459 (base 12) in base 8?\nAnswer: -531405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*g - 445*g + 17*g - 11842 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*a + 8, -4*a + 8 = 3*r - 17. Determine l, given that 0 - 3\/2*l - l**2 + 1\/2*l**r = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 801634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 6 - 26*l + 4 - 3)*(21*l**2 - 44*l + 44*l) in the form k*l**3 + o + u*l + m*l**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -992772, -1985547, -2978320, -3971091, -4963860?\nAnswer: -5956627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lbababnnlabb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) 3 (b) -1\/7 (c) 1.4 (d) 0.08 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 0 + 0)*(-4*p**4 + 2*p**4 - 20*p**4).\nAnswer: 154*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180) + 2)**2 + -2 + (sqrt(180) - 2*sqrt(180))**2.\nAnswer: -48*sqrt(5) + 902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 3}. What is prob of picking 1 t and 2 o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -37 + (581 - 562)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1357 - 0?\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -634*n**7\/21 - n**3\/3 - 609*n**2\/2 - 1800*n. Find the second derivative of t(d) wrt d.\nAnswer: -25360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1306 is divided by 846?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1817237, -1817229, -1817207, -1817165, -1817097, -1816997, -1816859, -1816677?\nAnswer: -1816445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9 = 37. Which is bigger: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**3\/3 - 9*c**2\/2 - 21. Let a(f) = 2*f**2 - 10*f. Let j(k) = -2*a(k) + 3*p(k). What is j(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1223*o. Let s(w) = -250008*w**2. Calculate l(s(d)).\nAnswer: 305759784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 5*m - 3. Let v(t) = -t**2 - 6*t - 3. Let k(g) = 5*v(g) - 6*x(g). Is 2 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -4\/3, -2\/151, 0.1, 0.04?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94949107 is divided by 1034.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193*k**3 + 771*k**2 - 973*k**3 - 254*k**2 - 921*k**3 + 277*k**3 wrt k.\nAnswer: -8544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/6)\/a)\/a)**(-18\/5) assuming a is positive.\nAnswer: a**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 8:57 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.630319 hours to milliseconds.\nAnswer: 20269148.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 592 = -45*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 2\/19 (b) 22 (c) 7 (d) -71\/15 (e) -3\/2 (f) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 521, 530, 543?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4157, 4210, 4263, 4316?\n\"Answer: 53*k + 4104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505567?\nAnswer: 53, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 611*v - 379*v + 458*v.\nAnswer: 690*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 757 - 2*g - 6*g**3 + 2*g**4 - 361 - 394 as s*g + m*g**3 + d + w*g**4 + u*g**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1872) + -2 + -3 - (sqrt(1872) + 0 + -2*sqrt(1872))*-1.\nAnswer: -5 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 4*g**2 - 12*g + 13. Let l be z(7). Let b = l - 51. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 45*c**3 + 2971*c**2 + 76*c + 693. Give z(-66).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 883*p - 7953. Determine d(9).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 948\/(-16)*4*(-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291931 and 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*q + 13. Let i = 1 - -1. Sort i, -2, q in increasing order.\nAnswer: q, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46279.63 * 3\nAnswer: 138838.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1444439?\nAnswer: 1444438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 0.4, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47908020.\nAnswer: 2, 3, 5, 31, 43, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 800*i**2 + 521*i + 1926. Find the first derivative of b(m) wrt m.\nAnswer: 1600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114494123 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-37\/4)\/((w\/(w*w\/w**(-1\/4)))\/(w*w**(-5)))*((w*w*w**(-1\/3))\/w)**47*w*w**(-2\/9)*w*w*w**(-6) assuming w is positive.\nAnswer: w**(623\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(294) - sqrt(294))\/(sqrt(3) + sqrt(6)\/sqrt(2)*-4).\nAnswer: -7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -42. Let j = l + -38.9999979. What is j rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 - -64) + 8 - (40 - (0 - -2))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 at most as big as -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -28*l**2 + 23*l + 113. Let u(n) = -13*n**2 + 12*n + 57. Let d(p) = 6*j(p) - 13*u(p). List the prime factors of d(28).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**3 - 62*s**2 + 23*s - 49. Determine i(-16).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 339023 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/6 - -3) + (-321)\/(-6). Suppose 0 = 5*d - 5, 0 = -x + 4*d - b + 210. Round x to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 496 = -54. Let b = n - 105. Solve -4*q + w = b, 4*w = 2*q - 0*w - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -3, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1086 and 13824066.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25 = -0*a + 5*r, 3*a - r = 33. Let l(f) = f**2 - 11*f + 15. Let q be l(a). Suppose 9*d + q*d = -6300000. Round d to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -106, -6456, 32 in descending order.\nAnswer: 32, -3\/4, -106, -6456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -515.20869 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5*m + 14 = -4*p, 0 = -4*p - 2*m - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5\/((-165)\/(-1116)) - (-6)\/33 and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471511*g**2 - 1612378*g**2 + 1140866*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 582?\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 0, 16, 17.\nAnswer: -54, 0, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 3413412?\nAnswer: 3413412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 118658202 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6102 by -3051.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9252013, -18504027, -27756041, -37008055, -46260069, -55512083?\nAnswer: -64764097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*n + 438*n + 994*n + 422*n - 6459 = 0. Suppose -3*q = 15 - 0. Calculate the remainder when q\/(2 + 11\/(-5)) is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021022737 to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -14 - (0 - (-3 + 1))) + 8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 308, 5, 1, 147, -5, 0 in decreasing order.\nAnswer: 308, 147, 5, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**2)**(-18\/11)\/((m**(2\/5)*m)\/m)**(-44)*(m\/(m**(-2\/11)*m)*m**(-2\/27))**(-41) assuming m is positive.\nAnswer: m**(12286\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, 1137, 1698, 2257, 2814?\nAnswer: 3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 342751*l**4 - 644*l**2 - 57 wrt l?\nAnswer: 8226024*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 2, f: 1}. Give prob of sequence zf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**4 - 7 + 5078876*n**2 - 5078874*n**2 - 6 to the form p*n**2 + k*n**4 + a*n + t + m*n**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38702, 77406, 116110, 154814, 193518?\nAnswer: 232222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/12 - c**3\/2 + 2*c**2 - 2. Let j(m) be the second derivative of a(m). What is j(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5459374577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 2:05 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 - 4*d**3\/3 + 2*d**2\/3 + 4*d\/3 - 1.\nAnswer: (d - 3)*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11412996*o**3 - o**2 + 12*o - 204759.\nAnswer: 68477976*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 8:46 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100001 (base 2) to base 11.\nAnswer: 2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 3.59176?\nAnswer: 7.59176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200855\/16 - 12549. Find the common denominator of f and 139\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*i - 180*i + 812 = 0. What are the prime factors of i?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915080423 to the power of 1\/3, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from uhhxuxuuvvqauuvuv?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3) - (-17555398)\/(-6))*(-819 - -809). What is j rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/3)\/(2\/61) and 47\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-5)\/10*(168\/1)\/(-14))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + d4?\nAnswer: da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/28, -5, -3, 572, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 798 and 70623?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 5*y + 6. Let g be s(-4). Suppose 0 = -g*i - 8 + 80. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**14\/x*x**(1\/13)*x**17\/x**(-8\/3) assuming x is positive.\nAnswer: x**(1316\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*i - 3212*i**2 + 3214*i**2 - 751 + 94*i to k*i + v*i**2 + j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 13*f - u = -515, 8 = 4*u. What is the greatest common factor of f and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7539702, -15079407, -22619112, -30158817, -37698522?\nAnswer: -45238227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24)\/16 + (-29)\/(-2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 1. Let v(w) = 3*w**3 + 3*w**2 + 13*w - 7. Let y(l) = 2*l**3 + 2*l**2 + 9*l - 5. Let x(a) = -5*v(a) + 7*y(a). What is the units digit of x(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from fjyejyeyjy?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -279 (base 13) to base 6\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56073 - 63297 = 23*w. What is w rounded to the nearest one hundred?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*k - 26 = -48, -11 = -2*w + 3*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 29 + 15 = -4*i, -2*j + 3*i = -27. Suppose -3*p + 39 = 3*g, -2*p - j + 28 = -2*g. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 15. Suppose 0 = 5*t + h - 170, 3*t = -n*h + 92 + 32. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14948 divided by -74\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 1\/(-3)*-3. Let x(h) = h**3 - 5*h**2 + 2*h - 5. What is the remainder when x(z) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140868 divided by -156.\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -20*g + 5. Let v(o) = -41*o + 9. Determine -7*i(j) + 4*v(j).\nAnswer: -24*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u**2 - 159*u**2 + 43*u**2 + 39*u**2 + 38*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 42. Let s be b(-35). Let c(d) = -d**3 + 7*d**2 + 7. Determine c(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 smaller than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + y**2 - y + 1. Let u(w) = -77*w**3 - 6*w**2 - 10*w - 10. Let o(p) = -6*b(p) - u(p). Find the second derivative of o(x) wrt x.\nAnswer: 570*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8583 = -4*r, -4*k + 5*r = -k - 5142. Suppose -5*u - k = 2281. Round u to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, -4\/93.\nAnswer: -5, -4\/93, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ejjesjqsjjje.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011214647 to five dps.\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 14*u + 12. What is the smallest common multiple of u and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 54578.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yziz when four letters picked without replacement from {y: 2, z: 8, i: 4}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 68045 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 920849*k - 7366856.\nAnswer: (k - 8)*(k + 920857)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 20*m - 15. Determine n(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -70*r + 32*r + 236. Let x(s) = s**3 + 4*s**2 + 2*s + 3. Calculate the least common multiple of x(-3) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 10. Let b(f) = -5*f**2 - 9*f - 4. Let x(y) = -4*y**2 - 8*y - 3. Let v(u) = -5*b(u) + 6*x(u). Is 6 a factor of v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29 + 17)*1\/(-3). Suppose a = w + 4*a - 8, -v*a = 12. Solve -2 = -3*j - w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 19*z = 233 + 67. Let p = 4 + -4. Suppose -s + 24 = -p*s. Calculate the greatest common divisor of s and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.2 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, 4, 67, 148, 253, 388, 559?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 7*v + 6. Let u be t(-4). Suppose 3*s = 3 + 3. Let p be (-273)\/52 - 1\/4*s. Is u != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3062\/17 + -180. What is the third smallest value in v, 0.035, 1\/4, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4230 + -4229.999993366. What is k rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*h = 17, -3*c + 4*h = -41119 + 41090 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44961043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2970?\nAnswer: -2975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12179 - 2230418.\nAnswer: -2218239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9671\/57 + -18 - 20\/4. Factor -94*m**2 - g*m - 2\/3*m**4 - 200\/3 - 44\/3*m**3.\nAnswer: -2*(m + 1)**2*(m + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1212 divide 1631392861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 35. Let h = -7 - 8. Let t be n(h). Solve t + 10 = -3*m + 5*z, 3*m = 2*z - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, -1\/4, -41.61 in ascending order.\nAnswer: -41.61, -4\/15, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/5 - 9*c + 46\/5 = 0. Calculate c.\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26549 and 1112.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27439 (base 10) to base 15.\nAnswer: -81e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 50 - 5 = 3*p, -4*p - 2*s + 62 = 0. Find the second derivative of 194*i**4 + 0*i - i - 201*i**4 - p*i wrt i.\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.59807269 rounded to four decimal places?\nAnswer: -3.5981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/29)*n)\/(n*n**(-26))*(n\/n**(-2\/23))**(10\/7) assuming n is positive.\nAnswer: n**(128966\/4669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 253 + u**2 + u**4 + 2*u**4 - 256 in the form h + m*u**4 + i*u**2 + o*u + d*u**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -8. Solve 1 = 4*w - 3, 5*m - z = 5*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**3 - 2*h - 1. Suppose 2*a + 39 - 43 = 0. Let i(s) = s**3 + s. Determine a*k(f) + 4*i(f).\nAnswer: -8*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*k**2 + 7*k - 17*k + 206*k**2 + 10*k.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 0*h + 0*h + 0 + h**2 + 0 + (-1 + 2 - 3)*(h**2 + 0*h**2 - 3*h**2) - 4*h**2 + 5*h**2 - 3*h**2 - h**2 - h**2 + h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4434, -8868, -13302?\nAnswer: -17736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4231 - 4219. Let j(q) = -q**2 - 7*q + 4. Let c(x) = 2*x**3 + 3*x**2 + 3*x + 3. Let l be c(-2). Let m be j(l). Solve -m*k + i = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**4\/2 - l**3 + 3*l**2 - 5*l + 26. Let v be f(-4). Suppose 1338 = -v*p + 54*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -25 + 7. Suppose -5*o - 20 = c*n, 8 = -4*n - 2*o - 0. Solve n*v + 12 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-175)\/((-11900)\/17)*(230 + -2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/30 - a**2. Let u(m) = -84*m + 58*m + 4 - 2 - 2. Give k(u(h)).\nAnswer: 1352*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 346323?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {g: 7, d: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34763, -69527, -104291?\n\"Answer: -34764*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = 4. Let t be g - 0*3\/(-9). Suppose 0 = -t*h + 2650210 - 830210. What is h rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3747?\nAnswer: 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 30 = -5*u - 3*g, 3*g + 30 = 5*u. Let t = u - 1. Let b = -2 + 5. Solve 4*w - t = b*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75 + 69 - 151)*(4*z**2 - z**2 - 5*z**2)*(5*z - 2*z + 39098*z**2 - 38615*z**2) as h*z**4 + t*z**2 + g + a*z**3 + o*z and give a.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3528 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280298503.\nAnswer: 11, 193, 479, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/750 and -14\/81405?\nAnswer: 4070250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y - 4*y)*(0*y - 4*y + 6*y) + y - 3*y**2 - 2*y**2 + 3*y**2 + (2*y + 0 + 0)*(0*y + 2*y - y) - 2*y**2 + 0*y**2 + 4*y**2.\nAnswer: -10*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/8)\/23*3?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-1 + 1)\/1. Suppose -5*d - 2 = -10*d + 2*k, h*d + 10 = 4*k. Find the third derivative of -2*n**3 - 2*n**2 + d*n**3 + 2*n**5 wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6535\/6 - 39313\/36. Find the common denominator of g and -33\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o - 50. Let f be x(15). What is the highest common factor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4*i + 1336*a**2*i**2 - 2*a*i**2 + 4*a*i + 76*i**2 - i wrt a.\nAnswer: 24*a**2*i + 2672*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -40*k + 73*k**3 - 38*k + 1 + 76*k. Let t be p(1). Let u = 76 - t. Calculate the least common multiple of 32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(((-12)\/(-18))\/(-2))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**2 + 6 + 30*m**2 + 9 + (2 - 1 - 2 - m)*(0*m + 2*m - m).\nAnswer: 23*m**2 - m + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -54*h + 1. Let r = -17 + 32. Suppose -5*w = 4*p + 27, 5*p + 0*p + r = 0. Is m(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16214 and 9701131.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15534 is divided by 136?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105424784, -210849548, -316274310, -421699070, -527123828, -632548584?\nAnswer: -737973338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -417914 - -300.72?\nAnswer: -417613.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 10. Let s be h(4). Let f be (-1)\/((-5)\/s + 2). Calculate the highest common divisor of 16 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(-1 + 2 + 1) + 3 + 0 - 5)*(-3 + 3 - 2)*(-1 + d + 1).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 894 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1494058 is divided by 286?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:53 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1068 and 16224?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*x - 5*x. Suppose -5*m = 3*v - 4*v - 2663, -x*m - 4*v + 2140 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 24 = s - 17, 4*g - 4 = -4*s. Let q = g + 134. Calculate the highest common divisor of 51 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 1269. Let f(y) = 3*y - 80. Calculate f(o(u)).\nAnswer: -6*u + 3727","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -10\/23, -4\/5, -1\/7, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25625050 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 12\/5068805?\nAnswer: 12\/5068805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577093 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + 1*sqrt(11) + (sqrt(22)\/sqrt(8)*-5)**2.\nAnswer: sqrt(11) + 271\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*w**2 + 21*w**2 + 132*w**2.\nAnswer: 254*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 + 4*n**3 - 9 - 3*n**2 + 8*n - 5*n**3. Let i be f(6). Let m be 1 - 2 - (-12)\/9. Sort m, 5, i in decreasing order.\nAnswer: 5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8273\/199 - -1831221\/3781. Let z = v + -526. Which is the nearest to 2? (a) 2 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.5 * -20342\nAnswer: -498379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.089695 - 0.09. Round s to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2. Let n be ((-24)\/48)\/((-1)\/3134). Let z(w) = 180*w**2 - 1567*w + n*w. Determine l(z(f)).\nAnswer: 64800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 16 = 26*f - 77 - 49 - 15, 5*f = 5*t - 15 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 1541*q**4\/4 - 2880*q + 2472. Find the first derivative of m(u) wrt u.\nAnswer: 4623*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*q + 10, 4*o + 0*q = -4*q + 24. Suppose -o*d + 458 - 63 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:28 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134916*b = -135028*b - 2128 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 11*s**2 + 72*s - 62. Determine j(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 66.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/254 - 133\/508. Let v = -147 - -136. Which is the fourth biggest value? (a) v (b) f (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from {y: 1, x: 3, a: 4, o: 2, l: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*d**2 - 43 - 1113*d**2 + 0.\nAnswer: -856*d**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*w. Suppose -3*d + 26 + 7 = w. Let v = -8 + d. Solve 2*j - v*j = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1896)\/(7*8\/224)*(-6012)\/(-501).\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106278 is divided by 216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*q = 0, 0 = -n - q - 3*q - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 253168955?\nAnswer: -4\/253168955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 - 2*u + 5. Let k(a) = -5*a**2 - 2*a + 6. Let l be -2 + 1 - 4\/(8 + -9). Suppose -32*b + 33*b - l = 0. What is b*k(o) - 4*y(o)?\nAnswer: o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*c - 23, -2*c - 17 = -0*c - 5*m. Suppose -c*w + 24 = 92. Let v = w + 30. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317852, -317550, -317050, -316352, -315456?\nAnswer: -314362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, -113, 2\/7, -3 in decreasing order.\nAnswer: 2, 0.5, 2\/7, -3, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-570*j - 305*j - 406*j + 506*j - 501*j - 420*j)*(-11*j**2 + 39*j**2 - 2*j**2).\nAnswer: -44096*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33359 divided by 762\nAnswer: 33359\/762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2434*q - 290502. What is y(114)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4 - 1 + w**4 - 3*w**2 - 9*w**3 + 2*w**3 - 8. Let t(q) = 4*q**3 + 2*q**2 + 2. Let l(o) = -2*j(o) - 5*t(o). Suppose l(r) = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 481787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24213 - -11?\nAnswer: -24202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 13) + 3 + -12 - (5 - 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let f(y) = -2*y**w - 96*y + 96*y. Let p(a) be the third derivative of a**4\/12 - a**2. Calculate f(p(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11021011212110 (base 3) to base 9.\nAnswer: -4234773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11217493, 11217507, 11217521?\n\"Answer: 14*l + 11217479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x + 5*q + 5, -5*x + 71 = q. Let w be (-55)\/x + (-2)\/6. Does 4 divide 18\/((-18)\/w - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43709 divided by 1439.\nAnswer: 43709\/1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 94724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 839012306 - 0.3?\nAnswer: 839012305.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -231706*u**4 - 966333 wrt u.\nAnswer: -926824*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 10, -4*w + 5 = 2*y - y. Let r = -3 - y. Let s be (-6)\/2 + -1 + r. Is s > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120123 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9584 - -9585. Which is the closest to i? (a) 1\/2 (b) -6 (c) 97 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2934 - 2929. Solve -7*i - 5 = -x*o - 2*i, 5*i = -10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/212623 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1959, 0.2, 0.3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110101011011 - 101?\nAnswer: 111110101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2796037*r**2 - 22*r - 100273 wrt r?\nAnswer: -5592074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.09, 213, -3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 3. Suppose -3*w = -0 + 9. Let i(m) = 2*m + 2. Let k(u) = w*i(u) - 2*s(u). Let b(p) = -p**2. Determine b(k(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(405) + -3 + sqrt(405) + -1 + 1)**2 - -6*(2 + sqrt(125) + 1 + 4).\nAnswer: -3216 + 246*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -j + 9, 3*j = -3*f + 2*f + 13. Let q be ((-2)\/1)\/(6\/(-12)). Calculate the greatest common factor of j and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311 - 212. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liflirfgwgiglgl. Give prob of sequence iirf.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/39 + 94\/65 + 39\/(-39).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 4*b**2 + 169*b - 4. What is s(15)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = 0. Let b(s) = -2*s - 6. Let o be b(-4). Suppose -o - 1 = -r. Solve h = -0*f - f + r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811602.8 millennia to years.\nAnswer: 811602800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 48*w**2 + 2. Let g be r(1). Does 29 divide 704 - ((-10)\/g + 28\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383086799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/(-10))\/(24104\/5423400)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -47980?\nAnswer: -14394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t**3 + 3*t**2 - 13*t - 83. Determine c(-5).\nAnswer: -943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-1)\/7*-20 + -3). Suppose 3*m - 8 = d. Solve m = -5*c + 10*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 10.2?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30562 != 30563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000045785 to seven dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.72 - 0.72. Let y = -13.18 + 13.13. Put y, 16, j in ascending order.\nAnswer: y, j, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 3 + 3)*(105*u - 105*u - 4*u**2) + (-u - u + u)*(2*u**3 + 3 - 3).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 2*a**2 + 18*a + 11. Give t(-5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-5 + 6 + -5 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360445, 720894, 1081345, 1441798?\nAnswer: 1802253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1 (c) 0 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**4 + 17*q**3 + 15*q**3 + 17*q**3 - 3*q - 56*q**3 to the form p*q**4 + b*q**2 + x*q + d + u*q**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.029337 - 26.699663. Round y to zero decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -4) + -1 + 1. Suppose 3*z - 19 = r, -6*r + 10 = -r. Let b = -5 + z. Solve 4*y - b*y = -v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 15*h - 8. Determine i(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4655.99172 to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from ttyflyytytktyy.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3543122*i**3\/5 - 175692*i**2\/5 - 2904*i\/5 - 16\/5 = 0.\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 10. Suppose 0 = g*p - 3*p + 18. What is the lowest common multiple of p and 16\/(-6)*(0 - 6)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s)**10\/((s**(-3\/4)\/s)\/s**(10\/9)) assuming s is positive.\nAnswer: s**(1903\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/63*(0\/2 - -27). Solve 17*b - 14*b = s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582 - 712 - 3*p**2 + 37*p**3 - 752.\nAnswer: 37*p**3 - 3*p**2 - 882","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 - -0.33. Let u = -4.98 - 0.02. Let o = u + 6. What is the second biggest value in i, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 19*q**2 + 36*q + 196. Determine g(-8).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) 3\/10 (c) 3\/2 (d) -12 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(242)*-6.\nAnswer: 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 + 132. Let z = -0.3 - -0.1. Let c = 4.5 - 4. What is the third biggest value in y, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 7 + 0*j**2 + 0*j**3 + 1\/12*j**4 + j. Let v(m) = 11*m. Determine v(h(p)).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101974 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 1 a when three letters picked without replacement from yyeeakkzd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 69. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-20)\/(80\/21))\/((-6)\/224)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4 = 4*m - 0, -2 = -5*u + 2*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2965489*v - 13891. Let n(w) = 427*w - 2. Determine 41673*n(h) - 6*t(h).\nAnswer: 1437*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 14.5. Which is the closest to 0.05? (a) 4 (b) n (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 71794?\nAnswer: 71798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -8, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -21 (c) -3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20985*y**2 + 10496*y**2 + 10488*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((55\/(-330))\/(40\/288))\/(1*6\/195).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 7. Let g be v(-4). Suppose i + 5*z = -8, 0 = 2*i + z + 3*z + 4. What is the derivative of -8*t**2 - 6 + g + 9*t**i wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y**3 + 1245*y**3 + 490*y**3.\nAnswer: 1783*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1053) + 1*(-3*sqrt(1053) - sqrt(1053)) + sqrt(1053))**2.\nAnswer: -108*sqrt(13) + 4221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31161 and 564?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0 + 2. Let v(p) = 6*p**2 + p. Let l be v(r). Suppose 2*n = 0, -d = -5*n - 6 + 3. Solve -l*k + 25 = 0, -5*u - d*k = -10*u - 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bywb. What is prob of sequence bw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143873, -144031, -144187, -144341, -144493, -144643?\nAnswer: -144791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -11, -6, 1, 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3454 is divided by 3436?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 13. Let w be q(9). Suppose -4*k - 5*i + 41 = -6, w*k - 35 = -i. Suppose 0 = -2*n - k + 58. Solve -n + 9 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 8*w**3\/3 + 3*w**2 + 5*w - 1001. Let i(n) = 7*n**2 + 5*n + 4. Let y be 3\/(1*6\/8). Let s = 0 + y. Calculate s*a(d) - 5*i(d).\nAnswer: -3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tit when three letters picked without replacement from {t: 13, j: 3, i: 1}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/12 + 4*n**3\/3 + 5*n**2 - 2*n + 18. What is c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(475))**2 - (-5 + 1 + sqrt(19))**2.\nAnswer: -2*sqrt(19) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 - 2*h + 37. Let u be l(0). Let s = u + -33. Suppose s*p - 3*p - 5 = 0. Solve -4*y + g = 7, 5*y - 1 = -p*g - 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 + 1853*n**2\/2 - 926*n.\nAnswer: -n*(n - 1852)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36967 + -36966.5. Which is smaller: s or -3734?\nAnswer: -3734","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 6*s**2 - 2. Calculate the remainder when m(7) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*s - 712. Let d = -244 + s. What is the smallest common multiple of 634 and d?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 8) in base 12?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/6)\/(6\/(-9)). Suppose 11 = g*m - 14. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594640.5 weeks in nanoseconds?\nAnswer: 359638574400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 90.487? (a) -4\/7 (b) 0.03 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1234*l**2*x + 49375*l**2 + l - 39*x + 1 wrt x.\nAnswer: 1234*l**2 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) -3 (d) 8\/43 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*k + 38, -10 = -k + 6*k. Let b be 182\/(-49) - (-6)\/w. Let u be (0 - 2\/20)*(-2 - b). Which is greater: u or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122002 (base 3) to base 12\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29446?\nAnswer: 2, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7189351656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*g + 120 = -127*g. Differentiate -121*b + 118 + 19*b + g + 0 wrt b.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 1. Let i(l) = 22*l**3 - 2*l + 1. Calculate -g(a) - i(a).\nAnswer: -21*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - m. Let c(f) = f**3 - 8*f**2 - 6*f. Let n(v) = c(v) - 6*l(v). What is the smallest common multiple of 7 and n(3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12731 = 9*t - 12586. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4017838, -8035584, -12053330, -16071076, -20088822?\n\"Answer: -4017746*o - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 4*r - 8. Calculate the lowest common multiple of x(4) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 98?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 565295 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) - (-105)\/6. Suppose -p = 4*t - 2. What is the second smallest value in -0.4, -2, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-15)\/q)\/q*q*q*q**(-17)\/q)**(-1\/22) assuming q is positive.\nAnswer: q**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -1037) + 9 + 91\/(-7) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*y + 5*s = -1032*y - 40, 2*y = 4*s + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -26. Let h = -11.3 - a. What is the closest to -3 in h, -2\/17, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0341 and 0.149?\nAnswer: 0.1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3443 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjvlla. What is prob of picking 1 j and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(4 + -1 + (sqrt(1377) - (sqrt(1377) - (sqrt(1377)*1 + 2))) + -4 + -4))**2.\nAnswer: -3888*sqrt(17) + 99792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - -38.54.\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 34585*o + 12035573. What is r(-348)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1 + 4*t**3 + t + 0 + 0*t**2 + t**2. Let v be o(1). Let c(h) = 14*h**2 + h - 2. Let k(f) = 44*f**2 - 4*f - 8. Let w(a) = 3*c(a) - k(a). Give w(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1346 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/100828 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -77. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8192945.\nAnswer: 5, 23, 191, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, 25, -0.069 in ascending order.\nAnswer: -0.069, 0.1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42566702716.995 and -0.4?\nAnswer: 42566702717.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2249799389, 2249799391, 2249799393?\n\"Answer: 2*l + 2249799387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/2 + 3 + 5. What is the second derivative of -6*a**4 - a**4 - 4*a + 2*a**f wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i - 3. Let q(u) = u**2 + u. Let g be q(-2). Let f be r(g). Let v be (15 - f)*2\/4. What is the greatest common divisor of v and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*v = v. Let g be -9 + 8 - (v + -4). Factor 5*b**2 + 5\/2 - 5\/4*b**g - 25\/4*b.\nAnswer: -5*(b - 2)*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v + 2*v**2 + 10*v + 9*v + 5*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161374 is divided by 2511?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 5:33 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -75?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.81055866 - 1.18944185. Let f = b + 9. Round f to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 4}. What is prob of picking 3 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 150?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**8\/56 + 17*u**4\/12 + 15*u. What is the third derivative of b(c) wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*((sqrt(245) + 1*-1*sqrt(245))**2 - (sqrt(245)*2 + -1)) - (1*sqrt(245)*-1 + sqrt(245)*1 + -4)).\nAnswer: 4 + 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 367 times -5.37\nAnswer: -1970.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.074652 and 27440?\nAnswer: 27439.925348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96650, 193267, 289884, 386501, 483118, 579735?\nAnswer: 676352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -265 - -507. Suppose -4*y + 3*k - k + a = 0, 9 = -3*k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 460, 458, 454, 448?\n\"Answer: -f**2 + f + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -24*d**3 + 4*d**2 + 8*d. Let h be x(-2). Suppose -2*r = -4*j - 70, 5*j = -5*r + r + h. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*c**4 - 66296*c**3 + 6133320*c - 41.\nAnswer: 2448*c**2 - 397776*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -2 - 1) + -20. Let v = q - -87. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 573303134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 11. Let y(j) be the first derivative of -1\/2*j**4 + 4*j + 2*j**2 - 3 - 4\/3*j**3. Let w(l) = -2*l**3 - 5*l**2 + 5*l + 5. Calculate r*w(b) + 5*y(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*-4*(sqrt(13) - (sqrt(156) - ((sqrt(156) - sqrt(156)*-4) + sqrt(156)))\/sqrt(12))**2.\nAnswer: -7485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55333 (base 6) to base 2.\nAnswer: 1111000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*i + 1019*i = 1472 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -161*25*54\/(-15525).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/561 + (-51)\/(-187). Sort s, -1, 2\/11 in ascending order.\nAnswer: -1, s, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 3. Let d(b) = -1. Let o(y) = -24 - 26 - 3*y + 58. Let n = 5 - 1. Let i be o(n). What is i*d(j) + l(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18733641347 - 2064821949117563\/110220. Let k = j + 1\/5511. Let y = -2343\/2 - -1145. Find the common denominator of k and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 23*f**3\/2 - f - 1. Let h(q) = -4*q. Determine h(c(z)).\nAnswer: -276*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 0.755?\nAnswer: -0.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 9*a**4\/2 - a**2 + 9*a - 46. Differentiate v(m) wrt m.\nAnswer: 54*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13220, 13783, 14346, 14909, 15472?\nAnswer: 16035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoy when three letters picked without replacement from {f: 2, z: 1, y: 2, o: 6}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7333 + -5?\nAnswer: -7340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -419.14404 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237923756?\nAnswer: 2, 7, 233, 36469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x + 6. Let r(n) = 4*n + 1. Let m(p) = b(p) + 3*r(p). Determine m(-8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -27*q - 4. Let h(j) = -7*j - 1. Let b(m) = 4*h(m) - o(m). Let a(l) = 17*l - 7. Let n(y) = 11*y - 5. Let c(d) = -5*a(d) + 7*n(d). Calculate b(c(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -12101?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 157977?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**8\/588 + 2*z**7\/735 + z**6\/210 - z**5\/105 - 6*z**2 + 8. Determine p so that t(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - q**5 + 1 - 2*q**4 + (-698*q + 285*q + 267*q)*(4*q**4 - q**4 - 2*q**4) + (3*q**3 - 3*q**3 - 2*q**3)*(1 + q**2 - 1) - 3*q**5 + 0*q**5 + q**5.\nAnswer: -151*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 147?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 11*i - 6. Does 6 divide q(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2701 * -178\nAnswer: -480778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5780f4 + 80?\nAnswer: -578074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + 30. Let v = y - 96.196. Round v to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-3)\/(-9 - -8). Suppose -t*p = -2*p + j, -21 = -4*p + 3*j. Let n be p*16\/12 + 2 + -2. Solve 0 = b + 5*x - 2, -5*x = 2*b - n + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -305 - 25b562?\nAnswer: -25b867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -10*y - 3356. What is the units digit of y\/6*6\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221819 and 909311?\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*g - 7*g, 3*g = -4*x. Suppose g = 4*i - 2*n - 96 - 156, n = 5*i - 315. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*v - 55 = 76, 5*a + v - 111 = 0. Let i = -23 + a. Suppose -5*j - 4*d + i*d = -306, -5*j - 3*d = -302. What is j rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2495, 4998, 7525, 10088, 12699, 15370, 18113, 20940?\nAnswer: 23863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z)**(1\/15) assuming z is positive.\nAnswer: z**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 - -94. Find the common denominator of 10\/q - (-1086)\/44 and 105\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/2 + 29249985*o\/2 - 58499946.\nAnswer: -3*(o - 9749991)*(o - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -25616*x**3 - x**2 - 6*x - 7. What is the hundreds digit of v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 2. Let a be u(-6). Let s = 7 - a. Let f be 9 + 10*3\/(-6). Solve -4*w + f*g - 4 = 0, 0 = -4*g + g - s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**3\/30 + 3*f**2\/5 - 13*f\/10 + 19. What is s in y(s) = 0?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -24. Suppose b = 5*h - 0*h - 1090. Suppose -4*w - 2*v + h - 68 = 0, 0 = 3*w - v - 115. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2\/4 + 43*n\/4 = 0.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9775308\/293560)\/((-3)\/1). Let j = -2\/7339 + h. Find the common denominator of 1\/6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - -54. Let k(f) = 18 + 0*f - f + f**3 + 10 - f**2. Is k(n) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e08b + -1?\nAnswer: 2e08a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(12)\/sqrt(4))**2 + (2*sqrt(27))\/sqrt(9).\nAnswer: -12 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**8\/504 + 2*f**7\/315 - f**5\/45 - f**4\/36 - 9*f**2 + 2*f. Find i such that d(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 218\/1 - (-3 + 1). What is the greatest common factor of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 305*x + 298*x + 76 = 0, 3*x = -5*o + 44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76638 rounded to 3 decimal places?\nAnswer: 0.766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -620 (base 10) to base 13.\nAnswer: -389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/40 - w**5\/10 + w**4\/6 - w**3\/2 + 2*w**2 + 154. What is q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 - 1 + 92*h - h**3 - 186*h + 92*h to u*h**3 + x*h + j*h**4 + d + o*h**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzszksszkkmzkkzk. What is prob of picking 1 s, 2 z, and 1 m?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3295, -3283, -3287, -3313, -3367, -3455, -3583?\n\"Answer: -s**3 - 2*s**2 + 25*s - 3317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1027*x**2 - 710*x. Let m(u) = -1026*u**2 + 712*u. Let b(i) = -3*f(i) - 4*m(i). Find the second derivative of b(w) wrt w.\nAnswer: 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 42 = -7. Suppose -3*i = -4*s + 20, 2*i = 2*s - x - 7. Let p(h) = -h - 2. Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -35*v**3 - 70*v**2 + 155*v + 280. Let a(g) = -5*g**3 - 10*g**2 + 22*g + 40. Let r(l) = 15*a(l) - 2*t(l). Factor r(p).\nAnswer: -5*(p - 2)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68.7 + -68.4. Let a = 0.04 - 0.34. What is the closest to 1 in a, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/7 + 2*y\/7 + 5 = 0. What is y?\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 465185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 20. Calculate v(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 30*y**2 + 0*y**2 + (3 - 3*y - 3)*(0 - 2*y + 1 + 1).\nAnswer: -20*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) + 42\/8. Let z(j) = 6*j - 3. Let q be z(4). Suppose w = c + p*w - q, -2*c + 4*w + 54 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g + 145 + 110 = -605. Solve 45*v = 40*v + g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32816 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(12\/(-70))*-2 + 0. Suppose 12*u = 19*u - k. Put -2, u, -1, 2 in ascending order.\nAnswer: -2, -1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 604905*d**2*g**2 + 25*d**2*g + 765*g**2 - 4911*g wrt d.\nAnswer: 1209810*d*g**2 + 50*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1567*g = 3*a + 1564*g + 57, 2*a - 38 = -2*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqhhsqsh. What is prob of sequence qss?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-9))\/((-20)\/(-2580)). Suppose 540 = 61*d - g*d. Solve 0*w = 4*u - 2*w - 22, 0 = -5*u + 5*w + d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - q**3 - 4*q**3 + (-2*q + 3*q - 2*q)*(-q**2 + 0*q + 0*q) - 180*q**3 - 274*q**3 - 321*q**3)*(-q + 0*q + 0*q).\nAnswer: 776*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1633 - 8?\nAnswer: -163b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21221 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 8 = 29*n - 32*n, -3*n = -5*r + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 10\/57 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8474 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f = -272*f + 2110368. What are the prime factors of f?\nAnswer: 2, 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 19. What is the units digit of (q - -2) + -2 + 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82169.41l?\nAnswer: 82169410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -49 and -133770407.\nAnswer: -133770456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(sqrt(110)*2*-4)\/sqrt(10))**2 + -4 + ((6*-2*sqrt(88))\/sqrt(8))**2.\nAnswer: 26927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 281064?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 73?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let y = -326 - -329. Sort k, y, -1 in increasing order.\nAnswer: -1, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13704 divided by -3324.\nAnswer: -1142\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 92 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 20, -13, -80, -193?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1719 = 2*n, -n + 5*w - 80 = -937. Let t = -862 + n. Let a = 531 + -3723\/7. Are t and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/7 + ((-3)\/11 - 5712\/(-10780)). Which is the nearest to -0.2? (a) 33 (b) f (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18272 divided by -1142\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 12966 = 5423. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a3 + -1c451?\nAnswer: -1c4f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, 184, -25, -4 in decreasing order.\nAnswer: 184, 13, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.664 - -0.664. Which is the second smallest value? (a) u (b) 0.05 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 44340*h. Let x(z) = -z. What is m(x(s))?\nAnswer: -44340*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-6)\/(-4) + (-7)\/7). Let j be (i\/(-3))\/(0 + 2\/(-2)). Factor -2\/3*r**2 + 0*r + j*r**3 + 0.\nAnswer: r**2*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 1128654.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 138826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 57*s - 88. Let l(b) = 102*b - 175. Let v(h) = -7*d(h) + 4*l(h). Calculate v(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8) - -2) + -1. Let g = -559 - -558.6. Which is the fourth smallest value? (a) g (b) 4 (c) q (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 10. Let q be (-3)\/(-9) + (176\/(-6))\/(-8). Let z be (-9)\/(-39)*q\/g. Is z at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1100) + (sqrt(1100) - 6*(sqrt(1100) + sqrt(1100) + -3)) + 3)**2)*6 + 4.\nAnswer: -25200*sqrt(11) + 662626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h - 29*h + 2*p - 26 = 0, 2 = 2*h + 5*p for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -59*t + 121. Factor -p**3 - 2*p**2 - 2*p**t + 0*p**3 + 5*p**3.\nAnswer: 2*p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55295 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 641, 4993, 16609, 39053, 75889?\n\"Answer: 594*w**3 + 68*w**2 - 10*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 0 + 120*t - 1.\nAnswer: 120*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4 - 152*c**6 - 45*c**2 + 30*c**2 - 46*c**2 + 64*c**6 + 3*c wrt c?\nAnswer: -10560*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 4\/627 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 - (-62)\/4. Let z = n - -5. What is the remainder when z is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7488 - -7494. Solve 15*t + 2*i - 6 = 19*t, -2*i = 2*t + m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -1) + 7\/(-7). What is the smallest value in p, 4, 12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**2 - 2*r - 4. Suppose 1 - 5 = -n. Suppose -5*q = -3*q + 2. Let i(u) = u**2 - 1. Let o(y) = n*i(y) + q*m(y). Factor o(w).\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 29*t**2 + t + 34. Determine l(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212*g + 81*g - 1 - 341*g - 430*g - 427*g to the form x + f*g and give f.\nAnswer: -1329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r + 1910*r**2 - 1833*r**2 - 18*r.\nAnswer: 77*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 1 + 2*j + 3*j**2 + 4*j. Suppose 5*l - 30 = -5*q, 0*q + q = -5*l + 26. Suppose l*p - 25 = 10*p. Give i(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3419*n + 78671. Determine y(-23).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24883 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 p = -1371 - -1370.5. What is the nearest to 1 in p, -0.3, -0.189, -5?\nAnswer: -0.189","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(30\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/3 - 22*q**2\/3 + 52*q\/3 - 32\/3 = 0.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27491 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - (10 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Let g = 348 + -321. Differentiate -g + 65 - 40*s + o*s with respect to s.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5705, 7, 1\/13, 2\/27 in decreasing order.\nAnswer: 5705, 7, 1\/13, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3 + 14*o**3 + 68*o + o**3 - 61*o wrt o?\nAnswer: 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -299844, -599086, -898328, -1197570, -1496812?\n\"Answer: -299242*b - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = s + 2*s. What is the remainder when ((-1*2)\/(-4))\/(s\/(-424)) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*d + 4 - 5, 2*a + 4*d = 0. Suppose 0 = -v - v - a. Which is greater: 3\/62 or v?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)*n*n\/(n\/n**21*n)*n*n)\/(n**(-2\/53)*n\/n**(8\/9)) assuming n is positive.\nAnswer: n**(5212\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + -3 + (sqrt(363) - (3 + sqrt(363)))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -6c5?\nAnswer: -6d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12173174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-55624)\/(-56) - (-6)\/(-21). Suppose -2*j + a = j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 434414431 + 114?\nAnswer: 434420100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -491292 + 491263. Let f = 4 - 2. Suppose 4*s + 104 = f*b - 6*b, -b - 4*s - 23 = 0. Is b smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 11*w**3 + 28*w**3 + (-2 + 2*w**2 + 0*w**2 - w**2)*(-288*w + 173*w + 258*w).\nAnswer: 181*w**3 - 286*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o = -30 + 77 + 73 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -10. Suppose 6*t = -446 + 14. Calculate the lowest common multiple of (t\/48)\/(6\/(-28)) and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 80*u**2 + 112*u + 5. Calculate m(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38709169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72\/5 of a century?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/308)\/((-5)\/2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p)**30)**32 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 2*r - 87. Suppose -15*k + r = -148. Calculate the remainder when k is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.5, -1, 1420, -3 in ascending order.\nAnswer: -3, -1, -0.5, 2\/15, 1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4689*(5 + (-30 - -18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1355 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/555 > -1093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5 - 693*w**4 - 39669*w**3 + 41061*w**2 + 39672*w - 40368 = 0 for w.\nAnswer: -116, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -37*j + 41*j. Let m(o) = 18*o - 75. Let t be m(4). Which is the biggest value? (a) t (b) j (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1709685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 + -116. What is the remainder when 28 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 15*o**3 + 27*o**2 - 21*o + 6.\nAnswer: 3*(o - 2)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*c + t, 4*c - 18*t - 41 = -21*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539258.\nAnswer: 2, 19, 23, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98591 = -7*a - 3300. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450 and 91170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 21. Suppose -i - 3*i = -q - 44, b*i - 56 = q. Suppose i = v + 3*s + s, 0 = 3*v - 5*s - 53. Calculate 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 p(z) = z**2 - 37*z - 39. Give p(38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/20)*w)\/w)\/(w*w**(-1\/9))*(w**(-2)*w)\/w*w*w**(-5\/2)*w*w assuming w is positive.\nAnswer: w**(-241\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 27*k**2 + 72*k + 2. Let c be w(-24). Suppose -7*v + 23785 = -2*v. What is the derivative of -b**c - v*b + 4757*b + 2 wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6318 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -9*f + 2052. Is 36 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3854?\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 12*o**2 + 8*o - 5. What is the remainder when 276 is divided by g(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-4)\/(-6))\/(28\/21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1860200, -3720400, -5580602, -7440806?\n\"Answer: -i**2 - 1860197*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y + 126. Let r be n(26). Suppose 19*z + r = 37*z. What is the lowest common multiple of 60 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 13*p - 17. Let t be q(-15). Let i = t + -13. Is i <= 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from elll.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i*i*i*i*(i*i**(-13))\/i*i)\/i)**(-17\/6)*i**1*i*i**4\/i assuming i is positive.\nAnswer: i**(149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:53 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3 - 76*d**2 - 22445*d - 181023070.\nAnswer: 6*d**2 - 152*d - 22445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(126)*-1 - sqrt(126)))\/(-2*sqrt(225)))\/((2*sqrt(32))\/(sqrt(44)\/(sqrt(33)\/sqrt(3)))).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -5*p**2 + 1. Let x be j(-20). List the prime factors of 10\/(-35) + x\/14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*d = -7*k + 16, -5*k - 5*d + 25 = 0. Let c be k\/((-1 - -1) + -1). Let p be 3\/(-1) + (6\/2 - 0). Put 4, c, p in decreasing order.\nAnswer: 4, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(104)*1 - sqrt(104))*3 - -4*1*sqrt(104))*-6)\/((sqrt(64) + ((sqrt(64)*-3 + sqrt(64))*-2 - sqrt(64)) + sqrt(64))\/(sqrt(800)*3)).\nAnswer: -288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z. Let t(y) = 38*y**2 - 6*y + 6. Let c(b) = 34*b**2 - 5*b + 5. Let x(o) = 6*c(o) - 5*t(o). Calculate x(j(s)).\nAnswer: 126*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*s - 9*s - 8*s)*(67*s**3 + 59*s**3 + 83*s**3).\nAnswer: -6061*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 7*o + 10. Let f be t(2). Suppose -3*m - x + 0*x = -2725, 5*m + 2*x - 4543 = f. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -6. Let v(c) = -3*c**3 - 6*c**2 + 3*c - 12. Let u be v(d). Suppose -u*w = -197*w - 4. Solve y + w = 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4160321, -4160326, -4160333, -4160342, -4160353?\nAnswer: -4160366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.32 (b) 15\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 17. Suppose -5*c - l = -4*o - 0, 0 = -2*c + 2*o - 2. Is -1 != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120.06 - -120. Let p = 264 - 259.94. Let d = p + f. Which is the nearest to 1? (a) 1 (b) -1\/10 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178181 and 736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688*u - 644*u + 255*u.\nAnswer: -1077*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3599 + 3675 = -38*w. Put w, 0, 3, -3, -4 in descending order.\nAnswer: 3, 0, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 4*g + 25. Let x be a(10). Suppose -j = 4*h - 57, 2*j = -5*h + x - 13. Solve -5*k - h = 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (9 + (-19 - -10))) + 6 + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -40*w + 1. Let j be y(-3). Let n(m) = -68*m - 3457. Let d be n(-51). Calculate the highest common factor of j and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 25*y**2 - 25*y + 28. Let v be w(-26). Sort v, -12, 7 in decreasing order.\nAnswer: 7, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -400.5424 + -0.4576. Is r < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d + 358. What is the hundreds digit of v(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbchebthtwbetthhe. What is prob of sequence beh?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 0*i + 2*i)*(3 - 1 - 6) + 4*i + i + 0*i)*(-5*i + 3*i + 0*i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38395\/8083 or -4?\nAnswer: -38395\/8083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98240 divided by -19648?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7609336 is divided by 733.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 97*241\nAnswer: 23377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4 + 34*u**3 - 31*u**2 - 66*u = 0.\nAnswer: -1, 0, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/254266004 and -81\/20.\nAnswer: 1271330020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10, -3*d = -4*w - w - 485. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -68. Let s = x + -49. Are s and 0.038 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0374 to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -212?\nAnswer: 9\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 84*m**2 - 160*m + 14679. Determine r(84).\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.5030465 + 0.0079765. Let z = v - 220.38193. Let i = -225 - z. Round i to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -6. Let s be (-15)\/72*1\/(y\/(-3)). Is s >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let i(c) = 159*c - 143080. Determine f(i(t)).\nAnswer: -159*t + 143080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 22*a**2 - 11*a - 22. Let l be r(-3). What is the greatest common divisor of 33 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 142580\/7 in 1\/7, 34, -0.4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36816263 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - 2.6. What is the nearest to -0.1 in 3\/4, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 8 = 18*n. Let b(w) be the first derivative of -2*w**2 - 1\/5*w**5 + 2 + 0*w**n + 0*w**3 + 0*w. Find the second derivative of b(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11505*c + 11553*c = -288 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*x - 2*m, 3*x + m + 12 - 61 = 0. Let k(l) = -15*l - x + 17*l**2 + 13*l - 10*l. Let n be k(-27). What is n rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t**(-2)*(t*t**4)\/t**2*t**(-2\/17)\/t*t**(-6)*t**(-1\/5)*t**(-4\/3) assuming t is positive.\nAnswer: t**(-1951\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 1. Suppose 4*b - 4*c = 108, b + c = -c + 27. Let w = b + -28. Let n(l) = 3. Let d(t) = w*q(t) - n(t). Calculate d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 6*k - 6*k - 2)*(2*k**2 - 6*k**2 + 2*k**2).\nAnswer: 22*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356566 divided by 50938.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Is 13 a factor of ((-3)\/m - -79) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 0. Suppose i = -c - 2*c + 72. Calculate the remainder when 94 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006875 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -22, -21, -16, -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-6 - -1) + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 67 - 40 - (29 - 46)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5969748854.\nAnswer: 2, 23, 2083, 62303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -p - 9*q + 4*q, 5*q - 15 = 5*p. Let m be (-32)\/3*15\/p. Suppose -2*c - 8 = -m. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -w + 62, 4*w - 150*g = -148*g + 292. What is the lowest common multiple of w and 1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*361.36\nAnswer: -180.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40.44193316795 and -0.8?\nAnswer: 39.64193316795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -624082, -1248126, -1872134, -2496106, -3120042, -3743942, -4367806?\n\"Answer: 18*j**2 - 624098*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Suppose -5*w + 0 = -d. Put 4, w, -1 in decreasing order.\nAnswer: 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107770494 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162 - 1648 = 4*b - 542*s, 5*b = -2*s - 115 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19745 + -7?\nAnswer: -19751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49236034, -98472066, -147708098, -196944130?\n\"Answer: -49236032*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 2*v + 1. Let q = 197\/6 + v. Which is the smallest value? (a) q (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83 - (11 + -11 + (4 + 7 - 23))) + -12.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 160 - 59 - 63 - 2166*n.\nAnswer: -2166*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12633 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/7458 and 1\/2712.\nAnswer: 29832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81863 is divided by 39328?\nAnswer: 3207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18747 is divided by 74.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:59 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -1)*(1 + 1 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*n - 25, -5*x + 3*n = -4 + 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74250 and 1.819.\nAnswer: -135060.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*4*sqrt(405)*1*6)\/(sqrt(1296)*1*-2*-3))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*k - 4*u, 5*u = 4*k - 0*u + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3129168ml?\nAnswer: 0.0003129168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067348461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 679026?\nAnswer: 12901494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 13. Let g = p - -20. Let x = 4 - g. Which is the third biggest value? (a) -2\/15 (b) 2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.19 and 2108.5?\nAnswer: 2108.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 36*f**2 - 72*f - 129. What is t(38)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7.6. What is f rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.1 - -2.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0)**(-8\/5))**(1\/47) assuming d is positive.\nAnswer: d**(-8\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-8))\/(3\/(-8)). Find the third derivative of 2*p**6 - p**6 + 7*p**2 - 5*p**d wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.6 + -17.78. Let f = b - -0.18. Let o = 1 + 0. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1015*g - 13. List the prime factors of s(-1).\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4605248 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-208)\/(-78)*483\/14. Solve -11 = b*q - 81*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8124, -16870, -25616, -34362, -43108?\nAnswer: -51854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 3091 in ascending order.\nAnswer: -5, -2, 3091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -10032230132?\nAnswer: 10032230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 21*r**2 + r + 43. Suppose -2*u + p + 155 = -22, -u + 3*p = -101. Calculate the remainder when u is divided by m(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z**3 - 4*z**2 - 2*z + 2. Let a be h(-3). Suppose -4*u + 3*p + 31 = -230, -5*u = p - a. Is u + -2*(-2)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*j - 888 + 502 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/28*-1954506 - 4\/14. Let l = k + 1294823. Round l to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 20*m**2 + 17 - 7*m**2 + 29*m**2 + 29*m**2 as a*m + b + s*m**2 and give s.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9) - (-18)\/27)\/(12\/1116).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 492268700 to the nearest integer?\nAnswer: 22187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.62 + 0.63. Let b = -0.00999847 + i. What is b rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 247, 383, 519, 655, 791?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-18 - -9)) + 161 + -68?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.808387 years in millennia?\nAnswer: 0.005808387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, u: 3, d: 3, c: 3}. Give prob of picking 1 u, 1 k, and 2 c.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 2*a**4\/3 + 49*a**3\/6 + 2*a**2 - 12*a. Let z be b(-6). Let u = 2 + -5. Sort 4, -1, z, u in descending order.\nAnswer: 4, -1, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*o**4 + 2\/3*o - 19\/6*o**3 + 11\/6*o**2.\nAnswer: o*(o - 4)*(o - 1)*(4*o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583935 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2124 + -940. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 56229 + 1409. Suppose 6*s = 10*s - g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -5. Let n be (-4 - 4)*a\/8. Let p = -12 + n. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5614478889.\nAnswer: 3, 1871492963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 363 = 5*l. Let j = -358 + l. Solve -2*b + j*v = -0*b + 24, 0 = 2*b - 4*v + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 3*n - 5229. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.115599 millilitres in litres?\nAnswer: 0.005115599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 25 = 0, 0 = -2*i + 3*z - 7 + 22. Which is greater: i or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1208 and 30788.\nAnswer: 9297976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 1\/6*j**4 + 0 + 0*j**2 + 0*j**6 + 0*j**3 - 1\/2520*j**7 + j + 0*j**5. Let m(x) be the third derivative of c(x). Factor m(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - -3 - -2) - (26 + -9)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10173 - 4465949\/439. Let p = 22397\/1756 + x. Suppose v + 78 = -3*v + 5*c, -5*v - 89 = -2*c. Calculate the common denominator of v and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5) - (1 + sqrt(80))))**2.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 12*u + 312 = 0. Calculate the highest common factor of 111 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134261 + -134267.0019. Let h = -0.03 - 5.97. Let g = h - d. What is g rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 4, 0, 14 in decreasing order.\nAnswer: 14, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*l**3 - 371*l**4 - 282*l**4 + 652*l**4 - 11*l**2 + 3*l to c + k*l + z*l**4 + a*l**2 + o*l**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y. Let w(x) = 13607*x. Give w(g(r)).\nAnswer: -95249*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-11)*(-7)\/((-14)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 4*l. Let m be a(-2). Let b(r) = 2*r - 162 + 161 - 3*r. Calculate b(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194 + 192. Which is the second biggest value? (a) -0.4 (b) -45 (c) q (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -760.\nAnswer: -21\/760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6208363*i**2 - 7939775.\nAnswer: -12416726*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64937740*g**2*p - 3*g**2 + 4*g*p - 632*g + 42*p + 17 wrt g?\nAnswer: 129875480*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*t = -14840499 + 14845244 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i + 203 = -281 + 188 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - (858\/180 + (-14)\/(-35)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + 266*b - 700. Let t be o(86). Let w(u) = 2*u**2 + 19*u - 60. What is w(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*u**3 + 44*u**3 - 154*u**4 + (2 - u - 2)*(-2*u**3 - 3*u**3 + 3*u**3) - 3*u**4 + 6*u**4 + 0*u**4.\nAnswer: -149*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1 - 1 + r**2. Let j = 0 + 3. Let c(d) = j*d - 4*d - d. What is l(c(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25218140869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/109, -1, -0.1, 2, -2186?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3911*q - 3906*q + 15664*q - 3906*q - 3913*q.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.308 * -23\nAnswer: -7.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94316939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -5 (c) -3 (d) -11 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 29. Suppose b = -0*i + 3*i. Suppose -4*p - 2*s + 1946 = i, 0 = 4*p - 7*p + 5*s + 1466. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 997*z**2 + 565 - 565 - 10*z.\nAnswer: 997*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11118489, 22236975, 33355461, 44473947, 55592433?\n\"Answer: 11118486*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(343))*-1 + sqrt(343) - -1*-2*sqrt(343))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*c**2*s**2 - 13684*c**2 + 138502*s**2 - 736*s wrt s.\nAnswer: -168*c**2 + 277004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 4*s - 6. Let h(m) = -4*m**2 - 12 + 3 - 1 + 8*m - 3. Calculate 6*h(d) - 13*u(d).\nAnswer: 2*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.4661 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4310, -3, 3\/14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 257\/3. Which is the biggest value? (a) -2 (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2502*j - 372794. Determine k(149).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {m: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4\/5 (b) 0.5 (c) -5\/16 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2*f - 17, -6*g + g + 2*f + 13 = 0. Let q(r) = r**3 - 2*r**2 - 3*r + 2. Let b be q(g). Is (3 + 5\/b)*82 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:17 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.4999959 - 9.5. Round t to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 + 552476*w**2 + 19077134396*w + 19076581924 = 0. Calculate w.\nAnswer: -69059, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from gqa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -55*x + 20. Let g be s(3). Let q be (-2)\/g*17\/(-68)*20. Which is the nearest to -1? (a) 3 (b) -1\/8 (c) 5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/46529 and 15\/46529.\nAnswer: 46529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p + 33. What is the lowest common multiple of 6 and h(1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/3*y**2 + 14\/3*y**3 - 10*y + 0 - 2\/3*y**4.\nAnswer: -2*y*(y - 5)*(y - 3)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7699421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhg when three letters picked without replacement from {h: 1, o: 1, r: 1, x: 2, k: 1, g: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1.5, 1, -0.9?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 36*t**2 + 30*t - 36. Let l be s(36). Suppose -2*k + 600 + 419 = 3*c, -l = -2*k + 2*c. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - -73. Suppose 0 = -w*c + 105*c + 590. What is the remainder when c is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 17. Let u be i(-12). Let a(o) = 3*o**3 + 3*o**2 + 3*o. Let s(l) = -10*l**3 - 8*l**2 - 9*l. Let h(f) = u*a(f) + 2*s(f). Calculate h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9727, -19413, -29105, -38803, -48507?\nAnswer: -58217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*y**2 - 357*y - 276.\nAnswer: -3*(y + 23)*(5*y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -968, -3535, -7814, -13805?\nAnswer: -21508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2. Let z(i) = -10189254*i**2. Give g(z(k)).\nAnswer: 103820897076516*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-90))\/((-148)\/1443*13).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 - 28*w**2 + w**3 + 26*w**2 + 108 as y*w + v*w**3 + i*w**2 + j and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009153 rounded to 4 dps?\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04338 - -0.35662. Let v = 2587\/11 - 235. What is the nearest to -1\/3 in u, 8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186785112.\nAnswer: 2, 3, 7782713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3786693542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 897, 1, 2.\nAnswer: 1, 2, 897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-0.63\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-1))\/r*r)**(-1\/5)*((r**1\/r)\/r)**15)**(-20\/7))**(5\/13) assuming r is positive.\nAnswer: r**(220\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/116 - 23\/4) + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263835?\nAnswer: 5, 252767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38737920 and 42240.\nAnswer: 426117120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + -3 - (-1 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75547631*u*y**5 + 2*u*y**2 - 26*u - 3950329*y**2 wrt y.\nAnswer: -4532857860*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/34615 and 44\/315.\nAnswer: 311535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -120*m**4 + 1445*m**3\/2 - 1455*m**2 + 990*m - 20 = 0?\nAnswer: 1\/48, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -76. Let w = -5.56 + 8. Let z = -2.5 + w. Which is the closest to 1\/2? (a) -0.2 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-5\/4)\/k))\/(k\/(k*k*k*k**(2\/11)*k*k)*k*k))\/(k**(-3))**(-18))**(-25) assuming k is positive.\nAnswer: k**(53425\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -2 + (sqrt(147)*3 - sqrt(147)))*-2)**2 + ((3 + sqrt(147))*-6)**2*6.\nAnswer: 8736*sqrt(3) + 39004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 15 + 1*-1. Suppose -5*b - 2*v = v - 35, 13 = -l*b + 5*v. Let i be 2 + 0 + -3 + 72\/(-36). What is the nearest to 0 in -0.1, i, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 32988*q**3 - 68128369*q**2 + 475686960*q - 831745600.\nAnswer: -(q - 4120)**2*(2*q - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -531 - 109. Suppose 5*h - a = -0*h + 3*b, 3*h - 3*b - 72 = 0. Calculate the greatest common factor of 12 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45131?\nAnswer: 45131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(1 - -11) - -6)\/(22\/2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {p: 1, z: 1, b: 1, u: 2, i: 3, r: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -0.5 (c) 1.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197458410 to the power of 1\/2, to the nearest integer?\nAnswer: 14052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 - 8*p**2 + 0*p**2 + (2*p**2 - 3*p**2 + 7*p**2)*(1 + 1 - 3)*(1 + 2 - 1 + (-4 + 1 + 1)*(-3 - 2 + 4) + 1 - 1 + 2 - 1 + 0 + 2 - 4 + 4 - 3).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -3 - 0 - -5. Suppose d*l - 3*l = 6. Let 1\/4 - 1\/4*y**l - 1\/4*y**3 + 1\/4*y = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwr when three letters picked without replacement from prppppkwvpq?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -6, -4, 1155 in descending order.\nAnswer: 1155, -4, -6, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -5089.\nAnswer: -508.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3122369 divided by 400\nAnswer: 3122369\/400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfhh when four letters picked without replacement from {h: 6, f: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.22245?\nAnswer: 0.4449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43859, 87862, 131865, 175868?\n\"Answer: 44003*g - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.01. Let x = 82 + -82.4. Sort z, x, -3 in increasing order.\nAnswer: -3, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.81322g to milligrams.\nAnswer: 54813.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 32*j + 5. Let f be y(-35). List the prime factors of (-10)\/(-125) - 29192\/f.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 8) in base 9?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/240 and 37\/5700.\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 10. Let o be a(8). Let y(z) = -3*z**2 + z + 2. Let k be y(0). Suppose o = -3*i + k*i. Let q(r) = -r**2 - 4*r - 2. Calculate q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 5*a**2 - 6. Let k(f) = 2*f**3 - 9*f**2 - f + 13. Let z(t) = 3*k(t) + 7*n(t). What is the units digit of z(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2 + 2 + -2). Suppose g*n + 5*n - 110 = 0. Solve 15 = -5*k - o, -5*k = -o - 7 + n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(-3*(sqrt(684) - (sqrt(684) - (0 + sqrt(684))))*4 - (-1 + sqrt(684) + -2*sqrt(684) + 5))**2)*-2*-1.\nAnswer: -662234 - 4224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(300)*6 + -3)*3 - 6*((-2*sqrt(300) - sqrt(300)) + -1 + sqrt(300)*2*-1))*3.\nAnswer: -9 + 1980*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**5 + 24*l**3 + 903*l wrt l.\nAnswer: 80*l**3 + 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*j**2*v**3 - 11*j**2*v*x - 3157*j*v**3*x - 4*j*v**2*x + 142*v**2*x wrt v?\nAnswer: 48*j**2 - 18942*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/29655 and 23\/537.\nAnswer: 5308245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*f + 96 = 146*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-144)\/(-64))\/((-55)\/(-16)))\/((-612)\/4590)\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**6\/60 + v**5\/12 - 5*v**4\/24 - 5*v**3\/3 - 3112*v**2. Give o(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 8*t + 16 = 13*t, -3*c - 19 = -4*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 6*k - 4. Is z(9) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 365 - 253. Suppose -i + 5*i = y. What is the remainder when i is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*y - 180 = -141*y. What is the highest common factor of 130 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0561 - 63.3439. Let x = 33.5 + f. Let j = x - -28. Is j not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*t - 139, -3*t + 0*k - 3*k + 69 = 0. Suppose t = 4*o - 2*o. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5380319138 to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1115349*i + 1115349*i + i**3 + 283*i**2.\nAnswer: i**3 + 283*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7637 and 2182?\nAnswer: 15274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three halves of a gram?\nAnswer: 26500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1194*q - 133226 + 229940 = 0 for q.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2599082 by 2.\nAnswer: 1299541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 8*w**2 + 29*w + 34. Determine n(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.064 * 9\nAnswer: 0.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1184*q + 5*p + 5 = 1180*q, -35*q - 3*p = -160 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 2*n. Suppose 56*b - 23*b = -330. Let f(d) = -5*d - 1. Let w be f(2). Let l be w\/(-4) - b\/40. Give c(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 11:04 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q = 8*q - 48 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 30 = -2*l. Let k = 29 - l. Calculate the least common multiple of k and (12 - 0)*(1 + 1\/3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -24. Let l be 27792\/120 + g\/5. What is the highest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*v = 6, -4*v - 1 = -a + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1092420 by -1156.\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 0.2 (b) 1 (c) -1\/792 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*u = -4*u - 5 - 2675 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 110*a**2 + 7136*a - 1093. What is w(-65)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70787.8 meters in centimeters?\nAnswer: 7078780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5883786 rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 23*q**2 + 18*q - 55. Let o be x(12). Solve 48 = -25*g + o*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138*j**2 - 3*j + 295.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8038.08253 + 8038. What is o rounded to 3 dps?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 9161700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393523202.\nAnswer: 2, 196761601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 259 and 14?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19412445*k**2 - 20*k - 1367718.\nAnswer: -38824890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1992*v - 262680 = -2784*v for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -4, -10\/33, -9, -2\/7?\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 8*v - 23. Let n be t(-7). Let d be n\/10 + (-32)\/40. Suppose 0*o + d = 3*f - 5*o, -2*o = 0. Solve 2*y + f = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 17\/27683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 4*q + 2*q)*(q - q + 2*q) - 3*q + 3*q - 1 - 2*q**2 - 2*q + 2*q - 3*q**2 to t*q + z*q**2 + n and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3347297.\nAnswer: 3347297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6390*a + 76467. Calculate m(-12).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -874 - -2623\/3. Find q, given that 4\/3*q - q**2 - f = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**3 - 5 + 5 + 0.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryteper. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w = -5. Let s be 52\/28 + -1 + w. Let q = -5\/14 + s. Which is the closest to -0.1? (a) q (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33334085.\nAnswer: 5, 53, 125789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + (((sqrt(2205) + -2)*3)**2 - (2 + -1 + sqrt(2205))))*4 + -4).\nAnswer: -18648*sqrt(5) + 477072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(((-18)\/(-28))\/(-9)). Let t = -18 + g. Sort t, 4, -3 in descending order.\nAnswer: 4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17969511 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.595663 decades in centuries?\nAnswer: 0.0595663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*a - 13 = -0*a, 3*w - 3*a - 24 = 0. Solve -6*p + w = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3890 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*t + 42 = -6*w, -274*w + 2*t - 8654 = -1800 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2. Let f(a) be the third derivative of 0*a**3 + 0 - 2*a**2 + 0*a + 1\/8*a**4. Give f(k(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 446 = -4*q, 4*n + 3*q - 294 - 38 = 0. Let x be n\/559 - (-160)\/(-26). Let j(k) = -k - 8. Determine j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/(d**(2\/9)*d))\/(d**(-2\/7))**(-1\/22))**(-33) assuming d is positive.\nAnswer: d**(4321\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/20 + (-1)\/4. Suppose 4*s - 14 - 6 = y. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0*s**3 + 0*s**2 + 0*s**4 + 3\/10*s**5 + 5*s + 0 + 7\/10*s**6. Factor i(q).\nAnswer: 3*q**3*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 8:55 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6001)\/(-153) + 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 hundreds digit of 10475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 5. Let t(q) = -5*q - 9. What is -3*t(d) + 5*x(d)?\nAnswer: 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*g - 3*l, -4*g + 2*l + 15 + 5 = 0. Suppose -20 = -5*u, -g*u + 517 = 2*i - 245. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3049 - 1009 = 0. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 462, 694?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 240740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2*m - 5*m. Suppose -y + 3*y + 370 = m. Let a = -100 - y. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-12 + 6 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368 and 161?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 281, 444, 681, 1016, 1473, 2076, 2849?\nAnswer: 3816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -7\/87894657 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/136 and -67\/24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/3 (b) -2\/9 (c) -3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -7. Are a and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 383936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*n - 6 - 8 = 0, 0 = -3*u + 5*n + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 10, -5 in decreasing order.\nAnswer: 10, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2 (b) 1 (c) -259 (d) 68 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 - 186. Sort -3, 11, r in descending order.\nAnswer: 11, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (304\/12)\/2*-21. Let n be 1 - 0 - (s - -2). Suppose 0 = 6*d - d - n. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 2*u + 3*u)*(3*u + 0 + 0) - 2*u**2 - 2 + 2 in the form l*u + k*u**2 + n and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - 12*b - 1066. What are the prime factors of v(-51)?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9}. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*r - 450*r - 692*r.\nAnswer: -1398*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 - -119. Suppose 88 = n - r. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 - 5 = 0, 0 = -4*c - d + 1191. What is the lowest common multiple of (24\/(0 - -2))\/(28\/14) and c?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.7 - 2.3. Let k = 10 + j. Which is smaller: -0.9 or k?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149814.\nAnswer: 2, 3, 7, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 780*j**4*y**3 + 3*j**2*y**3 - 123*y**3 + 19*y + 1 wrt j.\nAnswer: 3120*j**3*y**3 + 6*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 3*m**4 - 4*m**2)*((-2*m + 2*m + 2*m)*(-2 + 4 - 1) + 2*m + 1 - 1) + (m**3 - 4*m**3 + 0*m**3)*(-2*m**2 - 10*m**2 + m**2).\nAnswer: 21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -334151*g - 332996?\nAnswer: -334151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c - 1 + 50*c**3 - 5*c**2 - 51*c**3 + 0*c + 3*c - c. What is l(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 42*w + 10. Let l(v) = -14*v - 3. Give -7*l(t) - 2*z(t).\nAnswer: 14*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -5. Let x = -3 - -4. Let y = x + z. What is the least common multiple of y and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2922, -11022, -24524, -43428?\n\"Answer: -2701*o**2 + 3*o - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -675*b**5 - 88380*b**4 - 425307*b**3 - 725598*b**2 - 504468*b - 122472 = 0.\nAnswer: -126, -9\/5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7)\/(120\/84).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*s + 6 = 252*s. Let j(u) = -u**2 + 7*u + 2. What is the smallest common multiple of s and j(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11434326691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 390.302199 milliseconds?\nAnswer: 0.0000006453409375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -9, 4, 29, 66?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-39 + -6 + 80).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/4 + 75*d\/2 - 151\/4 = 0.\nAnswer: -151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p = 18. Let h = p - 3. What is n in 0*n + 0 - 2\/3*n**h - 2\/3*n**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -258*h**2 + h**5 + 566*h**2 + 79*h**4 + 15*h**4 + 1324*h**2 - 800*h**3.\nAnswer: h**2*(h - 4)**2*(h + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 34 + 3 - 94*z**2 - 4 + 23 + 81*z**2.\nAnswer: -13*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 2*i**3 - 2*i**3 + (-2*i + 39*i - 19*i)*(-i**2 - 2*i**2 - i**2) + (3 + 1 - 2)*(-2*i**3 - 3*i + 3*i) as x + l*i + r*i**2 + y*i**3 and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5914472203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25241 by 4.\nAnswer: 25241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 60a (base 12) in base 6?\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28044 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/15 + 24*c**2\/5 + 216*c\/5 = 0. Calculate c.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 11*q + 8. Let j be y(-5). Suppose -42 + 9 = -j*k. Suppose 2*h - 4*d = -11 - k, 5*h + 7 = -2*d. What is the nearest to 1 in 1\/4, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 65.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 418 = -94. Suppose -25*d = -16*d - y. Suppose -n + 851 = -0*j + 4*j, 0 = 4*n + d. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.5. Let u = -2.5 + l. Let c = -50 - -45. Sort -1, u, c.\nAnswer: c, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*d = 4*v + 3949, 5*v - 19711 = 2*d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 17. Suppose 2*t + 100 = y*t. Let p be t\/4 + -3 - 2. Solve 3*g + 3 - 9 = p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.86 + -0.19. Let t = 0.05 + y. Is t greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 k, and 1 x when four letters picked without replacement from kgcgjjxcvkjcvgk.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 38*m**3 - 246*m**2 - 602*m - 392.\nAnswer: -2*(m + 1)*(m + 4)*(m + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 8*j - 4, 5*l - 38 = 83*j - 74*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.594 in 2\/5, -14, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/15 + 138*s**4\/5 - 61652*s**3\/15 + 88816*s**2\/15 + 61640384*s\/5 - 994942208\/3 = 0. What is s?\nAnswer: -305, -58, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:07 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133877576 and 424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3896*b = 3791*b - 1680 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + j. Let k(t) = -14*t**3 + 3*t + 1. Suppose 177 = -13*p + 138. Calculate p*r(v) + k(v).\nAnswer: -17*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 4731?\nAnswer: 33117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 2 (c) -146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 + -64. Calculate the remainder when 67 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 6 = c - 6*s, -c - 2 = s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 1 j when three letters picked without replacement from {f: 6, u: 3, c: 4, j: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(396) + 1 + sqrt(396) + sqrt(396))**2 + -4.\nAnswer: -7164 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -2. Sort 3, k, -5 in descending order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = n + 251. Let z = -68 - n. List the prime factors of z.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1262)\/(-12) - (-8)\/(-48). Suppose 2*b + o - 89 = 0. Calculate the common denominator of -43\/9 and 1\/b + (-229)\/24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 34\/10 + -4 - (-126)\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -30, 203.\nAnswer: -30, -12, 1, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6 - 44. Suppose -q*b = -55*b + 10. Suppose 5*d - 4*i = 51, -5*d - 4*i + 31 = -3*i. Put d, b, 5 in descending order.\nAnswer: d, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.61 + 5.51. What is the fourth biggest value in h, -2, -0.2, 1, -0.58?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*l - l + 7, -8 = 2*w + 2*l. Let j be w\/(8\/20 - (-2)\/(-10)). Let i(g) = -g**2 - 4*g + 2. Calculate i(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42618.3 or -16?\nAnswer: 42618.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-123)\/(-414) + ((-222)\/36 - -6). Is -1 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbr when three letters picked without replacement from {m: 3, r: 4, b: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - -27. What is the highest common factor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:16 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u. Let r(q) = 4*q**3 + 2*q**2 - q. Let v be r(2). Let o = -36 + v. Let j(l) = -2 + 0 - 3*l**2 + o. Determine c(j(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1404\/11 or 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 28 = -2*h + 34, -h = -3*t - 3. Which is the third smallest value? (a) -104 (b) h (c) 0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29960 and 103998427.\nAnswer: 104028387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.7, -4, 200.7, -1, -0.5 in ascending order.\nAnswer: -5.7, -4, -1, -0.5, 200.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*p. Let b = 4 - 2. Solve -p*s + 4 + b = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 568659 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75456)\/180387*(-66)\/(-8) - (-10)\/85.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -5 + 1 - 4) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 17*v + 27. What is the fourth smallest value in -3, -1, v, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24664722*y**2 - 24752828*y wrt y.\nAnswer: 49329444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -15*s - 447. Let r be x(-30). Suppose k = 5*k + 4*y - 8, 0 = 5*y. What is the third derivative of 10*b + 2*b**r - 2*b**2 - 4*b**k - 10*b wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) 0.5 (b) -0.2 (c) 1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -20 - -5) + (-140 - -238).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*2*-1. Suppose 0 = -4*m + 11 + i. Suppose -4*h = 6*l - 2*l - 52, -m*h + 59 = 5*l. Calculate the greatest common factor of 25 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -2\/69 (b) 0.0287 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 22*z = -3*r - 105020, -z = -4*r - 26281. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 4\/57, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -1771, -4110, -7437, -11770, -17127, -23526, -30985?\nAnswer: -39522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 30. Let l be x(9). Suppose n = 6*n - l*s - 10, 0 = -5*s. Find the third derivative of 9*w**n + 7*w**5 - 15*w**5 - 13*w**5 + 8*w**2 wrt w.\nAnswer: -1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -43. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(4\/3)*d*d))\/(d*d**(16\/5)*d*d) assuming d is positive.\nAnswer: d**(-128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuuuunuuuuuuunuuuu. Give prob of picking 2 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + i - 4*i**3 + 5*i**3 - 3*i.\nAnswer: 2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q + 50*q = -3*h + 60, 4*q + 5*h = 88. What is the smallest common multiple of q and 13996?\nAnswer: 41988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6265*j**5 + 101*j**2 + 25*j wrt j.\nAnswer: 375900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-36))\/(((-1892)\/(-9675))\/44)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(170) + 1*(sqrt(170) + 1*sqrt(170)))\/((sqrt(160) + sqrt(10))*-6) + -3)*4 + 5.\nAnswer: -8 - 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 + 113 + (-1 - (5 - 8 - -72))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.8 - 6.8. Which is the closest to -2\/5? (a) u (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, 5, 2\/11 in increasing order.\nAnswer: -1, 2\/11, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1213.78142 - -0.08142. Let p = 1322 + a. What is p rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1496\/51)\/(-22))\/(-14)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**5\/60 - 3635*l**3\/6 - 6286*l**2. Let f(r) = r**2. What is f(o(i))?\nAnswer: i**4 - 7270*i**2 + 13213225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-16 - 22 - -20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/11 (b) 2\/13 (c) -40 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29216 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*p - 44 = 0, -3*p - 67423 = 4*i - 67458 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -236 (b) -6\/11 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021 minus 12.05?\nAnswer: -12.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*o**2 - 3\/2 + 7\/4*o = 0. What is o?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 2566*w - 2577*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 3*y, 830*y - 18 - 4 = 4*a + 828*y + 48 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.5. Let b = 0.4 + y. Suppose -d + 5 = 4*d. Which is bigger: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/45 + s**4\/18 + 13*s**2. Determine o so that t(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Let l = -946 + 1647. Let u = l + -701. Solve u = -i*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 49*z - 52*z = -23, -y - 5*z = -41. Suppose -4*c = -0*c. Suppose -3*x + c*x + 21 = 0. Sort x, -2, y in decreasing order.\nAnswer: x, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 79?\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20973, -84015, -189125, -336309, -525573, -756923?\nAnswer: -1030365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -724 divided by -362?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmzmfffffzzzmzum. Give prob of picking 1 z and 3 m.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 737987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211211203 (base 4) to base 10.\nAnswer: 153955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 82\/65759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5123052 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o + 2. Let f be ((-3 + 67)\/4)\/1. Suppose 0 = -2*k - 2*k + f. Let n(z) = 0 + z**2 + 2 + 2*z - z + 0*z. What is k*u(a) - 3*n(a)?\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 6\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 542253\/7 and 77464 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 - 157.99709. Round s to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, y: 2, u: 1, f: 1, v: 1, e: 1}. What is prob of sequence vkef?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n**5\/4 - 6280*n**4 - 567785*n**3\/4 - 602335*n**2\/2 - 84850*n = 0. Calculate n.\nAnswer: -20, -2, -1\/3, 0, 1697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*j**3 - 916*j**3 + 508*j**3.\nAnswer: 111*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 14*m - 84. What is the tens digit of q(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u**2 + 0*u + 0*u)*(1 - 2 - 2)*(-25 + 123 + 142).\nAnswer: 2160*u**2 + 720*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 10. Let b be m(-3). Let t be -3*(-4)\/(-60)*b. Let d = -94 - -1787\/19. Is d <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 q when four letters picked without replacement from xxxxqxqqqqqqqqqqxqq?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-5 + 3) - -3. Let d(k) be the first derivative of -k**2\/2 - 3*k - 1. Let a be d(-8). Solve a*o - i = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (730\/219)\/(5\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 2, -19627, 3, -10, -2\/25, -3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -23.4.\nAnswer: 30.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847831 is divided by 390.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-108)*(-16)\/(1 + 1). Is 140\/21*(-4)\/(u\/57) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 10*a**2 - 10*a + 6. Let n be j(9). Let h = n + 5. Solve h*t = -2*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18567, 37137, 55709, 74283?\nAnswer: 92859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-27)*w**5)\/(w**2*w*w\/w**(-25)*w*w))**(9\/2) assuming w is positive.\nAnswer: w**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 2236909?\nAnswer: -2236908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*s - 287 - 452, 2*w - 492 = 4*s. Let p = 734\/3 - w. Find the common denominator of p and (-2 + -2)*66\/(-56).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 107532.\nAnswer: 107533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-273)\/(-147) + (-2)\/(-14). Let s(t) = -3*t**2 - 2*t**y + 11*t**2 + 2*t**2. Let r(p) = 12*p. Determine s(r(u)).\nAnswer: 1152*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 35. Let u be l(-8). Let y be 0*(u + -3*2\/3). Let s be (-5)\/(-5) + 18\/(-10). Is y less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 197138626, 197138627, 197138626, 197138623, 197138618, 197138611, 197138602?\n\"Answer: -u**2 + 4*u + 197138623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0. Let t = -50 + 41. Let u = t - -6. What is the closest to 0.1 in -0.4, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 6*o + 2. Let d be w(-4). Suppose d = g + g. Suppose -g*z = -2*i + 13 - 6, 4*i - 3*z - 35 = 0. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192 - 195 + 38*m + 240*m)*(-5*m + 2*m + m).\nAnswer: -556*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnlnnlnnnlnnnnnnn. What is prob of sequence ll?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76 times 12.4342?\nAnswer: 21.884192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-22))\/((-1)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.28 + 16.28. Let q = -11 + z. What is the biggest value in 2\/9, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-27 - -9 - -4)) + 5 - (0 - -134).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5160.5 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + (19 - 16) + -5 + -3 + -1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9001040, 18002014, 27002984, 36003950, 45004912, 54005870, 63006824?\nAnswer: 72007774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + -10640534?\nAnswer: -10640600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2699.\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/10 - (-39)\/(-65). Let r be (1 + 0\/h)\/1. Let u(i) = 3*i + 0 - 7*i - r. Determine u(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 3*t - 8. Determine h(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 301679*o. Let g(t) = 2*t. Give g(h(w)).\nAnswer: 603358*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and -2206460.\nAnswer: -2206443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 14. Let q be j(11). Let o = 11.5 - 11.49. What is the closest to o in -0.3, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184549249?\nAnswer: 43, 4291843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -13*u + 21*u. Let r(p) = 24*p**2 - 14*p**2 + u - 3. Let k(l) = l**2. Calculate r(k(j)).\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/(9\/54)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*((i*i**(1\/2))\/i)\/i)**(2\/41)\/(i**(-2\/3)\/i)**19*((i**6*i)\/(i\/(i*(i**(-2\/3)*i)\/i)))\/(((i*i*(i\/(i\/i**1))\/i)\/i)\/i)**(-3\/2) assuming i is positive.\nAnswer: i**(1561\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyoyyyyyyooyoyo. What is prob of sequence oo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h = -939 + 237 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3009 + 3009.1. Sort b, 4\/7, 4\/9, -0.2.\nAnswer: -0.2, b, 4\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-5) - (-18)\/(-90). Let h(v) = -94*v**3 + 3*v + 7. What is the hundreds digit of h(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - a5?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.18 - -10.82. Let u = -12 - x. Is -3 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.047*3\nAnswer: 0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20020405 - -14?\nAnswer: 20020423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 9*t = 10. Solve n - t*n = -12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/9067 - 462747\/498685. Find the common denominator of 3\/5 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19172.991 seconds to minutes.\nAnswer: 319.54985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/4*(-5)\/35?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (897\/(-138) - (-10)\/(-4))*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 - 19*b**2 + 86*b - 13. Is y(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(3\/7)\/x))\/x)\/(x*x**10))\/((x\/(x\/(x**(-2\/21)\/x)))\/x)**(-28) assuming x is positive.\nAnswer: x**(-1451\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**5 + 39*u**4 - 279*u**3 - 301*u**2 - 77?\nAnswer: -120*u**2 + 936*u - 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 78\/(-10)*(-250)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39065227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 3, g: 1, w: 1, z: 1}. Give prob of sequence fzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 65862*b**2 - 197607*b - 131742.\nAnswer: 3*(b - 21957)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2*i**3\/3 + 10*i**2 + 50*i + 7254. Let s(p) = 0. What is p?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 + -11 - 5) + -19\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5301 is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 82\/(-170) - (-320)\/2720. Which is the second biggest value? (a) -7 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96947416?\nAnswer: 2, 31, 431, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - 2. Let m be ((-6)\/5)\/(v\/(-5)). Solve -m*o + 18 = -4*s, 3*s - 4*s - 2*o = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29*25\/(-5)*(24\/40 + -1). What is the greatest common factor of 9483 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -3\/4, 0, 43, -0.3, 10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4684*w + 9. Let h be x(9). Suppose 9*k = 4*k + h. Let d = k + -4233. Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4130\/598911 or 1?\nAnswer: 4130\/598911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3\/5 - 36*k**2\/5 + 88*k\/5 = 0. Calculate k.\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1108853.34 hours to weeks.\nAnswer: 6600.3175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 9 = -4*i. Let p be (6\/5)\/((-2)\/(-180)). Suppose 0*h + p = i*h. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 - 7*b**3 + 7*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*w - 32, 103*w - i + 10 = 102*w. Let r = 2 - 1. Which is the biggest value? (a) r (b) 28 (c) w (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 11 = 2*k. Let h(n) be the second derivative of 1\/147*n**7 + 0*n**3 + 1\/70*n**5 + 0*n**4 + 0 + 2\/105*n**6 - k*n + 0*n**2. Factor h(q).\nAnswer: 2*q**3*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 29*s - 53. What is q(30)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4907223 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137498, -137595, -137722, -137879?\nAnswer: -138066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.12, -149917, 0.6.\nAnswer: -149917, -0.12, 1\/3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*y - 4*f, -4*f + 10 = f. Let q(t) = -3*t + 3*t**3 + 6*t - 3 - 8*t - 2*t**y + 5*t**2. Let u(b) = -7*b + 1. Let l be u(1). Calculate q(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 15*z + 7. Let d = -580 - -170. Let p = -424 - d. What is g(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 14*m**2 - 21*m + 40. Let a(w) = -16*w**2 + 20*w - 41. Let u(t) = -3*a(t) - 2*n(t). What are the prime factors of u(7)?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 103 + 617. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or -2\/369?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 19. Let v(o) = -3*o - 24. Let c(q) = -5*j(q) - 6*v(q). Let m(z) = 4*z - 38. Determine m(c(d)).\nAnswer: -8*d + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/4 - 4*f**3\/3 + 2*f**2 - 2*f - 26. What is p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 7, -17\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1750, -2789, -3780, -4723?\nAnswer: -5618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-10 - -8) + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 528 and 288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + 0 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 112, 129, 158, 205, 276, 377?\n\"Answer: u**3 + 10*u + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18564 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - -5) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/9 (b) 0.2 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/101389 and 68\/24155451.\nAnswer: 1280238903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24873975 divided by 110551?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 2, i: 7}. What is prob of sequence wi?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**4\/4 + 17*l**3\/3 + l**2 + 5*l - 13. Let v be b(17). Calculate the highest common divisor of v and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 747201 and 8211?\nAnswer: 747201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/9 - ((-610)\/90 + 7). What is the closest to k in 0, 1\/6, 0.3, 2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(22)\/sqrt(2)) + sqrt(28)\/(sqrt(4) + sqrt(16)\/sqrt(4)) + -5)**2 + (sqrt(77)\/(sqrt(66)\/sqrt(6)) - sqrt(42)\/sqrt(150)) + -5.\nAnswer: -71*sqrt(7)\/5 + 143\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 959, 961, 963, 965, 967, 969?\n\"Answer: 2*n + 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54041193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13571099?\nAnswer: 3049, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/3 + 10*b\/3 + 8\/3 = 0. What is b?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2626, 2619, 2612, 2605?\n\"Answer: -7*l + 2633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249167\/5 - -49835. Solve 1\/5*j**5 - u*j - 9\/5*j**2 + 0 + 7\/5*j**3 + 9\/5*j**4 = 0 for j.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 15 = -4*j, 129*n = 126*n + 13*j + 48 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-261)\/(-58))\/9\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 90*l - 12. Let m(y) = 45*y - 7. Determine 4*d(a) - 7*m(a).\nAnswer: 45*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 124*n\/5 + 462.\nAnswer: -2*(n - 15)*(n + 77)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (90\/(-21))\/(2\/(-28)). Suppose 0*n + 3*n = -j. Let i = 23 + n. Sort -2\/7, 0.3, i in ascending order.\nAnswer: -2\/7, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223934*n**2*o**3 - 69*n*o**2 - 3*n*o - 2*o**3 wrt n.\nAnswer: -447868*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/9 + 3395\/7875)\/((-2)\/(-5)). Let n = -3.7 + -0.3. Which is the smallest value? (a) n (b) -1 (c) -7 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b - 2. Suppose -3*r - 146 = -u + 33, -r - 5 = 0. Suppose 3*v - u = 1. Calculate the remainder when v is divided by q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592880 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22374978.\nAnswer: 2, 3, 797, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 l, and 1 t when three letters picked without replacement from lhvhlllhtvvlltqqtl?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 12*f**2 - 19*f + 135. Calculate g(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -8*f + 4*f. Let g be f\/5 - 4\/10. Let c be 1\/(0 + 1\/(-1)). Are g and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 313 and 1715.\nAnswer: 536795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 10*m + 2. Let b(i) = -i. Calculate -6*b(v) - k(v).\nAnswer: v**2 - 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than -602052693?\nAnswer: -602052692.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162 divided by 14?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 5)*(2*p - 15*p + p) in the form b + n*p and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -23*g - 862. Calculate b(-39).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 at most as big as -20350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 1, o: 2}. What is prob of sequence oeo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -264 + 265. Let q be 63\/(-504) + i\/8. Solve 14 = -5*d - o, -o - 8 = -q*d + 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010200 - -1111?\nAnswer: -2002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 383 in -1\/9, 10\/511, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjngjnnjnn. Give prob of picking 1 j and 1 n.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*60745.\nAnswer: -115415.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 237, -3, -2\/9, 2, -58 in ascending order.\nAnswer: -58, -3, -2\/9, 0.2, 2, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11457516, -22915026, -34372536, -45830046, -57287556?\nAnswer: -68745066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 32 - 8)*(-4 - 2*j + 4).\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtwvv. What is prob of picking 1 t, 1 v, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 337*j - 419*j + 410. Solve -15 = -3*n + 3*m + 6, j*n + 5 = -5*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4 - 10*j**3\/3 + 2*j**2 + 10*j + 1234. Factor b(t).\nAnswer: -2*(t - 1)*(t + 1)*(2*t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -42, 4\/3, 0.88, 3?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*c + 280*c + 20 = 2*z, -c = -z. Solve 0 = -94*w + 93*w + 3*q - 5, 3*w = c*q - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**2 + 2 + 0*f - 1\/3*f**3. Factor x(i).\nAnswer: -i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2 + 8580*k + 747656 = 0?\nAnswer: -2054, -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0058 at most -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 226601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1374397056 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 162025, 162537, 163049, 163561?\n\"Answer: 512*f + 161513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + -245?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.0194.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76, 59, 28, -23, -100, -209, -356?\n\"Answer: -u**3 - u**2 - 7*u + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*u = -1968, -118*y + 122*y - 3941 = 3*u. Calculate the highest common divisor of y and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/25 and (-1 - 259\/56)*(-7)\/(-10).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1724997 is divided by 2140?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - 11*w**2 - w**2 + 31*w**3.\nAnswer: 26*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49465, 98930, 148395, 197860, 247325?\nAnswer: 296790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*c + 101 = 0, 119 = 4*s - 2*c + c. Calculate the remainder when 57 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*-15\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 35 (b) 65.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 1. Let k = 52 + -50. Let m(d) = 0 + k*d + 2 - 2. Determine m(w(o)).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 24*w**2 + 136*w - 135. What is x(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g + 5 = 0. Let c = 9 - g. Let w be ((-250)\/c)\/((-2)\/(-144)). What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + -2 - (32 + -95 + 55)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 97583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/35433 - -1405595\/3047238. Calculate the common denominator of c and (558\/8)\/((-49)\/70*15).\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - -0.56. Suppose 5*a - 7 = -37. Let v = a + 23\/4. What is the nearest to 0.3 in v, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/4 + a**3 + 5*a**2\/2 - 4*a - 128. Calculate q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffuuhf. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 - 34*d**2\/11.\nAnswer: 2*d**2*(d - 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + c = 47, 52 = -33*k + 32*k + 2*c. Suppose 4*m = 4*v + 2*m - 16, 3*m + 15 = 3*v. Sort k, 4, v.\nAnswer: k, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - -60214537?\nAnswer: 60214512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -577.9+1.95\nAnswer: -575.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*x**3 + 1836*x**2 + 1845*x\/2 + 231\/2.\nAnswer: -3*(x - 77)*(4*x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 41 - 33 = -4*x, -3*x = 5*d + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 2 - 39*q**3 - 2.\nAnswer: -39*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t - 2*t)*(2 + 2 - 2).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56 - -64) + (-1464)\/(-2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:00 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1908508 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/24031 or 0?\nAnswer: 2\/24031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -65024 (base 7) in base 11?\nAnswer: -11142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 1. Determine u(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*v**3 - 94 - 9*v**3 + 94.\nAnswer: 348*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 1206.\nAnswer: 108.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, h: 3, u: 6, f: 3, x: 4}. What is prob of picking 1 u, 2 x, and 1 k?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29679, -40669, -51659?\nAnswer: -62649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 120 = -14741*b + 14745*b, -4*h = -2*b + 54 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + 0) - (4 + 1 + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4 + 4 + 2*w - 3 + 3 + 5*w - 6*w + 3*w - w + 0*w + 2*w - 3*w + w + w + (-3*w + 0*w + w)*(-4 + 5 + 0) + 2*w + 0*w - 3*w)*(0*w - 2173 + 5*w + 2171).\nAnswer: 25*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 1\/((-33)\/36 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*y - 865 = 1060 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 4. Let w(a) be the first derivative of -3\/2*a**2 - 2 + 11*a. What is -11*p(d) + 4*w(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10493, 11082, 11673, 12266, 12861, 13458, 14057?\n\"Answer: j**2 + 586*j + 9906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:02 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -4. Let v be 2*2\/(-10)*-5. Suppose -q + 4*y = 14, 0 = -2*q + v*y + y - 8. Which is the nearest to g? (a) q (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 15*t - 8*t. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 2*y - 36 + 29 + 1 + 1. Let r(z) = z - 4. Calculate -2*q(a) + 3*r(a).\nAnswer: 2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - p**2 + 25*p - 2. Let d(k) = -8*k + 1. Let m(o) = 7*d(o) + 2*z(o). Let h be m(2). Which is the nearest to 2\/5? (a) 1\/7 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/17, -0.4, 1\/7, -1.3, -89?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10618069*-0.3.\nAnswer: 3185420.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**3 + 596*u*y**3 + 732*y**3 wrt u.\nAnswer: 3*u**2 + 596*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - g + 2*g)*(3 - 3 - g)*(-14 + 14 - 4*g) to the form o + y*g + s*g**2 + c*g**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105269?\nAnswer: 105269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3221926 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25253701?\nAnswer: 11, 23, 99817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*d + 3*j, 2*j - 5 - 3 = 0. Sort -6, d, 3 in increasing order.\nAnswer: -6, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 6*c**2 - c + 27. Let r(t) = -3*t**3 - 18*t**2 - 4*t + 80. Let l(f) = 7*m(f) - 2*r(f). What is the remainder when l(-6) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/25 or 108740?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190.1 + 3.1. Is c smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from qykoekg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 t when three letters picked without replacement from pmtpptbptt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1566 and 432?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17625 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/14 + (-68)\/8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 42. Let q be (162\/(-12))\/(6\/(-8)). What are the prime factors of z(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -300000*l**3 + 5*l**2 + 10533?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1304191*f + 13245. Let t(a) = -886*a - 9. Let w(u) = 3*s(u) + 4415*t(u). Let k(x) = -3*x. Calculate k(w(c)).\nAnswer: -2649*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 1, 4 in increasing order.\nAnswer: -13, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 3326*z - 50591. Give t(-15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -16*o**2 + 36*o**2 - 16*o**2 - 1 + 6*o. List the prime factors of j(-5).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, -6\/11, -6.5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7381.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0*w + 3\/560*w**7 - 43\/80*w**5 + 1\/10*w**6 - 13\/16*w**3 - 85*w**2 - 2 + w**4. Suppose i(z) = 0. Calculate z.\nAnswer: -13, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 710 and 9.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = -30*u - 26*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (7 - (-138)\/(-15)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0529989 + 3424.9750011. Let a = w + -3437. Let m = -12 - a. Round m to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15*q**2 - 15. Let a(g) = -1. Give -15*a(x) + p(x).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*p - 10*p - 66*p + 2622 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, -7\/5, 2, -36, -7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*r, 8 = -3*r + x - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**4\/2 - 4*v**3\/3 - 4*v - 2. Let n(u) = -32*u + 1661. Let b be n(52). Let r(q) = -2*q**3 + 3*q**2 + 3. Give b*r(c) - 2*a(c).\nAnswer: 2*c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 380*f - 9910. Give v(26).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuvuqcuu. What is prob of picking 1 u and 2 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(-5\/12))**(-3\/31) assuming t is positive.\nAnswer: t**(5\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**5\/5 + 747*g**4\/5 - 33*g**3\/5 - 8271*g**2\/5 - 2694*g - 5976\/5 = 0.\nAnswer: -249, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 less than -64148?\nAnswer: -64146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -7 - 0. Suppose 5*i = r*i - 46. What is the remainder when 44 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 629470.\nAnswer: 3776820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 5*r + 280. Let a be i(19). Solve -a*m = 4*n - 11*m - 4, 3*n - m = -10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -94 + 95 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klkjhukkk. What is prob of sequence ul?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 3*l**3 + l**3 - 21*l**2.\nAnswer: -2*l**3 - 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b + 15*b - 139*b**2 - 93*b + 187*b**2.\nAnswer: 48*b**2 - 133*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 34*h**3 + 6222*h**2 - 2*h - 404. Determine m(-183).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.405 to one dp.\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**4 + 4*n**3 - 4*n**2 + 4*n + 6. Let d(c) = -c**3 + c**2 - c - 1. Let w = -8 - -4. Let a(y) = w*d(y) - t(y). Differentiate a(o) wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h**2*o**2 + 37015250*h**2*o - 7*h*o**2 - 116689*o**2 wrt o.\nAnswer: -34*h**2 - 14*h - 233378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**3 - 147*z**2 - 912*z - 1260 = 0.\nAnswer: -42, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a factor of 160971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.3. Let z be 3\/7*(-2)\/3. Let w = -0.4 - -1.4. What is the nearest to h in w, z, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6*g**2 - 66768*f**4*g**3 - 6*f**2*g - 11*f**2 + 74*f*g**3 wrt f.\nAnswer: 240*f**3*g**2 - 1602432*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1998, -4463, -7842, -12591, -19166?\nAnswer: -28023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 8915*u + 177485. Determine p(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 846673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from wsssvrggsgss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o - 75 = 0. Let k = 516 - 514. Factor -3 - 14*i**3 - 3*i - 3 + o*i**3 + 2*i + 6*i**k.\nAnswer: (i - 1)*(i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1122 - 440*o**2 + 1122)*(-1 - o**2 + 1).\nAnswer: 440*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 13640956\nAnswer: 5\/13640956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/648*-100*(-3)\/(-5)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 2 - -10 - 17) + -10 + 0 - -44\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - 2 - (-14 - -16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -37, -105, -257, -535, -981, -1637, -2545?\nAnswer: -3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.21806 + -0.21806. Which is the nearest to 2\/3? (a) -0.342 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4127811 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 5, n: 2}. Give prob of sequence uu.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80237, 152285, 224345, 296423, 368525?\nAnswer: 440657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 153 or 39?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 - 178 = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3\/(-15) - (-16)\/(272\/(-15)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + -4 + 4 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-696)\/(-522)*((-159867)\/(-1860) + (-3)\/(-10)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-1)\/((-3)\/22). Find the second derivative of -n*t**2 - 23*t**2 + 22*t - 18*t + 1 wrt t.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 144735262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.63231 and -4113.\nAnswer: -19052.69103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10241520 (base 6) to base 15\nAnswer: -5e320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4404 - -516. Calculate the lowest common multiple of 12 and (2\/4)\/((-8)\/v).\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*j - 7 + 226*j + 272*j.\nAnswer: -70*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -0*v - 728. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 130912780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j - j + 5*j - 5*j as g + f*j and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvssiissnyss. What is prob of picking 1 s and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3955 - -22440. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5617 + -5620. Let t(z) = -16*z - 5. Let j(v) = -33*v - 9. What is x*j(l) + 5*t(l)?\nAnswer: 19*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*x + 210*x - 4851 = -119*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/3*24*(-714)\/1224*-3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 708 and 86612?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 - 7*a**3 - 6*a**2.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 - 2345*i + 4710 = 0. Calculate i.\nAnswer: -471, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-58)\/609*(-10)\/8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.199 + 1.801. Sort -0.03, 0.2, o, 0.4 in ascending order.\nAnswer: -0.03, 0.2, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 321187946 - 21.\nAnswer: 321187925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -3.9. Let r = u + 4. Let s = -10 + 6. Which is the nearest to -4? (a) r (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11644.\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgwwgwllglg. What is prob of sequence glw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52863 at most as big as -380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -857 + 7. Is 15 a factor of (-18)\/(-4)*r\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**6*w)\/(w\/((w**(-9)\/w)\/w)))**(-25))**33 assuming w is positive.\nAnswer: w**12375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 607 - -66. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - p = 0, 3*n + n - 2*p + 8 = 0. Let r = 28 - n. Suppose -2*j + 4*a - 3*a = -8, 4*j + 2*a = r. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 24*m**2. Let z(f) = -60*f**2. Calculate n(z(q)).\nAnswer: 86400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5209849 is divided by 5209835.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmjgmxgwgmmmwcmjg. What is prob of picking 1 x and 1 c?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -24*w**2 - 13*w - 501. Let q(m) = 5*m**2 + 3*m + 125. Calculate -9*q(s) - 2*y(s).\nAnswer: 3*s**2 - s - 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27.584316 milliseconds?\nAnswer: 0.0004597386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*f = z, 2*f = 4*z. Let y(c) = 3*c + 3. Let h(d) = 7*d + 6. Let p(j) = -4*h(j) + 9*y(j). Let w be p(z). Solve -w*m = -2*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, y: 4, g: 1, w: 1, a: 9}. Give prob of sequence maw.\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1608264066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = 0. Suppose r = -6*m + 2*m + 8. Suppose 0 = -2*u - m, 0 = -2*c - 2*u + 7*u + 11. Solve 4*w + c*f = f + 4, -f + 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-65) - -3*4\/260.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(34)\/sqrt(2))*1*1 - (((sqrt(17) + 1)*1)**2 - (sqrt(17) + 1)*-6).\nAnswer: -8*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3 - 1)*6\/44\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1872)\/(-3) + -1)\/1. Suppose 0 = 4*j + 223 - q. Let f be 24 - 5\/(15\/12). What is the highest common divisor of j and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + y - 1. Let k(i) = 2*i**2 - 4*i + 5. Let b(j) = k(j) + 5*m(j). What is the second derivative of b(z) wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -11 + 3 + -3 - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7327 rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:01 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3836462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -103\/8526?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 208*b**2 - 2643*b. Calculate k(12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*-2*sqrt(119))\/sqrt(7))**2 + sqrt(1088)*-2 + sqrt(17)*-2 + 0.\nAnswer: -18*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.76 - -0.02.\nAnswer: 55.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {a: 2, j: 2, s: 11}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -16, -6, 0, 2?\n\"Answer: -2*a**2 + 20*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350244434 to the nearest integer?\nAnswer: 18715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079141471 rounded to 5 dps?\nAnswer: 0.07914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -806, -6399, -21570, -51107, -99798, -172431, -273794?\n\"Answer: -798*c**3 - c**2 - 4*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 674 + -476. Let z be (y\/30 - 6)*1*5. Which is the biggest value? (a) z (b) 3\/2 (c) 0.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110100021111 - -2?\nAnswer: 1110100021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (84 - 51) + 18 - 62?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by 7.\nAnswer: 286\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2108 = -254*b + 135*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*p**3 - 62*p**3 + 5*p**3 + 6*p**3 + 4*p**2 - 18 - 4*p + 14 to j*p**2 + i*p + w + h*p**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*l + 86, 0 = -d + 3*d - 4. Calculate the remainder when 75 is divided by l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let k be 1*-3*(-1 - 0). Suppose 0 = -k*q - 5*w + 3, 3*q + 3*w + w = 3. Let z(f) = -2 + 1 + q - f**2. Calculate i(z(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from hffddhdhddhfd?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25426*d**4 - 92*d**3 - 10753025.\nAnswer: 101704*d**3 - 276*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31470128.\nAnswer: 2, 17, 37, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 57\/1411 (b) 0.12 (c) 2\/9 (d) 0.2 (e) 0 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.048 (b) -0.3 (c) -6 (d) 1\/89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + sqrt(104)\/(sqrt(64)\/(-2*sqrt(8)))) + 4.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (-9 + 8 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.012, 4, -5, -233, -1\/24, 1.\nAnswer: -233, -5, -1\/24, 0.012, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 390*h**2*j**3 - h**2*j + 3106331*h**2 - 5*h*j**3 - 2*h + 50*j**3 - j**2 wrt j.\nAnswer: 2340*h**2 - 30*h + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*l - 12*l - 232 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51b8 - 1235?\nAnswer: 3d83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 + 20543022*f + 105503938223121 = 0. Calculate f.\nAnswer: -10271511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -17773155 equal to -17773155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -218*j + 14. Let r(u) = 22*u. Let o(s) = 2*q(s) + 20*r(s). Give o(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207 + 99. Let n = j - 2138\/7. Factor 0 - 2\/7*x**2 - n*x.\nAnswer: -2*x*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**7\/10080 + u**6\/2880 - u**4\/12 + 2*u**2. Let r(v) be the second derivative of n(v). What is g in r(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14281454.\nAnswer: 2, 11, 649157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25\/(4000\/(-270)))\/((-15)\/8))\/(2\/(-5)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + (6 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12475681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.1. Put -0.29, n, -0.1 in descending order.\nAnswer: n, -0.1, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/117012 and -95\/742.\nAnswer: 6201636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -2, 13664 in decreasing order.\nAnswer: 13664, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29645 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 + 2*t + 2*t - 2*t - 2*t - 1 + 1 - 19 - 9*t + 19 - t + 2*t + 0*t + (5*t - 2*t - 2*t)*(5 - 4 + 0) + 3*t - 6*t + 2*t.\nAnswer: -8*t + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 - -1.315. Let n = y - -6.205. Let u = -8.2 + n. Round u to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*g + 52, -g - 21 = -5*f + 30. Suppose 5*x + 10 = 5*u, 3*x + 7 = u + f. Let a(p) = 2*p - 11. Let n be a(7). Solve -2 = -n*z - u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1180*g**4 - 7770*g + 3888*g + 3885*g + 343*g**2 wrt g?\nAnswer: -28320*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54369*h**4 + 2105*h.\nAnswer: -652428*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.2 (c) 0 (d) -0.3 (e) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:19 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 2*(sqrt(91) - (sqrt(91) - (sqrt(91) + -1*sqrt(91) + sqrt(91) + sqrt(91) - sqrt(91)) - sqrt(91))))\/(sqrt(847)*-2 + sqrt(847)).\nAnswer: -5*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 49*v - 2. Let p be j(5). Suppose -5*h + 535 = -2*m, 5*m - p = -2*h - 0*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 0 - 2 - (-25 + 2). Solve -t + j = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.596777 tonnes?\nAnswer: 596777000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 34*z**2 + 2*z + 1. Let b be d(-1). Suppose 0 = 5*v - b - 22. Suppose 0 = 3*f - 2*f - v. What is the greatest common divisor of f and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/255)\/(366\/(-122)*1\/5)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = 7*g - 764 + 358. Let t(r) = 22*r**3 - 2*r**2 - 2*r - 2. Let f(c) = 1320*c**3 - 121*c**2 - 121*c - 121. What is g*t(s) - 2*f(s)?\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnrn when four letters picked without replacement from ngnnrdgrdgnnjgnjn.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3134572, -6269147, -9403722, -12538297, -15672872?\n\"Answer: -3134575*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 16*u**2 + 32*u + 49. Determine d(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -126 in 0.5, -0.17, 4, -1\/8, 1?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.9 - -41. Suppose w - 5 + 3 = 0. Which is the fourth biggest value? (a) 3 (b) -2\/9 (c) h (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -60 - 2. Let v(d) = -20*d**3. Let b be v(1). Let a = r + b. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1830.609284 rounded to 2 decimal places?\nAnswer: -1830.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g. Let m(f) = f + 1. Suppose -8*t + 7 = 15. What is t*m(y) + x(y)?\nAnswer: 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1796*w**3 - 4*w - 3622*w**3 + 5*w + 1822*w**3 - w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.012 - 3.012. Let w = 115\/3 - 38. Let g = -0.95 + 0.75. Which is the second biggest value? (a) g (b) w (c) x (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*x = 18, -x + 4 = 4*q - 2*x. Let c be ((-1 + 4)\/(-1))\/((-3)\/4). Solve 0*v = -2*j - q*v - 4, c*j - 5*v - 28 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -30*w. Let v be q(-2). Let k = -22 + -11. Let y = k + v. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5046569 is divided by 2523261?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 3, h: 5, v: 5, e: 5}. Give prob of sequence ek.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35876 rounded to two decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. Suppose 0 = 3*f - 16 + 1. Suppose 5*y = -p*k + 3, -k + f*k + y + 9 = 0. Let s(i) = -3*i - 3. Determine s(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -287 - -276 - (1 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**3 + 11*o**3 + 0*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**2*l*o**2 + 128*f**2 + 6851*f*l*o**2 + 49*f*o**2 - f - 3*o**2 with respect to l.\nAnswer: -6*f**2*o**2 + 6851*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5486*w**3 - 15*w**2 + 5*w + 4. Let v(i) = i**2 - 11*i - 1. Let u be v(10). Let h be d(u). What is h rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2153543 divided by 18097?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1496.2 to the nearest 10.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53 - 65 + 533)*(j**3 - j**2 + 1 - 1) to l*j + r*j**3 + b + g*j**2 and give g.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) 0.5 (c) -3\/2 (d) -1 (e) 109875\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*n - 4*f, 2*n + 0*f + 3*f = 16. Let g = n - 6. Which is the smallest value? (a) -3 (b) 3\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u)\/(u*u**(2\/21)))\/(((u\/(u*u\/(u**(-3)*u)))\/u)\/u**(-2))*u*u**(-1)*u\/u**(3\/4)*((u**7\/u*u*u*u)\/u)\/(u\/(u**(3\/7)\/u)) assuming u is positive.\nAnswer: u**(115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - q. Let w(n) = 59*n**2 + 4*n - 2. Calculate -6*t(c) - w(c).\nAnswer: -47*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57371160?\nAnswer: 2, 3, 5, 7, 11, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 17*r - 42. Let s be x(-14). Let g be 5 - ((11 - 8) + s). What is the highest common divisor of g and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 26108*j. Let d(g) = -2635*g. Determine d(k(r)).\nAnswer: -68794580*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -12 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24382556, 48765108, 73147658, 97530206, 121912752?\n\"Answer: -t**2 + 24382555*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13300124 (base 6) in base 10?\nAnswer: 443284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.8 - 1.8. What is the biggest value in 4, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 16*p + 149. What is v(-15)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f + 52. Let b be r(-13). Suppose -14 = -b*s + 25. Solve -s*o + 4*q = -23, 21 = -2*o - 2*o - 5*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207460 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z + 2*z)*(30 + 13 - 1 + 73).\nAnswer: 460*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.17, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1251, -1172, -1101, -1044, -1007, -996, -1017?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/14616 and -65\/12006?\nAnswer: 336168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*h + 10, -3*h + 0 = 4*i + 5. Let v = 48\/19 + -211\/76. Let z = -24 + 26. Sort z, h, v in descending order.\nAnswer: h, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5124222123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232155 (base 7) to base 16.\nAnswer: -a278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - 0.03. Which is the nearest to -1? (a) d (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66417 < 71745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-1 - sqrt(144))\/((sqrt(252)\/sqrt(7) + sqrt(36))\/sqrt(3)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1800544\nAnswer: 1\/450136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -54, -77, -84, -69, -26, 51, 168?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*r + 1022 = -1706. Put 1, -3\/5, -0.4, r in decreasing order.\nAnswer: r, 1, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, y: 2}. Give prob of picking 3 s.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15873208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22236, -88956, -200162, -355860, -556056, -800756, -1089966, -1423692?\n\"Answer: -j**3 - 22237*j**2 - 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p - 2. Let v(j) = -6*j + 1. Let o(n) = -8*v(n) - 5*x(n). Let q be (2 - -1)\/(-3 - -2). Give o(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/30 - q**4\/15 + 557*q**2. Factor m(z).\nAnswer: 2*z*(5*z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/((-3)\/1)*2. Are v and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4 - a**3*x**2 + 2*a**3 + 4*a**2*x - a*x**2 + 4*a*x wrt a.\nAnswer: 48*a - 6*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**3*r*t**3 - 2*o**3*r + o**3*t - 3*o**2*r*t - o**2*t + 173*o*r*t**2 + 258*r - t**3 wrt t?\nAnswer: 24*o**3*r*t + 346*o*r - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 2\/13 (c) 0.3 (d) -0.5 (e) 5 (f) 10\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p + 25 = 0. Let m(k) = -1 + p + 0 - 3. Let s(v) = v + 6. What is 6*m(w) - s(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 580191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -8.72 (c) -55 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + sqrt(170)\/(-2*sqrt(10))))**2.\nAnswer: -5*sqrt(17) + 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -6, 4, -697, 1, 5 in ascending order.\nAnswer: -697, -69, -6, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7232.581 millilitres to litres.\nAnswer: 7.232581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2))\/x)\/x**1)\/(x*x**(-5)*x*x*x**6) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306*i**4 + 1466*i**2?\nAnswer: -7344*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14638103 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-45)\/6))\/(48\/60)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -4 + 1*4. Let s = d + 0. Let j(g) = -g**2 - g + 2. What is j(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 44163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 4*c**2 - 4*c**2)*(-c**2 + c**2 - 2*c**3) + (-2*c**4 + 3*c**4 - 3*c**4)*(-68 + 68 + 283*c) + 0 + 0 - c**5.\nAnswer: -571*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 19*u**2 + 17*u - 18. Let y be r(-18). Suppose 5*n + 3*x - 61 = y, x = -5*n + 3*x + 76. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -20 + -16 + (34 - 34).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -20811000 to the nearest 100000.\nAnswer: -20800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717229936?\nAnswer: 2, 107326871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - -75 - 45 - (-9 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 58 = -71*x + 74*x, -3*x + 3*l + 18 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 2 + -1 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u + 151. Let d be t(-14). Let l(c) = -c**2 + 17*c - 54. Let o be l(d). Solve 5*z + o = -3*f, 0 = -5*f - 3 + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0063451051 to five decimal places.\nAnswer: -0.00635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2356385, -2356394, -2356409, -2356430?\nAnswer: -2356457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/9)\/(10\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -374719, -749440, -1124161?\n\"Answer: -374721*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/5 and (5 + 47\/(-10))\/((-6)\/86)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.089 - -0.389. Let h = -5 + 4.9. Let x = -0.4 + h. Put c, x, 5 in decreasing order.\nAnswer: 5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**2 + 4*o**2 - 5*o**2)*(-1 + o + 1) + 3*o**3 - 3*o**3 - o**3 + 23*o**3 - 3*o**3 + 17*o**3.\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*a + 51*a - 5417 + 7747 = -27217 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 369 + -167. Suppose -61 + c = 3*f. Suppose -f = -2*k + 3*h, h - 118 = -4*k - h. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + ((25 - 5) + -10 - 44).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 3*a**2 + 6 - 4*a + a**2 + 4*a + (3 - 2 + 0)*(3*a**2 - 5*a**2 + 3*a**2) - 9*a**2 + 8*a**2 + 3*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7125293011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 38. Suppose -5*q = -y*n - 47, -4*q + n + 52 = 3*n. Let k = q + 136. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 9*q - 14. Is (11 - 13)\/(q\/576) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 14. What is j(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**4*p**3 - 3*c**4 + 445*c*p - 711*p**3 - 4*p**2 - p wrt c.\nAnswer: 28*c**3*p**3 - 12*c**3 + 445*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99605 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00487 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 9*y + 10. Let m be o(-8). Is 8 a factor of m\/8 - (-95)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, y: 6, s: 4, h: 1, v: 2, t: 3}. Give prob of sequence yyyy.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 46, 65?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-774)\/(-99) + -8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392 + 396. Which is the nearest to -2? (a) 2 (b) 10 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, 5, 37?\n\"Answer: 32*d - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 7 + 3, -2*c = -3*k + 2. Suppose -c*i = 5*l - 32, l + l - 14 = -i. Suppose 2*d = i*d - 220. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 6, 2, -4, -12, -22?\n\"Answer: -w**2 + w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 10*k**2 + 9*k + 7. Let f be s(-8). Let b = f + 2125\/11. Factor -6\/11*t**4 + b + 4\/11*t**2 + 4\/11*t**3 - 6\/11*t + 2\/11*t**5.\nAnswer: 2*(t - 1)**4*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + 2.7. Let r = p + -1.9. Which is the second smallest value? (a) -5 (b) r (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 280. Suppose 0 = -5*l - 9*q + 11*q + 208, 3*l - 136 = 4*q. What is the greatest common divisor of u and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 16*k - 29 + (0 + 0 - k)*(-3 + 3 - 3) + (-5*k + 4*k + 2*k)*(-3 + 2 + 0) - 1 - k + 1 to o*k + p and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*(-8)\/20*-15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3351 - 26*p**3 + 6705 - 3354.\nAnswer: -26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3952656*b**6 + 2*b**2 + 66276?\nAnswer: 474318720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 1. Let r(k) = -6*k**2 - 4*k - 4. Let n = -953 + 949. Let z(x) = n*g(x) - r(x). Factor z(v).\nAnswer: -2*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.394 in 15.55, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8 + 0 = 3*f, -4 = f + q. Let o(l) = 2*l**2 - 2*l - 2. Let a be o(2). Let n(m) = -a*m + 4 + 0 - m**2 + 3 + m. What is n(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 + 1 + 32*y**2 - 33*y**2 + 3773*y**4 - 3774*y**4 - 107*y to the form v*y + a*y**2 + w*y**3 + d*y**4 + m and give v.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 10*x - 24 = 0. Let s be (2\/x)\/(10\/30). Let o be (s - (-2 - -1))\/(0 - -2). Solve o = 4*q + q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxmm when four letters picked without replacement from {m: 6, x: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76221 + -8?\nAnswer: 76217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5408635 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1) + -3 - -1. Let s be 35\/(-5) + 1 + h. Calculate the common denominator of (-218)\/(-9)*6\/s and 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 167 = 32. Is 11 a factor of (c\/36)\/((-1)\/44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -281, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 3, r: 2, o: 4, f: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 18*w**2 + 163 - 83 + 63*w**2 - 18*w**2.\nAnswer: 63*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = -20, 116 = -3*a + 4*p. Let f = a + 36. Sort f, -5, 3, -2 in descending order.\nAnswer: f, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 41. Suppose 4*m = 4*h - 4, -2*h - 2 = -3*m - 0. Suppose 0 = h*u + r*w - 96, u + 6*w = 2*w + 30. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -603\/407 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + 7)\/6 - 2*2. Suppose 0 = -5*y + 3*y + 3616. Let g be y\/(-4392) - 4\/(-9). Which is the second biggest value? (a) g (b) -5\/4 (c) x (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91871*s**2 + 3*s + 4787.\nAnswer: -183742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -47*y. Let o(z) be the second derivative of z**4\/6 + 1822*z. Give o(k(a)).\nAnswer: 4418*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -60\/1823353 and 41\/30948?\nAnswer: 21880236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36772 - -36771.99952663. What is i rounded to six decimal places?\nAnswer: -0.000473","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181*b**6 - 42*b**4 + 90515*b**2 wrt b.\nAnswer: -21720*b**3 - 1008*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -13. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 6150?\nAnswer: -6140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.036 + 0.596. Let n = j + -0.25. Round n to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105509 is divided by 35167.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18375 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4507676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-15) + (-21492)\/(-20) + -1. Let k = q - 701. List the prime factors of k.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 12:30 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-19))\/(30\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 511 = -o - 515, -i - 2*o = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (2 - (10 - 10))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 39, 0 in decreasing order.\nAnswer: 39, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*i**2 - 15*i**3 - i**4 - 12*i**3 + 28*i**3 in the form s*i**2 + y*i**4 + g + x*i + u*i**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 - 2)*(-t + t - 2*t**2) + (-9*t + 0*t - 7*t)*(-10*t - 16 + 16))*(-2 + 12*t + 4 - 4).\nAnswer: 1968*t**3 - 328*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*c**3 - 10*c + 2.\nAnswer: 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 1 (c) -0.7 (d) -2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, c: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1080 and 467072640.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*p**4 + 80052*p**3 + 34407*p**2 - 39252*p + 6540 = 0. Calculate p.\nAnswer: -1, 2\/7, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 33 = -17*x + 22*x, 4*x - 71*t + 184 - 7 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(0 + sqrt(162))*2 + 5 + 3)**2.\nAnswer: 6912*sqrt(2) + 62592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 8:29 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgn when three letters picked without replacement from gnanuglu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 5, -60, -1, -41, 3 in descending order.\nAnswer: 5, 3, -1, -41, -50, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**3\/3 + 7*s**2\/2 - 9*s + 1. Is v(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, -42, -4.2, -15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvtv when four letters picked without replacement from ttbbbovvtttto?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -693, 1, 2, 4, 0, -2 in decreasing order.\nAnswer: 4, 2, 1, 0, -2, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and ((-20)\/14)\/((690\/(-105))\/23).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -654*b**2 + 274*b.\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 364706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(1 + 2*q - 1)*(24 + 37 - 8).\nAnswer: 212*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/8 and -59\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/((((u**9\/u)\/u)\/u)\/u)*u)\/u)\/(u\/(u**(-8)*u))*u\/(u**(-3)*u)*u\/(u\/(u*u*u**(2\/17))*u))\/((u**(-1)\/u*u)**(-28)*u**4\/u**(1\/8)) assuming u is positive.\nAnswer: u**(-5271\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.79 - -0.79. Which is the nearest to -2\/11? (a) y (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-1)*(-57*(-12)\/456)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -111000010010100?\nAnswer: 111000010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0*c + 2 - 5*c - 1 - 5*c. Let x be f(1). Let p(h) = 2*h + 5. Let z(n) = 5*n + 11. Determine x*p(y) + 4*z(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -107881, -4\/7, -0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251 (base 7) to base 3.\nAnswer: -11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67806 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = -500. Let r = 219 + -52. Let j = q + r. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7024 (base 11) to base 8\nAnswer: -22177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*(-2)\/(-5)*-1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441889503?\nAnswer: 3, 11, 13390591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l**4 + 915*l**3 + 1160*l**2 + 380*l = 0. What is l?\nAnswer: -19, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57.86 and 24337.\nAnswer: 24279.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-12) - (-4 + 6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/50*6*7\/(-1260)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -12) + 21 + -23 - 19\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 29*r**2\/4 - 10*r + 1100.\nAnswer: (r - 20)**2*(r + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 5*r**2 - 5*r**2 + (1 - 1 + r)*(4*r + 4 - 4) + r**2 + 2*r**2 - 2*r**2)*(-37*r - 2 + 8*r - 5*r).\nAnswer: -136*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232 = -208*f + 222*f. What is the smallest common multiple of 22 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1285 - 2575\/2. What is the common denominator of (-3)\/6 + 724\/120 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 90 = 8*a. Does 26 divide (2 - a) + 85\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -53. Differentiate -10 + v - 2*z + 0*z + 16 with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4 - 8. Let d(g) = -g**3 + 3*g**2 + 5. Determine d(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/60 + v**4\/24 - v**3\/3 + 3*v. Let o(y) be the second derivative of d(y). What is the first derivative of o(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - ((sqrt(196) - -3*sqrt(196)) + sqrt(196))\/sqrt(4))\/((sqrt(1225) + sqrt(49))\/sqrt(7)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k**4 + 4*k + k**4)*(8*k - 12*k - 16*k).\nAnswer: 20*k**5 - 40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1)*b\/(b\/b**(2\/3)))\/(((b\/b**(-5\/4))\/b)\/b*b**(5\/3)\/b))**(-21) assuming b is positive.\nAnswer: b**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**7\/63 + q**5\/10 - q**4\/9 + 2*q + 2. Suppose v(i) = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let d(r) = -r. Let m(s) = -s**3 - 6*s**2 - 4*s + 9. Let v be m(-5). Let t(j) = v*q(j) + 2*d(j). Let w(c) = 3*c. Calculate w(t(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 110 * -243\nAnswer: -26730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let y(n) = 72793*n. Determine y(z(g)).\nAnswer: 145586*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhegsyxxxhxeshhxy. What is prob of picking 1 e and 1 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let n(y) = 6*y. Let k(s) = 11*g(s) + 2*n(s). Let z(r) = 2*r - 3*r + 0*r. What is z(k(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 7. Let d be k(-7). Let g be d\/2 + (-1)\/2. What are the prime factors of (-6)\/g + 30\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -99*h**2 - 1. Let q be p(-1). Let g be q\/(-3) - 8\/24. Let f = g - 115. What is f rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 - 1285623*d - 3856860 = 0 for d.\nAnswer: -1285620, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)\/n*n)\/n)\/(n*n*n\/(n*n\/n**(-2\/7))*n*n)*n**6\/((n**(2\/7)*n)\/n) assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5957 and 851.\nAnswer: 5957","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let y = -149 + 167. What is the second derivative of -y*s**4 + 3*s**4 - 63*s + 14*s**4 + 2*s**2 - s**2 wrt s?\nAnswer: -12*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 7*i + 174. Is (i\/8)\/(-3)*(31 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than -20901816022347?\nAnswer: -20901816022346.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**3 + 2*t**3 + 0*t**3)*(-4920*t + 970*t - 2173*t) as u*t**3 + o*t**4 + v*t**2 + w + i*t and give o.\nAnswer: -12246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*c**3*u**2 + 77*c**3 - 2*c**2*u**2 + 1 with respect to u.\nAnswer: 82*c**3*u - 4*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5184848 and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f - 14. Let r(n) = 32*n - 48. Let t(v) = 24*c(v) - 7*r(v). Let u(h) = 40*h. Calculate t(u(z)).\nAnswer: -320*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*j**6 + 143*j**2.\nAnswer: 12720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15638019 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 1 - 15*k + 6*k**2 + 1\/3*k**3. Calculate v(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 9, 4*y + 4*x - 22 = 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 63 = -u, 2*u - 134 = -g + 3*g. 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 18326 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 5*f - 55. Let s = -13 - -25. What is the remainder when 255\/s + 4\/(-16) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 69564.\nAnswer: 765204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*t + 79*t - 10. Which is the nearest to -1? (a) -3 (b) 9 (c) t (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. Let m be ((-4)\/6)\/(6\/9). Let x = 0 - 5. Sort y, m, x.\nAnswer: x, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 10*g + 14. What is n(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 222\/11 + 2\/(-11). Let n(a) = 5*a**2 - 5*a + 11. Let v be n(4). Let f = 79 - v. What is the greatest common factor of y and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -253, -2\/5, -1.14?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1951, -3\/8, -4\/7, 5, -8, 2 in decreasing order.\nAnswer: 1951, 28, 5, 2, -3\/8, -4\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 2*b**2 + 3*b**3 + 4554 + 4557 - 4*b**4 - 9113 - 6*b**4 + 2*b to the form u*b + s*b**2 + h*b**4 + c*b**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 569, 2.87, 0.3, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, 0.1, -2\/11?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 2. Let h(g) be the first derivative of g**3 + 612. Calculate l(h(m)).\nAnswer: -12*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8201 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13300\/(-400)*8\/21*-3\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t. Let h(o) = 97*o**2 - 8*o - 3. What is s(h(c))?\nAnswer: 388*c**2 - 32*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 51 = -5*j, -4*j + 7 = -n + 1. Suppose t - 28 - 26 = 0. Let l = t + n. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -1.5. Let j = 12 + -7. Which is the closest to -1? (a) j (b) h (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1830 + -1826. Let r(s) be the first derivative of -12\/5*s**5 + 0*s + 4*s**3 + 4\/3*s**6 - 4*s**4 - 12 + x*s**2. Suppose r(w) = 0. Calculate w.\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7*x + 2. Let f be v(7). Let n(k) = 4*k - k**2 - f - 2*k - 1. Let j be n(4). Let r(p) = -3*p - 4. Let z(h) = -6*h - 7. What is j*r(o) + 6*z(o)?\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 377, 394, 417, 446, 481, 522?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 658, 2\/3, 54, 0.1?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -124.229 (b) -0.3 (c) 0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 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: Which is the sixth smallest value? (a) -7\/2 (b) 106 (c) -39 (d) -1.1 (e) -0.3 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243433 (base 6) in base 5?\nAnswer: 1142144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1143, -992, -841, -690, -539, -388?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 731578568 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12003021 + 1?\nAnswer: -12003020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/3 (b) -0.1871 (c) -4 (d) 1131 (e) 2\/7 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2884070 rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167455 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 11*l + 200. Solve 4*z - 14*z + l = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.25064 millilitres in litres?\nAnswer: 0.03125064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 29130612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -2\/9 (b) 13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166482607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/8)\/((-4)\/(-16)). What is the units digit of -1 - 3\/m*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646534 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*k + 5*k - 38 = -2*m - 5*k, -17 + 52 = 5*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(1\/13))**(-6)\/(m**(2\/7)*(m*(((m\/m**(-1\/4))\/m*m*m)\/m)\/m)\/m*(m*(m*m**(1\/3))\/m)**(2\/25)) assuming m is positive.\nAnswer: m**(-4937\/27300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h + 3. Let o be (-11)\/(-1)*(-4 + 3). Let k(l) = -2*l + 1. Let a be 1\/(3\/20)*3. Suppose 0 = 5*q - 10*q + a. Determine o*k(z) + q*p(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 4*q**2 + 4*q. Let z be b(-2). Solve 2*m + z = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 32*i**2 + 10*i - 9. Let j(d) = 31*d**2 + 10*d - 9. Let w(o) = 4*j(o) - 3*q(o). What is the units digit of w(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + 4. Let y be -8 - -6 - p\/2. What is the tens digit of 3*(-1 + (-352)\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14632334?\nAnswer: 2, 7316167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 3, d: 1, o: 3, v: 1}. Give prob of sequence gd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**3 - 2*i**2 + 1. Let j be t(-1). Let p = 21 + j. Suppose -5*k + 19 = -56. Calculate the greatest common factor of p and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59.9 - -60. Which is the second biggest value? (a) 9 (b) -0.4 (c) 0 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -222681.1?\nAnswer: 222681.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*s + 4, 0*s - 64 = -5*f - 2*s. What is the common denominator of (-17 - -18) + (-107)\/f and 5\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 29. Calculate the remainder when 28 is divided by -4 + 3 + 6*(1 - x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 8715*i**2 - 52371*i - 78597 = 0. What is i?\nAnswer: -3, 2911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -356.07 + 358. Let k = -14.97 - d. Let x = k - -17. Put 0, 2\/5, x in increasing order.\nAnswer: 0, x, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2 + 43*r + 12. Let w be x(-6). Let h = -26 - -15. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4801833, 9603665, 14405497, 19207329?\nAnswer: 24009161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3650*k - 21042 - 15395 - 63 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306168 divided by 6.\nAnswer: 51028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-49)*(-5)\/(-5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 8*a + 8. Does 9 divide v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 11*y + 38. Give g(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15\/208 + 371\/624. Let r(d) be the second derivative of -1\/6*d**5 - 1\/30*d**6 - 1\/12*d**4 + 2\/3*d**2 - 6*d + 0 + i*d**3. Solve r(q) = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5317748682?\nAnswer: 2, 3, 17, 43, 1212437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 315*i + 1308.\nAnswer: -3*(i - 4)*(i + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 51. Let f(g) = -2256 - 4*g - 2265 + 4547 + 3*g. Determine 3*a(l) + 5*f(l).\nAnswer: l - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122750866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3400\/(-1540) + 132\/(-363)?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/1)\/(2\/5). Let r = b - -17. Calculate the highest common divisor of 108 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*o = -5, 267*p = 264*p + 2*o - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948723 is divided by 189741?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - u - 3595. Let k = u - 146. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (94\/(-329))\/(3 - 1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 435?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233 - 2200133?\nAnswer: -2132300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 - 85*k + 36927*k**2 - 73860*k**2 - 2 - 92*k + 36929*k**2 to the form j*k + g*k**3 + s + q*k**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c + 7. Let i(m) = 6*m + 8. Calculate 5*i(n) - 4*t(n).\nAnswer: 6*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:27 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7918, 8244, 8618, 9052, 9558?\nAnswer: 10148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4040 - 34123144?\nAnswer: -34132234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -378.57065 - 0.15?\nAnswer: -378.72065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47.3 or 14\/3?\nAnswer: -47.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.596846mm to micrometers.\nAnswer: 2596.846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Suppose 2*b + j = 124 + 1, 3*b + 5*j - 184 = 0. Suppose 0 = -h - n*f + 33, -f + 0*f = -h + b. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/2 - 8*r + 5\/2.\nAnswer: (r - 5)*(3*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45338, 45336, 45334, 45332, 45330, 45328?\n\"Answer: -2*x + 45340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -24. Let x(p) = -u + 4*p + p**2 + 6*p**3 + 49*p**3 + 0 + 0*p. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 + 1 + m**3 + 5*m**2 + (4*m + m - 3*m)*(-2*m**2 - 5*m**2 + 28*m**2) to x + u*m**3 + o*m + c*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffifccf. What is prob of picking 2 c and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 3*i**3 - 3*i - 3*i**3 + 0*i + 0*i + (-3 + 0 + 1)*(2*i**3 + 4*i - 4*i) + 2*i**3 - 3*i**3 - i**3 to the form f + l*i**3 + r*i**2 + v*i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 8. Let l be 9*(-2)\/(-3) + -3. Let p be ((-2)\/l)\/((-2)\/j). Solve -7*i - 20 = -p*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 39, 46, 53, 60?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a factor of 224042918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:18 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-136) - (-6875)\/425?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*g - 2 + 3*g)*(28 + 37 + 105).\nAnswer: -340*g + 340","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -723 take away 7?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 4. Let h = -33 + t. Let n = h + 10. What is the smallest value in 0.3, -8, n?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4532446 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25899328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48098.02mm to meters.\nAnswer: 48.09802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 - 18*q + 9. Let y be z(6). Suppose -y = -2*j - 5. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*x**3 + 3*x**2 = 0. Calculate x.\nAnswer: 0, 3\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197926 is divided by 356?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f*j*p**3 - 17*f*j - 70*f*p**3 + 14*j*p**3 + 995*j*p**2 - p**3 wrt p?\nAnswer: -36*f*j - 420*f + 84*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-2) + 13 + -22. Let c(q) = 3*q**3 + q**2 - 2*q + 3. Let s be c(t). Solve 0 = s*g - v + 6, -g - 3*v = v - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let b(q) = -159*q**2 + 10*q. Give b(k(u)).\nAnswer: -159*u**4 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3026.04 - 3039.1851. Let g = -74 - -87.2. Let q = g + j. What is q rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314849044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -61610719 smaller than -61610716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6387129824 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((1827\/54)\/(-29)). Let c = 12 - -4. Suppose -d*a + c + 2 = 0. Solve -g = -2*g + a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (-78 + -14) - 52.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 424, 759, 1096, 1435, 1776, 2119?\nAnswer: 2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*z + 780, 5*m - z = 3*z - 785. Let o = -1227\/8 - m. Which is the third biggest value? (a) -2 (b) o (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/g)**(8\/9)*(g*(g\/g**(22\/9))\/g)**(-2\/55) assuming g is positive.\nAnswer: g**(2666\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.38? (a) -4 (b) 0.1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 180*r - 177.\nAnswer: -3*(r - 59)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 7*i**2 - 9*i - 3. Let o be g(-8). Suppose -w + 13 = o. Suppose t = 5*t - w. Solve t - 7 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1334618, -2669265, -4003944, -5338655, -6673398, -8008173?\nAnswer: -9342980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43889.\nAnswer: 43889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w + 3*y, 4*y + 26 = w + w. Let l = 17 - w. Suppose l*a + 22 = 9*a. 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: Suppose -37*l + 42*l - 5*k = 13680, 4*l - 10954 = 2*k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snnqksswxkqsxxxkqw. Give prob of sequence wkkx.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 0. Suppose -d = 2, b = -2*z - 3*z + 3*d + 71. What is the remainder when 37 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 102, 481, 3, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198 + 993\/5. Let b = 13.1 - 13. Let d = b + -3.1. What is the third biggest value in d, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11*(-8)\/(-14))\/(684\/(-532)) and -55\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003261140408 to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1\/a*a*a*a)**(-1)\/((a**(-4)\/a*a*a)\/a**(-5\/6)))**(1\/51) assuming a is positive.\nAnswer: a**(-5\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 12. Let m = 1832 - 1823. Calculate the remainder when s is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65124, 130055, 194986, 259917, 324848, 389779?\n\"Answer: 64931*l + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2037*c**2*q**3 - c*q**3 + 186*q**3 wrt c?\nAnswer: 4074*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v**3 - 16 + 16)*(2*v**2 + 2*v**2 - 2*v**2).\nAnswer: -18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4583 + -82583\/18. Let u = 8\/89 + -6367\/534. What is the common denominator of c and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-15)\/(-4)) + -2 + 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1256159 >= -1256159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 216, 2 in increasing order.\nAnswer: -5, -3, 2, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/2*1*2. Let s = w + 2. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + -47667?\nAnswer: -47702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from weneuvnnvveunwwnnnvu?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3*r**3 + 1)*(19*r - 21*r - 10*r) as h*r**4 + c*r + u + w*r**3 + l*r**2 and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**3. Is u(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8*(-7)\/(35\/10)*-1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, r: 3, x: 1, s: 1, u: 1}. What is prob of sequence vrvs?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:01 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14755647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14584 + 0.15416. Which is the third smallest value? (a) -0.1 (b) 4 (c) f (d) -21 (e) 3\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1440)\/300)\/(8*23\/(-920))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/5775053 and -29\/61.\nAnswer: 5775053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17547 - 17548. Which is the nearest to d? (a) -8 (b) -0.1 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 4*g**5\/5 - 4*g**4\/3 + 11*g**3\/6 - 8*g - 27. Let i(h) = -3*h**3 - h - 4*h + 3*h**2 + 3*h. Determine -11*i(p) - 2*w(p).\nAnswer: p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654 != -5936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 + -1951774.5.\nAnswer: -1951775.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuzzadiiiaaaa. What is prob of sequence dik?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-12))\/((-12)\/(-36))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/8 + 3*h**4\/4 + 9*h**3\/4 - 27*h**2 + 567*h\/8 - 243\/4.\nAnswer: -(h - 3)**4*(h + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -7*s**4\/12 + 4*s**3\/3 - 31*s**2. List the prime factors of g(-7).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:45 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*p + 2*v, 5*v - 33 = -p - 6. Suppose -p*g - 1788 = -5*g. Suppose -260 = 2*x - 2*f, 74 = -5*x + f - g. What is x rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11893 = -j, -15*j - 40*s - 47272 = -19*j. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 3*r**3 - 5059*r. Let p(t) be the third derivative of t**4\/24 + t**2. What is u(p(x))?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 - 5*h**2 + 2*h + 4. What are the prime factors of i(3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 8*b - 9. Let r(a) = 21*a. Let q(g) be the second derivative of -g**3\/3 - 3*g. What is b*r(x) + 22*q(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l + 28. Suppose 25*y = -29*y - 55*y + 218. Determine h, given that 2*h**4 - 16*h**2 + y*h**4 - 32*h**3 + 16*h + l*h**3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(228) - -2*sqrt(228)*6 - sqrt(228)))\/(((-2*sqrt(480))\/sqrt(10))\/sqrt(4)).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060338732?\nAnswer: 2, 3, 23, 3841807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 939.1223 kilograms in milligrams?\nAnswer: 939122300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40518 - 23374. What are the prime factors of l?\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -4*z - 5*a, -3*a = -2*z - 8*a - 340 + 326 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 33*b = -7*w + 31706, -6352 = -b - 5*w. List the prime factors of b.\nAnswer: 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.084, 0.1, -0.1, 82\/23, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -57. Let f = -2430.3 - -2430. Which is the closest to g? (a) -2 (b) 1 (c) -0.005 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 229*p + 5893. Calculate n(-31).\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 29, 36, 45, 56?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(12)*-2 - sqrt(12)))\/(2*sqrt(864) - sqrt(864)).\nAnswer: 25*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 2, -3 in decreasing order.\nAnswer: 2, -3, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/2 + 47821*l**4 - 5741037*l**3\/2 + 51820163*l**2 - 236386982*l - 291125484 = 0. What is l?\nAnswer: -95702, -1, 9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*p - 18*p + 3*r - 12, 0 = 4*p - 2*r - 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*a)*(3*a - 772 + 0*a + 4*a**2 + 774).\nAnswer: -16*a**3 - 12*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23749 - -23766. Calculate the remainder when 4198 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x - 4*x)*(4*x**2 + 2*x**3 - 4*x**2) + (x - x + 5*x**2)*(-2*x**2 + 0*x**2 + 8*x**2).\nAnswer: 26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -4\/71 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (31 - -2) + (-36)\/3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*r + 9*r + 18. Suppose 2*y = 0, r*y - 58 = -3*z + 56. Suppose 34*d - z*d = -1364. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1981*f + 20. Let m be r(4). Let j = m + 11517. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2419 + -2422. Put 0.11, b, -1, -1\/4 in descending order.\nAnswer: 0.11, -1\/4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/69960965, -2, -2\/9 in decreasing order.\nAnswer: 1\/69960965, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3105183 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761.9634t to kilograms.\nAnswer: 761963.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - ((-5 - -4) + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 12, -4, -0.782, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -6536*r**3\/3 + 441*r**2 - 4*r + 4287. Find the second derivative of p(h) wrt h.\nAnswer: -13072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**3)**(1\/2))**(-1\/95))**12)**(-37) assuming n is positive.\nAnswer: n**(666\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-2)\/((-4)\/(-2))). Let w = -0.1751 - -2.1751. What is the third biggest value in 0.9, n, w?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30132390971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11 + 9 - 21 - 10*m - 7*m. Let x(t) = 2*t + t + 0*t - 10*t + 6*t. Let n(w) = f(w) - 6*x(w). Differentiate n(z) with respect to z.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*v + 16, -12*r - 21 = -3*v - 0. Let d = -0.525 + 0.095. Let n = 0.5 + 0. What is the third biggest value in n, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bobobbzzobbbizcob. What is prob of sequence izbo?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26159 and 1554?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + -3 + sqrt(891)*1 + 5 + 5)**2.\nAnswer: 162*sqrt(11) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5785*m + 186. Is y(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29962975 divided by 5992595\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(8\/(-160)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 55. Suppose -4*j + 3*u + n = 0, -11*j + 8 = -9*j - u. What is the greatest common divisor of 45 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t. Suppose -3*x - 25 + 10 = t. Let u = -16\/129 + 467\/645. What is the nearest to -1 in x, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202 - 158 + 291 + 109)*(-2*o**2 - 3440*o + 3440*o - 16).\nAnswer: -888*o**2 - 7104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 6919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {w: 3, r: 1, f: 5}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = -2*t. Let z = -2.6 - -0.4. Let j = 0.2 + z. Which is the third smallest value? (a) j (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 190 + 1352*k**2 - 975*k - 47*k**3 + 40*k - 637*k**3 - 54*k**4 + 55*k + 54*k**5.\nAnswer: 2*(k - 3)*(k + 4)*(3*k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 37049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 13 - -15) + -56 + 18\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -717 + 720. Which is the fourth biggest value? (a) -2\/29 (b) -0.5 (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10500\/1200 - (6 + 2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 353*s**3 + 4*s.\nAnswer: 353*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Let l(y) be the first derivative of 2 + 0*y**2 + 0*y - 2\/3*y**r. Let v(a) = -2*a**2. Determine v(l(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aakakkakaakkakkkaka. What is prob of sequence kaa?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 745046\nAnswer: 12\/372523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 604453 (base 8) in base 6?\nAnswer: 4133031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678648 is divided by 495.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/40 - 8\/(40\/1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/17)\/j**(-13))**43)**33)**(-47) assuming j is positive.\nAnswer: j**(-14872539\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/12)\/((266\/(-38))\/(12\/(-2)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2284, 4625, 7030, 9493, 12008, 14569, 17170, 19805?\n\"Answer: -u**3 + 38*u**2 + 2234*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754767 is divided by 66.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 177*i - 178.\nAnswer: (i - 1)*(i + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(22)\/(sqrt(8)\/sqrt(4)) - (sqrt(11) + -2*sqrt(11))*1) - 3*-3*(sqrt(88)*2)\/sqrt(8))**2.\nAnswer: 40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -72\/395, 4, -7.4 in decreasing order.\nAnswer: 4, -72\/395, -7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-5)*21\/(-4). Let k = u + 21. Suppose k = -5*i + 174 + 561. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (100 - 39*i**2 - 2*i**3 - 55 - 39)*(7*i - 112 - 8*i + 31) to v + l*i**3 + c*i**4 + a*i**2 + p*i and give l.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11 + 1 = 0. Suppose -3*u = 5*d - 12, 4*u + h*d - 5 = -d. Sort -8, 1, u in decreasing order.\nAnswer: 1, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - 12. Suppose 28 = 4*c + 4*n, -2*c - a*n + 15 = -3*n. Calculate the smallest common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Let l be (16*-2)\/n - 0. Is l <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 3. Let g be i(-3). Suppose y + 2*y = g*x + 3, -4*x = -3*y + 8. Suppose -6*p = -24*p + 72. Sort x, p, 3 in decreasing order.\nAnswer: p, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (177\/8)\/(2\/4). Let m = i - 44. Is -0.03 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 742687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 576\/7 + 340\/7*g**2 + 2112\/7*g + 2*g**3.\nAnswer: 2*(g + 12)**2*(7*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (5 - -2) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 1) + -2 + 5. Let l(g) = -g**3 + 5*g**2 + 8*g - 2. Let r be l(y). Suppose -6*o + 100 = -o. Calculate the greatest common factor of o and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1003 + 103998*a**2 + 336 - 104000*a**2 + 326 + 341.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 - -33011?\nAnswer: 33131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575719717?\nAnswer: 131, 271, 16217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116\/23 + -28\/115. Let u be (-24)\/(-224) - 1\/(-7). Sort 3, -3, u, m in ascending order.\nAnswer: -3, u, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 4. Let g = p - -5. Suppose g*w - 187 = 50. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100*l + 9329*l - 2457*l - 2267*l + 11907*l.\nAnswer: 17612*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/86 + -467\/516. What is the common denominator of b and (16\/(-224))\/((-4)\/(-14))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 504\/616*11 + (-4445)\/495.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 4*k**2 + 2. Let o be n(-4). Suppose -2*m - 16 = -2*q, 2*m = 5*q - 14 - 14. Solve -1 - q = o*x - t, 0 = -3*x - 5*t - 27 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, n: 1, k: 1, l: 2, i: 1, x: 2}. Give prob of picking 1 x, 1 j, and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 58084.27cm?\nAnswer: 580842700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)*(j**(5\/4)\/j)\/j)**(-20)*(j**(-1\/12)*j**(-7))\/(j**(1\/7)*j\/(j**(2\/15)*j)) assuming j is positive.\nAnswer: j**(1667\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 - 8 + 8)*(-3*v**2 - 2*v**2 + v**2) - 2*v + 3*v**5 + 4*v**5 - 8*v**5 - 2*v**3.\nAnswer: -17*v**5 - 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25296 and 2470080?\nAnswer: 41991360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-9) + (1180\/9)\/5. Suppose -m*j = -30*j + 16. Let p be 6\/10 - 4\/(-10). Solve -8 = j*z, -r + p = 5*z + 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136358 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892367728 to the power of 1\/2, to the nearest integer?\nAnswer: 43501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from kgrgkkmkrgxkk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((18\/10)\/3)\/((-63)\/(-525)). Suppose 4*g + t*v = 2333, 5*g - 5*v = 1410 + 1495. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t - 1. Let x be m(2). Let q(z) = -4*z**2 + 5*z - 6. Let w(y) be the first derivative of -y**3\/3 + y**2\/2 - y - 3. What is x*q(d) - 5*w(d)?\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-527)\/(-124) + 10\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3150.2931 - -3067.49. Let f = 83 + a. What is f rounded to 3 decimal places?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18277, 18134, 17991?\n\"Answer: -143*n + 18420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65, 149, 231, 311, 389?\n\"Answer: -y**2 + 87*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 321*k - 28. Let s(z) = 66*z + 1. Determine -b(d) + 4*s(d).\nAnswer: -57*d + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*n = 7 - 31, 3 = 5*q - 4*q - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44.2 + 40.2. Let s = 7 + -5. Let x = 2.3 - s. What is the nearest to 1 in -0.1, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllbll. What is prob of picking 1 b and 1 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -315277255 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-126 + 126 + 9*v)*(0*v + 7*v + 2*v).\nAnswer: 81*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -4e?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20812 - 20809. Let h(z) be the first derivative of -3*z + 1\/3*z**k + 3*z**2 - 19. Calculate h(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -159, -4, -28 in increasing order.\nAnswer: -159, -28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 - 129954*k**3 - 1406946927*k**2 + 8445190644*k - 12669540588 = 0. What is k?\nAnswer: -21662, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-55)\/(-10)))\/(56\/12).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 59.25184 decades?\nAnswer: 0.5925184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let w(n) = -2*n**2 - 12. Let q(i) = 1. Let d(g) = 1. Let f(z) = -2*d(z) + 3*q(z). Let k(h) = 12*f(h) + w(h). Calculate k(j(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8753*u - 4353*u - 4363*u.\nAnswer: 37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express y - y - 7*y + (-7 + 1 + 2)*(-2*y - y + 2*y) - 4 + 4 - 8*y + (4 - 2*y - 4)*(-3 + 3 - 1) in the form b*y + r and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(4\/(-2 - -6)). Let x(r) = -3*r - 6. Let f(i) = 10*i + 13. Let j(z) = -29*z - 39. Let b(k) = -8*f(k) - 3*j(k). Calculate v*b(g) + 9*x(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 2 p when four letters picked without replacement from {m: 7, j: 4, n: 4, h: 1, p: 3, d: 1}?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127.5 - -128. Which is the fourth smallest value? (a) -0.2 (b) -0.5 (c) x (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1807954 and 1124?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -202 or -109519?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 7, w: 2, o: 5, n: 4}. What is prob of sequence now?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 19406240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*t - 5*t. Calculate the greatest common factor of t and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Let l be 1 + -1 - n\/20. Let h = -3 + 2. Is l at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:36 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 4. Let p be u(2). Let s = p + -4. Suppose 4*j + j - 15 = 0. Put j, s, -5 in decreasing order.\nAnswer: j, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 5*l - 3. What is h(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12992 and 2930711.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = -35. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-8)\/(-24) + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 638 and -6294.\nAnswer: -4015572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*u, -2*u - 5*b = -0*b. Suppose u = 4*d - 0*d. Suppose 21 = v + 5*i, -i = 4*v - d*i + 11. Let a(q) = -2*q - 6. Determine a(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 - 133. Which is the nearest to q? (a) -0.04 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*10\/(-270) + (-2)\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - n + 3*n + 0*n**2 - 3 + (-54*n - 30*n + 52*n)*(-4 + 2 + 4)*(0*n - 3*n - 2*n) to the form y*n**2 + x + z*n and give y.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.274 and 0.5?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 185114, 370227, 555344, 740465, 925590, 1110719, 1295852?\n\"Answer: 2*n**2 + 185107*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*m**2 - 46*m**5 - 47*m**2 - 9*m**5 + 19*m - 19*m + (0*m + 0*m + 2*m**2)*(-4 + 7 - 2*m + m)*(-5*m**2 + 3*m**2 + 0*m**2).\nAnswer: -51*m**5 - 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1117738 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2625 and 24337250?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 6196 - 128 = 0. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (-15)\/(-35) - (-33145)\/49.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -1103142302?\nAnswer: 1103142223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22138 is divided by 2458.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 693597 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 607*m - 178*m + 2 - 2 as s*m + r and give s.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1199925 and 12132575.\nAnswer: 109193175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 2*m - 13)*(14 + 7 + 15 - 10) to the form d*m + j and give d.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.1 - 4.252. Let a = y + 0.15200061. What is a rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35001 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 422, 4, -5\/19, 0.59, -0.1?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = -3*f. Calculate the lowest common multiple of f and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -81781, -163580, -245391, -327214, -409049, -490896, -572755?\n\"Answer: -6*g**2 - 81781*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(35) - (sqrt(35)*-4 + sqrt(35))))\/((sqrt(224) - sqrt(56))\/sqrt(8)).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/5 + -3 + 13 + (-7710)\/510?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2. Let o(k) = -20*k**2. Let d(m) = 2*o(m) - 15*x(m). Let w = 34 - -32. Let z(s) = -31*s + w*s - 36*s. What is d(z(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i - 21. Let y(o) = -3*o + 10. Let m(k) = 4*r(k) + 7*y(k). Let d be m(6). Solve -4*v + 4 = 0, v + 2 + 17 = d*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19771\/72375 - 47\/579. Let s be (-12)\/2000*4*382\/4. Let t = o + s. What is the common denominator of 67\/10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {a: 1, r: 2, x: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 20 - -4) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9019 - 2*w + 4533 + 4542 to the form m + v*w and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 8. Suppose -c*v - 6 = -8*v. Suppose -3 - 12*q**2 - 4*q**3 + 5*q - q**4 - 8*q - 2*q**v - 7*q = 0. Calculate q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(500)*-1)\/sqrt(4) - (sqrt(300)\/sqrt(300))\/sqrt(5)) + 3).\nAnswer: -26*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -3 - 4 - (0 + -8 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 2 (c) 0.4 (d) -0.2 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 132, 99, 66, 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**6))\/((l\/(l*l\/l**(-1\/4)))\/l)*l**0*l\/((l**(-2\/5)*l)\/l)*l*(((l**(-1\/3)*l)\/l)**28)**36 assuming l is positive.\nAnswer: l**(-6507\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50729*b**2 - 42337*b**2 + 13174*b**2 - 50112*b**2.\nAnswer: -130004*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i = -3*n + 34, 589*i - 587*i = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uznqzuuuq. What is prob of sequence uzq?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 556, 4 in ascending order.\nAnswer: 4, 20, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 9 - 83. Let m = a - -23. Solve 3*g + 0*g - 6 = m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p + 25. Let m = 60082\/21 - 6916\/3. Let x = m + -556. What is the closest to x in 2, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*g - 28*g + 10842 = -295*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lihf when four letters picked without replacement from hihhhfhhhfhhhihlhhi.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076617634 a multiple of 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1421?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -356111 and -13.4.\nAnswer: 4771887.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**3 + 2*r + 3. Let m(c) = 31*c**3 - c + 19. Let u(o) = -15*o**3 - 9. Let t(n) = -4*m(n) - 9*u(n). Calculate -3*t(y) + 5*w(y).\nAnswer: -3*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*(m*m*m**0*m*m)\/m)*m)\/m**5*(m**1\/m)**(-4\/3))**(2\/117) assuming m is positive.\nAnswer: m**(-4\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s. Let x be o(-3). Let v = -7 - -13. Suppose 30 = -f + v*f. Calculate the greatest common divisor of x and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2666 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 - 6c6c?\nAnswer: -6cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/12 + i. Let z(u) = -8*u**2 - 7*u. Let p(v) = 7*v**2 + 6*v. Let x(o) = -7*p(o) - 6*z(o). Determine x(f(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1952 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50899691*z**3 - 2671909*z**2 + 2*z - 6?\nAnswer: -305398146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*i - 3 + i - 2*i - i + (-i + 0*i - i)*(1 - 1 + 1) + 6*i - 4*i + 2*i + 2*i - i + 0*i)*(2 + 0 - 3).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d**4 + 19*d**4 - d - 6*d**3 + 14 + 9769*d**2 - 9778*d**2 in the form f*d**3 + t*d**2 + u*d**4 + a + m*d and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 15?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 2, m: 2, o: 4}. Give prob of picking 1 o and 1 q.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -205*u**2\/2 - 13133*u\/2 - 60102 = 0. What is u?\nAnswer: -53, -2268\/205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 80377357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17.64467 millennia?\nAnswer: 176.4467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-11)*q)\/q)\/q**(-9)*(q**(-9)\/q)\/q*q*q**(2\/5)*q)**(-1\/8) assuming q is positive.\nAnswer: q**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -808, 1, 4 in ascending order.\nAnswer: -808, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-3 + 3 + 1)*(-19 - 6 - 7)*(3 - g - 3).\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k - 42. Let q be h(-12). Solve -5*s = b - 4*b - q, -4*b - 26 = -2*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4501\/4 or -1124?\nAnswer: -4501\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 226116437 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6765 - 3998. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2883*c**2 + 11*c - 9036?\nAnswer: 5766*c + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24108901.\nAnswer: 103, 234067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1894080 and 1920.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5*o**5*o)\/(o\/(o*o**(2\/5)\/o))**(-3\/4))\/((o\/(o**1*o)*o)\/(o\/o**2)*(o*o\/o**(-1\/3)*o*o)**(-3\/5)) assuming o is positive.\nAnswer: o**(261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 41*v**2 - 4. Let f(c) = 82*c**2 - 9. Give 4*f(z) - 9*w(z).\nAnswer: -41*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3572 + -3569. Which is bigger: -729 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**3 + 415*g**2 + 806*g + 24637. Calculate b(-41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1602, 3211, 4820, 6429?\n\"Answer: 1609*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*c - 6. Let g = 5 - c. Let j(u) = 0*u + 2 + u - 7*u - 9*u**3 + 4*u**3. Let o(p) = 11*p**3 + 13*p - 4. Give g*o(y) + 13*j(y).\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o + 8. Let k(c) = 22*c + 34. Calculate -9*j(x) + 2*k(x).\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/(sqrt(9) - sqrt(81)))\/(sqrt(1089) + sqrt(1089)*2).\nAnswer: -sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2. Let b = -17 + 20. Let r(z) = 7*z**2 - 2*z**2 - b*z**2. Give r(p(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 150?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43179391537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + v + 471. Let b be n(0). Suppose 9*s = 8*s + b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 19 = -5*c, -768997*c + 768994*c + 2*l = -13 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17403 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -51 + 6. Suppose i = 2*o + n, 2*n = -8*o + 5*o + 14. Solve 4*k = -o*c, -4*k + 0 + 4 = 3*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 18145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a second?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apz when three letters picked without replacement from zxnnpapuzpzz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 4866896.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -41. Solve 5*n - n - z = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (34 + (-4393)\/138)*18\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18272, -23, 2\/9 in decreasing order.\nAnswer: 1, 2\/9, -23, -18272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b22 + 1?\nAnswer: -2b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d + 5*d - 5*d + (d - d - 2*d)*(2 - 1 - 2) - 3 + 3 - d + 2*d + d + 9*d to the form h*d + c and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = b + 3*u + 4, -b = -5*u - 7. Let p be (4\/b)\/((-2)\/144). Suppose 20 + p = 4*v. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 12. Let b = -5 + -5. Let w be x(b). What is the first derivative of w*n**3 + 3 - 1 + 1 wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*m**2*y - 60*m**2 - 14*m*y + 568*m wrt m?\nAnswer: -404*y - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = -0. Let o be (3*35\/(-60))\/(y\/4). Suppose -31*b = -30*b - o. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2070 - 2070.841. Let z = -0.541 - j. Let h be (-1)\/(-11)*(2 + 0). Which is bigger: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 10 = 4*b. Suppose b*q - 21 - 9 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/48 + 3)\/(1\/2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 1. Let f be n(-1). Let y(h) = 148*h + 148. Let k be y(-1). Solve k = -3*r - 3*d + f - 5, 2*r + 16 = 5*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3269777 divided by -1?\nAnswer: 3269777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -354*p - 1. Let q(l) = -l**2 - 68*l. Determine i(q(y)).\nAnswer: 354*y**2 + 24072*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/40 in 4, -40\/7, 37, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*o - 11608 - 11336 = 783*o for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -714*s**2 - 5*s + 6. Let j(l) = -1425*l**2 - 9*l + 11. Calculate -11*c(m) + 6*j(m).\nAnswer: -696*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 83.7. Let x be (-552)\/(-54) - 4\/18. Let b = x + -10. What is the closest to 3\/28 in v, -1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(242) + 5*(-2 + sqrt(242)) + ((sqrt(128) + sqrt(2))*-2 - (-4 + 4*sqrt(2))))**2.\nAnswer: -88*sqrt(2) + 3873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v + 306000. Suppose 2*k - k = -v. Round k to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**3\/3 - 32279770*g**2\/3 - 12404564549212*g + 3544162178136.\nAnswer: -(g + 2305698)**2*(7*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y + 408 = 27*y. Which is greater: y or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 + 5*i = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 265295873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 56 - 28 = 0. Solve q*s = 0, 4*b - 5*s + 3*s - 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 10*p - 4. Determine g(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Let j(k) = -20*k**o - 1 - 1 + 7 - k + 19*k**3 + 5*k**2. Determine j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1907310 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-7*r + 9*r - 4*r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3695571 and 414.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-199546)\/(-153) + (2\/(-8) - (-2)\/72). Is 1306 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31582819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-24)*-2*(42\/(-3))\/28?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3871 and 415303?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*a + 39*a - 2373*a - 1305*a.\nAnswer: -4120*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*d - 2*c + 57, -3*c + 93 = 18*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let a(s) = 9800980*s + 7672. Let b(o) = -3833*o - 3. Let w(m) = 3*a(m) + 7672*b(m). Calculate w(v(x)).\nAnswer: -3836*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/(-6) - (-9)\/54. Suppose 13 = w - a*q - 11, -2 = 2*q. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2*r**6\/3 + 2. What is k in l(k) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/7, 1\/3, 0, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1328497284 and 9756?\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-12)*(-123)\/(4456782\/528)\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10\/3)\/r*(r**(-14)\/r)\/r*r assuming r is positive.\nAnswer: r**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18926 - -18938. Suppose 5*f - 35 = -0*f. Solve -k + f*k = c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**3 + 57105*z**2 - 3352360*z + 6476340 = 0.\nAnswer: 2, 57, 11362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -3\/5, 1\/3, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000800729 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:30 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1416\/6608*(-140)\/(-24)*2\/15.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -4) + (1 - -3). Suppose 3*v = -2*v - i. Let d be (v\/3 - 0) + (-476)\/(-42). Solve -d + 3 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -199, -14\/3, -0.4, 0.4, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**4 + 24*r**3 + 27*r**2 - 40*r. Let o(m) = 2*m**4 - 60*m**3 - 66*m**2 + 100*m. Let y(j) = -5*o(j) - 12*p(j). Let y(c) = 0. Calculate c.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -21*j**3 + 16*j**2 - 29*j + 11. Let o(b) = -19*b - 724. Let c be o(-38). Let x(w) = -4*w**3 + 3*w**2 - 6*w + 2. Determine c*l(t) + 11*x(t).\nAnswer: -2*t**3 + t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/668 and -23\/5.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -244200000 rounded to the nearest one million?\nAnswer: -244000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 7597902 = 7597182 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.4 - 7. Let n = -13.39999916 - k. Round n to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 330682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1008)*-1 - (sqrt(1008) + (sqrt(1008) - (-5 + (sqrt(1008) - (sqrt(1008) + 2*sqrt(1008)))))))**2 - 6*(-1 + (sqrt(700))**2 + -2).\nAnswer: 960*sqrt(7) + 60355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and -0.39.\nAnswer: -10.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 92, -0.16, 17\/3, -0.1 in increasing order.\nAnswer: -0.16, -0.1, -0.09, 17\/3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3087743 + -0.11?\nAnswer: 0.1987743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j**3 - 2*j - 4. Let c be a(-2). What is the highest common divisor of 28 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let k(s) = 2*s + 1700. What is n(k(r))?\nAnswer: -2*r - 1700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5241183380 to the nearest integer?\nAnswer: 72396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:27 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 + 25*c**2 + 47*c + 23 = 0. What is c?\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-140)\/42)\/(4*1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = -2*h, -63 = -4*r - 3*h - 22. Let y(z) = -3*z**2 - 67*z + 54. Let g(b) = b**2 + 23*b - 18. Let l(t) = r*g(t) + 3*y(t). Factor l(d).\nAnswer: -(d - 1)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 2, -2 in ascending order.\nAnswer: -2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*l, -2*q - 7955*l = -7960*l + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 + q**3 - 6 - 6.\nAnswer: q**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 178389 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 2*j**7\/245 - j**6\/105 - 3*j**5\/35 + 8*j**3\/21 + 19*j**2. Let p(h) = 0. Calculate h.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -5*d**4\/4 + 39*d**3\/2 + 9*d**2\/2 - 63*d. Does 43 divide h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1097 + -262. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1593*q**3\/7 + 6378*q**2\/7 - 24*q\/7 = 0. What is q?\nAnswer: 0, 2\/531, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 8677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90199 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -1. Suppose -3*z + 39 = 3*f, z + z - 3*f = 46. Let n = -3 + z. Calculate the remainder when n is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28153231926931\/9891 - 2846348398. Let w = x - 4\/1413. Calculate the common denominator of w and 35\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 2. Suppose 2*g + 29 = -5*u, -g = u + 4*g + 15. Let v be l(u). Suppose -1 = -2*f - 8*z + v*z, 4*f - 4*z = 16. Sort -5, 4, f in ascending order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 716, 1431, 2146, 2861, 3576?\n\"Answer: 715*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + u**3 + 2*u - 30 + u + 3*u**4 + 31 to the form o*u**2 + q*u**3 + d*u + v + w*u**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) - (-312)\/54. Suppose 2*f + i = 4. Let y = 0 + 0. Is f less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 divided by 3?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176098640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1188 and 220?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 12:30 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 8 = -2*o. Suppose -3*a + 165 = -o*a. Let s = -118 - a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1472 is divided by 1469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-5) - (-2 - (-2392)\/(-20)).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593998365.\nAnswer: 3, 5, 41, 965851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 4. Let m be s(6). Let o(f) = -1 + f + f**2 + m*f + 4*f. Let c(q) = -20*q + 115. Let d be c(6). Calculate o(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/15)\/(-14)*1\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4463776 centuries to years.\nAnswer: 44.63776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h - 107*h = -153 - 686 - 91 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**7\/840 + 7*m**6\/240 - 11*m**5\/240 - 13*m**4\/48 + 493*m**2. Factor i(l).\nAnswer: -l*(l - 13)*(l - 2)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-2*n**3 + 4*n**3 + n**3) + (-3*n + 2*n - n)*(-4 + 4 + 4*n**2).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -t - t. Let c(r) = -8*r - 2. Let l be c(-2). Suppose 5*m + 5*j = 2*m, -m = -3*j - l. Sort -2, t, m in descending order.\nAnswer: m, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 8 = 5*p, 38*p - 34*p - c + 20 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 112\/84 - 128\/(-3). Let y(z) = z**3 - 5*z**2 - 5*z - 1. Let q be y(6). Suppose -v - 440 = -q*v. What is the greatest common divisor of v and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 148? (a) -1 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 64*a. Let z(c) be the first derivative of 2*c**3\/3 + 3*c**2 - 12*c + 14. Let s(b) = b - 2. Let n(g) = -6*s(g) + z(g). What is n(u(v))?\nAnswer: 8192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/117*(-2)\/(-6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -75888*g + 75911. Calculate p(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 15. Let c = 15 + 1. What is the remainder when k is divided by (6 + -2)*12\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, a: 3}. Give prob of sequence aa.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 405 = -417. Suppose -9*n - j = -3*b - 12*n, 3*b = -2*n + 7. Solve -4*l + 5*k + 23 = 7, -2*k - b = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/3*-117*6\/(-156)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11483 + -15 + 1 + -2 + 5. Suppose -14*h + n = -2*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(13) + 4 + sqrt(52) + sqrt(13) - sqrt(13)) + sqrt(468) + ((0 + sqrt(468))*1 + sqrt(468) - sqrt(468)))**2.\nAnswer: -30*sqrt(13) + 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 0.048 (b) -1 (c) -16 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:53 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*g - 4032 - 1136 - 407 + 331 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g - 19*g - 2*g)*(-2*g**3 + 8*g**2 - 5*g**3 - 10*g**2).\nAnswer: 231*g**4 + 66*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/4 - 10*o**3\/3 - 17*o**2\/2 + 6*o - 21. Let b be j(12). Let p = 40 + b. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 851*a**3 + 2*a**2 - a - 2. Let h(s) = s + 6. Let f be h(-8). Let x be i(f). What is x rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6464121 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 11. Let k = -99.1 - -94. Let x = k + 0.1. What is the closest to -1 in d, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 576800*s**3 + 16636065560*s**2 - 66537340800*s + 66535033680.\nAnswer: 5*(s - 57678)**2*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, k: 5, e: 2}. Give prob of sequence eemk.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 149216159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6545*r + 104723. Let j be x(16). Find l, given that 0*l - 8\/3*l**2 + 0 + 1\/3*l**4 + 2\/3*l**j = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (363\/66)\/(1\/92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648941536 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100111010001111110?\nAnswer: -100111010010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x**2 - 19*x + 3. Give l(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*l**3 - 295*l**2 - 296*l**2 + 592*l**2 + 29*l wrt l.\nAnswer: 402*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 22*k**2 + 53*k + 266. Give h(18).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.3 - 20.7. Sort -0.3, -2, -2\/7, u in decreasing order.\nAnswer: -2\/7, -0.3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 4*n + 1014. Determine l(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(126)*2)\/(sqrt(9) - (sqrt(108)*2)\/sqrt(12) - sqrt(9)))\/(2*(sqrt(98)*2 + sqrt(98) + sqrt(2))*5).\nAnswer: sqrt(7)\/220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595587 is divided by 69.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 57 = 3*m, m + 2*t - 19 = -2*t. Calculate the greatest common divisor of m and 190.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 7*a - 6. Suppose 10*t - 8*t = 0. Suppose g + 61 = 2*l, -3*g + t*l + 5*l = 181. Let d be 2\/(-3 - g\/21). Give s(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose 7*f = n*f + 2*z + 234847, -2*f + 3*z = -156573. Suppose -5*t = 1121721 + f. What is t rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - w = 0, -7 = -y - 2*y - 2*w. Suppose -3*j - y = -4. Let k = 8 - j. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 - 182. What are the prime factors of 30*((-8)\/c)\/((-2)\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 61*n**2 - 149*n - 454. Calculate q(-3).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 12:00 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*f**3 - 1\/4*f + 0 - 1\/4*f**4 - 3\/4*f**2 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = w - 3*x, x - 13 = 5*w + 5. Let u(y) = -2*y**3 + y**2 + 3*y - 4. Is u(w) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 3*d - 12. Calculate the least common multiple of m(-7) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77573 is divided by 2434?\nAnswer: 2119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.4 + -8. Let l = -39.5 - z. Let g = -1 - 2. Sort -0.4, l, g, -23 in increasing order.\nAnswer: -23, g, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 5*a + 115 + 178 = -77, -17 = 3*a - 6*a - 5 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 6, p: 4, k: 1, u: 1}. What is prob of sequence vk?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 12*x**2 - 32*x - 36. Give b(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -1\/2*k**2 + 14*k - 28. Determine u(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 7*v**2 + 5*v - 1. Let x(n) = -2*n - 2. Let u be x(-6). Let t = u + -16. Is q(t) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:14 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -10, 5*l - 259 = 3*b + 41. Determine t so that -35 - 52*t - 28*t - l*t + 5*t**3 - 45*t**2 + 218*t = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 1.4. Let k = -22 - -24. Suppose 2 = -2*z, k = -l + 4*z + 9. Which is the third biggest value? (a) j (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 83371476.\nAnswer: 583600332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 1\/42 (c) 4\/3 (d) -0.5 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 4*w + 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 10479*m**2 - 73590*m - 315000.\nAnswer: 3*(m - 10)*(m + 3)*(m + 3500)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1. Let c(p) = -2*p - 14. Let u(g) = -3*c(g) - 42*t(g). Let b(k) = -k**2. Determine b(u(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 4*f = 573 - 645. Let p(s) be the third derivative of 0 + 0*s + 0*s**3 + 16*s**2 - 7\/24*s**f. What is p(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*o - 76*o - 20*o**3 + 172*o)*(5 + 0 + 0).\nAnswer: -100*o**3 + 35*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-17 - (1 + (6 - 14))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7 - 3*z**2 + 3*z + z**3 - 5*z + 8 - 14. Let l be 0\/(-2) - (2 + -10). Let c be 26\/l - (-20)\/(-80). Determine p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/187, 2\/9, 5, 1 in descending order.\nAnswer: 5, 1, 2\/9, 20\/187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 76?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 4564 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-5 + (sqrt(108) - (sqrt(108) - (-5 + sqrt(108) + 0))))**2 + (1 + sqrt(108) + 4)**2 + -4 + sqrt(108)*2 + sqrt(108) + sqrt(108))*-2 + -1).\nAnswer: -360*sqrt(3) + 3375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 3. Let i(t) = t**2 + 1. Let n be i(-1). Let x be 44\/10 - (-12)\/(-30). Suppose 2*z - d - 8 = -x*d, -2*z - 12 = -n*d. What is u(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48441 is divided by 22599.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*q - 19 = 0, 20*m = 18*m + 4*q + 8. Find the first derivative of -19 - 12 - 7*w + 3 - m wrt w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 7*o - 14*o. What is the greatest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(36)\/sqrt(9))*-1.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 28. Calculate y(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1798982, -1798991, -1798998, -1799003, -1799006?\n\"Answer: p**2 - 12*p - 1798971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, o: 3, p: 4, f: 1, l: 1, g: 1}. Give prob of sequence op.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 422, -22, -4, -2 in increasing order.\nAnswer: -22, -4, -2, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 - -1.88. Let d = -0.9 - 103.2. Let k = d + 104. What is the smallest value in 1, k, 6, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26372, -52817, -79262?\nAnswer: -105707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.07 (c) -3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 11*r = -3*h + 4992, 5*h + 4*r = 8317. Suppose -3*w + h = -682. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 0, -2834 in decreasing order.\nAnswer: 109, 0, -2834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, h: 10}. What is prob of picking 2 c?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 393425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 83141 = 153*c + 625*c + 357*c for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -7*l**6\/60 + l**5\/6 + 5*l**4\/24 - l**2 + 39*l + 5. Let w(g) = -21*g**3 + 15*g**2 + 8*g. Calculate -8*h(f) + 5*w(f).\nAnswer: 7*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 6*h)*(1 - 2*h - 6 - 2) + 2*h**2 - 4*h**2 + 0*h**2.\nAnswer: -4*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -26, -27, -22, -11, 6?\n\"Answer: 3*c**2 - 16*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -14, 1\/316, 0.4.\nAnswer: -14, 1\/316, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1323 + -1042?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:22 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f17 - -51?\nAnswer: f68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.482399l in millilitres?\nAnswer: 9482.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c - 25 = -25*c. Suppose -4*j - 34 = 5*y, -j + c*y = -4*j - 28. Is 2*((-1947)\/j + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1307414?\nAnswer: -1307412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -0*a + 64. Suppose 3*j = 4*j + 5. Let v(c) = -c**3 - 4*c**2 + 3*c - 7. Let u be v(j). Solve 3*s + g = 0, -g = 4*s + u*g + a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -5 (c) 5\/4 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*v + 6*v - 42, -2*w + 5*v = -15. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -28. Solve 0 = 2*f + f - a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = -5*y - 355, -2*y = -2. Suppose -22*g + 17*g + k = 0. Let z = 36 - g. Sort 2\/5, 0.3, z, 6\/7 in decreasing order.\nAnswer: 6\/7, 2\/5, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6864 (base 14) to base 15\nAnswer: -5580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 46*f**2 + 4*f + 4. Give t(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1064 + -573. What are the prime factors of n?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -13. Let c(i) = 3*i + 8. Let r be c(-2). Let t be (4 + r)*10\/a. Round t to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-21)*234\/((-90)\/10).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18594, -18598, -18612, -18642, -18694, -18774, -18888?\n\"Answer: -v**3 + v**2 - 18594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -7. Solve 3*j + 2 = k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 49*x + 26. Give y(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7559*4.\nAnswer: 30236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -f + 4*b + 7, -2*f + 28 = 2*b. Let v = 51 - f. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 34?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -19*g + 48. Let m be i(-5). Find the second derivative of 33*u - 84*u - 32*u**5 + 17*u**5 + 184*u**5 - m*u wrt u.\nAnswer: 3380*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1949 + -2374. Is -0.3 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5345962, -5345964, -5345966, -5345968, -5345970, -5345972?\nAnswer: -5345974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-5))\/3*(-275)\/(-440)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 80\/14 + (-18)\/(-63). Suppose 0 = z - 2 - 1. Suppose 0 = t - 3*u - 10, 0 = -t - z*t - 5*u + b. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15255.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 2:35 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13869 rounded to the nearest 100?\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose 57 = r*h - 4*i, -6*h + 42 = -3*h + i. Let f = -8 + 10. Solve -f*a - h = -7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-2))\/((-48)\/(10 + -4)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60 + 4543?\nAnswer: 4493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 0*c + 0*c)*(0*c**3 - 6 + 5 + 2*c**3 + c) as k*c**4 + h*c + s*c**3 + p*c**2 + q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 12*s**2 - 23*s - 9. Calculate o(-11).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/36*-9)\/(132\/(-44))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.3 - -20.87. Let j = -0.43 - s. What is the third biggest value in j, -1\/5, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6865906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6113152?\nAnswer: 2, 163, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213 - 213. Let c be (1 - v)*115\/10*46. What is the highest common divisor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34738 is divided by 11494.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/11, -468665, -3.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497766 and 3657.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b = -73*b - 59*b + 720 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 7.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158465913.3400401937 - -158470457.34004. Let y = -4544 + p. Round y to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334860 divided by 15.\nAnswer: -266972\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-186)\/(-18))\/((-1)\/(-6)). Let j(m) = -m**3 + 6*m**3 + 63 - a + 2*m. Calculate j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((72\/30)\/3)\/((-2666)\/(-155))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*w + 1929 + 198, 0 = 3*w - 5*g - 1601. Let j be (2\/(w\/(-21)))\/((-12)\/16). Which is the smallest value? (a) j (b) -1\/12 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1635 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 901\/(-153) - (-7 + 1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01287 rounded to five decimal places?\nAnswer: -0.01287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -779\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/52188 and -11\/36?\nAnswer: 156564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = g - 3190, 4*g - 3196 = -0*k + 2*k. Let m be (-254)\/(2\/(38\/3)). Let z = k - m. Calculate the common denominator of 27\/10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 2. Let v(l) = 3*l + 3. Let a(p) = 4*n(p) + 3*v(p). Let h(k) = 4*k + 5. Suppose 0*c + 2*c = -5*f + 11, f - 2*c = -5. Give f*h(x) - 5*a(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = 2*q. Suppose 7*n + 55 = 2*n. Let w be ((-4)\/(-20))\/((-1)\/n). Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 7*w + 9 = -33*w + 21*w, 13*m + 2*w = -28 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 78. Let z = -2697 + 2726. Determine v(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**6\/120 + p**5\/15 - p**4\/8 - p**3\/3 - 2*p**2. Let t be m(3). Let u = t - -3. Which is bigger: 4\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 28*q - 166. Let p be c(6). Find the third derivative of 406*s**5 - 38*s**p - s**6 + 405*s**5 - 798*s**5 - 3*s wrt s.\nAnswer: -120*s**3 + 780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59643998 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 657*r - 1296*r + 10 + 648*r. Calculate the remainder when 1270 is divided by z(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2024868?\nAnswer: 2, 3, 19, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, t: 8, y: 2, j: 2}. What is prob of sequence tjyt?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15742 - 6606054.396?\nAnswer: -6621796.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -64*t - 4. Let r be d(3). Let h = r - -93. Let k = h + 147. Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i - 18*i - 540 = 0. Suppose 37*h - 179425 = i*h. 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 59\/13814 and 55\/86.\nAnswer: 594002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-7)\/(-2) - (-147 + -1735). Let p(c) = c**2 + 2*c - 3. Let t be p(2). Suppose -6*v = -t*b - 3*v + 1867, -5*v - w = -5*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*j + 8 = 0, 0 = -7*z + 6*z - 4*j - 1. Solve z*o = 2*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -253, -260, -259, -244, -209, -148, -55, 76?\n\"Answer: a**3 - 2*a**2 - 8*a - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/(-15)*(-12)\/5. Let v be (10\/(-8))\/((-2)\/j). Which is the closest to -5? (a) v (b) 0.4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3461 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 7*a**2 - 5*a + 7. Let t be u(-6). Let q be t\/(3 - (-42)\/(-15)). Let y(n) = n**3 - 5*n**2 + n + 1. Determine y(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*31*(-44636)\/(-11159)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50117 - 54988 + 24367 = -1463*y + 34839 for y.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1446, 1456, 1482, 1530, 1606, 1716, 1866?\nAnswer: 2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9*v - 2348. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00903656 rounded to 4 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1651, -3353, -5055, -6757, -8459?\n\"Answer: -1702*c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 16 = 2*k, w = -5*k + 4*w - 1. Let y(a) = -a**3 - 4*a**2 - 4*a - 3. Let q be y(k). Let p = -2 - q. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + 0.25. Let t = y - 0.25. Which is the closest to 0.2? (a) t (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 138542 in 5, 3, -5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4 + 4, 0 = -r + 3*l + 24. Is r at most as big as 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.3? (a) -5 (b) -2\/3 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 89 = -4*i - 4*b, 4*i - 92 = 2*b. Let c = i + -33. Let y = -25\/2 - c. Is y smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + u - 16)*(2 - 2 - 1).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 19*c**2 + 130*c + 682. Determine j(-11).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 12*q - 295. Suppose 2*h + 3*s = -h + 60, 3*s + 48 = 3*h. Calculate the remainder when b(38) is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jma when three letters picked without replacement from {m: 8, j: 2, w: 2, a: 3}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -243*l**6\/40 - 89*l**3\/3 - 368*l**2. Differentiate f(u) wrt u.\nAnswer: -2187*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-108) + 79016\/(-306). Are q and -242 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 + 2*x**2 - 3*x**2. Suppose 0 = -2*d + 4*t - 12, 3*t + 10 = -3*d + 7*t. Let a(i) = 0*i - 4*i + 4*i - i**d. Give r(a(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p)\/p**(-18) assuming p is positive.\nAnswer: p**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 263340 and 336699?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(0 + (sqrt(605) + 2 + sqrt(605)*-2 - (-1 + sqrt(605) + 2)))**2.\nAnswer: -9685 + 176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 8) in base 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -9. Suppose i - 2*i - 5*c + d = 0, c = -i + 11. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcttiustoiicict. What is prob of sequence tcot?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/4)\/(p**(1\/28)*p)*p**(-31)*p*p**(-46)*p assuming p is positive.\nAnswer: p**(-1061\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259633*d - 259362*d = 29539 for d.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 165 and -1161330616.\nAnswer: -1161330451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1179987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856352664.\nAnswer: 2, 3, 11893787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275797\/5 - 55159. Solve -12\/5 + x*k + 2\/15*k**2 = 0 for k.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000000011 - 1001?\nAnswer: -101000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 195*g - 1562. Let k be b(8). Put -12, -3, k, 83, 3 in descending order.\nAnswer: 83, 3, k, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155 + -148 - 1573\/232 and -1\/58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3335220, 6670446, 10005674, 13340904?\n\"Answer: s**2 + 3335223*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x, -4*j - 2*x = x + 12. Suppose 3*q + 2*a = 14, q - a + 4 = 7. Let w(v) = -97*v + 4 + 98*v - 6 + 0. Let l(k) = 2*k - 2. What is j*l(s) + q*w(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 6:15 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*x + 2*r + 3, -2*x - 7 = r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (665\/(-380))\/((-63)\/(-333))?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11033000 to the nearest 100000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 10*u + 7 = -15*u - 56, 4*d - 14 = -39*u + 37*u for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 486 - 493. Which is smaller: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/56*(-2)\/(-10)*12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -17?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 44 = n. Let p be 4\/6 - 238\/(-3). Suppose p = u + 5*h, -5*h = 2*u + u - 190. Calculate the highest common divisor of n and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - z**2 + 1. Let t be 7\/(140\/(-16))*-25. Let v = -11 + t. Calculate the least common multiple of v and x(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -474 + -22016?\nAnswer: -2248a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from ytzyzzztzyzyzyyzt.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from iiigiiiggiiggi.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21541428 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -20. Let m = -3 + s. Suppose 2*b - 22 = -2*b + 2*y, -m = 5*y. Calculate the lowest common multiple of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.225 - 0.18. Let y = -52.5 + 50.445. Let i = y - u. What is i rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18855 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 2*n - 29\/6*n**4 + 17 + 0*n**2 + 0*n**3. Let c(u) = -u**2. What is c(a(p))?\nAnswer: -3364*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/37492176 and 109\/93730440?\nAnswer: 187460880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -61*p**7\/210 + 26*p**3\/3 - 25*p**2\/2 - 85. Let b(v) be the second derivative of l(v). Differentiate b(y) wrt y.\nAnswer: -244*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -288, -1027, -2466, -4839, -8380, -13323, -19902?\nAnswer: -28351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l - 1244 = -3743. Calculate the remainder when 679 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 + 194 = 47*n - 660. Let x = 3129 - 1948. What is the remainder when x is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -863002, -862999, -862996, -862993, -862990?\nAnswer: -862987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*1\/1)\/((-1179)\/(-231084))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 + 11*d - 7. Let w be 1 - -1 - (1 + 3). Let u(y) = -3*y**2 - 5*y + 3. Determine w*c(b) - 5*u(b).\nAnswer: b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*n**3\/2 - 255*n**2\/2 + 105*n + 820.\nAnswer: 5*(n - 4)*(n + 2)*(5*n - 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 + 72*u - 560. Determine y(-15).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2209\/376 + (-2)\/(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3772668 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1348313?\nAnswer: -1348318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 348 - 348.2. Sort g, 4, 0, 7.\nAnswer: g, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19990822 is divided by 265.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3*u + 8*u)*(3 + u**2 - 3 + 1 - 1 + 2*u**2 + (-2*u + 3*u - 3*u)*(4*u + 2*u - 4*u)) to d*u + x*u**3 + i*u**2 + r and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*c + 64, 2*m + 5*c - 4*c = 84. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -28*g. Let q(s) = s**3 + 4*s**2 - 5*s - 1. Let m be q(-5). Let v(j) = -j. Let y(n) = m*r(n) + 21*v(n). Let f(i) = 3*i. Determine f(y(o)).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202 - -1701. List the prime factors of u.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11735, 11734, 11735, 11738, 11743?\nAnswer: 11750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 44?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (41\/(-205)*(-2)\/((-24)\/20))\/(-1). Let v(f) be the third derivative of -1\/180*f**5 - 1\/72*f**4 + 0 + o*f**3 + 5*f**2 + 0*f. Solve v(a) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 186 + 3666. Let d = b + -421. What is the highest common factor of d and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84962 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-2))\/(7 + -4). Is (v - (-9)\/(-18))*(385 - 1) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14355 divided by -435\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173449.\nAnswer: 29, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 448\/19 - 302\/95. Let c = 20 - m. Is c at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76287464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a factor of 150692220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 36. Suppose 2*j - 3 = m. Solve 0 = -5*z - j, 2*z - 7*z = -3*y + 34 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 8 = 3*n - 6, -3*y + 6 = -3*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 2*x**3 - 30.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -874*27290\nAnswer: -23851460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**8\/1344 + n**6\/90 - n**5\/20 - 2*n**2. Let r(s) be the third derivative of a(s). Differentiate r(w) with respect to w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16\/3, 23.3, -3\/56, 40?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 169*l**2 - 20*l + 20. Give d(1).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14169856.\nAnswer: 2, 55351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*p + 2 + (-3 + 4 + 5)*(p + 4*p - 19*p) - p - 3*p + 2*p.\nAnswer: -89*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 845 = 523 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 586212330 by -3686870.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89003 is divided by 44488?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30664.\nAnswer: 2, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115713144?\nAnswer: 2, 3, 535709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 15.69?\nAnswer: 0.3138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -28, -56, -94, -142, -200, -268?\n\"Answer: -5*q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35279 smaller than 35276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnenqnjqunqjnujqnqjn. What is prob of picking 1 q, 1 j, and 1 e?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19182 + -19493. Sort -1\/2, 0.11, u in increasing order.\nAnswer: u, -1\/2, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 917.67 (b) 4\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894518 is divided by 284.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -27*k + 4*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 22\/477427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from mzggzzgmgggmmggg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220 - 217. Let z = -4.1 - 0.9. Which is the closest to 0.4? (a) w (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6\/71, -1\/3, 20?\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 9 = 30 + 9. Put 15, -2, 1, z, -1 in increasing order.\nAnswer: -2, -1, 1, z, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3068079 + 165.\nAnswer: 3068244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 18*u - 326. Determine m(40).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1 (b) -2 (c) -11 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s**2*u**2 - 2*s**2*u + 17*s**2 + 10*s*u**4 + s*u + 2*u**3 wrt u?\nAnswer: 8*s**2 + 120*s*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (sqrt(637) + 0)**2*-6 + -3.\nAnswer: -3822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298016 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0 = -3. Calculate the lowest common multiple of 2\/(-4) + (-11)\/(-2) and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166333401 != -166333404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1683*q + 14 = 1681*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2858 is divided by 222.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 7*l**2 - l - 7. Let w be h(-7). Does 18 divide -1 - -54 - (-1 + w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 631*a + 678*a + 538*a - 2118*a - 2*a**2.\nAnswer: -2*a**2 - 271*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 60 = 2*l - 2, -5*l - 15984 = -5*f - 15844 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2256.559 to the nearest ten.\nAnswer: -2260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}